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A Network Model for Simulation of Grid Application

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(1)A Network Model for Simulation of Grid Application Henri Casanova, Loris Marchal. To cite this version: Henri Casanova, Loris Marchal. A Network Model for Simulation of Grid Application. [Research Report] RR-4596, LIP RR-2002-40, INRIA, LIP. 2002. �inria-00071989�. HAL Id: inria-00071989 https://hal.inria.fr/inria-00071989 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A Network Model for Simulation of Grid Application Henri Casanova, Loris Marchal. No 4596 October 2002. ISSN 0249-6399. ISRN INRIA/RR--4596--FR+ENG. ` THEME 1. apport de recherche.

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(75)  C  "©Zi^    ¬ z|° • M P b P Gc mJZAn b y PklMPJ^`P b QR~€njb Pk ƒ²b%c Q ^ y M P´Y%~€Q„[j€ZiM ^%~ c n£ckjZi^%Z‡ ƒ c cAƒ M M y ZAnj çkl•_~€m kj^ n>M ^ ‡ ZA” nY`^J¦<ƒ ZA^ m=^JPN¦ P=~\^'hœklP PJhœ~€QPnŠPkjn>Y ^%ZAc  n¥^ZAM njPkl• h M~€kl_>^ Y%~ mJ~€ZAY¢,n €Zi^`^çPZ´njm=Y%_A~€QR¦ ZAhŠY'P Y`PJ[jPnŠn m=~€^%nU~ Fn ~‚|[ ^b P PNq h ‡ ” _n§Y%~€^ mJM ZAP  7Šƒ ‚|[ b PA¦ec ^ M PçmJ~ b mJPY b PJh b PY`Pn>^,^ M PçP=\>hCP b ~€QPn>^%ZA<kjZi^%Z¦AZAnjk´^ M PçY%[ b"ƒ ZAm=PçhŠ c ^%Y,^ M P ƒEc € c •~€nl‚ [jnjm=^%~ n 6 #ž

(76)  C QR~€n ¬  #ž    "ŸZi^  ° ¬3 ° •LMM P b P yC§c ZAnjk ƒ  mJZAcn y P´kjPJ^`MP b QR~€nlPk b ƒEb%c Q^ M PY"~€Q„[j€Zic ^%~ c n]kjZib^%Z‡ ƒEcAb b PY%[jP£^%Z YJ¦œY`™sPJP P 5 [jhjnjhCm=^%P~ njkjn@~ \ 7j^%5 Y´° ^ ‡ LNP£M P=~€\YNhœY"P [l‚A~€Q‚APPY`n>^%^%Y ZA^ M kjZiZi^J^%¦œZ§PJ™sh Pn~€n>~€n§^P=Z \>n^ c PnQ¤m Pc _ nj‚A•˜PY`P^`€P k ¬ m c n<P=^`\>P=^`\P^Jnj¦Ckj^ PM k P y ZAnjkl•~€kj^ M ~€Y0€~ QR~^`Pk y _–Z  [ŠZAn<^%~€^È_^ M Zi^¢~€Y0~€n>™|P b Y`P€_xh b%c h cAb ^%~ c njZA>^ c ^ M PN€Zi^`PnŠm=_A‡¢wxnlP mJZAnv^ M Pn 7Šnjk›ZAnvP  [jZi^%~ c n ƒ²cAb P=\>hCP b ~€QPn>^%ZAC™iZA€[lPY6  ° #ž   C QR~ n,¬J çž "© Zi ^   . . XBXµêZY [\+]>^.

(77) S=q. . 8 #DC#%/ #  # '1 Q #. 6. 5. Lat_exp (s). 4. 3. 2. 1. 0 0. 0.1. 0.2. 0.3. 0.4. 0.5. 0.6. 0.7. F~‚|[ b P 3 6 ¢\>hCP b ~€QRPn<^%ZA$€Zi^`PnŠm=_XZAYZ ƒ [Šnjm=^%~ c n cAƒ ^ M Pxh M _>Y"~€mJZA$€Zi^`Pnjm=_A‡ Lat_NS (s). éHG X©éJI.

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(81) %& ')(* +,-*../0,1#2 %. Sr. BW_exp (B/s). 1e+06 900000 800000 700000 600000 500000 400000 300000 200000 100000 0. 1e+06 800000 600000 400000 200000 BW_NS (B/s) 0. 0.1. 0.08. 0.06. 0.04. 0.02. 0. Lat_NS (s). F~‚|[ b Pq;6 ¢\>hCP b ~€QRPn<^%ZA y ZAnjkl• ~€kl^ M ZAY±Z ƒ [jnjm=^%~ c n Ac ƒ h M _Y%~€mJZAŠ Zi^`Pnjm=_ ZAnjk y ZAnjkj•~€kl^ M. ™iZA€[lPY‡. XBXµêZY [\+]>^.

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(83) çc ž  C c  M çž M ~€b YN^ M P´ƒ b:QRb Ze\l~€Q„[jQ c y ZAnjkj•~€kl^ M ZAy m M ~PJM™eZ y P c nv^ M P” €~€n —£b y _ Z m nŠnlPm=^%~ n¥• Pn¥^ P–^ ZAnjY P Zi^`P~€Y'n ^'~ QhŠZAm=^`Pk _›^ P€Zi^`Pnjm=_A‡ n§h ZAm7 ^%~ m=PA¦ ƒ²b cAb Z›c  c Jm ZAM  ¤Z b PZ›— €~€n — ¦œ^ M ~€Y'™eZA [lP–m c [Š€k y Pm c b QhŠ[j^`Pk¥ZAY:^ ® M P„Q ¯ Ze\b ~€Q„[jQ c cAb y Y`P b ™|P° k kŠLZiM ^%Z Zi^`P b'n§yCc ^ P„ ~€cAn ƒ ¬EM PA‡å‚ly ‡–Q Ze\~€Q„[jM Qµ™e ZA [lLNPL PJ° ™sP Y`PJyPn ~€ƒEnc ZAn ž c ^ cAZAƒ m=P M ™sP ƒEcAb ^%~ QP ‡ P[lhjhCP [jnjk ^ P ZAnjkj•~€kl^ ¬ U mJZAn P [jnjk ~€n nlP ^ P Q„[j€ZAY kjPJ™|P c c hCPkªLN~€M n ? S M A ZAYc  c  U LNL y ¦• M P  b P y   M ~€Y´^ M K

(84) P M%T~ ‚ M P b Y%~$M HJP cAƒ ^ M P£m c M nl‚APy Y`^%~ c n • cAƒ ~€njMk •b%c ‡ ~€Y˜hM Pn QPn — n›mJZAcAnƒ M PxP=\c hŠ€ZA~€n c _£^ P N c b PNQPm ZAnj~€M Y%Qc 6~ nX^ P PJ‚|~€cAn ƒ ^ P [jnjk,¦<^ P hŠZAm PJ^%Y ^ Pxm nl‚APY%^%~ nX•~€njk • Z PxY`Pn>^˜•~^ [l^˜ZAn>_ nlPJPk ZAm — n c • Pb kl‚AP'hŠZAm — ƒ²PJcA^Jb‡ c LNM Pn]cAƒ n c„M c ^ M P b hŠ—ZAm — PJ^%Y˜LNmJMZAn y Px— Y`Pn>c ^˜[jn>^%~€j^ M P 7 b b Y`^çZAm — n c c •€Pklb%‚A— P= QRPn<^~ Y Pm=P~™|Pk nlP ^ PY`P£hŠZAm PJ^%YJ‡ ~€YxZAm n •€Pkl‚APQPn>^ Pm=PJhj^%~ n QRZ Y ^ c„M P y y PJ‚|M ~€nŠnjb%c~€nl‚ cAƒ bZ›nlP=\^ b%c [jnŠk ‡ ” n ^ M ~€Y:Q c klM PЦ,^ LNM PL kj[ c b Zi^%~ c c n cAƒ Z b"c [jnjcAƒk ~€M YxZAY%Y%[ŠQc Pk ^ PxL^ M P M [jnjcklÊM^ ~h ^%~ QPA¦lZAnjk]•#PxZAc Y%Y"[jQP'? ^ A ~€Y˜U k PY±d n ^˜kjPJhœPnjk M ^ P:•cA~€ƒ njk c • Y"~$LNHJPAL ‡ ~€MY M_>h ^ M PY"~€Y±~€Y[ŠY%M[jZAb€_]ZAk hj^`Pk c S ZAnjM kY`PJPQRY cAƒ [jY%^%M ~$7jPk›~€n›b±^ yCP´c mJZAY`P  nl‚ U YJ¦l• ~€m ~€Y˜^ PmJZAY`P´• P Px•˜PmJZAnvn ^%~ m=P^ PxPR$Pm=^ ^ ~€Y±[lhjhCP [jnjk ‡ !.  ( &. *  (* :-3 * :  5

(85)   . . c Lb L c c cAƒ c c cAƒ L ¡ a b LNL ° ƒ ƒU P b YJ[j‡ njkLN M P]~h U LNL ~€QR~ PxY¬÷klU P7œnlPk ~€Y0ZAZ Y–^[jM njP]kjZA^%~€QQPP n>^%y ZAPJ>^šm •˜PJQPnh Y`nlPPnjn>kj^ ~€nj‚Q ZhœY`^¢ZAm Q — PJ^„kjPZA€njY k b Pm=P~™~€^nl‚¥ZAnŠ~^%YàY ” — c cAƒ M — M LNL M c y c M ƒEZAcAm b nZ b%• c [lP^`klPx‚AmPcQQPhn>^Jc ‡ Y`Pkn>^%cA[jƒ ~^%Z„~€™|Y%P~ nl_A‚|¦|^ P:€Px~€n U — ¦<ZAnjYk]^š• [Šc€k ^%~€QRP:P^ÈY˜• ^ M ^%Px~€QY%[jPQ Y#^ cAƒ PxZA€€ZiC^`€P~€nnj—m=_ €Zi^`P^njmJPx~P€Y ~€n ƒEcAb ¦ ZcAƒ b%c [l^`b PN‚ c ƒ ~ nlb ‚^ M b%c [j‚ M Y`PJc ™|P b ZAŠ€~€n — YJc ‡ LNb M P R¶]Y"~€Q„[j€Zi^ b cAb ZA€ c •­c [jM Y^ b c QM PZAY"[ cb PN^ MM P Ub LL c cAƒ UZ„LN^ L ZAnj^ Y c P h M ¦l_ZAY%nj~€mJk]ZA•˜l€P:Zi^`hŠP njm=^±_Y%~€ZAQ„Yç[jZ €Ziƒ [j^%~ njm=n ^%~ c Pn Y%[ŠcAƒ ^%Y˜€~ ~€n n)—´Fy ~ZA‚|nŠ[ klP•~€r kl‡ ^ M ‡ ^LNM ‚P€ZiP h ƒ ^%Q Y#c hŠY% ^¢^#‚ b ^ Zih P M mZicA^%~b  b PY`h c nŠkjY¢^ c Z–Y%~€nl‚|P nlPJ^ȕ cAb%— €~ n — ¦<• M P b PZAYç^ M P b ~‚ M ^%Q c Y`^ c nlP'm cAb"b PY`h c njkjYç^ c Z–m M ZA~€n cAƒ Y`PJ™sP b ZA©¬÷[lhR^ c S z|° nlPJ^š• cAb%—  ~€n — YJ‡ ” n yCc ^ M mJZAY`PYJ¦<^ M PU LN L   Zi^`Pnjm=_ b Zi^%~ c ~€Ym c njY`^%ZAn>^ ƒEcAb h M _>Y%~ mJZA y ZAnjkl• ~€kl^ M ™iZA€[lPY c ™|P bNzi{A{   YJ‡ LNM P kŠZi^%ZPZAkŠY^ c ^ M P ƒ²c € c •~ nl‚Q c kjP ƒEcAb U LNL ¦l^ M PU LL ƒ²cAbb%c [l^`P "6 U LL  C

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(87) C ¨{ c Sv~ YRZªb Q„[jM ^%~hœ€~€mJZi^%~™|P ƒ ZAm=^ cAb ƒ • M cA~€m b M •#c PvZi^`c ^ b ~ y [l^`PX^ c R¶ b%ZAcAnjy k M Zg™sP›c _|PJb^ ^ c P=\>hŠ ZA” ~€n ‡ •˜c PJ™|bP y ¦,^ ~€YxQ„[jM ^%~hŠM  ~€mJb Zi^%~™|P b ZAm=^ k PY´n ^mJM ZA[jY`P M ZAn>_¥hb b%c PQ cAb ~€n c [ Q c klM PЇ LNnjLklPJPk ¦ [ M ZAnŠƒ kl•~€cAklb ^ Y Z ~€nlc‚h ° ~€njmJ~hœP [jY%PY•˜P~‚ ^%Y˜^ Zi^:Z P´h h ^%~ njZA ^ ^ LNPM U ƒ ¬÷~Ðc ‡åPA‡¢^ b P

(88) M ZAm=^ mJZAb njm=P€Y [lM ^ c ‡ ƒEcAb {A{ b M — ~€n ¦Ÿ• P´M c P Y`P]^%Q m M Y`Z ^ b ZA‚ m=^`ZiP h b ~€Y`^%~€~€n mJY–FZ ~‚|b P [ b P ZAnjr k ~ c YQRY €_ª•m Y M c kjY%ZiP^%n Z y PJ^ȕ˜S PJPn P=\S { hœQRP Y„~€QZAPnjn>k ^%Y±S {A•{ ~QR^ Y Z ƒEcAY%b ~ nl^ ‚|M PP  Zi^`Pnjm=_A¦ZAnjk y PJ^š•˜PJPn { Sf  Y›ZAnjk S {A{ f  Y ƒ²cAb ^ M P y ZAnjkl•~ kl^ M ‡ LNM P b ~‚ M ^%Q c Y`^ . . . éHG X©éJI.

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(92) %& ')(* +,-*../0,1#2 % 1. S. 1 ’lat_rtt.1link’ using ($2):(f($6)/($5)). ’lat_rtt.12links’ using ($2):(f($28)/($3)). 0.6. 0.6 RTT/Lat. 0.8. RTT/Lat. 0.8. 0.4. 0.4. 0.2. 0.2. 0 0.1. 0 0.1. F~‚|[ b bP:c r 6¢U Zi°ç^%~c c–cAƒ U LNL c ™sP — b h M _° Y%~€mJZAM œ€Zi^`PcAnjƒ m=_ ZAY±b Z ƒ [jnjm=^%~ c c n cAz|ƒ ° ^ M P — y ZAnŠkl•~€kl^ M ~€n ^š• c Y"m=PnjZ ~ Y6 ¬÷~ nlPY%~€nl‚|€P: ~€n $¬÷~€~ Z m ZA~ n Y`PJ™sP ZA¬÷[lh›^ S €~€n YJ‡ 1. 10. 100. 1. BW (MB/s). 10. 100. BW (MB/s). ‚z b Zic h M z c nv^ —M P´Y%ZAM QP7j‚|[ bM PY M b c •Yc kjZi^%Z ƒEcAM b c S {A{ ° P=\>LNhCM P b ~€QP—n>^%Y M c n§b Z b%c b [l^`P´‚ c ~€nlb ‚R^ M b"c [l‚ M ^ S €~€n Y¬E^ P–Pnl‚A^ ~ Y ZAnjk QR_Xm Y%Pn ‡ P´€~ n m Z ZAm=^`P ~€Y`^%~€mJYNZ PY%ZAQhœPk Y"~€QR~€5 €Z b _„^ c ^ M P´Y%~ nl‚|P:€~€n — mJZAY%PA‡ b P r ¦>^ M P P  [jZi^%~ c nXZ yCc ™|P 7j^%Y#^ M P R¶XY%~ Q–[Š€Zi^%~ c n y PJ^`^`P b±ƒ²cAb Y`PJ™sP b ZA ˜ Y ` Y J P  P X n € ~ n  F  ~ | ‚ [  ~€n — Y#¬÷[lhb ^ b c S z ¦ b ~‚ M ^%b Q c Y`^Ž¨ ‚ c b Zih M ° b ^ M M ZAn ƒ²cAb0c njPNY%~€nlc ‚|P˜€~€b n — ¬÷c P ƒ ^%Q c Y`^‚ b Zih M M c ° ‡ LNM ~€YŸQ c Zg_ cY%PJnªPQ+^ M PRY%[ €~€hn — ~€YY"6:~€nlm ‚:c Zinl^O‚AP7 Y`^%Y`~ ^Jc ‡ n nlPJ•#™|PPJb™sP M Zi¦shŠ^ hœPPY%njP'Y‡!Y%~ Q–F cA[Šb´€Zic ^%nl~ PRnj€Y~ n Z — P:¦ ~m ƒ ^njM kjP [jm=€Zi^`P^`Pk nŠ•m=_¥~^ ~€Y:[j™s^P b ZA_§n>_„Y%Q  ZAZA€kЦ PR$Pm=^%Y#Y%[jm M ZAY^%— ~ QPY`hCPn>^~€n^ M b P nlPJ^Èc • cAb%— LN M [lPb [lPƒEY¢cAb Z b P n c ^%~€m=PZb y PA‡ ” n — ^ M PY`PM Y%~ Q–[ŠM €Zi^%~ c njY •˜cAƒ P›Y%ZAQb hœPk €— ~€n  Zi^`PnjmJ~PYy Zi^ c ZAnŠk Q›‡ P P cAP›b%— ~^R ~€Y„™|P _ [jnj ~ Pb _ ^ Zi^c ^ PvY"[jQ b Y`PJ™|P ZA#€~€n Y–M €Zi^`Pnjc mJ~PY P›Y b Y%QRZA€Ц0ZAnjk nlPJ^š• [lP[lP›klP€Z4_>Y–Z P›ZA€Q Y%^„njPJ™|P Y"~‚|nj~$7ŠmJZAn>^˜~€nX^ PY`Pm nŠk›P=\>hCP ~€QRPn<^J‡ ž y Pn c • M m c M njY"~€M klP b b Z£M Y%m=PnjZ cb ~ c ~€n›• M M~ m M ^ M P b P´cAƒ ~€YNm c nl‚APY%^%~ c n ‡ ” nc ^ M M~€YNmJZAY%PA¦œ^ M PU LL mJZAn PRQ„[jm ~‚ P ^ Zi^x^š• ^%~€QPYx^ PRY"[jQ  Zi^`PnjmJ~PYJ¦©kŠ[lP„^ ^ P^%~€QPRY`hCPn>^x~€n ^ MM PRnlc PJ^ȕ c cAc b%—  [jP[lPYJ‡VF cAb P=\ZAQb hœPA¦ F~‚|M [ b  P u Y M cb%c• Y:^ M PRc U LNL M™|b%P cb Y"[jY:M ^ 3 M PR€Zi— ^`Pnjm=_ M ƒEcAb b ^c P^ h  M ‚A_§b kjPJhŠ~€m=—j^`° Pk¥LN~€Mn9F~‚|[ b P ¦$c •~^ {A{A{ Cor b [l^`PY'‚ ~€nl‚]^ c [l‚ ƒEcAb€~€n y Y´¬E• P M P njP ~€Y¢Z–Y Z PkR€~€n ‡ ~€b YG7Š‚|[ c PNhŠy  ^%YNS {P=\> hCP  ~€QPn>^%ZAj{ kŠZi^%Z h ~€n>^%Y y ZAnjkj•~€kl^ ZAnŠkG Zi{A^`{ Pnjm=_ LY%ZAM Qhœc Pk c Zic ^ ZAnŠk y Q PJ^š•˜PJPn r b Y M ZAnjkGc r f YJ¦˜y ZAnjk M PJ^š•˜PJPn cAb SJQ Y ZAnŠkS QRYJ‡ P^ h  ‚A_•~€  P'klPJ^%ZA~€Pk €Zi^`P ~ n^ ~€Yçk mJ[jQRPn<^J¦ [l^¢^ P ~€Qh ^%ZAn>^ hb c ~€n>b ^ M P b P~€MY^ M Zib ^'Q c ZAn< _   c •Y'c m c QhCPJ^`P c ™|P z b Z£Y%~ ° nl‚|P yCc ^`^%PnlPm — €~€n — ‡ LNM P–Y c €~€k§€~€nlP PJh PY`Pn>^%Y˜^ Pxh PJ™>~ [ŠYçP [jZi^%~ n ¬ C

(93)   ‡ b c LNM b y M c M b L L  y PZ±h b%P:cAy kj~SPR$Q P ƒEPcAnjb m=^ PM Y P¢™iPJZA^š€•˜~€kŠPJZiP^%n ~ c ^ n PxcAƒ>Q c [ klb PQ $cZAkjnjPk£Ї ^ LNP:M P=P \>ƒ hC[jP nŠkj~€QZAQPn>P^%n>ZA^%œZAU  [jPY`^%€~Zic ^`nxPnj~€Ym=6,_ Y M Zic ^%[j~ €k'mJ•˜ZAn P . XBXµêZY [\+]>^. -.

(94) S‰. . 8 #DC#%/ #  # '1 Q #. 100. 90. 80. 70. RTT. 60. 50. 40. 30. 20. 10. 0 0. 20. 40. 60. 80. 100. FŽ~€‚|[ b P´u 6U LNL ™sP b Y%[jY˜€Zi^`Pnjm=_›~€n›Zm c nj‚APY`^`Pk§njPJ^ȕ cAb%— ‡ Lat (ms). éHG X©éJI.

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