%!PS-Adobe-2.0 %%Creator: dvips(k) 5.94a p1.6 Copyright 2003 ASCII Corp.(www-ptex@ascii.co.jp) %%+ based on dvips(k) 5.94a Copyright 2003 Radical Eye Software (www.radicaleye.com) %%Title: paper.dvi %%CreationDate: Sat Feb 4 02:13:58 2006 %%Pages: 6 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: Ryumin-Light-H Times-Roman CMSY8 CMSY10 %%+ GothicBBB-Medium-H Times-Bold Times-Italic CMMI9 CMR9 CMSY9 %%+ Helvetica CMMI6 CMR6 CMSY6 CMMI8 CMR8 Courier %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -o paper.ps paper.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2006.02.04:0213 %%BeginProcSet: texc.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat {BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B /M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ 0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: 8r.enc 0 0 % File 8r.enc as of 2002-03-12 for PSNFSS 9 % % This is the encoding vector for Type1 and TrueType fonts to be used % with TeX. 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All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 49 /one put dup 50 /two put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 60 /less put dup 71 /G put dup 80 /P put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 78 /N put dup 107 /k put dup 110 /n put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 102 /braceleft put dup 103 /braceright put readonly def /FontBBox{-30 -958 1146 777}readonly def /UniqueID 5000819 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 49 /one put dup 50 /two put dup 57 /nine put dup 61 /equal put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec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a<2537>p 929 2453 a<2567>p 1009 2453 a<2573>p 1089 2453 a<2122>p 1169 2453 a<4267>p 1249 2453 a<352c>p 1329 2453 a<4c4f>p 1409 2453 a<254d>p 1489 2453 a<2543>p 1569 2453 a<2548>p 1648 2453 a<256f>p 1728 2453 a<213c>p 1808 2453 a<252f>p 1876 2453 a<2122>p 1956 2453 a<254d>p 2036 2453 a<2543>p 2116 2453 a<2548>p 2196 2453 a<256f>p 2275 2453 a<213c>p 2355 2453 a<252f>p 2435 2453 a<2562>p 2515 2453 a<2547>p 2595 2453 a<256b>p 2675 2453 a<4a2c>p 2755 2453 a<3364>p 2835 2453 a<3c6a>p 2915 2453 a<4b21>p Ft 568 2826 a(Quasi-Dynam) r(ic) 33 b(Netw) o(ork) g (Model) h(P) n(artition) g(Method) 686 3017 y(for) h(Accelerating) e(P) n(arallel) g(Netw) o(ork) h(Simulation) p Fs 683 3243 a(Gomez) 25 b(OSCAR) p FA 1327 3206 a(y) p Fs 1363 3243 a(,) g(Hiro) o(yuki) f(OHSAKI) p FA 2173 3206 a(y) p Fs 2209 3243 a(,) h(and) f(Mak) o(oto) g(IMASE) p FA 3071 3206 a(y) p Fz 537 3428 a(y) p Fx 44 w(Graduate) d(School) g(of) g (Information) f(Science) h(and) g(T) -6 b(echno) n(logy) g(,) 21 b(Osaka) g(Uni) n(v) o(e) n(rsity) 1081 3552 y(1-5) g(Y) -9 b(amadao) n(ka,) 21 b(Suita,) h(Osaka,) e(565-08) n(71) h(Japan) 973 3677 y(E-mail:) p Fz 28 w(yf) p Fx(o-gomez) n(,oosaki,ima) n(se) p Fz(g) p Fx(@ist.osaka-u.a) n(c.jp) p Fr -189 3869 a(Abstract) p Fu 79 w(In) 29 b(this) h(paper) -5 b(,) 32 b(we) e(pro) n(pose) g(a) f (netw) o(ork) g(mod) n(el) h(partition) e(method) g(called) p Fq 30 w(QD-P) -7 b(A) n(RT) 30 b(\(Quasi-Dy) n(namic) f(network) h (model) -189 3999 y(P) -7 b(ART) i(ition) 26 b(method\)) p Fu 26 w(for) h(acceleratin) n(g) h(parallel) e(netw) o(ork) g (simulation.) 46 b(The) 27 b(k) o(e) o(y) f(of) h(QD-P) -8 b(AR) j(T) 28 b(is) g(to) g(utilize) f(the) g(f) o(act) h(that) f(a) g (netw) o(ork) -189 4129 y(simulation) h(is) i(typica) n(lly) f (repeated) f(se) n(v) o(eral) g(times) h(with) g(the) g(same) g(param) n (eter) g(set) g(for) f(estimating) h(the) f(con\002den) n(ce) h(interv) n(al) f(of) h(steady) -189 4259 y(state) 22 b(measur) n(es.) 28 b(QD-P) -8 b(AR) j(T) 22 b(grad) n(ually) f(optimiz) n(es) h(partition) e(of) h(a) g(netw) o(ork) f(mod) n(el) i(based) e(on) g(past) i (simulation) e(results) h(such) g(as) g(the) g(total) -189 4389 y(simulation) 27 b(time,) j(CPU) f(usage) f(of) g(comp) n(uting) g (resou) n(rces,) j(and) c(traf) n(\002c) h(intensity) g(\(i.e.,) h(the) f(numb) n(er) g(of) g(pack) o(ets) g(transmitted\)) f(of) h(each) -189 4519 y(link.) 37 b(At) 24 b(the) h(end) e(of) h(each) g(parallel) g (simulation) f(run,) h(QD-P) -8 b(AR) j(T) 25 b(re-par) n(titions) g (the) f(netw) o(ork) f(mode) n(l) i(based) f(on) g(such) g(infor) n (mation) g(aim-) -189 4649 y(ing) d(at) h(minim) n(izing) f(commu) n (nication) f(o) o(v) o(erh) n(ead) h(amon) n(g) h(comp) n(uting) f (resou) n(rces) h(and) f(balan) n(cing) g(load) g(of) g(sub-n) n(etw) o (ork) g(mod) n(els) h(e) o(x) o(ecu) n(ted) -189 4779 y(on) i(comp) n(uting) g(resourc) n(es.) 39 b(Thro) n(ugh) 24 b(se) n(v) o(er) n(al) h(e) o(xperim) n(ents) g(using) f(a) h(para) n (llel-distrib) n(uted) f(netw) o(or) n(k) h(simulator) m(,) f(we) h (sho) n(w) f(ho) n(w) g(parallel) -189 4909 y(netw) o(ork) 19 b(simulation) g(can) h(be) g(accelerated) g(using) f(QD-P) -8 b(AR) j(T) 21 b(by) f(grad) n(ually) g(impro) o(v) n(ing) g(the) g (netw) o(ork) f(mod) n(el) i(partition.) p Fr -189 5037 a(K) n(ey) f(w) o(ords) p Fu 79 w(P) o(arallel) h(Simulation) n(,) g (Lar) o(g) n(e-Scale) f(Netw) o(ork,) f(Netw) o(ork) h(Mod) n(el) h(P) o (artition) f(Metho) n(d) p Fp -102 5378 a(1) 88 b(Intr) n(o) r(duction) p Fo -117 5561 a(In) 27 b(recent) g(years,) j(demand) e(for) f(a) g (techniqu) r(e) g(to) g(e) n(v) n(aluate) h(the) f(perfor) o(-) -189 5682 y(mance) j(of) f(lar) o(ge-scale) g(netw) o(orks) h(has) f (heightened) i(along) e(with) g(the) g(in-) -189 5804 y(creasing) h(size) g(and) g(comple) o(x) r(ity) f(of) g(the) h (Internet) g([1,) 17 b(2].) 55 b(The) 30 b(Internet) 1967 5318 y(today) 21 b(is) f(a) g(best-ef) n(fort) h(netw) o(ork,) g(and) g (commun) r(ication) f(quality) h(between) 1967 5440 y(end) i(nodes) g (is) f(in) g(no) h(w) o(ay) g(guaranteed.) 34 b(Of) 22 b(course,) i(rob) o(ustness) f(to) f(some) 1967 5561 y(e) o(xtent) i(has) g(been) g(achie) n(v) o(ed) h(by) f(dyna) r(mic) f (routing) h(mechan) r(isms) f(such) h(as) 1967 5683 y(OSPF) c(and) i (BGP) e(e) n(v) o(en) i(in) g(the) f(current) h(Internet.) 30 b(Ho) n(we) n(v) o(e) r(r) m(,) 21 b(the) g(Internet) 1967 5805 y(itself) d(is) g(indispensa) r(ble) g(as) h(society') l(s) g (commun) r(ication) g(infrastructure,) f(so) 3755 6030 y(\227) g(1) h(\227) p dyy eop end %%Page: 2 2 TeXDict begin 2 1 bop Fo -189 -131 a(a) 23 b(techniqu) r(e) g(to) g(e) n (v) n(alua) r(te) g(the) g(performanc) r(e) g(of) g(lar) o(ge-scale) h (netw) o(orks) g(is) -189 -9 y(in) d(strong) g(demand) h(to) e(ensure) i (the) f(reliability) -5 b(,) 20 b(safety) -5 b(,) 21 b(and) g(rob) o(ustness) h(of) -189 113 y(netw) o(orks,) f(to) g(allo) n (w) f(future) g(netw) o(ork) i(e) o(xpanda) r(bility) e(and) h(design,) g(and) g(to) -189 234 y(assess) e(the) g(impact) g(of) g(terrorism) g (and) g(natural) h(disasters.) -117 356 y(Ho) n(we) n(v) o(er) m(,) 33 b(con) m(v) o(e) r(ntional) d(techniques) h(to) f(e) n(v) n(alua) r(te) f(the) h(performan) r(ce) -189 478 y(of) 20 b(a) g(netw) o(ork) h(such) g(as) f(mathematical) g(analysis) h(techniques) g(and) g(simula-) -189 599 y(tion) e(technique) r(s) g(are) g(directed) g(to) n(w) o(ard) h (relati) n(v) o(ely) f(small-scale) g(netw) o(orks.) -189 721 y(As) 28 b(an) h(e) o(xample,) i(queuing) f(theory) f([3]) f(has) g (been) i(widely) e(used) h(in) f(per) o(-) -189 843 y(formance) g(e) n (v) n(alua) r(tion) f(of) g(con) m(v) o(en) r(tional) g(compu) r(ter) f (netw) o(ork) r(s,) i(b) o(ut) g(it) e(is) -189 964 y(not) 19 b(readily) f(applied) h(to) f(performanc) r(e) g(e) n(v) n(aluation) h (of) g(the) f(lar) o(ge-scale) g(and) -189 1086 y(comple) o(x) 27 b(Internet.) 44 b(When) 26 b(rigorously) h(analyzing) g(the) f (performance) h(of) -189 1208 y(a) e(netw) o(ork) h(using) g(queuin) r (g) f(theory) -5 b(,) 27 b(the) f(number) g(of) f(states) g(for) g (analysis) -189 1329 y(increases) e(e) o(xpo) r(nentially) g(according) h(to) f(the) g(increase) g(in) g(the) g(number) h(of) -189 1451 y(nodes) c(connec) r(ted) f(to) f(the) h(netw) o(ork) r(.) -117 1573 y(Simulation) 30 b(techniqu) r(es,) j(as) d(opp) r(osed) h(to) f (numerical) i(analysis) f(tech-) -189 1694 y(niques,) 17 b(allo) n(w) e(performance) i(e) n(v) n(aluation) f(of) g(comple) o(x) g (netw) o(orks) g([4].) 22 b(Per) o(-) -189 1816 y(formance) 33 b(e) n(v) n(aluation) h(of) e(medium-scale) h(netw) o(orks) g(in) f (particular) g(has) -189 1938 y(become) f(possible) g(through) h(the) e (increasing) h(speeds) g(and) g(capacities) g(of) -189 2060 y(computers) 24 b(in) e(recent) h(years.) 34 b(Ho) n(we) n(v) o (er) m(,) 24 b(commun) r(ication) e(protoco) r(ls) g(for) -189 2181 y(the) e(Internet) g(are) f(e) o(xtremely) h(comp) r(le) o(x,) f (so) h(massi) n(v) o(e) g(compu) r(ter) f(resources) -189 2303 y(are) 28 b(required) i(for) e(simulation) h(of) f(netw) o(orks,) k (and) d(simulation) g(of) f(lar) o(ge-) -189 2425 y(scale) g(netw) o (orks) h(is) f(still) f(dif) n(\002cult.) 50 b(The) 29 b(majority) f(of) g(netw) o(ork) h(simula-) -189 2546 y(tors) 22 b(widely) h(used) g(today) g(simulate) f(beha) o(vior) h(at) f(a) h(pack) o(et) g(le) n(v) o(el,) g(so) f(the) o(y) -189 2668 y(use) 28 b(an) g(e) n(v) o(ent-dri) n(v) o(en) h(architecture.) 50 b(A) 28 b(technique) h(for) e(f) o(aster) h(speed) h(of) -189 2790 y(netw) o(ork) f(simulators) g(operating) g(on) g(a) f(single) h (compu) r(ter) f(has) g(also) h(been) -189 2911 y(propose) r(d) 20 b([5],) h(although) g(a) g(dif) n(ferent) f(approac) r(h) g(is) g (neede) r(d) g(to) g(simulate) h(a) -189 3033 y(lar) o(ge-scale) e (netw) o(ork.) -117 3155 y(Research) d(with) f(re) o(gard) h(to) f (parallel) h(simulations) f(as) h(a) f(techno) r(logy) h(to) f(al-) -189 3276 y(lo) n(w) h(simulation) g(of) g(lar) o(ge-scale) g(netw) o(orks) g (has) g(been) h(condu) r(cted) f(in) f(recent) -189 3398 y(years) 20 b([6\226) q(8].) 26 b(Construction) 21 b(of) f(relati) n(v) o(ely) g(ine) o(xpen) r(si) n(v) o(e) g(cluster) g(comput-) -189 3520 y(ers) g(has) g(become) g(easier) g(through) h(the) f(f) o(aster) f (speeds) i(and) f(lo) n(wer) g(prices) g(of) -189 3642 y(desktop) g(compu) r(ters) e(and) i(the) f(spread) h(of) f(high-speed) h(netw) o(ork) g(interf) o(aces) -189 3763 y(such) d(as) g(Gigabit) f (Ethernet.) 22 b(In) 17 b(addition,) g(Grid) f(compu) r(ting) g(using) h (a) g(wide-) -189 3885 y(area) k(netw) o(ork) h(to) g(inte) o(grate) f (computer) h(resources) g(around) h(the) e(w) o(orld) g(has) -189 4007 y(also) e(attracted) g(attention.) -117 4128 y(Ho) n(we) n(v) o (er) m(,) 42 b(the) 37 b(majority) h(of) f(netw) o(ork) h(simulators) f (ha) o(v) o(e) h(an) f(e) n(v) o(ent-) -189 4250 y(dri) n(v) o(en) 19 b(architecture,) f(so) h(parallelization) f(of) g(netw) o(ork) h (simulators) g(is) e(dif) n(\002-) -189 4372 y(cult.) 30 b(The) 21 b(e) o(x) o(ecution) h(speed) g(of) f(parallel) h(simulation) f(is) g(hea) o(vily) g(af) n(fected) -189 4493 y(by) 15 b(partitioning) h(of) f(a) g(netw) o(ork) g(model;) i(i.e.,) d(the) h (total) g(simulation) g(time) g(de-) -189 4615 y(pends) j(on) e(ho) n (w) h(a) g(netw) o(ork) g(model) g(is) f(di) n(vided) h(into) g (multiple) f(sub-netw) o(o) r(rk) -189 4737 y(models,) j(each) g(of) g (which) g(will) f(be) g(assigned) i(to) f(a) f(dif) n(ferent) h (computing) h(re-) -189 4858 y(source.) -117 4980 y(In) 15 b(this) f(paper) m(,) i(we) e(propo) r(se) g(a) h(netw) o(ork) g(model) g(partition) g(method) h(called) p Fn -189 5102 a(QD-P) -7 b(ART) 23 b(\(Quasi-Dyna) r(mic) h(network) i(model) g(P) -7 b(ART) h(ition) 25 b(method\)) p Fo 26 w(for) -189 5223 y(accelerating) f(parallel) g(netw) o(ork) h(simulation.) 37 b(The) 24 b(k) o(e) o(y) h(of) e(QD-P) -7 b(AR) l(T) 22 b(is) -189 5345 y(to) 16 b(utilize) f(the) h(f) o(act) g(that) g(a) g (netw) o(ork) h(simulation) f(is) f(typically) i(repeated) f(se) n(v-) -189 5467 y(eral) h(times) f(with) g(the) h(same) g(parameter) g(set) g (for) g(estimating) f(the) h(con\002den) r(ce) -189 5589 y(interv) n(al) i(of) g(steady) h(state) e(measures.) 24 b(Namely) -5 b(,) 19 b(QD-P) -7 b(AR) l(T) 17 b(gradu) r(ally) h(op-) -189 5710 y(timizes) 25 b(partition) h(of) f(a) h(netw) o(ork) g(model) g(based) h(on) f(past) f(simulation) h(re-) 1967 -131 y(sults) i(such) i(as) e(the) h(total) g(simulation) g(time,) h(CPU) e (usage) h(of) g(computing) 1967 -9 y(resources,) 18 b(and) h(traf) n (\002c) e(intensity) h(\(i.e.,) f(the) h(number) h(of) f(pack) o(ets) h (transmit-) 1967 113 y(ted\)) 24 b(of) f(each) i(link.) 37 b(At) 24 b(the) g(end) g(of) g(each) g(parallel) g(simulation) g(run,) h (QD-) 1967 234 y(P) -7 b(AR) l(T) 25 b(re-partitions) h(the) h(netw) o (ork) g(model) g(based) h(on) f(such) g(information) 1967 356 y(aiming) e(at) f(minimizing) h(commun) r(ication) f(o) o(v) o (erhea) r(d) g(among) i(computing) 1967 478 y(resources) i(and) f (balancing) i(load) e(of) g(sub-netw) o(ork) h(models) g(e) o(x) o (ecuted) g(on) 1967 599 y(computing) 20 b(resources.) 2039 721 y(The) 15 b(structure) h(of) g(this) g(paper) g(is) f(as) h(follo) n (ws.) 22 b(First,) 15 b(Section) h(2) g(describes) 1967 843 y(related) j(w) o(ork) g(re) o(garding) h(netw) o(ork) f(model) h (partition) f(methods.) 24 b(Section) 18 b(3) 1967 964 y(e) o(xplains) 28 b(QD-P) -7 b(AR) l(T) f(,) 28 b(our) g(netw) o(ork) g (model) g(partition) g(algorithm.) 49 b(Sec-) 1967 1086 y(tion) 30 b(4) h(illustrates) f(an) h(e) o(xample) g(partition) g(of) g (a) f(netw) o(ork) i(model) f(using) 1967 1208 y(QD-P) -7 b(AR) l(T) f(.) 21 b(In) g(Section) g(5,) g(we) g(present) g(se) n(v) o (eral) g(e) o(xperimental) h(results) e(of) 1967 1329 y(QD-P) -7 b(AR) l(T) f(,) 22 b(sho) n(wing) h(ho) n(w) f(parallel) g (netw) o(ork) g(simulation) g(can) g(be) g(accel-) 1967 1451 y(erated) 17 b(by) h(gradua) r(lly) f(impro) o(ving) h(the) f (netw) o(ork) i(model) f(partition.) k(Finally) -5 b(,) 1967 1573 y(Section) 19 b(6) f(conc) r(ludes) h(this) f(paper) i(and) f (discusses) h(future) f(research) h(topics.) p Fp 2054 1754 a(2) 88 b(Relate) r(d) 22 b(W) -7 b(ork) p Fo 2039 1937 a(In) 30 b(the) g(literature,) i(there) e(ha) o(v) o(e) g(been) h (se) n(v) o(eral) g(studies) f(on) h(a) f(netw) o(ork) 1967 2058 y(model) g(partition) g(method) h(for) f(accelerating) g(parallel) g(netw) o(ork) h(simula-) 1967 2180 y(tion.) 64 b(In) 33 b([9],) i(the) e(authors) g(ha) o(v) o(e) g(propo) r(sed) g(a) f(netw) o (ork) i(model) f(parti-) 1967 2302 y(tion) 27 b(method) g(for) g (cluster) g(computers.) 48 b(The) 27 b(k) o(e) o(y) h(of) e(the) h (propo) r(sed) g(par) o(-) 1967 2423 y(tition) e(method) i(is) e(to) h (vie) n(w) g(a) g(netw) o(ork) g(model) h(as) e(a) h(graph,) i(and) f (di) n(vides) 1967 2545 y(it) h(into) h(se) n(v) o(eral) g(sub-graph) r (s) f(using) i(a) f(simple) f(min-cut) h(algorithm) h([10].) 1967 2667 y(The) 25 b(weight) h(of) g(each) g(edge) g(is) f(assigned) i(as) f (the) f(traf) n(\002c) g(intensity) h(of) f(the) 1967 2788 y(correspond) r(ing) 30 b(link.) 56 b(The) 30 b(traf) n(\002c) f (intensity) h(is) g(estimated) g(using) h(TCP) 1967 2910 y(steady-state) 20 b(analysis.) 28 b(Although) 21 b(the) f(propose) r (d) g(partition) g(method) h(tries) 1967 3032 y(to) d(minimize) h (commun) r(ication) g(o) o(v) o(erhead) h(among) g(computing) g (resources,) 1967 3154 y(the) 28 b(partition) h(result) f(might) g(not) h(be) g(good) g(since) g(it) f(simply) h(uses) f(rough) 1967 3275 y(estimation) 19 b(of) g(the) g(traf) n(\002c) f(intensity) -5 b(.) 2039 3397 y(In) 26 b([11],) h(the) f(authors) h(ha) o(v) o(e) f (proposed) h(a) f(benchm) r(ark-based) h(netw) o(ork) 1967 3519 y(model) 22 b(partition) f(method) i(for) e(cluster) g(comp) r (uters.) 30 b(The) 22 b(proposed) h(parti-) 1967 3640 y(tion) f(algorithm) g(utilizes) f(a) h(graph) h(partitioning) f(tool) g (called) g(METIS) e([12]) 1967 3762 y(for) 14 b(di) n(viding) i(a) e (netw) o(ork) i(model) f(into) f(se) n(v) o(eral) h(sub-netw) o(o) r (rk) f(models.) 22 b(Sim-) 1967 3884 y(ilar) g(to) h([9],) g(the) g (propose) r(d) f(partition) h(algorithm) g(utilizes) g(simple) g (estima-) 1967 4005 y(tion) 17 b(of) g(traf) n(\002c) f(intensity) h (of) g(each) h(link,) f(so) h(that) e(the) h(partition) h(result) e (might) 1967 4127 y(not) j(be) g(good) r(.) p Fp 2054 4309 a(3) 88 b(Quasi-Dynamic) 19 b(Netw) o(ork) e(Model) h(P) o (artitio) r(n) f(Method) p Fo 2039 4491 a(In) 31 b(this) g(section,) j (we) d(\002rst) f(e) o(xplain) h(the) g(basic) h(idea) f(of) g(our) h (netw) o(ork) 1967 4613 y(model) 20 b(partition) f(method) h(called) g (QD-P) -7 b(AR) l(T) 17 b(\(Quasi-Dynam) r(ic) i(netw) o(ork) 1967 4734 y(model) g(P) -7 b(AR) l(T) m(ition) 18 b(method\),) h(follo) n (wed) h(by) f(its) f(algorithm) i(description.) p Fm 2039 4856 a(3.) 12 b(1) 72 b(Basic) 19 b(Idea) p Fo 2039 4978 a(The) 24 b(k) o(e) o(y) h(of) f(QD-P) -7 b(AR) l(T) 22 b(is) i(to) g(utilize) f(the) h(f) o(act) h(that) f(a) g(netw) o(ork) h (simu-) 1967 5099 y(lation) c(is) g(typically) h(repeated) g(multiple) f (times) g(with) g(the) g(same) h(parameter) 1967 5221 y(set) c(for) h(estimating) g(the) g(con\002den) r(ce) g(interv) n(al) g (of) g(steady) g(state) g(measures.) 2039 5343 y(In) 25 b(man) o(y) h(netw) o(ork) g(simulation) f(studies,) i(performance) f (analysts) g(gen-) 1967 5464 y(erally) 33 b(need) h(to) e(measure) i (statistics,) i(such) d(as) g(through) r(put,) j(mean) e(and) 1967 5586 y(v) n(ariance) 25 b(of) f(delay) -5 b(,) 27 b(and) e(pack) o(et) g (loss) f(rate,) i(in) e(steady) h(state) f(or) g(transient) 1967 5708 y(state) j([13].) 48 b(In) 27 b(particular) m(,) i(statistics) d (in) i(steady) f(state) g(are) h(generally) f(of) 3755 6030 y(\227) 18 b(2) h(\227) p dyy eop end %%Page: 3 3 TeXDict begin 3 2 bop Fo -189 -131 a(great) 30 b(concern.) 57 b(Since) 29 b(most) h(pack) o(e) r(t-le) n(v) o(el) f(simulation) h (uses) g(a) g(Monte) -189 -9 y(Carlo) 24 b(simulation) h(techniqu) r(e) f(and) h(the) g(simulation) g(time) f(is) h(\002nite,) g(mea-) -189 113 y(sured) g(statistics) f(in) h(steady) g(state) g(cannot) g(be) g (a) g(precise) g(estimate) f(of) h(real) -189 234 y(statistics.) g (Hence,) 20 b(for) f(v) n(alidating) i(accurac) o(y) g(of) e(measured) i (statistics,) e(the) -189 356 y(con\002denc) r(e) e(interv) n(al) h(of) f(steady) h(state) g(measures) g(are) f(typically) h(calculated) -189 478 y(by) h(sampling) h(indepen) r(dent) f(steady) h(state) e (measures.) -117 599 y(There) k(are) g(se) n(v) o(eral) g(techniques) h (for) f(estimating) f(the) h(con\002den) r(ce) g(inter) o(-) -189 721 y(v) n(al) k(of) g(steady) g(state) g(measures,) i(such) e(as) g (the) g(independ) r(ent) f(replications) -189 843 y(method,) 31 b(the) d(batch) h(means) f(method) r(,) h(the) f(autore) o(gres) r(si) n (v) o(e) g(method,) j(the) -189 964 y(spectrum) 21 b(analysis,) f(and) h (the) f(re) o(generati) n(v) o(e) h(method) f([13].) 27 b(In) 20 b(theory) -5 b(,) 21 b(ad-) -189 1086 y(v) n(anced) 28 b(techniqu) r(es,) g(such) f(as) g(the) g(autore) o(gressi) n(v) o(e) g (method) h(and) f(the) g(re-) -189 1208 y(generati) n(v) o(e) h (method,) i(are) d(ef) n(fecti) n(v) o(e) g(for) g(estimating) g(the) g (con\002den) r(ce) g(in-) -189 1329 y(terv) n(al) 22 b(since) f(the) h(simulation) g(time) f(required) h(can) g(be) g(much) g (smaller) f(than) -189 1451 y(that) h(of) h(other) f(estimation) h (techniques.) 35 b(Ho) n(we) n(v) o(er) m(,) 23 b(their) g(application) g(are) -189 1573 y(not) d(straightforw) o(ard) h(since,) f(for) g (instance,) g(choosing) h(re) o(generating) g(point) -189 1694 y(needs) k(careful) e(consid) r(eration.) 37 b(In) 24 b(practice,) h(the) e(simplest) h(technique) h(of) -189 1816 y(the) 20 b(indepen) r(dent) g(replications) h(method) g(has) f (been) h(widely) f(used) h(in) f(man) o(y) -189 1938 y(netw) o(ork) d(simulation) f(studies.) 22 b(In) 16 b(the) g(indepen) r(dent) g(replications) g(method,) -189 2060 y(for) 24 b(obtaining) h(samples) f(of) g(steady) g(state) g (measures,) h(a) f(netw) o(ork) h(simula-) -189 2181 y(tion) 18 b(is) g(repeated) h(multiple) e(times) h(with) g(the) g (same) g(parameter) h(set) e(b) o(ut) h(with) -189 2303 y(a) h(dif) n(ferent) g(seed) g(for) g(the) g(random) h(numbe) r(r) e (generator) l(.) -117 2425 y(In) 31 b(QD-P) -7 b(AR) l(T) h(,) 30 b(we) h(utilize) g(this) h(\227) e(a) i(netw) o(ork) g(simulation) g (is) f(typi-) -189 2546 y(cally) c(repeated) h(se) n(v) o(eral) f (times) g(with) g(the) g(same) g(parameter) h(set) e(for) h(esti-) -189 2668 y(mating) f(the) h(con\002dence) g(interv) n(al) f(of) h(steady) f (state) g(measures.) 46 b(Namely) -5 b(,) -189 2790 y(QD-P) e(AR) l(T) 21 b(gradually) i(optimizes) g(partition) f(of) g(a) h(netw) o(ork) g (model) g(based) -189 2911 y(on) 17 b(past) g(simulation) f(results) h (such) g(as) f(the) h(total) f(simulation) h(time,) f(CPU) g(us-) -189 3033 y(age) h(of) g(compu) r(ting) f(resource) r(s,) g(and) i(traf) n (\002c) e(intensity) h(\(i.e.,) f(the) h(number) h(of) -189 3155 y(pack) o(e) r(ts) h(transmitted\)) h(of) g(each) h(link.) 27 b(At) 20 b(the) g(end) h(of) f(each) h(parallel) f(simu-) -189 3276 y(lation) c(run,) g(QD-P) -7 b(AR) l(T) 15 b(re-partitions) g(the) h(netw) o(ork) h(model) g(based) g(on) f(such) -189 3398 y(information) k(aiming) f(at) g(minimizing) g(commu) r(nication) g(o) o (v) o(erhead) i(among) -189 3520 y(computing) e(resources) f(and) g (balancin) r(g) f(load) h(of) g(sub-netw) o(ork) h(models) f(e) o(x-) -189 3642 y(ecuted) i(on) f(compu) r(ting) f(resource) r(s.) p Fm -117 3763 a(3.) 12 b(2) 73 b(Algorithm) p Fo -117 3885 a(First,) 33 b(we) e(de\002ne) g(se) n(v) o(eral) g(terms) g(used) h(through) r(out) f(this) g(paper) h(\(see) -189 4007 y(Fig.) 20 b(1\);) p Fn 21 w(nod) r(e) p Fo 20 w(is) h(either) f(a) h (host) g(or) g(router) g(in) g(simulation,) p Fn 21 w(link) p Fo 21 w(is) f(a) h(trans-) -189 4128 y(mission) 26 b(link) f(conn) r (ecting) g(node) r(s) g(in) g(simulation,) i(and) p Fn 27 w(\003ow) p Fo 25 w(is) e(a) h(stream) -189 4250 y(of) d(pack) o (ets) h(sent) f(from) f(a) h(source) h(node) f(to) g(a) g(destination) g (node.) 36 b(A) 22 b(set) h(of) -189 4372 y(nodes,) c(links,) f(and) h (\003o) n(ws) f(with) f(their) h(attrib) o(utes) f(\(i.e.,) g(system) i (and) f(control) -189 4493 y(parameters\)) 28 b(to) g(be) g(simulated) h (is) e(called) p Fn 28 w(network) i(model) p Fo(.) 50 b(A) 28 b(netw) o(ork) -189 4615 y(model) h(partition) g(method) g (splits) f(a) g(netw) o(ork) i(model) f(into) f(tw) o(o) h(or) f(more) p Fn -189 4737 a(sub-network) 33 b(models) p Fo(.) 64 b(Sub-netw) o(ork) 33 b(models) g(are) f(assigned) h(to) p Fn 33 w(com-) -189 4858 y(puting) 26 b(r) m(esour) m(ce) r(s) p Fo(,) f(each) h(of) f (which) g(runs) g(a) g(parallel) g(netw) o(ork) h(simulator) -189 4980 y(and) d(performs) g(simulation) g(by) g(coordinating) g(with) g (other) f(compu) r(ting) g(re-) -189 5102 y(sources.) 37 b(A) 24 b(netw) o(ork) g(de) n(vice) g(between) g(compu) r(ting) f (resources) i(is) e(called) p Fn -189 5223 a(networking) d(r) m(esour) m (c) r(e) p Fo(.) -117 5345 y(In) 29 b(QD-P) -7 b(AR) l(T) f(,) 29 b(a) g(netw) o(ork) h(model) f(is) g(\002rst) f(represented) i(as) f (an) g(undi-) -189 5467 y(rected) 35 b(graph) p Fl 36 w(G) p Fk 52 w(=) 52 b(\() p Fl(V) t(;) 13 b(E) p Fk 4 w(\)) p Fo(,) 38 b(where) p Fl 36 w(V) p Fk 69 w(=) p Fj 51 w(f) p Fk(1) p Fl(;) p Fk 14 w(2) p Fl(;) 14 b(:) f(:) g(:) p Fj 1 w(g) p Fo 35 w(and) p Fl 35 w(E) p Fk 56 w(=) p Fj -189 5589 a(f) p Fk(1) p Fl(;) p Fk 14 w(2) p Fl(;) g(:) h(:) f(:) p Fj(g) p Fo(.) 23 b(V) -8 b(ertices) 18 b(in) p Fl 18 w(V) p Fo 35 w(correspon) r(d) g(to) g(nod) r(es) g(\(hosts) h(or) f (router\),) g(and) -189 5710 y(edges) j(in) p Fl 20 w(E) p Fo 23 w(correspon) r(d) f(to) f(links) h(between) h(nodes.) 27 b(The) 20 b(weight) g(of) g(edge) 1967 1575 y @beginspecial 71 @llx 462 @lly 479 @urx 811 @ury 2450 @rwi @setspecial %%BeginDocument: figure/overview.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 71 462 479 811 %%Title: overview %%CreationDate: Fri Feb 3 15:35:28 2006 %%Creator: Tgif-4.1.43-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org) %%ProducedBy: (unknown) %%Pages: 1 %%DocumentFonts: (atend) %%EndComments %%BeginProlog /tgifdict 55 dict def tgifdict begin /tgifellipsedict 6 dict def tgifellipsedict /mtrx matrix put /TGEL % tgifellipse { tgifellipsedict begin /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y translate xrad yrad scale 0 0 1 0 360 arc savematrix setmatrix end } def /tgifarrowtipdict 8 dict def tgifarrowtipdict /mtrx matrix put /TGAT % tgifarrowtip { tgifarrowtipdict begin /dy exch def /dx exch def /h exch def /w exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y translate dy dx atan rotate 0 0 moveto w neg h lineto w neg h neg lineto savematrix setmatrix end } def /TGMAX { exch dup 3 1 roll exch dup 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flattenpath strokepath clip newpath } bd /TGSM { tgiforigctm setmatrix } def /TGRM { savematrix setmatrix } def end %%EndProlog %%Page: 1 1 %%PageBoundingBox: 71 462 479 811 tgifdict begin /tgifsavedpage save def 1 SM 1 W 0 SG 72 0 MU 72 11.602 MU TR 72 128 DI 100.000 MU 100 DI DU NE SC GS /tgiforigctm matrix currentmatrix def % POLY/OPEN-SPLINE 0 SG GS NP 250 220 M 320 320 L 410 250 L 560 230 L 710 270 L 580 370 L 590 360 L TGSM 5 W S 1 W GR % POLY/OPEN-SPLINE 0 SG GS NP 380 440 M 320 320 L 410 370 L 580 370 L 590 460 L TGSM 5 W S 1 W GR % POLY/OPEN-SPLINE 0 SG GS NP 410 250 M 420 370 L TGSM 5 W S 1 W GR % POLY/OPEN-SPLINE 0 SG GS NP 560 230 M 420 370 L TGSM 5 W S 1 W GR % OVAL 0.810 0.825 0.810 RG NP 410 250 20 20 TGEL F GS GS NP 410 250 20 20 TGEL S GR GR % OVAL 0.810 0.825 0.810 RG NP 320 320 20 20 TGEL F GS GS NP 320 320 20 20 TGEL S GR GR % OVAL 0.810 0.825 0.810 RG NP 420 370 20 20 TGEL F GS GS NP 420 370 20 20 TGEL S GR GR % OVAL 0.810 0.825 0.810 RG NP 380 440 20 20 TGEL F GS GS NP 380 440 20 20 TGEL S GR GR % OVAL 0.810 0.825 0.810 RG NP 250 220 20 20 TGEL F GS GS NP 250 220 20 20 TGEL S GR GR % OVAL 0.619 0.635 0.619 RG NP 590 460 20 20 TGEL F GS GS NP 590 460 20 20 TGEL S GR GR % OVAL 0.619 0.635 0.619 RG NP 560 230 20 20 TGEL F GS GS NP 560 230 20 20 TGEL S GR GR % OVAL 0.619 0.635 0.619 RG NP 580 370 20 20 TGEL F GS GS NP 580 370 20 20 TGEL S GR GR % OVAL 0.619 0.635 0.619 RG NP 710 270 20 20 TGEL F GS GS NP 710 270 20 20 TGEL S GR GR % TEXT NP 0 SG GS 1 W 780 300 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (node) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (node) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (\(router, host\)) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (\(router, host\)) SH GR GR % TEXT NP 0 SG GS 1 W 270 400 M GS 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (link) SH GR GR % TEXT NP 0 SG GS 1 W 410 510 M GS 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (partition) SH GR GR % TEXT NP 0 SG GS 1 W 410 70 M GS 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (network model) SH GR GR % TEXT NP 0 SG GS 1 W 340 120 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (sub-network) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (sub-network) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (model 1) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (model 1) SH GR GR % TEXT NP 0 SG GS 1 W 630 120 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (sub-network) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (sub-network) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (model 2) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (model 2) SH GR GR % POLY/OPEN-SPLINE 0 SG GS [4 4] 0 SD NP 450 170 M 480.67 235.33 497.17 285.17 499.50 319.50 CT 501.83 353.83 492.00 407.33 470 480 CT TGSM 1 W S [] 0 SD GR % POLY/OPEN-SPLINE 0 SG GS NP 220 190 M 220 160 L 440 160 L 440 190 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 520 190 M 520 160 L 740 160 L 740 190 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 220 110 M 220 80 L 740 80 L 740 110 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS [4 4] 0 SD NP 670 270 M 626.67 300.67 593.33 320.50 570.00 329.50 CT 546.67 338.50 510.00 345.33 7 -75 atan DU cos 14.000 MU 460 exch SU exch sin 14.000 MU 350 exch SU CT TGSM 4 W S [] 0 SD 1 W GR GS TGSM NP 460 350 14.000 6.000 -75 7 TGAT 1 SG CP F 0 SG NP 460 350 14.000 6.000 -75 7 TGAT CP F GR % POLY/OPEN-SPLINE 0 SG GS [4 4] 0 SD NP 280 230 M 299.33 266.67 315.83 283.17 329.50 279.50 CT 343.17 275.83 354.17 267.83 362.50 255.50 CT 370.83 243.17 386.50 231.17 409.50 219.50 CT 432.50 207.83 472.67 204.67 8 86 atan DU cos 14.000 MU 530 exch SU exch sin 14.000 MU 210 exch SU CT TGSM 4 W S [] 0 SD 1 W GR GS TGSM NP 530 210 14.000 6.000 86 8 TGAT 1 SG CP F 0 SG NP 530 210 14.000 6.000 86 8 TGAT CP F GR % TEXT NP 0 SG GS 1 W 550 310 M GS 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (flow) SH GR GR % TEXT NP 0 SG GS 1 W 250 470 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (computing) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (computing) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (resource 1) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (resource 1) SH GR GR % BOX 0.683 0.698 0.683 RG NP 130 520 M 370 520 L 370 660 L 130 660 L CP F GS 10 SM GS NP 130 520 M 370 520 L 370 660 L 130 660 L CP S GR GR % BOX 0.873 0.889 0.873 RG NP 170 540 M 310 540 L 310 640 L 170 640 L CP F GS 10 SM GS NP 170 540 M 310 540 L 310 640 L 170 640 L CP S GR GR % TEXT NP 0 SG GS 1 W 240 590 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (parallel) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (parallel) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (simulator) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (simulator) SH GR GR % POLYGON/CLOSED-SPLINE 0.317 0.317 0.317 RG GS 865 577 TR [-0.574 0.819 -0.819 -0.574 -503 -80] CO 865 NE 577 NE TR NP 865 587 M 865 607 L 910 607 L 910 617 L 955 597 L 910 577 L 910 587 L CP GS EF GR GS TGSM S GR GR % TEXT NP 0.873 0.889 0.873 RG GS 899 583 TR [-0.574 0.819 -0.819 -0.574 -560 -57] CO 899 NE 583 NE TR GR GS 1 W 899 583 TR [-0.574 0.819 -0.819 -0.574 -560 -57] CO 0 24 M GS GS 0 0 AD GR 2 DI NE 0 RM GR GR % TEXT NP 0 SG GS 1 W 710 470 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (computing) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (computing) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (resource 2) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (resource 2) SH GR GR % BOX 0.683 0.698 0.683 RG NP 590 520 M 830 520 L 830 660 L 590 660 L CP F GS 10 SM GS NP 590 520 M 830 520 L 830 660 L 590 660 L CP S GR GR % BOX 0.873 0.889 0.873 RG NP 630 540 M 770 540 L 770 640 L 630 640 L CP F GS 10 SM GS NP 630 540 M 770 540 L 770 640 L 630 640 L CP S GR GR % TEXT NP 0 SG GS 1 W 700 590 M GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (parallel) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (parallel) SH GR 0 29 RM GS GS 0 /Helvetica FF [24 0 0 -24 0 0] MS (simulator) TGSW AD GR 2 DI NE 0 RM 0 SG /Helvetica FF [24 0 0 -24 0 0] MS (simulator) SH GR GR % POLYGON/CLOSED-SPLINE 0.317 0.317 0.317 RG GS 1135 571 TR [0.423 0.906 -0.906 0.423 -496 -99] CO 1135 NE 571 NE TR NP 1135 581 M 1135 601 L 1180 601 L 1180 611 L 1225 591 L 1180 571 L 1180 581 L CP GS EF GR GS TGSM S GR GR % TEXT NP 0.873 0.889 0.873 RG GS 1169 577 TR [0.423 0.906 -0.906 0.423 -518 -71] CO 1169 NE 577 NE TR GR GS 1 W 1169 577 TR [0.423 0.906 -0.906 0.423 -518 -71] CO 0 24 M GS GS 0 0 AD GR 2 DI NE 0 RM GR GR GR tgifsavedpage restore end showpage %%Trailer %MatchingCreationDate: Fri Feb 3 15:35:28 2006 %%DocumentFonts: Helvetica %%EOF %%EndDocument @endspecial Fi 2405 1705 a(Fig.) d(1) 64 b(Netw) o(o) r(rk) 16 b(model) i(parti) r(tion) g(o) o(v) o(ervi) r(e) n(w) p Fk 1967 1959 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 20 w(is) 18 b(deno) r(ted) h(by) p Fl 20 w(w) p Fk 2 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo(.) 24 b(Furthermore,) 19 b(the) h(total) e(numb) r(er) h(of) g(parti-) 1967 2081 y(tions) c(of) h(the) f(netw) o(ork) h(model) g(\(i.e.,) f(the) g(numb) r(er) g(of) g(sub-netw) o(o) r(rk) g(models\)) 1967 2203 y(is) p Fl 22 w(N) p Fo 8 w(.) 36 b(Also,) 24 b(let) p Fl 22 w(T) p Fh 2489 2212 a(k) p Fo 2550 2203 a(be) g(the) f(total) f (simulation) i(time) e(of) h(the) p Fl 24 w(k) p Fo 2 w(-th) g(parallel) 1967 2324 y(simulation,) p Fl 25 w(P) p Fh 2375 2333 a(k) p Fk 2413 2324 a(\() p Fl(n) p Fk(\)) p Fo 23 w(be) h(the) g(CPU) e(usage) j(of) e(the) h(computing) h (resource) p Fl 24 w(n) p Fo 1967 2446 a(in) 18 b(the) p Fl 18 w(k) p Fo 2 w(-th) g(parallel) g(simulation,) g(and) p Fl 19 w(l) p Fh 3038 2455 a(k) p Fk 3076 2446 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 18 w(be) 19 b(the) f(traf) n(\002c) f (intensity) h(of) 1967 2568 y(a) h(link) g(correspond) r(ing) g(to) g (edge) p Fk 19 w(\() p Fl(i;) 14 b(j) p Fk 4 w(\)) p Fo(.) 2039 2689 y(The) 19 b(algorithm) g(of) g(QD-P) -7 b(AR) l(T) 17 b(is) h(as) h(follo) n(ws.) p Fg 2013 2811 a<214a>p Fo 2097 2811 a(1) p Fg 2147 2811 a<214b>p Fn 2254 2811 a(Mak) o(e) h(initial) e(partition) p Fo 2039 2933 a(Before) 26 b(running) h(the) f(\002rst) f(simulation,) j(we) e (ha) o(v) o(e) h(no) f(information) h(on) 1967 3054 y(the) d(traf) n (\002c) f(intensity) i(of) f(each) h(link.) 38 b(Hence,) 26 b(the) e(initial) f(partition) i(is) e(de-) 1967 3176 y(termined) e(by) f(assuming) i(that) e(all) g(edges) h(ha) o(v) o(e) g (the) f(same) h(traf) n(\002c) e(intensity) -5 b(.) 1967 3298 y(Namely) g(,) 19 b(weight) p Fl 19 w(w) p Fk 2 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 19 w(of) 19 b(edge) p Fk 20 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 20 w(is) 18 b(de\002ned) i(simply) f(as) p Fl 2039 3486 a(w) p Fk 2 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) 34 b(=) 2490 3438 y(1) p 2388 3469 243 4 v Fl 2388 3537 a(\034) p Fk 9 w(\() p Fl(i;) 12 b(j) p Fk 4 w(\)) p Fh 2585 3515 a(\013) p Fl 2640 3486 a(;) p Fo 1160 w(\(1\)) 1967 3694 y(where) p Fl 28 w(\034) p Fk 9 w(\() p Fl(i;) g(j) p Fk 4 w(\)) p Fo 28 w(is) 28 b(the) f(propa) r(gation) g(delay) i(of) e (a) h(link) g(correspond) r(ing) g(to) 1967 3816 y(edge) p Fk 18 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo(,) 18 b(and) p Fl 18 w(\013) p Fk(\() p Fl(>) p Fk 21 w(0\)) p Fo 17 w(is) f(a) h(control) f(parameter) h(determining) g(sensiti) n (v-) 1967 3938 y(ity) g(of) h(the) g(link) g(propag) r(ation) f(delay) i (on) f(a) g(netw) o(ork) h(model) f(partition.) 2039 4059 y(A) f(graph) i(partition) f(algorithm) g([14]) g(is) g(applied) g (to) p Fl 19 w(G) p Fo(,) g(which) g(results) g(in) p Fl 1967 4181 a(N) p Fo 31 w(sub-grap) r(hs) p Fl 23 w(G) p Ff 2470 4189 a(1) p Fl 2505 4181 a(;) 13 b(:) g(:) g(:) g(;) h(G) p Fh 2736 4189 a(N) p Fo 2793 4181 a(.) 36 b(These) p Fl 24 w(N) p Fo 32 w(sub-netw) o(ork) 24 b(models) g(are) g(as-) 1967 4303 y(signed) f(to) p Fl 22 w(N) p Fo 31 w(computing) g(resources,) h (and) f(parallel) f(netw) o(ork) h(simulation) 1967 4424 y(is) g(performed.) 37 b(At) 23 b(the) g(end) h(of) f(simulation,) h (se) n(v) o(eral) g(results) f(such) h(as) f(the) 1967 4546 y(total) k(simulation) g(time) p Fl 27 w(T) p Ff 2674 4554 a(1) p Fo 2708 4546 a(,) i(CPU) e(usage) h(of) f(each) h (computing) h(resource) p Fl 1967 4668 a(P) p Ff 2016 4676 a(1) p Fk 2050 4668 a(\() p Fl(n) p Fk(\)) p Fo(,) 19 b(and) g(traf) n(\002c) g(intensity) g(of) g(each) g(link) p Fl 19 w(l) p Ff 3186 4676 a(1) p Fk 3221 4668 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 19 w(are) 19 b(obtained.) p Fg 2013 4789 a<214a>p Fo 2097 4789 a(2) p Fg 2147 4789 a<214b>p Fn 2254 4789 a(Mak) o(e) g(second) g(partition) g(based) g(on) f(measur) m(e) r(d) g(tr) o(af) o(\002c) g(intensity) p Fo 2039 4911 a(Since) 23 b(we) h(no) n(w) h(ha) o(v) o(e) f(se) n(v) o (eral) g(statistics) g(of) g(the) g(\002rst) f(parallel) h(simula-) 1967 5033 y(tion) c(such) g(as) g(the) g(total) g(simulation) g(time,) f (the) h(CPU) f(usage) i(of) f(computing) 1967 5155 y(resources,) 31 b(and) e(the) g(traf) n(\002c) f(intensity) g(of) h(each) g(link,) i(a) d(better) h(partition) 1967 5276 y(than) 19 b(the) g(initial) f(one) i (can) f(be) g(determined) r(.) 2039 5398 y(It) j(is) g(kno) n(wn) i (that) f(the) g(communication) h(o) o(v) o(erhead) g(among) g (computing) 1967 5520 y(resources) c(is) e(almost) h(proportiona) r(l) f (to) h(the) g(number) h(of) f(simulation) g(e) n(v) o(ents) 1967 5641 y(e) o(xchang) r(ed) e(between) h(computing) g(resources.) 23 b(In) 17 b(a) g(pack) o(e) r(t-le) n(v) o(el) g(netw) o(ork) 1967 5763 y(simulation,) 27 b(almost) f(all) f(simulation) h(e) n(v) o(ents) g(are) g(re) o(garding) h(pack) o(et) f(pro-) 3755 6030 y(\227) 18 b(3) h(\227) p dyy eop end %%Page: 4 4 TeXDict begin 4 3 bop Fo -189 -131 a(cessing.) 59 b(Hence,) 34 b(the) c(commu) r(nication) h(o) o(v) o(erhead) h(among) f(compu) r (ting) -189 -9 y(resources) 26 b(shou) r(ld) f(be) h(almost) g (proportional) g(to) g(the) f(numb) r(er) g(of) h(pack) o(ets) -189 113 y(e) o(xchan) r(ged) 19 b(between) h(nodes) g(in) f(dif) n(ferent) g (partitions.) -117 234 y(The) 27 b(second) h(partition) f(is) f (therefore) i(determined) g(by) f(taking) h(account) -189 356 y(of) 21 b(the) g(traf) n(\002c) g(intensity) p Fl 21 w(l) p Ff 505 364 a(1) p Fk 540 356 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo(.) 30 b(More) 22 b(speci\002cally) -5 b(,) 22 b(weight) p Fl 21 w(w) p Fk 2 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 22 w(of) -189 478 y(edge) p Fk 20 w(\() p Fl(i;) g(j) p Fk 4 w(\)) p Fo 19 w(is) 19 b(rede\002ned) g(as) p Fl -117 659 a(w) p Fk 2 w(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) 34 b(=) p Fl 246 610 a(l) p Ff 269 618 a(1) p Fk 304 610 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p 232 641 243 4 v Fl 232 709 a(\034) p Fk 9 w(\() p Fl(i;) g(j) p Fk 4 w(\)) p Fh 430 688 a(\013) p Fl 484 659 a(:) p Fo 1160 w(\(2\)) -117 821 y(Similar) g(to) i(the) g (pre) n(vious) g(step,) h(a) e(graph) i(partition) e(algorithm) h([14]) g(is) g(ap-) -189 943 y(plied) 23 b(to) p Fl 22 w(G) p Fo 23 w(with) f(rede\002ned) h(edge) h(weights,) f(resulting) g(in) p Fl 22 w(N) p Fo 31 w(sub-grap) r(hs) p Fl -189 1064 a(G) p Ff -129 1072 a(1) p Fl -94 1064 a(;) 13 b(:) g(:) g(:) g(;) g(G) p Fh 136 1072 a(N) p Fo 194 1064 a(.) 39 b(These) p Fl 24 w(N) p Fo 32 w(sub-netw) o(o) r(rk) 24 b(models) g(are) g(again) h (assigned) g(to) p Fl -189 1186 a(N) p Fo 36 w(computing) k(resources,) i(and) d(the) g(second) h(parallel) f(netw) o(ork) h(simula-) -189 1308 y(tion) 23 b(is) g(performed.) 36 b(At) 23 b(the) g(end) h(of) f (simulation,) h(se) n(v) o(eral) g(statistics) e(such) -189 1429 y(as) c(the) g(total) g(simulation) g(time) p Fl 18 w(T) p Ff 680 1437 a(2) p Fo 714 1429 a(,) g(CPU) f(usage) i(of) f (a) g(computing) h(resource) p Fl -189 1551 a(P) p Ff -140 1559 a(2) p Fk -105 1551 a(\() p Fl(n) p Fk(\)) p Fo(,) f(and) i(the) f(traf) n(\002c) f(intensity) h(of) g(each) g(link) p Fl 19 w(l) p Ff 1140 1559 a(2) p Fk 1175 1551 a(\() p Fl(i;) 13 b(j) p Fk 4 w(\)) p Fo 19 w(are) 19 b(obtained) r(.) p Fg -143 1673 a<214a>p Fo -59 1673 a(3) p Fg -9 1673 a<214b>p Fn 99 1673 a(Impr) m(o) o(ve) g(partition) g(using) h(measur) m(ed) g(CPU) f(usa) o(g) o(e) p Fo -117 1794 a(In) 34 b(subsequ) r(ent) g(parallel) g (simulations,) k(a) c(netw) o(ork) h(model) g(partition) p Fl -189 1916 a(G) p Ff -129 1924 a(1) p Fl -94 1916 a(;) 13 b(:) g(:) g(:) g(;) g(G) p Fh 136 1924 a(N) p Fo 221 1916 a(is) 26 b(gradually) i(impro) o(v) o(ed) f(based) h(on) f(the) g (measured) g(statis-) -189 2038 y(tics) c(of) g(past) h(simulations.) 36 b(Namely) -5 b(,) 25 b(in) e(the) p Fl 23 w(k) p Fo 2 w(-th) g(parallel) g(simulation,) i(a) -189 2159 y(netw) o(ork) 18 b(model) g(partition) f(is) g(determined) h(by) g(modifying) g(the) g (partition) f(in) -189 2281 y(the) p Fk 19 w(\() p Fl(k) p Fj 19 w(\000) p Fk 17 w(1\)) p Fo(-th) i(parallel) g(simulation.) -117 2403 y(The) k(idea) g(for) g(impro) o(ving) i(the) e(pre) n(vious) h (partition) f(is) g(to) g(mo) o(v) o(e) h(a) f(node) -189 2524 y(from) h(a) 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l 2172 12380 l 2159 12378 l 2147 12377 l 2135 12376 l 2123 12374 l 2111 12373 l 2099 12372 l 2086 12370 l 2073 12369 l 2060 12368 l 2046 12366 l 2033 12365 l 2021 12364 l 2009 12363 l 1998 12362 l 1987 12361 l 1974 12360 l 1960 12359 l 1945 12357 l 1928 12356 l 1909 12355 l 1889 12353 l 1870 12352 l 1857 12351 l 1851 12350 l 1850 12350 l gs col0 s gr % 1 -> 2 % Polyline n 3233 12516 m 3234 12516 l 3237 12517 l 3245 12518 l 3259 12520 l 3277 12523 l 3298 12526 l 3319 12529 l 3339 12532 l 3358 12535 l 3375 12537 l 3391 12540 l 3405 12542 l 3419 12544 l 3433 12546 l 3447 12548 l 3461 12550 l 3476 12552 l 3491 12555 l 3507 12557 l 3524 12560 l 3541 12562 l 3558 12565 l 3575 12567 l 3592 12570 l 3608 12572 l 3624 12575 l 3639 12577 l 3655 12580 l 3670 12582 l 3685 12584 l 3702 12587 l 3718 12589 l 3736 12592 l 3754 12595 l 3772 12598 l 3790 12600 l 3808 12603 l 3826 12606 l 3843 12609 l 3859 12611 l 3875 12614 l 3891 12616 l 3907 12618 l 3923 12621 l 3939 12623 l 3956 12626 l 3974 12629 l 3992 12632 l 4010 12634 l 4028 12637 l 4046 12640 l 4064 12643 l 4081 12645 l 4097 12648 l 4112 12650 l 4128 12653 l 4143 12655 l 4158 12657 l 4174 12660 l 4191 12662 l 4207 12665 l 4224 12667 l 4241 12670 l 4259 12672 l 4275 12675 l 4291 12677 l 4307 12680 l 4322 12682 l 4336 12684 l 4350 12686 l 4364 12688 l 4378 12690 l 4392 12692 l 4408 12695 l 4425 12697 l 4444 12700 l 4464 12703 l 4485 12706 l 4506 12709 l 4524 12712 l 4538 12714 l 4546 12715 l 4549 12716 l 4550 12716 l gs col0 s gr % 1 -> 8 % Polyline n 3150 12650 m 3151 12650 l 3154 12654 l 3161 12661 l 3173 12671 l 3187 12685 l 3202 12699 l 3216 12712 l 3229 12724 l 3241 12735 l 3251 12745 l 3261 12755 l 3271 12764 l 3280 12773 l 3290 12782 l 3301 12792 l 3312 12803 l 3323 12814 l 3335 12825 l 3347 12836 l 3359 12848 l 3370 12859 l 3381 12869 l 3392 12880 l 3402 12890 l 3413 12900 l 3423 12910 l 3435 12921 l 3447 12933 l 3459 12945 l 3471 12957 l 3484 12969 l 3496 12981 l 3508 12992 l 3519 13004 l 3530 13014 l 3541 13025 l 3552 13035 l 3563 13046 l 3575 13057 l 3587 13069 l 3599 13081 l 3611 13093 l 3624 13105 l 3636 13117 l 3648 13128 l 3659 13139 l 3670 13149 l 3681 13160 l 3691 13170 l 3702 13180 l 3713 13190 l 3724 13201 l 3736 13213 l 3748 13224 l 3760 13235 l 3771 13246 l 3782 13257 l 3793 13267 l 3803 13276 l 3813 13286 l 3822 13295 l 3832 13304 l 3842 13314 l 3854 13325 l 3867 13337 l 3881 13351 l 3896 13365 l 3910 13378 l 3922 13389 l 3929 13396 l 3932 13399 l 3933 13400 l gs col0 s gr % 1 -> 16 % Polyline n 2950 12250 m 2950 12249 l 2949 12245 l 2948 12234 l 2946 12218 l 2944 12198 l 2941 12177 l 2939 12156 l 2937 12138 l 2935 12122 l 2933 12107 l 2931 12093 l 2930 12079 l 2928 12065 l 2926 12051 l 2925 12036 l 2923 12020 l 2921 12004 l 2919 11987 l 2917 11970 l 2915 11954 l 2913 11937 l 2911 11921 l 2909 11906 l 2908 11891 l 2906 11878 l 2904 11865 l 2903 11851 l 2901 11837 l 2899 11822 l 2897 11807 l 2895 11792 l 2894 11776 l 2892 11761 l 2890 11746 l 2888 11732 l 2886 11718 l 2885 11704 l 2883 11691 l 2881 11678 l 2880 11664 l 2878 11650 l 2876 11636 l 2874 11621 l 2872 11606 l 2871 11590 l 2869 11575 l 2867 11560 l 2865 11545 l 2863 11531 l 2862 11517 l 2860 11504 l 2858 11491 l 2856 11476 l 2855 11461 l 2853 11445 l 2851 11428 l 2849 11412 l 2847 11395 l 2845 11378 l 2843 11362 l 2841 11346 l 2839 11331 l 2837 11317 l 2836 11303 l 2834 11289 l 2832 11276 l 2831 11261 l 2829 11244 l 2827 11226 l 2824 11206 l 2822 11185 l 2820 11165 l 2818 11149 l 2817 11138 l 2816 11134 l 2816 11133 l gs col0 s gr % 1 -> 11 % Polyline n 2750 12583 m 2749 12583 l 2746 12585 l 2737 12588 l 2724 12594 l 2707 12601 l 2690 12608 l 2673 12614 l 2658 12621 l 2645 12626 l 2633 12631 l 2621 12636 l 2610 12641 l 2599 12645 l 2588 12650 l 2575 12655 l 2563 12661 l 2549 12667 l 2536 12672 l 2522 12678 l 2509 12684 l 2496 12690 l 2483 12695 l 2470 12701 l 2458 12706 l 2446 12711 l 2434 12717 l 2421 12723 l 2407 12729 l 2393 12735 l 2378 12741 l 2364 12748 l 2349 12754 l 2336 12760 l 2322 12766 l 2309 12772 l 2297 12777 l 2284 12783 l 2271 12788 l 2258 12794 l 2244 12801 l 2230 12807 l 2215 12813 l 2201 12820 l 2186 12826 l 2172 12832 l 2159 12838 l 2147 12844 l 2134 12850 l 2122 12855 l 2109 12861 l 2096 12866 l 2083 12872 l 2069 12879 l 2055 12885 l 2041 12891 l 2027 12897 l 2014 12903 l 2002 12908 l 1990 12914 l 1978 12919 l 1967 12924 l 1955 12929 l 1943 12935 l 1929 12941 l 1913 12948 l 1896 12955 l 1878 12963 l 1861 12971 l 1847 12977 l 1838 12981 l 1834 12983 l 1833 12983 l gs col0 s gr % 17 -> 18 % Polyline 7.500 slw [15 45] 45 sd n 3183 13433 m 3183 13432 l 3186 13429 l 3191 13422 l 3199 13410 l 3208 13396 l 3219 13382 l 3228 13367 l 3237 13355 l 3245 13343 l 3252 13333 l 3259 13323 l 3266 13314 l 3273 13304 l 3279 13294 l 3287 13284 l 3294 13273 l 3302 13262 l 3310 13250 l 3319 13238 l 3327 13227 l 3335 13215 l 3342 13204 l 3350 13194 l 3357 13184 l 3364 13173 l 3372 13162 l 3380 13151 l 3388 13139 l 3396 13127 l 3405 13115 l 3414 13102 l 3423 13090 l 3431 13078 l 3439 13067 l 3447 13055 l 3454 13045 l 3462 13034 l 3470 13023 l 3478 13011 l 3486 12999 l 3495 12987 l 3504 12974 l 3513 12961 l 3522 12949 l 3530 12937 l 3538 12925 l 3546 12914 l 3554 12904 l 3562 12893 l 3570 12882 l 3578 12870 l 3586 12858 l 3595 12846 l 3604 12834 l 3613 12821 l 3622 12809 l 3630 12798 l 3638 12786 l 3646 12776 l 3653 12765 l 3661 12755 l 3669 12744 l 3677 12733 l 3686 12720 l 3697 12706 l 3708 12690 l 3720 12674 l 3732 12658 l 3741 12645 l 3747 12637 l 3750 12634 l 3750 12633 l gs col0 s gr [] 0 sd % 17 -> 8 % Polyline 30.000 slw n 3333 13616 m 3334 13616 l 3341 13615 l 3355 13614 l 3371 13613 l 3386 13612 l 3398 13611 l 3409 13610 l 3420 13609 l 3430 13609 l 3440 13608 l 3452 13607 l 3464 13607 l 3475 13606 l 3487 13605 l 3498 13605 l 3508 13604 l 3518 13604 l 3529 13603 l 3541 13603 l 3553 13602 l 3564 13601 l 3576 13601 l 3587 13600 l 3597 13600 l 3607 13599 l 3618 13599 l 3630 13598 l 3641 13597 l 3653 13597 l 3665 13596 l 3675 13596 l 3685 13595 l 3695 13594 l 3706 13594 l 3717 13593 l 3728 13592 l 3740 13592 l 3750 13591 l 3760 13590 l 3770 13590 l 3779 13589 l 3790 13588 l 3801 13587 l 3815 13586 l 3830 13585 l 3842 13584 l 3849 13583 l 3850 13583 l gs col0 s gr % 14 -> 10 % Polyline n 6500 9683 m 6499 9682 l 6496 9678 l 6489 9670 l 6480 9658 l 6469 9644 l 6459 9632 l 6450 9621 l 6442 9611 l 6435 9602 l 6428 9594 l 6422 9585 l 6415 9576 l 6407 9567 l 6399 9557 l 6391 9547 l 6383 9537 l 6375 9526 l 6368 9517 l 6361 9507 l 6354 9499 l 6347 9489 l 6339 9480 l 6332 9470 l 6324 9460 l 6315 9449 l 6307 9439 l 6299 9428 l 6292 9419 l 6284 9409 l 6277 9400 l 6270 9391 l 6263 9381 l 6255 9371 l 6247 9361 l 6239 9350 l 6231 9339 l 6223 9329 l 6216 9319 l 6209 9310 l 6202 9301 l 6195 9292 l 6188 9282 l 6181 9273 l 6173 9263 l 6166 9252 l 6158 9242 l 6151 9232 l 6144 9223 l 6137 9214 l 6131 9205 l 6125 9197 l 6119 9188 l 6111 9178 l 6103 9167 l 6094 9155 l 6084 9141 l 6076 9129 l 6069 9121 l 6066 9117 l 6066 9116 l gs col0 s gr % 3 -> 7 % Polyline n 5216 14650 m 5216 14651 l 5217 14655 l 5220 14665 l 5223 14680 l 5228 14699 l 5233 14719 l 5237 14738 l 5242 14755 l 5245 14770 l 5249 14784 l 5252 14797 l 5255 14810 l 5259 14823 l 5262 14836 l 5266 14850 l 5269 14865 l 5273 14881 l 5277 14896 l 5281 14912 l 5285 14928 l 5289 14944 l 5293 14958 l 5297 14973 l 5301 14987 l 5304 14999 l 5307 15012 l 5310 15025 l 5314 15038 l 5318 15052 l 5321 15067 l 5325 15081 l 5329 15096 l 5333 15110 l 5336 15125 l 5340 15138 l 5343 15152 l 5347 15164 l 5350 15177 l 5353 15190 l 5356 15202 l 5360 15216 l 5363 15230 l 5367 15244 l 5371 15258 l 5374 15273 l 5378 15287 l 5382 15302 l 5385 15316 l 5389 15330 l 5392 15343 l 5395 15355 l 5399 15368 l 5402 15382 l 5406 15397 l 5410 15412 l 5414 15428 l 5418 15444 l 5422 15460 l 5426 15477 l 5430 15492 l 5433 15508 l 5437 15522 l 5440 15536 l 5444 15550 l 5447 15563 l 5450 15576 l 5454 15591 l 5457 15607 l 5462 15625 l 5466 15644 l 5471 15665 l 5476 15684 l 5479 15700 l 5482 15711 l 5483 15715 l 5483 15716 l gs col0 s gr % 8 -> 9 % Polyline n 4350 13583 m 4351 13583 l 4355 13583 l 4364 13583 l 4378 13583 l 4395 13583 l 4413 13583 l 4431 13584 l 4446 13584 l 4461 13584 l 4473 13584 l 4485 13584 l 4497 13584 l 4509 13584 l 4521 13585 l 4534 13585 l 4547 13585 l 4561 13585 l 4575 13586 l 4589 13586 l 4604 13586 l 4617 13586 l 4631 13587 l 4644 13587 l 4657 13587 l 4669 13587 l 4682 13588 l 4696 13588 l 4710 13588 l 4725 13589 l 4740 13589 l 4755 13589 l 4770 13590 l 4785 13590 l 4798 13590 l 4812 13591 l 4825 13591 l 4838 13591 l 4851 13592 l 4865 13592 l 4879 13592 l 4894 13593 l 4909 13593 l 4924 13593 l 4939 13594 l 4953 13594 l 4967 13594 l 4980 13595 l 4993 13595 l 5005 13595 l 5018 13595 l 5032 13596 l 5045 13596 l 5060 13596 l 5074 13596 l 5088 13597 l 5102 13597 l 5116 13597 l 5128 13597 l 5141 13598 l 5152 13598 l 5164 13598 l 5176 13598 l 5189 13598 l 5203 13599 l 5219 13599 l 5236 13599 l 5255 13599 l 5272 13600 l 5286 13600 l 5295 13600 l 5299 13600 l 5300 13600 l gs col0 s gr % 13 -> 14 % Polyline 7.500 slw [15 45] 45 sd n 6033 11233 m 6033 11232 l 6035 11229 l 6039 11220 l 6045 11206 l 6053 11190 l 6061 11172 l 6068 11156 l 6075 11140 l 6081 11127 l 6087 11115 l 6092 11103 l 6098 11092 l 6103 11080 l 6108 11068 l 6114 11056 l 6120 11043 l 6126 11029 l 6132 11015 l 6139 11001 l 6145 10987 l 6151 10973 l 6157 10960 l 6163 10947 l 6169 10935 l 6175 10922 l 6180 10909 l 6187 10895 l 6193 10881 l 6200 10866 l 6207 10851 l 6214 10836 l 6220 10821 l 6227 10806 l 6233 10792 l 6239 10778 l 6246 10765 l 6252 10752 l 6258 10738 l 6264 10724 l 6271 10709 l 6278 10694 l 6285 10678 l 6292 10662 l 6299 10647 l 6306 10632 l 6313 10617 l 6319 10604 l 6325 10590 l 6331 10577 l 6338 10563 l 6344 10549 l 6351 10534 l 6358 10518 l 6365 10503 l 6373 10487 l 6380 10472 l 6386 10457 l 6393 10443 l 6399 10430 l 6405 10417 l 6411 10404 l 6418 10390 l 6424 10376 l 6432 10360 l 6440 10342 l 6449 10322 l 6459 10301 l 6468 10282 l 6476 10266 l 6481 10255 l 6483 10251 l 6483 10250 l gs col0 s gr [] 0 sd % 15 -> 16 % Polyline [15 45] 45 sd n 3433 9783 m 3433 9784 l 3430 9789 l 3423 9799 l 3415 9814 l 3405 9831 l 3396 9847 l 3388 9860 l 3380 9873 l 3374 9884 l 3368 9894 l 3362 9905 l 3355 9916 l 3348 9928 l 3341 9941 l 3333 9954 l 3326 9967 l 3318 9980 l 3311 9993 l 3304 10005 l 3297 10017 l 3291 10026 l 3285 10036 l 3279 10047 l 3272 10058 l 3266 10070 l 3259 10081 l 3252 10093 l 3245 10105 l 3238 10116 l 3232 10127 l 3226 10138 l 3220 10148 l 3214 10158 l 3207 10169 l 3201 10180 l 3194 10191 l 3187 10203 l 3180 10216 l 3173 10228 l 3166 10240 l 3159 10251 l 3152 10263 l 3146 10273 l 3140 10284 l 3134 10294 l 3128 10305 l 3121 10316 l 3114 10328 l 3107 10340 l 3100 10352 l 3093 10364 l 3086 10376 l 3079 10387 l 3073 10398 l 3067 10409 l 3061 10419 l 3054 10429 l 3048 10440 l 3042 10451 l 3034 10464 l 3026 10478 l 3017 10493 l 3007 10509 l 2998 10525 l 2990 10538 l 2985 10546 l 2983 10549 l 2983 10550 l gs col0 s gr [] 0 sd % 15 -> 6 % Polyline 30.000 slw n 3833 9633 m 3834 9633 l 3840 9634 l 3853 9637 l 3871 9640 l 3891 9644 l 3910 9648 l 3926 9651 l 3941 9654 l 3954 9657 l 3967 9659 l 3977 9661 l 3988 9664 l 4000 9666 l 4012 9668 l 4024 9671 l 4037 9673 l 4050 9676 l 4062 9678 l 4074 9680 l 4086 9683 l 4098 9685 l 4109 9687 l 4120 9689 l 4132 9692 l 4144 9694 l 4156 9696 l 4169 9699 l 4182 9702 l 4195 9704 l 4208 9707 l 4221 9709 l 4233 9711 l 4244 9714 l 4256 9716 l 4267 9718 l 4279 9721 l 4291 9723 l 4303 9725 l 4316 9728 l 4329 9730 l 4342 9733 l 4354 9736 l 4367 9738 l 4379 9740 l 4390 9743 l 4401 9745 l 4414 9747 l 4427 9750 l 4442 9753 l 4456 9756 l 4471 9759 l 4486 9762 l 4500 9765 l 4514 9768 l 4526 9770 l 4539 9773 l 4551 9775 l 4563 9778 l 4577 9781 l 4593 9784 l 4611 9788 l 4630 9792 l 4647 9796 l 4659 9799 l 4665 9800 l 4666 9800 l gs col0 s gr % 6 -> 10 % Polyline n 5083 9683 m 5084 9682 l 5088 9678 l 5098 9669 l 5112 9657 l 5126 9644 l 5141 9631 l 5153 9619 l 5164 9609 l 5174 9600 l 5184 9592 l 5192 9584 l 5200 9577 l 5209 9569 l 5218 9561 l 5228 9552 l 5237 9543 l 5247 9534 l 5257 9526 l 5266 9517 l 5276 9509 l 5284 9501 l 5293 9493 l 5302 9485 l 5311 9477 l 5320 9469 l 5330 9460 l 5340 9451 l 5350 9441 l 5360 9432 l 5371 9423 l 5380 9414 l 5390 9405 l 5399 9397 l 5408 9389 l 5417 9381 l 5426 9372 l 5436 9364 l 5445 9355 l 5456 9345 l 5466 9336 l 5476 9327 l 5486 9317 l 5496 9308 l 5505 9300 l 5514 9291 l 5523 9283 l 5532 9275 l 5540 9267 l 5550 9258 l 5559 9250 l 5569 9240 l 5579 9231 l 5588 9222 l 5598 9213 l 5607 9204 l 5616 9196 l 5624 9188 l 5632 9180 l 5642 9171 l 5652 9162 l 5663 9151 l 5675 9139 l 5690 9125 l 5704 9111 l 5718 9097 l 5728 9088 l 5732 9084 l 5733 9083 l gs col0 s gr % 20 -> 4 % Polyline n 6383 12066 m 6382 12066 l 6378 12064 l 6367 12060 l 6351 12053 l 6332 12045 l 6311 12037 l 6291 12029 l 6273 12022 l 6257 12015 l 6243 12009 l 6229 12004 l 6216 11998 l 6204 11993 l 6193 11989 l 6180 11983 l 6168 11978 l 6154 11973 l 6141 11967 l 6127 11961 l 6113 11955 l 6099 11949 l 6085 11944 l 6072 11938 l 6059 11932 l 6047 11927 l 6034 11922 l 6022 11917 l 6009 11911 l 5996 11905 l 5983 11900 l 5968 11893 l 5954 11887 l 5939 11881 l 5925 11874 l 5910 11868 l 5896 11862 l 5882 11856 l 5869 11850 l 5856 11844 l 5843 11839 l 5831 11833 l 5818 11828 l 5805 11822 l 5791 11816 l 5777 11809 l 5762 11803 l 5748 11797 l 5733 11790 l 5719 11784 l 5705 11777 l 5692 11771 l 5679 11766 l 5666 11760 l 5654 11755 l 5640 11748 l 5625 11742 l 5610 11735 l 5595 11728 l 5579 11721 l 5563 11713 l 5547 11706 l 5532 11699 l 5517 11692 l 5503 11686 l 5490 11680 l 5477 11674 l 5464 11668 l 5451 11662 l 5437 11655 l 5421 11648 l 5404 11640 l 5385 11632 l 5365 11623 l 5346 11614 l 5331 11607 l 5321 11602 l 5317 11600 l 5316 11600 l gs col0 s gr % 11 -> 12 % Polyline 7.500 slw [15 45] 45 sd n 1316 13016 m 1315 13016 l 1308 13014 l 1294 13011 l 1278 13008 l 1263 13004 l 1249 13001 l 1238 12999 l 1228 12996 l 1217 12994 l 1206 12991 l 1194 12988 l 1182 12985 l 1169 12982 l 1157 12979 l 1145 12976 l 1134 12973 l 1125 12971 l 1116 12969 l 1106 12966 l 1096 12963 l 1086 12960 l 1075 12958 l 1065 12955 l 1055 12952 l 1046 12949 l 1037 12947 l 1027 12945 l 1018 12942 l 1008 12939 l 997 12936 l 986 12933 l 976 12931 l 965 12928 l 955 12925 l 945 12922 l 936 12920 l 926 12917 l 917 12915 l 907 12912 l 896 12909 l 885 12906 l 874 12903 l 863 12900 l 853 12897 l 844 12895 l 834 12892 l 825 12890 l 815 12887 l 804 12884 l 791 12881 l 777 12877 l 762 12873 l 748 12870 l 738 12867 l 734 12866 l 733 12866 l gs col0 s gr [] 0 sd % 4 -> 6 % Polyline 30.000 slw n 5066 11266 m 5066 11265 l 5065 11260 l 5064 11249 l 5062 11232 l 5060 11210 l 5058 11188 l 5055 11167 l 5053 11147 l 5051 11130 l 5050 11114 l 5048 11099 l 5046 11085 l 5045 11072 l 5044 11059 l 5042 11045 l 5040 11031 l 5039 11017 l 5037 11002 l 5035 10986 l 5034 10971 l 5032 10955 l 5030 10940 l 5029 10925 l 5027 10911 l 5025 10897 l 5024 10883 l 5022 10869 l 5021 10855 l 5019 10840 l 5017 10825 l 5016 10809 l 5014 10793 l 5012 10776 l 5010 10760 l 5008 10743 l 5006 10727 l 5005 10712 l 5003 10697 l 5001 10683 l 5000 10668 l 4998 10654 l 4997 10640 l 4995 10625 l 4993 10609 l 4991 10593 l 4989 10577 l 4988 10561 l 4986 10545 l 4984 10528 l 4982 10513 l 4980 10498 l 4979 10483 l 4977 10469 l 4975 10456 l 4974 10442 l 4972 10428 l 4971 10414 l 4969 10399 l 4967 10384 l 4965 10369 l 4964 10354 l 4962 10339 l 4960 10324 l 4959 10310 l 4957 10296 l 4955 10283 l 4954 10270 l 4953 10258 l 4951 10244 l 4949 10230 l 4948 10214 l 4946 10197 l 4944 10179 l 4941 10158 l 4939 10136 l 4937 10116 l 4935 10099 l 4934 10088 l 4933 10084 l 4933 10083 l gs col0 s gr /Times-Roman ff 158.75 scf sf 300 12816 m gs 1 -1 sc (12) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1600 12366 m gs 1 -1 sc (5) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 15983 m gs 1 -1 sc (7) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3983 12350 m gs 1 -1 sc (18) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5100 11550 m gs 1 -1 sc (4) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4800 12800 m gs 1 -1 sc (2) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5150 14483 m gs 1 -1 sc (3) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5933 11500 m gs 1 -1 sc (13) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 13666 m gs 1 -1 sc (9) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 7050 13433 m gs 1 -1 sc (19) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6633 12233 m gs 1 -1 sc (20) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2983 12533 m gs 1 -1 sc (1) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4100 13616 m gs 1 -1 sc (8) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2783 10950 m gs 1 -1 sc (16) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1583 13133 m gs 1 -1 sc (11) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3050 13683 m gs 1 -1 sc (17) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6650 9933 m gs 1 -1 sc (14) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5916 8966 m gs 1 -1 sc (10) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3550 9633 m gs 1 -1 sc (15) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4916 9900 m gs 1 -1 sc (6) dup sw pop 2 div neg 0 rm col0 sh gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial Fi 1967 2049 a(Fig.) 22 b(2) 64 b(Init) r(ial) 23 b(parti) r(tion) g(is) g(deter) r(mined) g(by) f(assuming) i(that) f (all) h(edges) f(ha) o(v) o(e) h(the) 2186 2156 y(same) g(traf) n (\002c) i(intensi) r(ty) l(.) 42 b(Dark-gray) 25 b(node) r(s) e(are) i (in) p Fd 24 w(G) p Ff 3520 2165 a(1) p Fi 3555 2156 a(,) g(and) g(light) r(-gray) 2186 2263 y(nodes) 17 b(are) h(in) p Fd 17 w(G) p Ff 2578 2272 a(2) p Fi 2613 2263 a(.) i(Gray) d(lin) r(es) f(repre) r(sent) h(crossin) r(g) f(lin) r(ks.) p Fo 1967 2529 a(20) 22 b(node) r(s) f(and) i(5) f(\003o) n(ws.) 33 b(In) 22 b(the) g(\002gure,) g(circles,) h(thick) f(lines,) g(and) h (dotted) 1967 2650 y(lines) 28 b(with) g(arro) n(w) h(heads) h (represent) f(nodes,) j(links,) e(and) g(\003o) n(ws,) g(respec-) 1967 2772 y(ti) n(v) o(ely) -5 b(.) p Fg 2013 2894 a<214a>p Fo 2097 2894 a(1) p Fg 2147 2894 a<214b>p Fn 2254 2894 a(Mak) o(e) 20 b(initial) e(partition) p Fo 2039 3016 a(The) e(initial) f(partition) h (is) f(determined) i(by) g(assuming) g(that) f(all) f(edges) i(ha) o(v) o(e) 1967 3137 y(the) 23 b(same) h(traf) n(\002c) f(intensity) -5 b(.) 37 b(By) 24 b(applying) h(a) e(graph) i(partition) e(algorithm) 1967 3259 y(in) c([14],) f(tw) o(o) h(sub-ne) r(tw) o(ork) g(models,) p Fl 19 w(G) p Ff 3040 3267 a(1) p Fo 3094 3259 a(and) p Fl 19 w(G) p Ff 3280 3267 a(2) p Fo 3315 3259 a(,) f(are) h(obtained.) 2039 3381 y(Figure) i(2) g(sho) n(ws) h(the) f(initial) f(partition) h (with) p Fl 21 w(N) p Fk 34 w(=) k(2) p Fo(.) 30 b(In) 21 b(Fig.) g(2,) g(dark-) 1967 3502 y(gray) 26 b(node) r(s) g(represent) g (node) r(s) f(in) p Fl 26 w(G) p Ff 2969 3510 a(1) p Fo 3004 3502 a(,) i(and) g(light-gray) g(nodes) g(represent) 1967 3624 y(nodes) 18 b(in) p Fl 18 w(G) p Ff 2294 3632 a(2) p Fo 2328 3624 a(.) 23 b(Gray) 17 b(lines) h(represent) g(crossing) g (links) g(\(i.e.,) e(links) i(between) 1967 3746 y(tw) o(o) h(sub-netw) o(ork) h(models) g(of) p Fl 19 w(G) p Ff 2864 3754 a(1) p Fo 2917 3746 a(and) p Fl 20 w(G) p Ff 3104 3754 a(2) p Fo 3138 3746 a(\).) 2039 3867 y(T) -6 b(w) o(o) 21 b(sub-netw) o(o) r (rk) g(models,) p Fl 23 w(G) p Ff 2901 3875 a(1) p Fo 2957 3867 a(and) p Fl 22 w(G) p Ff 3146 3875 a(2) p Fo 3181 3867 a(,) h(are) f(assigned) i(to) e(tw) o(o) h(com-) 1967 3989 y(puting) 16 b(resources) r(,) f(parallel) h(netw) o(ork) h (simulation) f(is) f(performed) r(,) h(and) g(se) n(v-) 1967 4111 y(eral) i(statistics) h(are) f(measured) r(.) p Fg 2013 4232 a<214a>p Fo 2097 4232 a(2) p Fg 2147 4232 a<214b>p Fn 2254 4232 a(Mak) o(e) h(second) g(partition) g(based) g(on) f(measur) m(e) r(d) g(tr) o(af) o(\002c) g(intensity) p Fo 2039 4354 a(The) i(second) i(partition) e(is) g(determined) h(by) g (taking) g(account) g(of) g(the) f(traf-) 1967 4476 y(\002c) 26 b(intensity) h(measured) h(in) e(the) h(\002rst) f(simulation.) 47 b(Figure) 26 b(3) h(sho) n(ws) g(the) 1967 4597 y(result) d(of) g(the) h (second) h(partition.) 39 b(In) 25 b(this) f(\002gure,) h(the) g (number) g(sho) n(wn) h(at) 1967 4719 y(each) 17 b(edge) h(represents) f (the) g(traf) n(\002c) f(intensity) h(\(i.e.,) f(the) h(number) h(of) e (pack) o(e) r(ts) 1967 4841 y(transmitted\)) 23 b(of) g(the) g (correspond) r(ing) g(link.) 35 b(W) m(ith) 23 b(edge) h(weights) f (de\002ned) 1967 4963 y(by) 28 b(Eq.) g(\(2\),) i(a) e(graph) i (partition) e(algorithm) 56 b([14]) 29 b(is) f(applied) h(to) p Fl 28 w(G) p Fo(,) h(re-) 1967 5084 y(sulting) 24 b(in) h(tw) o(o) f (sub-ne) r(tw) o(ork) g(models) p Fl 25 w(G) p Ff 3109 5092 a(1) p Fo 3168 5084 a(and) p Fl 25 w(G) p Ff 3360 5092 a(2) p Fo 3395 5084 a(.) 40 b(Similar) 23 b(to) h(Fig.) g(2,) 1967 5206 y(a) d(netw) o(ork) i(model) f(partition) g(is) f(represented) i (by) f(the) g(color) g(of) g(nodes) h(and) 1967 5328 y(links.) 2039 5449 y(In) 18 b(the) h(second) h(partition,) e(the) h (netw) o(ork) g(model) g(is) g(split) f(at) g(edges) h(\(1,) g(2\),) 1967 5571 y(\(2,) 25 b(9\),) h(and) f(\(6,) h(10\)) f(since) g(these) g (edges) h(ha) o(v) o(e) e(relati) n(v) o(ely) h(small) f(weights) 1967 5693 y(\(i.e.,) 17 b(relati) n(v) o(ely) i(small) g(traf) n(\002c) f (intensity\).) 3755 6030 y(\227) g(4) h(\227) p dyy eop end %%Page: 5 5 TeXDict begin 5 4 bop -189 1919 a @beginspecial 0 @llx 0 @lly 460 @urx 471 @ury 2450 @rwi @setspecial %%BeginDocument: figure/10-2-1-1-100-0.5-3.eps %!PS-Adobe-2.0 EPSF-2.0 %%Title: 10-2-1-1-100-0.5-3.fig %%Creator: fig2dev Version 3.2 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6768 12555 l 6766 12551 l 6766 12550 l gs col0 s gr [] 0 sd % 1 -> 5 % Polyline 30.000 slw n 2733 12450 m 2732 12450 l 2726 12449 l 2713 12447 l 2694 12445 l 2674 12442 l 2654 12440 l 2637 12437 l 2622 12435 l 2609 12433 l 2596 12432 l 2585 12430 l 2573 12429 l 2561 12427 l 2549 12425 l 2536 12424 l 2522 12422 l 2509 12420 l 2496 12418 l 2483 12417 l 2471 12415 l 2459 12414 l 2447 12412 l 2435 12411 l 2423 12409 l 2410 12408 l 2397 12406 l 2383 12404 l 2369 12403 l 2355 12401 l 2342 12399 l 2328 12398 l 2315 12396 l 2303 12395 l 2291 12393 l 2279 12392 l 2267 12390 l 2254 12389 l 2240 12387 l 2227 12386 l 2213 12384 l 2199 12383 l 2185 12381 l 2172 12380 l 2159 12378 l 2147 12377 l 2135 12376 l 2123 12374 l 2111 12373 l 2099 12372 l 2086 12370 l 2073 12369 l 2060 12368 l 2046 12366 l 2033 12365 l 2021 12364 l 2009 12363 l 1998 12362 l 1987 12361 l 1974 12360 l 1960 12359 l 1945 12357 l 1928 12356 l 1909 12355 l 1889 12353 l 1870 12352 l 1857 12351 l 1851 12350 l 1850 12350 l gs col0 s gr % 1 -> 2 % Polyline n 3233 12516 m 3234 12516 l 3237 12517 l 3245 12518 l 3259 12520 l 3277 12523 l 3298 12526 l 3319 12529 l 3339 12532 l 3358 12535 l 3375 12537 l 3391 12540 l 3405 12542 l 3419 12544 l 3433 12546 l 3447 12548 l 3461 12550 l 3476 12552 l 3491 12555 l 3507 12557 l 3524 12560 l 3541 12562 l 3558 12565 l 3575 12567 l 3592 12570 l 3608 12572 l 3624 12575 l 3639 12577 l 3655 12580 l 3670 12582 l 3685 12584 l 3702 12587 l 3718 12589 l 3736 12592 l 3754 12595 l 3772 12598 l 3790 12600 l 3808 12603 l 3826 12606 l 3843 12609 l 3859 12611 l 3875 12614 l 3891 12616 l 3907 12618 l 3923 12621 l 3939 12623 l 3956 12626 l 3974 12629 l 3992 12632 l 4010 12634 l 4028 12637 l 4046 12640 l 4064 12643 l 4081 12645 l 4097 12648 l 4112 12650 l 4128 12653 l 4143 12655 l 4158 12657 l 4174 12660 l 4191 12662 l 4207 12665 l 4224 12667 l 4241 12670 l 4259 12672 l 4275 12675 l 4291 12677 l 4307 12680 l 4322 12682 l 4336 12684 l 4350 12686 l 4364 12688 l 4378 12690 l 4392 12692 l 4408 12695 l 4425 12697 l 4444 12700 l 4464 12703 l 4485 12706 l 4506 12709 l 4524 12712 l 4538 12714 l 4546 12715 l 4549 12716 l 4550 12716 l gs col35 s gr % 1 -> 8 % Polyline n 3150 12650 m 3151 12650 l 3154 12654 l 3161 12661 l 3173 12671 l 3187 12685 l 3202 12699 l 3216 12712 l 3229 12724 l 3241 12735 l 3251 12745 l 3261 12755 l 3271 12764 l 3280 12773 l 3290 12782 l 3301 12792 l 3312 12803 l 3323 12814 l 3335 12825 l 3347 12836 l 3359 12848 l 3370 12859 l 3381 12869 l 3392 12880 l 3402 12890 l 3413 12900 l 3423 12910 l 3435 12921 l 3447 12933 l 3459 12945 l 3471 12957 l 3484 12969 l 3496 12981 l 3508 12992 l 3519 13004 l 3530 13014 l 3541 13025 l 3552 13035 l 3563 13046 l 3575 13057 l 3587 13069 l 3599 13081 l 3611 13093 l 3624 13105 l 3636 13117 l 3648 13128 l 3659 13139 l 3670 13149 l 3681 13160 l 3691 13170 l 3702 13180 l 3713 13190 l 3724 13201 l 3736 13213 l 3748 13224 l 3760 13235 l 3771 13246 l 3782 13257 l 3793 13267 l 3803 13276 l 3813 13286 l 3822 13295 l 3832 13304 l 3842 13314 l 3854 13325 l 3867 13337 l 3881 13351 l 3896 13365 l 3910 13378 l 3922 13389 l 3929 13396 l 3932 13399 l 3933 13400 l gs col0 s gr % 1 -> 16 % Polyline n 2950 12250 m 2950 12249 l 2949 12245 l 2948 12234 l 2946 12218 l 2944 12198 l 2941 12177 l 2939 12156 l 2937 12138 l 2935 12122 l 2933 12107 l 2931 12093 l 2930 12079 l 2928 12065 l 2926 12051 l 2925 12036 l 2923 12020 l 2921 12004 l 2919 11987 l 2917 11970 l 2915 11954 l 2913 11937 l 2911 11921 l 2909 11906 l 2908 11891 l 2906 11878 l 2904 11865 l 2903 11851 l 2901 11837 l 2899 11822 l 2897 11807 l 2895 11792 l 2894 11776 l 2892 11761 l 2890 11746 l 2888 11732 l 2886 11718 l 2885 11704 l 2883 11691 l 2881 11678 l 2880 11664 l 2878 11650 l 2876 11636 l 2874 11621 l 2872 11606 l 2871 11590 l 2869 11575 l 2867 11560 l 2865 11545 l 2863 11531 l 2862 11517 l 2860 11504 l 2858 11491 l 2856 11476 l 2855 11461 l 2853 11445 l 2851 11428 l 2849 11412 l 2847 11395 l 2845 11378 l 2843 11362 l 2841 11346 l 2839 11331 l 2837 11317 l 2836 11303 l 2834 11289 l 2832 11276 l 2831 11261 l 2829 11244 l 2827 11226 l 2824 11206 l 2822 11185 l 2820 11165 l 2818 11149 l 2817 11138 l 2816 11134 l 2816 11133 l gs col0 s gr % 1 -> 11 % Polyline n 2750 12583 m 2749 12583 l 2746 12585 l 2737 12588 l 2724 12594 l 2707 12601 l 2690 12608 l 2673 12614 l 2658 12621 l 2645 12626 l 2633 12631 l 2621 12636 l 2610 12641 l 2599 12645 l 2588 12650 l 2575 12655 l 2563 12661 l 2549 12667 l 2536 12672 l 2522 12678 l 2509 12684 l 2496 12690 l 2483 12695 l 2470 12701 l 2458 12706 l 2446 12711 l 2434 12717 l 2421 12723 l 2407 12729 l 2393 12735 l 2378 12741 l 2364 12748 l 2349 12754 l 2336 12760 l 2322 12766 l 2309 12772 l 2297 12777 l 2284 12783 l 2271 12788 l 2258 12794 l 2244 12801 l 2230 12807 l 2215 12813 l 2201 12820 l 2186 12826 l 2172 12832 l 2159 12838 l 2147 12844 l 2134 12850 l 2122 12855 l 2109 12861 l 2096 12866 l 2083 12872 l 2069 12879 l 2055 12885 l 2041 12891 l 2027 12897 l 2014 12903 l 2002 12908 l 1990 12914 l 1978 12919 l 1967 12924 l 1955 12929 l 1943 12935 l 1929 12941 l 1913 12948 l 1896 12955 l 1878 12963 l 1861 12971 l 1847 12977 l 1838 12981 l 1834 12983 l 1833 12983 l gs col0 s gr % 17 -> 18 % Polyline 7.500 slw [15 45] 45 sd n 3183 13433 m 3183 13432 l 3186 13429 l 3191 13422 l 3199 13410 l 3208 13396 l 3219 13382 l 3228 13367 l 3237 13355 l 3245 13343 l 3252 13333 l 3259 13323 l 3266 13314 l 3273 13304 l 3279 13294 l 3287 13284 l 3294 13273 l 3302 13262 l 3310 13250 l 3319 13238 l 3327 13227 l 3335 13215 l 3342 13204 l 3350 13194 l 3357 13184 l 3364 13173 l 3372 13162 l 3380 13151 l 3388 13139 l 3396 13127 l 3405 13115 l 3414 13102 l 3423 13090 l 3431 13078 l 3439 13067 l 3447 13055 l 3454 13045 l 3462 13034 l 3470 13023 l 3478 13011 l 3486 12999 l 3495 12987 l 3504 12974 l 3513 12961 l 3522 12949 l 3530 12937 l 3538 12925 l 3546 12914 l 3554 12904 l 3562 12893 l 3570 12882 l 3578 12870 l 3586 12858 l 3595 12846 l 3604 12834 l 3613 12821 l 3622 12809 l 3630 12798 l 3638 12786 l 3646 12776 l 3653 12765 l 3661 12755 l 3669 12744 l 3677 12733 l 3686 12720 l 3697 12706 l 3708 12690 l 3720 12674 l 3732 12658 l 3741 12645 l 3747 12637 l 3750 12634 l 3750 12633 l gs col0 s gr [] 0 sd % 17 -> 8 % Polyline 30.000 slw n 3333 13616 m 3334 13616 l 3341 13615 l 3355 13614 l 3371 13613 l 3386 13612 l 3398 13611 l 3409 13610 l 3420 13609 l 3430 13609 l 3440 13608 l 3452 13607 l 3464 13607 l 3475 13606 l 3487 13605 l 3498 13605 l 3508 13604 l 3518 13604 l 3529 13603 l 3541 13603 l 3553 13602 l 3564 13601 l 3576 13601 l 3587 13600 l 3597 13600 l 3607 13599 l 3618 13599 l 3630 13598 l 3641 13597 l 3653 13597 l 3665 13596 l 3675 13596 l 3685 13595 l 3695 13594 l 3706 13594 l 3717 13593 l 3728 13592 l 3740 13592 l 3750 13591 l 3760 13590 l 3770 13590 l 3779 13589 l 3790 13588 l 3801 13587 l 3815 13586 l 3830 13585 l 3842 13584 l 3849 13583 l 3850 13583 l gs col0 s gr % 14 -> 10 % Polyline n 6500 9683 m 6499 9682 l 6496 9678 l 6489 9670 l 6480 9658 l 6469 9644 l 6459 9632 l 6450 9621 l 6442 9611 l 6435 9602 l 6428 9594 l 6422 9585 l 6415 9576 l 6407 9567 l 6399 9557 l 6391 9547 l 6383 9537 l 6375 9526 l 6368 9517 l 6361 9507 l 6354 9499 l 6347 9489 l 6339 9480 l 6332 9470 l 6324 9460 l 6315 9449 l 6307 9439 l 6299 9428 l 6292 9419 l 6284 9409 l 6277 9400 l 6270 9391 l 6263 9381 l 6255 9371 l 6247 9361 l 6239 9350 l 6231 9339 l 6223 9329 l 6216 9319 l 6209 9310 l 6202 9301 l 6195 9292 l 6188 9282 l 6181 9273 l 6173 9263 l 6166 9252 l 6158 9242 l 6151 9232 l 6144 9223 l 6137 9214 l 6131 9205 l 6125 9197 l 6119 9188 l 6111 9178 l 6103 9167 l 6094 9155 l 6084 9141 l 6076 9129 l 6069 9121 l 6066 9117 l 6066 9116 l gs col0 s gr % 3 -> 7 % Polyline n 5216 14650 m 5216 14651 l 5217 14655 l 5220 14665 l 5223 14680 l 5228 14699 l 5233 14719 l 5237 14738 l 5242 14755 l 5245 14770 l 5249 14784 l 5252 14797 l 5255 14810 l 5259 14823 l 5262 14836 l 5266 14850 l 5269 14865 l 5273 14881 l 5277 14896 l 5281 14912 l 5285 14928 l 5289 14944 l 5293 14958 l 5297 14973 l 5301 14987 l 5304 14999 l 5307 15012 l 5310 15025 l 5314 15038 l 5318 15052 l 5321 15067 l 5325 15081 l 5329 15096 l 5333 15110 l 5336 15125 l 5340 15138 l 5343 15152 l 5347 15164 l 5350 15177 l 5353 15190 l 5356 15202 l 5360 15216 l 5363 15230 l 5367 15244 l 5371 15258 l 5374 15273 l 5378 15287 l 5382 15302 l 5385 15316 l 5389 15330 l 5392 15343 l 5395 15355 l 5399 15368 l 5402 15382 l 5406 15397 l 5410 15412 l 5414 15428 l 5418 15444 l 5422 15460 l 5426 15477 l 5430 15492 l 5433 15508 l 5437 15522 l 5440 15536 l 5444 15550 l 5447 15563 l 5450 15576 l 5454 15591 l 5457 15607 l 5462 15625 l 5466 15644 l 5471 15665 l 5476 15684 l 5479 15700 l 5482 15711 l 5483 15715 l 5483 15716 l gs col0 s gr % 8 -> 9 % Polyline n 4350 13583 m 4351 13583 l 4355 13583 l 4364 13583 l 4378 13583 l 4395 13583 l 4413 13583 l 4431 13584 l 4446 13584 l 4461 13584 l 4473 13584 l 4485 13584 l 4497 13584 l 4509 13584 l 4521 13585 l 4534 13585 l 4547 13585 l 4561 13585 l 4575 13586 l 4589 13586 l 4604 13586 l 4617 13586 l 4631 13587 l 4644 13587 l 4657 13587 l 4669 13587 l 4682 13588 l 4696 13588 l 4710 13588 l 4725 13589 l 4740 13589 l 4755 13589 l 4770 13590 l 4785 13590 l 4798 13590 l 4812 13591 l 4825 13591 l 4838 13591 l 4851 13592 l 4865 13592 l 4879 13592 l 4894 13593 l 4909 13593 l 4924 13593 l 4939 13594 l 4953 13594 l 4967 13594 l 4980 13595 l 4993 13595 l 5005 13595 l 5018 13595 l 5032 13596 l 5045 13596 l 5060 13596 l 5074 13596 l 5088 13597 l 5102 13597 l 5116 13597 l 5128 13597 l 5141 13598 l 5152 13598 l 5164 13598 l 5176 13598 l 5189 13598 l 5203 13599 l 5219 13599 l 5236 13599 l 5255 13599 l 5272 13600 l 5286 13600 l 5295 13600 l 5299 13600 l 5300 13600 l gs col0 s gr % 13 -> 14 % Polyline 7.500 slw [15 45] 45 sd n 6033 11233 m 6033 11232 l 6035 11229 l 6039 11220 l 6045 11206 l 6053 11190 l 6061 11172 l 6068 11156 l 6075 11140 l 6081 11127 l 6087 11115 l 6092 11103 l 6098 11092 l 6103 11080 l 6108 11068 l 6114 11056 l 6120 11043 l 6126 11029 l 6132 11015 l 6139 11001 l 6145 10987 l 6151 10973 l 6157 10960 l 6163 10947 l 6169 10935 l 6175 10922 l 6180 10909 l 6187 10895 l 6193 10881 l 6200 10866 l 6207 10851 l 6214 10836 l 6220 10821 l 6227 10806 l 6233 10792 l 6239 10778 l 6246 10765 l 6252 10752 l 6258 10738 l 6264 10724 l 6271 10709 l 6278 10694 l 6285 10678 l 6292 10662 l 6299 10647 l 6306 10632 l 6313 10617 l 6319 10604 l 6325 10590 l 6331 10577 l 6338 10563 l 6344 10549 l 6351 10534 l 6358 10518 l 6365 10503 l 6373 10487 l 6380 10472 l 6386 10457 l 6393 10443 l 6399 10430 l 6405 10417 l 6411 10404 l 6418 10390 l 6424 10376 l 6432 10360 l 6440 10342 l 6449 10322 l 6459 10301 l 6468 10282 l 6476 10266 l 6481 10255 l 6483 10251 l 6483 10250 l gs col0 s gr [] 0 sd % 15 -> 16 % Polyline [15 45] 45 sd n 3433 9783 m 3433 9784 l 3430 9789 l 3423 9799 l 3415 9814 l 3405 9831 l 3396 9847 l 3388 9860 l 3380 9873 l 3374 9884 l 3368 9894 l 3362 9905 l 3355 9916 l 3348 9928 l 3341 9941 l 3333 9954 l 3326 9967 l 3318 9980 l 3311 9993 l 3304 10005 l 3297 10017 l 3291 10026 l 3285 10036 l 3279 10047 l 3272 10058 l 3266 10070 l 3259 10081 l 3252 10093 l 3245 10105 l 3238 10116 l 3232 10127 l 3226 10138 l 3220 10148 l 3214 10158 l 3207 10169 l 3201 10180 l 3194 10191 l 3187 10203 l 3180 10216 l 3173 10228 l 3166 10240 l 3159 10251 l 3152 10263 l 3146 10273 l 3140 10284 l 3134 10294 l 3128 10305 l 3121 10316 l 3114 10328 l 3107 10340 l 3100 10352 l 3093 10364 l 3086 10376 l 3079 10387 l 3073 10398 l 3067 10409 l 3061 10419 l 3054 10429 l 3048 10440 l 3042 10451 l 3034 10464 l 3026 10478 l 3017 10493 l 3007 10509 l 2998 10525 l 2990 10538 l 2985 10546 l 2983 10549 l 2983 10550 l gs col0 s gr [] 0 sd % 15 -> 6 % Polyline 30.000 slw n 3833 9633 m 3834 9633 l 3840 9634 l 3853 9637 l 3871 9640 l 3891 9644 l 3910 9648 l 3926 9651 l 3941 9654 l 3954 9657 l 3967 9659 l 3977 9661 l 3988 9664 l 4000 9666 l 4012 9668 l 4024 9671 l 4037 9673 l 4050 9676 l 4062 9678 l 4074 9680 l 4086 9683 l 4098 9685 l 4109 9687 l 4120 9689 l 4132 9692 l 4144 9694 l 4156 9696 l 4169 9699 l 4182 9702 l 4195 9704 l 4208 9707 l 4221 9709 l 4233 9711 l 4244 9714 l 4256 9716 l 4267 9718 l 4279 9721 l 4291 9723 l 4303 9725 l 4316 9728 l 4329 9730 l 4342 9733 l 4354 9736 l 4367 9738 l 4379 9740 l 4390 9743 l 4401 9745 l 4414 9747 l 4427 9750 l 4442 9753 l 4456 9756 l 4471 9759 l 4486 9762 l 4500 9765 l 4514 9768 l 4526 9770 l 4539 9773 l 4551 9775 l 4563 9778 l 4577 9781 l 4593 9784 l 4611 9788 l 4630 9792 l 4647 9796 l 4659 9799 l 4665 9800 l 4666 9800 l gs col0 s gr % 6 -> 10 % Polyline n 5083 9683 m 5084 9682 l 5088 9678 l 5098 9669 l 5112 9657 l 5126 9644 l 5141 9631 l 5153 9619 l 5164 9609 l 5174 9600 l 5184 9592 l 5192 9584 l 5200 9577 l 5209 9569 l 5218 9561 l 5228 9552 l 5237 9543 l 5247 9534 l 5257 9526 l 5266 9517 l 5276 9509 l 5284 9501 l 5293 9493 l 5302 9485 l 5311 9477 l 5320 9469 l 5330 9460 l 5340 9451 l 5350 9441 l 5360 9432 l 5371 9423 l 5380 9414 l 5390 9405 l 5399 9397 l 5408 9389 l 5417 9381 l 5426 9372 l 5436 9364 l 5445 9355 l 5456 9345 l 5466 9336 l 5476 9327 l 5486 9317 l 5496 9308 l 5505 9300 l 5514 9291 l 5523 9283 l 5532 9275 l 5540 9267 l 5550 9258 l 5559 9250 l 5569 9240 l 5579 9231 l 5588 9222 l 5598 9213 l 5607 9204 l 5616 9196 l 5624 9188 l 5632 9180 l 5642 9171 l 5652 9162 l 5663 9151 l 5675 9139 l 5690 9125 l 5704 9111 l 5718 9097 l 5728 9088 l 5732 9084 l 5733 9083 l gs col35 s gr % 20 -> 4 % Polyline n 6383 12066 m 6382 12066 l 6378 12064 l 6367 12060 l 6351 12053 l 6332 12045 l 6311 12037 l 6291 12029 l 6273 12022 l 6257 12015 l 6243 12009 l 6229 12004 l 6216 11998 l 6204 11993 l 6193 11989 l 6180 11983 l 6168 11978 l 6154 11973 l 6141 11967 l 6127 11961 l 6113 11955 l 6099 11949 l 6085 11944 l 6072 11938 l 6059 11932 l 6047 11927 l 6034 11922 l 6022 11917 l 6009 11911 l 5996 11905 l 5983 11900 l 5968 11893 l 5954 11887 l 5939 11881 l 5925 11874 l 5910 11868 l 5896 11862 l 5882 11856 l 5869 11850 l 5856 11844 l 5843 11839 l 5831 11833 l 5818 11828 l 5805 11822 l 5791 11816 l 5777 11809 l 5762 11803 l 5748 11797 l 5733 11790 l 5719 11784 l 5705 11777 l 5692 11771 l 5679 11766 l 5666 11760 l 5654 11755 l 5640 11748 l 5625 11742 l 5610 11735 l 5595 11728 l 5579 11721 l 5563 11713 l 5547 11706 l 5532 11699 l 5517 11692 l 5503 11686 l 5490 11680 l 5477 11674 l 5464 11668 l 5451 11662 l 5437 11655 l 5421 11648 l 5404 11640 l 5385 11632 l 5365 11623 l 5346 11614 l 5331 11607 l 5321 11602 l 5317 11600 l 5316 11600 l gs col0 s gr % 11 -> 12 % Polyline 7.500 slw [15 45] 45 sd n 1316 13016 m 1315 13016 l 1308 13014 l 1294 13011 l 1278 13008 l 1263 13004 l 1249 13001 l 1238 12999 l 1228 12996 l 1217 12994 l 1206 12991 l 1194 12988 l 1182 12985 l 1169 12982 l 1157 12979 l 1145 12976 l 1134 12973 l 1125 12971 l 1116 12969 l 1106 12966 l 1096 12963 l 1086 12960 l 1075 12958 l 1065 12955 l 1055 12952 l 1046 12949 l 1037 12947 l 1027 12945 l 1018 12942 l 1008 12939 l 997 12936 l 986 12933 l 976 12931 l 965 12928 l 955 12925 l 945 12922 l 936 12920 l 926 12917 l 917 12915 l 907 12912 l 896 12909 l 885 12906 l 874 12903 l 863 12900 l 853 12897 l 844 12895 l 834 12892 l 825 12890 l 815 12887 l 804 12884 l 791 12881 l 777 12877 l 762 12873 l 748 12870 l 738 12867 l 734 12866 l 733 12866 l gs col0 s gr [] 0 sd % 4 -> 6 % Polyline 30.000 slw n 5066 11266 m 5066 11265 l 5065 11260 l 5064 11249 l 5062 11232 l 5060 11210 l 5058 11188 l 5055 11167 l 5053 11147 l 5051 11130 l 5050 11114 l 5048 11099 l 5046 11085 l 5045 11072 l 5044 11059 l 5042 11045 l 5040 11031 l 5039 11017 l 5037 11002 l 5035 10986 l 5034 10971 l 5032 10955 l 5030 10940 l 5029 10925 l 5027 10911 l 5025 10897 l 5024 10883 l 5022 10869 l 5021 10855 l 5019 10840 l 5017 10825 l 5016 10809 l 5014 10793 l 5012 10776 l 5010 10760 l 5008 10743 l 5006 10727 l 5005 10712 l 5003 10697 l 5001 10683 l 5000 10668 l 4998 10654 l 4997 10640 l 4995 10625 l 4993 10609 l 4991 10593 l 4989 10577 l 4988 10561 l 4986 10545 l 4984 10528 l 4982 10513 l 4980 10498 l 4979 10483 l 4977 10469 l 4975 10456 l 4974 10442 l 4972 10428 l 4971 10414 l 4969 10399 l 4967 10384 l 4965 10369 l 4964 10354 l 4962 10339 l 4960 10324 l 4959 10310 l 4957 10296 l 4955 10283 l 4954 10270 l 4953 10258 l 4951 10244 l 4949 10230 l 4948 10214 l 4946 10197 l 4944 10179 l 4941 10158 l 4939 10136 l 4937 10116 l 4935 10099 l 4934 10088 l 4933 10084 l 4933 10083 l gs col0 s gr /Times-Roman ff 158.75 scf sf 300 12816 m gs 1 -1 sc (12) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1600 12366 m gs 1 -1 sc (5) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1016 12766 m gs 1 -1 sc (18028) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 15983 m gs 1 -1 sc (7) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3983 12350 m gs 1 -1 sc (18) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5100 11550 m gs 1 -1 sc (4) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4800 12800 m gs 1 -1 sc (2) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5150 14483 m gs 1 -1 sc (3) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4883 13666 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5933 11500 m gs 1 -1 sc (13) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5500 12300 m gs 1 -1 sc (1898) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 13666 m gs 1 -1 sc (9) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4700 12133 m gs 1 -1 sc (32828) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 7050 13433 m gs 1 -1 sc (19) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6283 13700 m gs 1 -1 sc (6540) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6633 12233 m gs 1 -1 sc (20) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2983 12533 m gs 1 -1 sc (1) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2283 12566 m gs 1 -1 sc (18039) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4100 13616 m gs 1 -1 sc (8) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2783 10950 m gs 1 -1 sc (16) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2650 11766 m gs 1 -1 sc (15706) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1583 13133 m gs 1 -1 sc (11) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3050 13683 m gs 1 -1 sc (17) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3583 13533 m gs 1 -1 sc (8774) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6650 9933 m gs 1 -1 sc (14) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5916 8966 m gs 1 -1 sc (10) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6100 9566 m gs 1 -1 sc (1838) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5266 15250 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3550 9633 m gs 1 -1 sc (15) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4916 9900 m gs 1 -1 sc (6) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4233 9900 m gs 1 -1 sc (15554) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5533 9600 m gs 1 -1 sc (1838) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5766 12050 m gs 1 -1 sc (6514) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4766 10750 m gs 1 -1 sc (17392) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2475 13005 m gs 1 -1 sc (18028) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4905 13950 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4050 12870 m gs 1 -1 sc (24526) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3195 13095 m gs 1 -1 sc (8776) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4365 11835 m gs 1 -1 sc (8784) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5400 13185 m gs 1 -1 sc (6508) dup sw pop 2 div neg 0 rm col0 sh gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial Fi -189 2049 a(Fig.) 20 b(3) 64 b(The) 21 b(second) g(part) r(ition) h(is) e(dete) r(rmined) h(by) f(tak) r(ing) h (accou) r(nt) f(of) h(the) g(traf) n(\002c) 30 2156 y(inte) r(nsity) d (measured) g(in) g(the) g(\002rst) f(simulati) r(on.) k(The) c(number) h (at) g(an) f(edge) i(is) 30 2263 y(the) f(traf) n(\002c) g(inte) r (nsity) l(.) p Fg -143 2529 a<214a>p Fo -59 2529 a(3) p Fg -9 2529 a<214b>p Fn 99 2529 a(Impr) m(o) o(ve) h(partition) g(using) h(measur) m(ed) g(CPU) f(usa) o(g) o(e) p Fo -117 2650 a(A) 28 b(netw) o(ork) g(model) h(partition) f(is) g(gradually) g (impro) o(v) o(ed) h(based) g(on) g(the) -189 2772 y(measured) 23 b(statistics) d(of) i(past) f(simulations.) 31 b(Suppose) 22 b(that) g(in) f(the) g(secon) r(d) -189 2894 y(simulation) 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b(Fig.) e(3,) k(the) d(nod) r(e) g(1) h(is) f(chosen,) j(and) f(mo) o (v) o(ed) f(to) p Fl 27 w(G) p Ff 1604 3389 a(1) p Fo 1639 3381 a(.) 49 b(The) -189 3502 y(resulting) 19 b(partition) g(is) g (sho) n(wn) h(in) e(Fig.) g(4.) -117 3624 y(T) -6 b(w) o(o) 30 b(re\002ned) g(sub-netw) o(ork) h(models,) p Fl 33 w(G) p Ff 1009 3632 a(1) p Fo 1074 3624 a(and) p Fl 30 w(G) p Ff 1271 3632 a(2) p Fo 1306 3624 a(,) h(are) e(assigned) h(to) -189 3746 y(tw) o(o) 17 b(computing) h(resources,) g(parallel) f(netw) o (ork) g(simulation) h(is) e(performed.) -189 3867 y(This) 35 b(step) h(is) f(repeated) i(until) e(mo) o(ving) i(node) g(does) f(not) g(contrib) o(ute) g(to) -189 3989 y(shorten) 20 b(the) f(total) f (simulation) h(time.) p Fp -102 4171 a(5) 88 b(Experiments) p Fo -117 4353 a(In) 15 b(this) f(section,) i(we) e(e) n(v) n(alua) r(te) g(the) h(performance) h(of) f(QD-P) -7 b(AR) l(T) 13 b(through) -189 4475 y(se) n(v) o(eral) 19 b(e) o(xperimen) r(ts) f (using) i(a) f(parallel-distrib) o(uted) f(netw) o(ork) i(simulator) l (.) -117 4596 y(In) 25 b(our) g(e) o(xperiments,) h(we) f(use) g(the) g (follo) n(wing) g(de) n(vices) g(and) h(softw) o(are:) -189 4718 y(tw) o(o) e(identical) f(compu) r(ters) g(\(Intel) g(Xeon) h (2.4GHz) g(processor) h(with) e(1,024) -189 4840 y(Mbyte) d(memory) g (runnin) r(g) f(Linux) h(2.4.30) g(and) g(PDNS) e([15]) h(v) o(ersion) h (2.27-) -189 4961 y(v1a\)) g(as) f(computing) h(resources) g(and) g(a) f (gigabit) g(Ethernet) g(switch) g(as) g(a) g(net-) -189 5083 y(w) o(orking) h(resource.) -117 5205 y(W) -6 b(e) 17 b(ha) o(v) o(e) h(implemented) g(a) g(netw) o(ork) g(model) g (partition) g(softw) o(are,) f(which) -189 5326 y(translates) j(a) g (NS2) f([16]) h(simulation) h(script) e(into) h(multiple) g(PDNS) f (simula-) -189 5448 y(tion) g(scripts) g(using) g(QD-P) -7 b(AR) l(T) 17 b(method) r(.) -117 5570 y(A) j(netw) o(ork) h(model) g (is) f(generated) h(as) g(a) f(random) h(graph) g(with) f(20) h(nodes.) -189 5691 y(W) -6 b(e) 17 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6318 13502 l 6304 13504 l 6290 13506 l 6277 13508 l 6264 13510 l 6251 13512 l 6236 13514 l 6222 13516 l 6207 13518 l 6192 13521 l 6177 13523 l 6162 13525 l 6147 13527 l 6134 13529 l 6120 13531 l 6108 13533 l 6095 13535 l 6082 13537 l 6068 13539 l 6054 13541 l 6040 13543 l 6026 13546 l 6011 13548 l 5997 13550 l 5984 13552 l 5971 13554 l 5959 13556 l 5947 13558 l 5935 13560 l 5923 13562 l 5911 13564 l 5896 13566 l 5881 13569 l 5863 13572 l 5845 13575 l 5828 13578 l 5814 13581 l 5805 13582 l 5801 13583 l 5800 13583 l gs col0 s gr % 19 -> 20 % Polyline 7.500 slw [15 45] 45 sd n 6966 13166 m 6966 13165 l 6963 13157 l 6959 13144 l 6954 13127 l 6949 13111 l 6945 13098 l 6942 13086 l 6938 13075 l 6935 13066 l 6933 13057 l 6929 13047 l 6926 13037 l 6923 13027 l 6919 13016 l 6916 13005 l 6913 12995 l 6910 12985 l 6907 12976 l 6903 12966 l 6900 12956 l 6897 12946 l 6893 12935 l 6889 12923 l 6886 12912 l 6882 12901 l 6879 12890 l 6875 12880 l 6872 12870 l 6869 12860 l 6865 12849 l 6862 12838 l 6858 12827 l 6854 12815 l 6851 12804 l 6847 12792 l 6843 12782 l 6840 12771 l 6837 12761 l 6834 12751 l 6830 12741 l 6827 12730 l 6823 12719 l 6819 12707 l 6815 12696 l 6811 12684 l 6808 12674 l 6804 12664 l 6801 12654 l 6798 12644 l 6794 12634 l 6791 12623 l 6786 12610 l 6781 12595 l 6776 12580 l 6771 12565 l 6768 12555 l 6766 12551 l 6766 12550 l gs col0 s gr [] 0 sd % 1 -> 5 % Polyline 30.000 slw n 2733 12450 m 2732 12450 l 2726 12449 l 2713 12447 l 2694 12445 l 2674 12442 l 2654 12440 l 2637 12437 l 2622 12435 l 2609 12433 l 2596 12432 l 2585 12430 l 2573 12429 l 2561 12427 l 2549 12425 l 2536 12424 l 2522 12422 l 2509 12420 l 2496 12418 l 2483 12417 l 2471 12415 l 2459 12414 l 2447 12412 l 2435 12411 l 2423 12409 l 2410 12408 l 2397 12406 l 2383 12404 l 2369 12403 l 2355 12401 l 2342 12399 l 2328 12398 l 2315 12396 l 2303 12395 l 2291 12393 l 2279 12392 l 2267 12390 l 2254 12389 l 2240 12387 l 2227 12386 l 2213 12384 l 2199 12383 l 2185 12381 l 2172 12380 l 2159 12378 l 2147 12377 l 2135 12376 l 2123 12374 l 2111 12373 l 2099 12372 l 2086 12370 l 2073 12369 l 2060 12368 l 2046 12366 l 2033 12365 l 2021 12364 l 2009 12363 l 1998 12362 l 1987 12361 l 1974 12360 l 1960 12359 l 1945 12357 l 1928 12356 l 1909 12355 l 1889 12353 l 1870 12352 l 1857 12351 l 1851 12350 l 1850 12350 l gs col35 s gr % 1 -> 2 % Polyline n 3233 12516 m 3234 12516 l 3237 12517 l 3245 12518 l 3259 12520 l 3277 12523 l 3298 12526 l 3319 12529 l 3339 12532 l 3358 12535 l 3375 12537 l 3391 12540 l 3405 12542 l 3419 12544 l 3433 12546 l 3447 12548 l 3461 12550 l 3476 12552 l 3491 12555 l 3507 12557 l 3524 12560 l 3541 12562 l 3558 12565 l 3575 12567 l 3592 12570 l 3608 12572 l 3624 12575 l 3639 12577 l 3655 12580 l 3670 12582 l 3685 12584 l 3702 12587 l 3718 12589 l 3736 12592 l 3754 12595 l 3772 12598 l 3790 12600 l 3808 12603 l 3826 12606 l 3843 12609 l 3859 12611 l 3875 12614 l 3891 12616 l 3907 12618 l 3923 12621 l 3939 12623 l 3956 12626 l 3974 12629 l 3992 12632 l 4010 12634 l 4028 12637 l 4046 12640 l 4064 12643 l 4081 12645 l 4097 12648 l 4112 12650 l 4128 12653 l 4143 12655 l 4158 12657 l 4174 12660 l 4191 12662 l 4207 12665 l 4224 12667 l 4241 12670 l 4259 12672 l 4275 12675 l 4291 12677 l 4307 12680 l 4322 12682 l 4336 12684 l 4350 12686 l 4364 12688 l 4378 12690 l 4392 12692 l 4408 12695 l 4425 12697 l 4444 12700 l 4464 12703 l 4485 12706 l 4506 12709 l 4524 12712 l 4538 12714 l 4546 12715 l 4549 12716 l 4550 12716 l gs col0 s gr % 1 -> 8 % Polyline n 3150 12650 m 3151 12650 l 3154 12654 l 3161 12661 l 3173 12671 l 3187 12685 l 3202 12699 l 3216 12712 l 3229 12724 l 3241 12735 l 3251 12745 l 3261 12755 l 3271 12764 l 3280 12773 l 3290 12782 l 3301 12792 l 3312 12803 l 3323 12814 l 3335 12825 l 3347 12836 l 3359 12848 l 3370 12859 l 3381 12869 l 3392 12880 l 3402 12890 l 3413 12900 l 3423 12910 l 3435 12921 l 3447 12933 l 3459 12945 l 3471 12957 l 3484 12969 l 3496 12981 l 3508 12992 l 3519 13004 l 3530 13014 l 3541 13025 l 3552 13035 l 3563 13046 l 3575 13057 l 3587 13069 l 3599 13081 l 3611 13093 l 3624 13105 l 3636 13117 l 3648 13128 l 3659 13139 l 3670 13149 l 3681 13160 l 3691 13170 l 3702 13180 l 3713 13190 l 3724 13201 l 3736 13213 l 3748 13224 l 3760 13235 l 3771 13246 l 3782 13257 l 3793 13267 l 3803 13276 l 3813 13286 l 3822 13295 l 3832 13304 l 3842 13314 l 3854 13325 l 3867 13337 l 3881 13351 l 3896 13365 l 3910 13378 l 3922 13389 l 3929 13396 l 3932 13399 l 3933 13400 l gs col35 s gr % 1 -> 16 % Polyline n 2950 12250 m 2950 12249 l 2949 12245 l 2948 12234 l 2946 12218 l 2944 12198 l 2941 12177 l 2939 12156 l 2937 12138 l 2935 12122 l 2933 12107 l 2931 12093 l 2930 12079 l 2928 12065 l 2926 12051 l 2925 12036 l 2923 12020 l 2921 12004 l 2919 11987 l 2917 11970 l 2915 11954 l 2913 11937 l 2911 11921 l 2909 11906 l 2908 11891 l 2906 11878 l 2904 11865 l 2903 11851 l 2901 11837 l 2899 11822 l 2897 11807 l 2895 11792 l 2894 11776 l 2892 11761 l 2890 11746 l 2888 11732 l 2886 11718 l 2885 11704 l 2883 11691 l 2881 11678 l 2880 11664 l 2878 11650 l 2876 11636 l 2874 11621 l 2872 11606 l 2871 11590 l 2869 11575 l 2867 11560 l 2865 11545 l 2863 11531 l 2862 11517 l 2860 11504 l 2858 11491 l 2856 11476 l 2855 11461 l 2853 11445 l 2851 11428 l 2849 11412 l 2847 11395 l 2845 11378 l 2843 11362 l 2841 11346 l 2839 11331 l 2837 11317 l 2836 11303 l 2834 11289 l 2832 11276 l 2831 11261 l 2829 11244 l 2827 11226 l 2824 11206 l 2822 11185 l 2820 11165 l 2818 11149 l 2817 11138 l 2816 11134 l 2816 11133 l gs col0 s gr % 1 -> 11 % Polyline n 2750 12583 m 2749 12583 l 2746 12585 l 2737 12588 l 2724 12594 l 2707 12601 l 2690 12608 l 2673 12614 l 2658 12621 l 2645 12626 l 2633 12631 l 2621 12636 l 2610 12641 l 2599 12645 l 2588 12650 l 2575 12655 l 2563 12661 l 2549 12667 l 2536 12672 l 2522 12678 l 2509 12684 l 2496 12690 l 2483 12695 l 2470 12701 l 2458 12706 l 2446 12711 l 2434 12717 l 2421 12723 l 2407 12729 l 2393 12735 l 2378 12741 l 2364 12748 l 2349 12754 l 2336 12760 l 2322 12766 l 2309 12772 l 2297 12777 l 2284 12783 l 2271 12788 l 2258 12794 l 2244 12801 l 2230 12807 l 2215 12813 l 2201 12820 l 2186 12826 l 2172 12832 l 2159 12838 l 2147 12844 l 2134 12850 l 2122 12855 l 2109 12861 l 2096 12866 l 2083 12872 l 2069 12879 l 2055 12885 l 2041 12891 l 2027 12897 l 2014 12903 l 2002 12908 l 1990 12914 l 1978 12919 l 1967 12924 l 1955 12929 l 1943 12935 l 1929 12941 l 1913 12948 l 1896 12955 l 1878 12963 l 1861 12971 l 1847 12977 l 1838 12981 l 1834 12983 l 1833 12983 l gs col0 s gr % 17 -> 18 % Polyline 7.500 slw [15 45] 45 sd n 3183 13433 m 3183 13432 l 3186 13429 l 3191 13422 l 3199 13410 l 3208 13396 l 3219 13382 l 3228 13367 l 3237 13355 l 3245 13343 l 3252 13333 l 3259 13323 l 3266 13314 l 3273 13304 l 3279 13294 l 3287 13284 l 3294 13273 l 3302 13262 l 3310 13250 l 3319 13238 l 3327 13227 l 3335 13215 l 3342 13204 l 3350 13194 l 3357 13184 l 3364 13173 l 3372 13162 l 3380 13151 l 3388 13139 l 3396 13127 l 3405 13115 l 3414 13102 l 3423 13090 l 3431 13078 l 3439 13067 l 3447 13055 l 3454 13045 l 3462 13034 l 3470 13023 l 3478 13011 l 3486 12999 l 3495 12987 l 3504 12974 l 3513 12961 l 3522 12949 l 3530 12937 l 3538 12925 l 3546 12914 l 3554 12904 l 3562 12893 l 3570 12882 l 3578 12870 l 3586 12858 l 3595 12846 l 3604 12834 l 3613 12821 l 3622 12809 l 3630 12798 l 3638 12786 l 3646 12776 l 3653 12765 l 3661 12755 l 3669 12744 l 3677 12733 l 3686 12720 l 3697 12706 l 3708 12690 l 3720 12674 l 3732 12658 l 3741 12645 l 3747 12637 l 3750 12634 l 3750 12633 l gs col0 s gr [] 0 sd % 17 -> 8 % Polyline 30.000 slw n 3333 13616 m 3334 13616 l 3341 13615 l 3355 13614 l 3371 13613 l 3386 13612 l 3398 13611 l 3409 13610 l 3420 13609 l 3430 13609 l 3440 13608 l 3452 13607 l 3464 13607 l 3475 13606 l 3487 13605 l 3498 13605 l 3508 13604 l 3518 13604 l 3529 13603 l 3541 13603 l 3553 13602 l 3564 13601 l 3576 13601 l 3587 13600 l 3597 13600 l 3607 13599 l 3618 13599 l 3630 13598 l 3641 13597 l 3653 13597 l 3665 13596 l 3675 13596 l 3685 13595 l 3695 13594 l 3706 13594 l 3717 13593 l 3728 13592 l 3740 13592 l 3750 13591 l 3760 13590 l 3770 13590 l 3779 13589 l 3790 13588 l 3801 13587 l 3815 13586 l 3830 13585 l 3842 13584 l 3849 13583 l 3850 13583 l gs col0 s gr % 14 -> 10 % Polyline n 6500 9683 m 6499 9682 l 6496 9678 l 6489 9670 l 6480 9658 l 6469 9644 l 6459 9632 l 6450 9621 l 6442 9611 l 6435 9602 l 6428 9594 l 6422 9585 l 6415 9576 l 6407 9567 l 6399 9557 l 6391 9547 l 6383 9537 l 6375 9526 l 6368 9517 l 6361 9507 l 6354 9499 l 6347 9489 l 6339 9480 l 6332 9470 l 6324 9460 l 6315 9449 l 6307 9439 l 6299 9428 l 6292 9419 l 6284 9409 l 6277 9400 l 6270 9391 l 6263 9381 l 6255 9371 l 6247 9361 l 6239 9350 l 6231 9339 l 6223 9329 l 6216 9319 l 6209 9310 l 6202 9301 l 6195 9292 l 6188 9282 l 6181 9273 l 6173 9263 l 6166 9252 l 6158 9242 l 6151 9232 l 6144 9223 l 6137 9214 l 6131 9205 l 6125 9197 l 6119 9188 l 6111 9178 l 6103 9167 l 6094 9155 l 6084 9141 l 6076 9129 l 6069 9121 l 6066 9117 l 6066 9116 l gs col0 s gr % 3 -> 7 % Polyline n 5216 14650 m 5216 14651 l 5217 14655 l 5220 14665 l 5223 14680 l 5228 14699 l 5233 14719 l 5237 14738 l 5242 14755 l 5245 14770 l 5249 14784 l 5252 14797 l 5255 14810 l 5259 14823 l 5262 14836 l 5266 14850 l 5269 14865 l 5273 14881 l 5277 14896 l 5281 14912 l 5285 14928 l 5289 14944 l 5293 14958 l 5297 14973 l 5301 14987 l 5304 14999 l 5307 15012 l 5310 15025 l 5314 15038 l 5318 15052 l 5321 15067 l 5325 15081 l 5329 15096 l 5333 15110 l 5336 15125 l 5340 15138 l 5343 15152 l 5347 15164 l 5350 15177 l 5353 15190 l 5356 15202 l 5360 15216 l 5363 15230 l 5367 15244 l 5371 15258 l 5374 15273 l 5378 15287 l 5382 15302 l 5385 15316 l 5389 15330 l 5392 15343 l 5395 15355 l 5399 15368 l 5402 15382 l 5406 15397 l 5410 15412 l 5414 15428 l 5418 15444 l 5422 15460 l 5426 15477 l 5430 15492 l 5433 15508 l 5437 15522 l 5440 15536 l 5444 15550 l 5447 15563 l 5450 15576 l 5454 15591 l 5457 15607 l 5462 15625 l 5466 15644 l 5471 15665 l 5476 15684 l 5479 15700 l 5482 15711 l 5483 15715 l 5483 15716 l gs col0 s gr % 8 -> 9 % Polyline n 4350 13583 m 4351 13583 l 4355 13583 l 4364 13583 l 4378 13583 l 4395 13583 l 4413 13583 l 4431 13584 l 4446 13584 l 4461 13584 l 4473 13584 l 4485 13584 l 4497 13584 l 4509 13584 l 4521 13585 l 4534 13585 l 4547 13585 l 4561 13585 l 4575 13586 l 4589 13586 l 4604 13586 l 4617 13586 l 4631 13587 l 4644 13587 l 4657 13587 l 4669 13587 l 4682 13588 l 4696 13588 l 4710 13588 l 4725 13589 l 4740 13589 l 4755 13589 l 4770 13590 l 4785 13590 l 4798 13590 l 4812 13591 l 4825 13591 l 4838 13591 l 4851 13592 l 4865 13592 l 4879 13592 l 4894 13593 l 4909 13593 l 4924 13593 l 4939 13594 l 4953 13594 l 4967 13594 l 4980 13595 l 4993 13595 l 5005 13595 l 5018 13595 l 5032 13596 l 5045 13596 l 5060 13596 l 5074 13596 l 5088 13597 l 5102 13597 l 5116 13597 l 5128 13597 l 5141 13598 l 5152 13598 l 5164 13598 l 5176 13598 l 5189 13598 l 5203 13599 l 5219 13599 l 5236 13599 l 5255 13599 l 5272 13600 l 5286 13600 l 5295 13600 l 5299 13600 l 5300 13600 l gs col0 s gr % 13 -> 14 % Polyline 7.500 slw [15 45] 45 sd n 6033 11233 m 6033 11232 l 6035 11229 l 6039 11220 l 6045 11206 l 6053 11190 l 6061 11172 l 6068 11156 l 6075 11140 l 6081 11127 l 6087 11115 l 6092 11103 l 6098 11092 l 6103 11080 l 6108 11068 l 6114 11056 l 6120 11043 l 6126 11029 l 6132 11015 l 6139 11001 l 6145 10987 l 6151 10973 l 6157 10960 l 6163 10947 l 6169 10935 l 6175 10922 l 6180 10909 l 6187 10895 l 6193 10881 l 6200 10866 l 6207 10851 l 6214 10836 l 6220 10821 l 6227 10806 l 6233 10792 l 6239 10778 l 6246 10765 l 6252 10752 l 6258 10738 l 6264 10724 l 6271 10709 l 6278 10694 l 6285 10678 l 6292 10662 l 6299 10647 l 6306 10632 l 6313 10617 l 6319 10604 l 6325 10590 l 6331 10577 l 6338 10563 l 6344 10549 l 6351 10534 l 6358 10518 l 6365 10503 l 6373 10487 l 6380 10472 l 6386 10457 l 6393 10443 l 6399 10430 l 6405 10417 l 6411 10404 l 6418 10390 l 6424 10376 l 6432 10360 l 6440 10342 l 6449 10322 l 6459 10301 l 6468 10282 l 6476 10266 l 6481 10255 l 6483 10251 l 6483 10250 l gs col0 s gr [] 0 sd % 15 -> 16 % Polyline [15 45] 45 sd n 3433 9783 m 3433 9784 l 3430 9789 l 3423 9799 l 3415 9814 l 3405 9831 l 3396 9847 l 3388 9860 l 3380 9873 l 3374 9884 l 3368 9894 l 3362 9905 l 3355 9916 l 3348 9928 l 3341 9941 l 3333 9954 l 3326 9967 l 3318 9980 l 3311 9993 l 3304 10005 l 3297 10017 l 3291 10026 l 3285 10036 l 3279 10047 l 3272 10058 l 3266 10070 l 3259 10081 l 3252 10093 l 3245 10105 l 3238 10116 l 3232 10127 l 3226 10138 l 3220 10148 l 3214 10158 l 3207 10169 l 3201 10180 l 3194 10191 l 3187 10203 l 3180 10216 l 3173 10228 l 3166 10240 l 3159 10251 l 3152 10263 l 3146 10273 l 3140 10284 l 3134 10294 l 3128 10305 l 3121 10316 l 3114 10328 l 3107 10340 l 3100 10352 l 3093 10364 l 3086 10376 l 3079 10387 l 3073 10398 l 3067 10409 l 3061 10419 l 3054 10429 l 3048 10440 l 3042 10451 l 3034 10464 l 3026 10478 l 3017 10493 l 3007 10509 l 2998 10525 l 2990 10538 l 2985 10546 l 2983 10549 l 2983 10550 l gs col0 s gr [] 0 sd % 15 -> 6 % Polyline 30.000 slw n 3833 9633 m 3834 9633 l 3840 9634 l 3853 9637 l 3871 9640 l 3891 9644 l 3910 9648 l 3926 9651 l 3941 9654 l 3954 9657 l 3967 9659 l 3977 9661 l 3988 9664 l 4000 9666 l 4012 9668 l 4024 9671 l 4037 9673 l 4050 9676 l 4062 9678 l 4074 9680 l 4086 9683 l 4098 9685 l 4109 9687 l 4120 9689 l 4132 9692 l 4144 9694 l 4156 9696 l 4169 9699 l 4182 9702 l 4195 9704 l 4208 9707 l 4221 9709 l 4233 9711 l 4244 9714 l 4256 9716 l 4267 9718 l 4279 9721 l 4291 9723 l 4303 9725 l 4316 9728 l 4329 9730 l 4342 9733 l 4354 9736 l 4367 9738 l 4379 9740 l 4390 9743 l 4401 9745 l 4414 9747 l 4427 9750 l 4442 9753 l 4456 9756 l 4471 9759 l 4486 9762 l 4500 9765 l 4514 9768 l 4526 9770 l 4539 9773 l 4551 9775 l 4563 9778 l 4577 9781 l 4593 9784 l 4611 9788 l 4630 9792 l 4647 9796 l 4659 9799 l 4665 9800 l 4666 9800 l gs col0 s gr % 6 -> 10 % Polyline n 5083 9683 m 5084 9682 l 5088 9678 l 5098 9669 l 5112 9657 l 5126 9644 l 5141 9631 l 5153 9619 l 5164 9609 l 5174 9600 l 5184 9592 l 5192 9584 l 5200 9577 l 5209 9569 l 5218 9561 l 5228 9552 l 5237 9543 l 5247 9534 l 5257 9526 l 5266 9517 l 5276 9509 l 5284 9501 l 5293 9493 l 5302 9485 l 5311 9477 l 5320 9469 l 5330 9460 l 5340 9451 l 5350 9441 l 5360 9432 l 5371 9423 l 5380 9414 l 5390 9405 l 5399 9397 l 5408 9389 l 5417 9381 l 5426 9372 l 5436 9364 l 5445 9355 l 5456 9345 l 5466 9336 l 5476 9327 l 5486 9317 l 5496 9308 l 5505 9300 l 5514 9291 l 5523 9283 l 5532 9275 l 5540 9267 l 5550 9258 l 5559 9250 l 5569 9240 l 5579 9231 l 5588 9222 l 5598 9213 l 5607 9204 l 5616 9196 l 5624 9188 l 5632 9180 l 5642 9171 l 5652 9162 l 5663 9151 l 5675 9139 l 5690 9125 l 5704 9111 l 5718 9097 l 5728 9088 l 5732 9084 l 5733 9083 l gs col35 s gr % 20 -> 4 % Polyline n 6383 12066 m 6382 12066 l 6378 12064 l 6367 12060 l 6351 12053 l 6332 12045 l 6311 12037 l 6291 12029 l 6273 12022 l 6257 12015 l 6243 12009 l 6229 12004 l 6216 11998 l 6204 11993 l 6193 11989 l 6180 11983 l 6168 11978 l 6154 11973 l 6141 11967 l 6127 11961 l 6113 11955 l 6099 11949 l 6085 11944 l 6072 11938 l 6059 11932 l 6047 11927 l 6034 11922 l 6022 11917 l 6009 11911 l 5996 11905 l 5983 11900 l 5968 11893 l 5954 11887 l 5939 11881 l 5925 11874 l 5910 11868 l 5896 11862 l 5882 11856 l 5869 11850 l 5856 11844 l 5843 11839 l 5831 11833 l 5818 11828 l 5805 11822 l 5791 11816 l 5777 11809 l 5762 11803 l 5748 11797 l 5733 11790 l 5719 11784 l 5705 11777 l 5692 11771 l 5679 11766 l 5666 11760 l 5654 11755 l 5640 11748 l 5625 11742 l 5610 11735 l 5595 11728 l 5579 11721 l 5563 11713 l 5547 11706 l 5532 11699 l 5517 11692 l 5503 11686 l 5490 11680 l 5477 11674 l 5464 11668 l 5451 11662 l 5437 11655 l 5421 11648 l 5404 11640 l 5385 11632 l 5365 11623 l 5346 11614 l 5331 11607 l 5321 11602 l 5317 11600 l 5316 11600 l gs col0 s gr % 11 -> 12 % Polyline 7.500 slw [15 45] 45 sd n 1316 13016 m 1315 13016 l 1308 13014 l 1294 13011 l 1278 13008 l 1263 13004 l 1249 13001 l 1238 12999 l 1228 12996 l 1217 12994 l 1206 12991 l 1194 12988 l 1182 12985 l 1169 12982 l 1157 12979 l 1145 12976 l 1134 12973 l 1125 12971 l 1116 12969 l 1106 12966 l 1096 12963 l 1086 12960 l 1075 12958 l 1065 12955 l 1055 12952 l 1046 12949 l 1037 12947 l 1027 12945 l 1018 12942 l 1008 12939 l 997 12936 l 986 12933 l 976 12931 l 965 12928 l 955 12925 l 945 12922 l 936 12920 l 926 12917 l 917 12915 l 907 12912 l 896 12909 l 885 12906 l 874 12903 l 863 12900 l 853 12897 l 844 12895 l 834 12892 l 825 12890 l 815 12887 l 804 12884 l 791 12881 l 777 12877 l 762 12873 l 748 12870 l 738 12867 l 734 12866 l 733 12866 l gs col0 s gr [] 0 sd % 4 -> 6 % Polyline 30.000 slw n 5066 11266 m 5066 11265 l 5065 11260 l 5064 11249 l 5062 11232 l 5060 11210 l 5058 11188 l 5055 11167 l 5053 11147 l 5051 11130 l 5050 11114 l 5048 11099 l 5046 11085 l 5045 11072 l 5044 11059 l 5042 11045 l 5040 11031 l 5039 11017 l 5037 11002 l 5035 10986 l 5034 10971 l 5032 10955 l 5030 10940 l 5029 10925 l 5027 10911 l 5025 10897 l 5024 10883 l 5022 10869 l 5021 10855 l 5019 10840 l 5017 10825 l 5016 10809 l 5014 10793 l 5012 10776 l 5010 10760 l 5008 10743 l 5006 10727 l 5005 10712 l 5003 10697 l 5001 10683 l 5000 10668 l 4998 10654 l 4997 10640 l 4995 10625 l 4993 10609 l 4991 10593 l 4989 10577 l 4988 10561 l 4986 10545 l 4984 10528 l 4982 10513 l 4980 10498 l 4979 10483 l 4977 10469 l 4975 10456 l 4974 10442 l 4972 10428 l 4971 10414 l 4969 10399 l 4967 10384 l 4965 10369 l 4964 10354 l 4962 10339 l 4960 10324 l 4959 10310 l 4957 10296 l 4955 10283 l 4954 10270 l 4953 10258 l 4951 10244 l 4949 10230 l 4948 10214 l 4946 10197 l 4944 10179 l 4941 10158 l 4939 10136 l 4937 10116 l 4935 10099 l 4934 10088 l 4933 10084 l 4933 10083 l gs col0 s gr /Times-Roman ff 158.75 scf sf 300 12816 m gs 1 -1 sc (12) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1600 12366 m gs 1 -1 sc (5) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1016 12766 m gs 1 -1 sc (18028) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 15983 m gs 1 -1 sc (7) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3983 12350 m gs 1 -1 sc (18) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5100 11550 m gs 1 -1 sc (4) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4800 12800 m gs 1 -1 sc (2) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5150 14483 m gs 1 -1 sc (3) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5933 11500 m gs 1 -1 sc (13) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5500 12300 m gs 1 -1 sc (1898) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5550 13666 m gs 1 -1 sc (9) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 7050 13433 m gs 1 -1 sc (19) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6283 13700 m gs 1 -1 sc (6540) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6633 12233 m gs 1 -1 sc (20) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2983 12533 m gs 1 -1 sc (1) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2283 12566 m gs 1 -1 sc (18039) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3866 12800 m gs 1 -1 sc (24526) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4100 13616 m gs 1 -1 sc (8) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2783 10950 m gs 1 -1 sc (16) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2650 11766 m gs 1 -1 sc (15706) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 1583 13133 m gs 1 -1 sc (11) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3050 13683 m gs 1 -1 sc (17) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3583 13533 m gs 1 -1 sc (8774) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6650 9933 m gs 1 -1 sc (14) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5916 8966 m gs 1 -1 sc (10) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 6100 9566 m gs 1 -1 sc (1838) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5266 15250 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3550 9633 m gs 1 -1 sc (15) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4916 9900 m gs 1 -1 sc (6) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4233 9900 m gs 1 -1 sc (15554) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5533 9600 m gs 1 -1 sc (1838) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5766 12050 m gs 1 -1 sc (6514) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4766 10750 m gs 1 -1 sc (17392) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 2475 12960 m gs 1 -1 sc (18028) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 3915 13140 m gs 1 -1 sc (8776) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4905 13950 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4725 13500 m gs 1 -1 sc (0) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 5400 13185 m gs 1 -1 sc (6508) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4410 11835 m gs 1 -1 sc (8784) dup sw pop 2 div neg 0 rm col0 sh gr /Times-Roman ff 158.75 scf sf 4680 12150 m gs 1 -1 sc (32828) dup sw pop 2 div neg 0 rm col0 sh gr % here ends figure; $F2psEnd rs showpage %%Trailer %EOF %%EndDocument @endspecial Fi 1967 2049 a(Fig.) e(4) 64 b(A) 16 b(netw) o(or) r(k) g (model) g(part) r(ition) h(is) g(gradual) r(ly) f(impro) o(v) o(e) r(d) g(based) h(on) f(the) h(mea-) 2186 2156 y(sured) 23 b(stati) r(stics) h (of) f(past) g(simulat) r(ions.) 39 b(Since) 24 b(the) g(computi) r(ng) f(resource) 2186 2263 y(processin) r(g) p Fd 17 w(G) p Ff 2542 2272 a(2) p Fi 2594 2263 a(is) 17 b(more) h(loade) r(d) f (\(i.e.,) p Fd 17 w(P) p Ff 3185 2272 a(2) p Fc 3220 2263 a(\(1\)) p Fd 22 w(<) j(P) p Ff 3451 2272 a(2) p Fc 3486 2263 a(\(2\)) p Fi(\),) e(the) g(node) h(1) e(in) p Fd 2186 2370 a(G) p Ff 2241 2379 a(2) p Fi 2292 2370 a(is) g(mo) o(v) o(ed) g(to) p Fd 17 w(G) p Ff 2671 2379 a(1) p Fi 2706 2370 a(.) p Fo 1967 2630 a(In) i(the) g(homo) r(geneous) i(case,) e(the) g(band) r(width) g(and) h(the) f(propag) r(ation) g (delay) 1967 2752 y(of) h(each) h(link) f(is) g(equally) h(set) f(to) h (1) f([Mbit/s]) g(and) h(1) f([ms],) g(respecti) n(v) o(ely) -5 b(.) 28 b(In) 1967 2874 y(the) 17 b(heteroge) r(neous) h(case,) g(the) f (band) r(width) g(and) h(the) g(propagation) g(delay) g(of) 1967 2996 y(each) 25 b(link) f(is) g(randomly) h(set) f(to) g(v) n(alues) h (between) g(0) g(and) g(1) f([Mbit/s],) h(and) 1967 3117 y(between) c(0) g(and) g(1) g([ms],) f(respecti) n(v) o(ely) -5 b(.) 29 b(Either) 20 b(tw) o(o) h(or) f(ten) h(TCP) e(conne) r(c-) 1967 3239 y(tions) d(are) f(generated) i(between) f(rando) r(mly-chosen) h (nodes.) 23 b(All) 15 b(routers) g(are) 1967 3361 y(DropT) -6 b(ail) 18 b(with) h(100) h([pack) o(et]) f(b) o(uf) n(fer) l(.) 2039 3482 y(In) i(what) g(follo) n(ws,) g(due) g(to) g(space) h(limitation,) e(only) i(e) o(xperiment) g(results) 1967 3604 y(with) p Fl 18 w(\013) p Fk 22 w(=) f(0) p Fo 19 w(are) e(presented.) 2039 3726 y(Figure) 14 b(5) h(sho) n(ws) g(the) f(total) h(simulation) f (time) h(at) f(each) h(simulation) g(run) g(for) 1967 3847 y(tw) o(o) i(TCP) e(conn) r(ections) i(and) g(ten) g(TCP) f (connections) i(in) f(the) g(homogen) r(eous) 1967 3969 y(case.) 43 b(This) 26 b(\002gure) f(sho) n(ws) i(that) e(using) h (QD-P) -7 b(AR) l(T) 24 b(the) i(total) f(simulation) 1967 4091 y(time) h(is) h(gradua) r(lly) f(reduced) r(.) 47 b(One) 28 b(can) f(\002nd) g(from) g(this) g(\002gure) g(that) g(the) 1967 4212 y(total) 22 b(simulation) h(time) g(is) f(con) m(v) o(er) o (ged) i(by) g(the) f(8-th) g(simulation.) 35 b(Re) o(gard-) 1967 4334 y(less) 20 b(of) g(the) h(number) g(of) f(TCP) f(conne) r(ctions,) h(the) h(total) e(simulation) i(time) f(is) 1967 4456 y(signi\002cantly) f(reduced) h(from) f(the) g(initial) f(partition.) 2039 4577 y(Figure) 24 b(6) h(sho) n(ws) g(the) g(total) f(simulation) h (time) g(at) f(each) h(simulation) g(run) 1967 4699 y(for) 19 b(tw) o(o) h(TCP) f(connection) r(s) g(and) h(ten) g(TCP) f(connection) r(s) g(in) h(the) g(heteroge-) 1967 4821 y(neous) i(case.) 30 b(This) 21 b(\002gure) g(sho) n(ws) h(QD-P) -7 b(AR) l(T) 20 b(is) g(quite) i(ef) n(fecti) n(v) o(e) f(particu-) 1967 4943 y(larly) d(in) g(the) g(heterogen) r(eous) g(case.) 24 b(Also) 18 b(this) g(\002gure) g(sho) n(ws) h(that) f(the) g(total) 1967 5064 y(simulation) h(time) g(is) f(con) m(v) o(er) o(ged) i(at) f(the) g (7-th) g(simulation.) 2039 5186 y(The) 34 b(reason) h(of) f(QD-P) -7 b(AR) l(T') h(s) 34 b(ef) n(fecti) n(v) o(ene) r(ss) g(in) g(the) g (heterogen) r(eous) 1967 5308 y(case) 28 b(can) g(be) g(e) o(xplained) h (by) f(heterogene) r(ity) f(in) g(the) h(bandwid) r(th) f(and) h(the) 1967 5429 y(propagation) 20 b(delay) f(of) g(links.) k(If) c(the) g (bandwidth) h(and/or) f(the) g(propag) r(ation) 1967 5551 y(delay) g(of) f(all) g(links) h(are) g(almost) f(the) h(same,) f (e) o(xisting) h(graph) h(partition) e(algo-) 1967 5673 y(rithms) h(such) i(as) f([14]) g(are) g(ef) n(fecti) n(v) o(e.) 26 b(Ho) n(we) n(v) o(er) m(,) 21 b(if) e(the) h(bandwidth) h(and/or) 1967 5794 y(the) 26 b(propag) r(ation) g(delay) g(of) h(links) f(are) g (quite) g(dif) n(ferent) h(with) f(each) g(other) m(,) 3755 6030 y(\227) 18 b(5) h(\227) p dyy eop end %%Page: 6 6 TeXDict begin 6 5 bop -189 1257 a @beginspecial 50 @llx 50 @lly 230 @urx 176 @ury 2450 @rwi @setspecial %%BeginDocument: figure/const-level0/20-2-1-1-100-rho-T.eps %!PS-Adobe-2.0 EPSF-2.0 %%Creator: gnuplot 4.0 patchlevel 0 %%CreationDate: Sat Feb 4 02:13:39 2006 %%DocumentFonts: (atend) %%BoundingBox: 50 50 230 176 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color true def /Solid false def /gnulinewidth 10.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop /MFshow { { dup 5 get 3 ge { 5 get 3 eq {gsave} {grestore} ifelse } {dup dup 0 get findfont exch 1 get scalefont setfont [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 get exch 4 get {show} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop pop aload pop M} ifelse }ifelse }ifelse } ifelse } forall} bind def /MFwidth {0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont 6 get stringwidth pop add} {pop} ifelse} forall} bind def /MLshow { currentpoint stroke M 0 exch R MFshow } bind def /MRshow { currentpoint stroke M exch dup MFwidth neg 3 -1 roll R MFshow } def /MCshow { currentpoint stroke M exch dup MFwidth -2 div 3 -1 roll R MFshow } def end %%EndProlog gnudict begin gsave 50 50 translate 0.050 0.050 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 714 420 M 63 0 V 2585 0 R -63 0 V stroke 630 420 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0)] ] -46.7 MRshow 1.000 UL LTb 714 806 M 63 0 V 2585 0 R -63 0 V stroke 630 806 M [ [(Helvetica) 140.0 0.0 true true 0 ( 50)] ] -46.7 MRshow 1.000 UL LTb 714 1193 M 63 0 V 2585 0 R -63 0 V stroke 630 1193 M [ [(Helvetica) 140.0 0.0 true true 0 ( 100)] ] -46.7 MRshow 1.000 UL LTb 714 1579 M 63 0 V 2585 0 R -63 0 V stroke 630 1579 M [ [(Helvetica) 140.0 0.0 true true 0 ( 150)] ] -46.7 MRshow 1.000 UL LTb 714 1966 M 63 0 V 2585 0 R -63 0 V stroke 630 1966 M [ [(Helvetica) 140.0 0.0 true true 0 ( 200)] ] -46.7 MRshow 1.000 UL LTb 714 2352 M 63 0 V 2585 0 R -63 0 V stroke 630 2352 M [ [(Helvetica) 140.0 0.0 true true 0 ( 250)] ] -46.7 MRshow 1.000 UL LTb 714 420 M 0 63 V 0 1869 R 0 -63 V stroke 714 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0)] ] -46.7 MCshow 1.000 UL LTb 1045 420 M 0 63 V 0 1869 R 0 -63 V stroke 1045 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 2)] ] -46.7 MCshow 1.000 UL LTb 1376 420 M 0 63 V 0 1869 R 0 -63 V stroke 1376 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 4)] ] -46.7 MCshow 1.000 UL LTb 1707 420 M 0 63 V 0 1869 R 0 -63 V stroke 1707 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 6)] ] -46.7 MCshow 1.000 UL LTb 2038 420 M 0 63 V 0 1869 R 0 -63 V stroke 2038 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 8)] ] -46.7 MCshow 1.000 UL LTb 2369 420 M 0 63 V 0 1869 R 0 -63 V stroke 2369 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 10)] ] -46.7 MCshow 1.000 UL LTb 2700 420 M 0 63 V 0 1869 R 0 -63 V stroke 2700 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 12)] ] -46.7 MCshow 1.000 UL LTb 3031 420 M 0 63 V 0 1869 R 0 -63 V stroke 3031 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 14)] ] -46.7 MCshow 1.000 UL LTb 3362 420 M 0 63 V 0 1869 R 0 -63 V stroke 3362 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 16)] ] -46.7 MCshow 1.000 UL LTb 1.000 UL LTb 714 420 M 2648 0 V 0 1932 V -2648 0 V 714 420 L LTb 140 1386 M currentpoint gsave translate 90 rotate 0 0 moveto [ [(Helvetica) 140.0 0.0 true true 0 (Total simulation time [s])] ] -46.7 MCshow grestore LTb 2038 70 M [ [(Helvetica) 140.0 0.0 true true 0 (Number of simulation run)] ] -46.7 MCshow 1.000 UP 1.000 UP 1.000 UL LT0 LTb 2711 2219 M [ [(Helvetica) 140.0 0.0 true true 0 (2 TCP connections)] ] -46.7 MRshow LT0 2795 2219 M 399 0 V 880 1519 M 165 -396 V 166 66 V 165 -66 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 880 1519 Pls 1045 1123 Pls 1211 1189 Pls 1376 1123 Pls 1542 1123 Pls 1707 1123 Pls 1873 1123 Pls 2038 1123 Pls 2204 1123 Pls 2369 1123 Pls 2535 1123 Pls 2700 1123 Pls 2866 1123 Pls 3031 1123 Pls 3197 1123 Pls 2994 2219 Pls 1.000 UP 1.000 UL LT1 LTb 2711 2079 M [ [(Helvetica) 140.0 0.0 true true 0 (10 TCP connections)] ] -46.7 MRshow LT1 2795 2079 M 399 0 V 880 1816 M 165 -82 V 166 67 V 165 -108 V 166 -30 V 165 -106 V 166 290 V 165 -290 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 880 1816 Crs 1045 1734 Crs 1211 1801 Crs 1376 1693 Crs 1542 1663 Crs 1707 1557 Crs 1873 1847 Crs 2038 1557 Crs 2204 1557 Crs 2369 1557 Crs 2535 1557 Crs 2700 1557 Crs 2866 1557 Crs 3031 1557 Crs 3197 1557 Crs 2994 2079 Crs 1.000 UL LTb 714 420 M 2648 0 V 0 1932 V -2648 0 V 714 420 L 1.000 UP stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%EndDocument @endspecial Fi -189 1388 a(Fig.) 24 b(5) 64 b(T) -5 b(otal) 24 b(simulat) r(ion) g(time) g(vs.) 41 b(number) 24 b(of) g(simulat) r (ion) g(run) g(for) g(tw) o(o) g(TCP) 30 1495 y(conne) r(ctions) 18 b(and) f(ten) h(TCP) f(connec) r(tions) g(in) h(the) f(homogen) r(eous) g(case.) -189 3088 y @beginspecial 50 @llx 50 @lly 230 @urx 176 @ury 2450 @rwi @setspecial %%BeginDocument: figure/random-level0/20-2-1-1-100-rho-T.eps %!PS-Adobe-2.0 EPSF-2.0 %%Creator: gnuplot 4.0 patchlevel 0 %%CreationDate: Sat Feb 4 02:13:36 2006 %%DocumentFonts: (atend) %%BoundingBox: 50 50 230 176 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color true def /Solid false def /gnulinewidth 10.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop /MFshow { { dup 5 get 3 ge { 5 get 3 eq {gsave} {grestore} ifelse } {dup dup 0 get findfont exch 1 get scalefont setfont [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 get exch 4 get {show} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop pop aload pop M} ifelse }ifelse }ifelse } ifelse } forall} bind def /MFwidth {0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont 6 get stringwidth pop add} {pop} ifelse} forall} bind def /MLshow { currentpoint stroke M 0 exch R MFshow } bind def /MRshow { currentpoint stroke M exch dup MFwidth neg 3 -1 roll R MFshow } def /MCshow { currentpoint stroke M exch dup MFwidth -2 div 3 -1 roll R MFshow } def end %%EndProlog gnudict begin gsave 50 50 translate 0.050 0.050 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 714 420 M 63 0 V 2585 0 R -63 0 V stroke 630 420 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0)] ] -46.7 MRshow 1.000 UL LTb 714 662 M 63 0 V 2585 0 R -63 0 V stroke 630 662 M [ [(Helvetica) 140.0 0.0 true true 0 ( 50)] ] -46.7 MRshow 1.000 UL LTb 714 903 M 63 0 V 2585 0 R -63 0 V stroke 630 903 M [ [(Helvetica) 140.0 0.0 true true 0 ( 100)] ] -46.7 MRshow 1.000 UL LTb 714 1145 M 63 0 V 2585 0 R -63 0 V stroke 630 1145 M [ [(Helvetica) 140.0 0.0 true true 0 ( 150)] ] -46.7 MRshow 1.000 UL LTb 714 1386 M 63 0 V 2585 0 R -63 0 V stroke 630 1386 M [ [(Helvetica) 140.0 0.0 true true 0 ( 200)] ] -46.7 MRshow 1.000 UL LTb 714 1628 M 63 0 V 2585 0 R -63 0 V stroke 630 1628 M [ [(Helvetica) 140.0 0.0 true true 0 ( 250)] ] -46.7 MRshow 1.000 UL LTb 714 1869 M 63 0 V 2585 0 R -63 0 V stroke 630 1869 M [ [(Helvetica) 140.0 0.0 true true 0 ( 300)] ] -46.7 MRshow 1.000 UL LTb 714 2111 M 63 0 V 2585 0 R -63 0 V stroke 630 2111 M [ [(Helvetica) 140.0 0.0 true true 0 ( 350)] ] -46.7 MRshow 1.000 UL LTb 714 2352 M 63 0 V 2585 0 R -63 0 V stroke 630 2352 M [ [(Helvetica) 140.0 0.0 true true 0 ( 400)] ] -46.7 MRshow 1.000 UL LTb 714 420 M 0 63 V 0 1869 R 0 -63 V stroke 714 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0)] ] -46.7 MCshow 1.000 UL LTb 1045 420 M 0 63 V 0 1869 R 0 -63 V stroke 1045 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 2)] ] -46.7 MCshow 1.000 UL LTb 1376 420 M 0 63 V 0 1869 R 0 -63 V stroke 1376 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 4)] ] -46.7 MCshow 1.000 UL LTb 1707 420 M 0 63 V 0 1869 R 0 -63 V stroke 1707 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 6)] ] -46.7 MCshow 1.000 UL LTb 2038 420 M 0 63 V 0 1869 R 0 -63 V stroke 2038 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 8)] ] -46.7 MCshow 1.000 UL LTb 2369 420 M 0 63 V 0 1869 R 0 -63 V stroke 2369 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 10)] ] -46.7 MCshow 1.000 UL LTb 2700 420 M 0 63 V 0 1869 R 0 -63 V stroke 2700 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 12)] ] -46.7 MCshow 1.000 UL LTb 3031 420 M 0 63 V 0 1869 R 0 -63 V stroke 3031 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 14)] ] -46.7 MCshow 1.000 UL LTb 3362 420 M 0 63 V 0 1869 R 0 -63 V stroke 3362 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 16)] ] -46.7 MCshow 1.000 UL LTb 1.000 UL LTb 714 420 M 2648 0 V 0 1932 V -2648 0 V 714 420 L LTb 140 1386 M currentpoint gsave translate 90 rotate 0 0 moveto [ [(Helvetica) 140.0 0.0 true true 0 (Total simulation time [s])] ] -46.7 MCshow grestore LTb 2038 70 M [ [(Helvetica) 140.0 0.0 true true 0 (Number of simulation run)] ] -46.7 MCshow 1.000 UP 1.000 UP 1.000 UL LT0 LTb 2711 2219 M [ [(Helvetica) 140.0 0.0 true true 0 (2 TCP connections)] ] -46.7 MRshow LT0 2795 2219 M 399 0 V 880 1626 M 165 -216 V 166 -13 V 165 -49 V 166 -245 V 165 41 V 166 -41 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 165 0 V 166 0 V 880 1626 Pls 1045 1410 Pls 1211 1397 Pls 1376 1348 Pls 1542 1103 Pls 1707 1144 Pls 1873 1103 Pls 2038 1103 Pls 2204 1103 Pls 2369 1103 Pls 2535 1103 Pls 2700 1103 Pls 2866 1103 Pls 3031 1103 Pls 3197 1103 Pls 2994 2219 Pls 1.000 UP 1.000 UL LT1 LTb 2711 2079 M [ [(Helvetica) 140.0 0.0 true true 0 (10 TCP connections)] ] -46.7 MRshow LT1 2795 2079 M 399 0 V 880 2168 M 165 -376 V 166 -92 V 165 -36 V 166 -523 V 165 85 V 166 -85 V 165 0 V 166 0 V 165 0 V 166 0 V 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