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Load-Balancing Scatter Operations for Grid Computing

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(1)Load-Balancing Scatter Operations for Grid Computing Stéphane Genaud, Arnaud Giersch, Frédéric Vivien. To cite this version: Stéphane Genaud, Arnaud Giersch, Frédéric Vivien. Load-Balancing Scatter Operations for Grid Computing. [Research Report] RR-4770, LIP RR-2003-17, INRIA, LIP. 2003. �inria-00071816�. HAL Id: inria-00071816 https://hal.inria.fr/inria-00071816 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. Load-Balancing Scatter Operations for Grid Computing St´ephane Genaud, Arnaud Giersch, Fr´ed´eric Vivien. No 4770 March 2003. ISSN 0249-6399. ISRN INRIA/RR--4770--FR+ENG. ` THEME 1. apport de recherche.

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(161) ãa mr”•dugi–—mrx " ­ê¢M¢M¢M­ " giTb@gꪳXk mrduxVv[dutYg mmrœug™b@–•xb@x[–•x“g X3‡}X3kãa mr”•dugi–—mrx " " ­¢M¢M¢M­ " " ª§–•giT  " " #" ¢ OX3g " œ7X giTVX{XLefXMw3dugi–—mrx´gi–•WYX/m@¦¡giTu–—a

(162) a™mr”•dugi–—mrxO­ œ7XgiTVXgi–•WYX/m@¦¡giTVXk™b@gi–—mrxb@”a mr”•dugi–—mrxO­b@xVv

(163)  giTVX.gi–•WYX[m@¦ãgiTVX?mrtugi–•W[b@”³–•x“g X3‡}X3k/a mr”•dugi–—mrxO¢[¼¦  " " "  '.¦Ómrkb@x h ™­Oª§Tu–—w™T¹–—aXcbrai–•”•h X3xf¦Ómrk wMXMvœ h>giTVXk mrduxVvf–•xu‡"a w TVX3WYX/vuXMa w3ki–•œ#XMv¨œ#X3”—m®ª­ugiTVX3xO° . . . . . . . . . iji l ð kmAnnpo.    . ". ". .  .  .   . . .     . G $. '. N. I . . G.   ! #"%$. ' N

(164). 6 | ±.

(165) Zcƒ. l( 10    Y() *%   3D . ¼ÌxVvuXMXMv9­. " . fãhqT“h;t#mrgiTVXMa –—ac­.   . ¦½duxVw3gi–—mrxVac¢lSTVX3k XL¦Ómrk X­. . I .    . G. $ &. . ".   !. G $ "  N .   . G $ "  N).   .  . b@xVv N. ". . . G.   . G $ ". .   . G $ ". .   . .   . 6 }±. b@k X?xVmrxf›xVX3‡“b@gi– "}X­‹–•xVw3k Xcbrai–•xu‡V­‹b@xVv©b]eYxVX N. $ &. ". G "  N ,

(166).   ! #"%$. G" ". . . G $ "  N. G $ "  N. . " . ".    . "  ^N N "  N  G  $  "   G  $ ' N. ". "  N. @b xVv¨ª³XTb "}X{b@x XM¶ du– "rb@”—X3x gdutut7X3kœ#mrduxVv¦½mrk G "  " N ¢sai–•xu‡?giTVXMa Xdutut7X3kœ7mrduxVvua " g m?m$"}X3ko›Ìb@tutuk mMef–•W[b@g XgiTVXXLe;tuk XMa™ai–—mrx¨m@¦ ‡– "}X3x¨œ hºl¶“db@gi–—mrx 6 }±ãª³Xmrœug™b@–•xO° (  !. $. . . ".  . I . G . . G $ "  N.  . .  . G.   . . ª§Tu–—w™Tš–•W?tu”•–—XMa"ºê¶“db@gi–—mrx 6 | ±?·;xVmcª§–•xu‡¸giTb@g  I   G. . . . "Ä Å   !qŠ®# À  À. G $ "  N).    . $. '. N^N.

(167)   G "%$ " ]N^N ¢ #.   !. . G " ] N).   ! #"%$. . "­. . '. . G.   ! #" $.

(168) . ' N . 6 }±. ­b@xVv ¤Vxb@”•”•h giTb@g. ]£ duk¡k mrduxVvf–•xu‡{a w TVX3WYX§–—agiki– ";–žb@”°¤Vk aigª³X§k mrduxVv9­“g mÆgiTVXxVXcb@k XMaig¡–•x“g X3‡}X3kc­ giTVXxVmrx?–•x“g X3‡}X3k " ª§Tu–—w TŸ–—axVXcb@k XMaigg m¨b@x –•x g X3‡}X3kc¢ %Æmr–•xu‡ a mªãXYmrœug™b@–•x " " b@xVv‚ª³X?W[b@·}X[b@xGb@tutuk mMe;› –•W[b@gi–—mrx X3kik mrkYm@¦ !  " " !" 6 ª§–•giT  !   '®±L¢¸¼ë¦ ! –—a.xVX3‡“b@gi– "}X 6 k XMaitO¢Gt#ma –•gi– "}X®±L­ " ªbra§duxVvuX3k XMaigi–•W[b@g XMv 6 k XMa tO¢lm "}X3k XMaigi–•W[b@g XMv±§œ“h>giTVXb@tutuk mMef–•W[b@gi–—mrxO¢³STVX3xªãXÆk mrduxVvg m –•g aÆwMX3–•”•–•xu‡ 6 k XMaitOF¢ _m mrkF±L­9mrxVX.m@¦ãgiTVX{k X3W[b@–•xu–•xu‡ "  aƪ§Tu–—w T –—asgiTVX.xVXcb@k XMaigÆg m"–•g awMX3–•”•–•xu‡  "  6 k XMa tOa ¢ _m mrk C "  E ±L­lª³Xmrœug™b@–•x b´xVX3ª’b@tutuk mce;–•W[b@gi–—mrx X3kik mrk.m@¦ !  ! #" " "  6 ª§–•giT  !   '®±L­b@xVv¹a m¨mrxŸdux“gi–•”êgiTVX3k X>mrxu”•h‚k X3W[b@–•xVag m´b@tutuk mce;–•W[b@g X>mrxu”•h mrxVX[m@¦giTVX " ac­#a™bMh " ¢STVX3x‚ª³X”—X3g " "  " ! ¢ÆSTVX.vf–—aigiki–•œudugi–—mrx " " ­¢M¢M¢M­ " " –—asgiT“dVaƖ•x“g X3‡}X3kc­    " "  ­Vb@xVv¨Xcbrw T " " vf5– 49X3k a¦Ik mrW " œ h>”—XMa agiTb@x mrxVX¢ . . . . . . .   .  . . . . . 0 &( #  & $'0  ,.&& $ / ,.&# ! &+,. ‘ {X W[b@·}XgiTVX?bra aiduW?tugi–—mrxqgiTb@gc­9mrki–•‡–•xb@”•”•h}­7giTVX " vVb@g™b>–•g X3WYa]giTb@gÆW{dVaigƜ#X{tuk m wMXMa™a XMv b@k Xaig mrk XMv?mrx[bsai–•xu‡”—X§wMmrW?tudug X3kc­ vuX3xVmrg XMv

(169) ¢ ? tuk m wMXMa a™mrkm@¦

(170) "W[bch{mrk¡W[bch{xVmrg¡œ7XãdVa XMv ï87 «i ï:9.

(171) Zc„.  

(172)    !"#$$"%'&()* ,+-./!102$34. bra/giTVXYk m;mrgtuk m;wMXMa a mrkc¢¼¦giTVXYk m;mrgtuk m;wMXMa a mrk–—a/xVmrg{mrx

(173) ­giTVX3xŸgiTVX[ª§TVmr”—X[XLeuXMw3dugi–—mrx gi–•WYX–—asXM¶“db@”g m>giTVX/gi–•WYXxVXMXMvuXMvqg m"gik™b@xVao¦ÓX3k]giTVXvVb@g™b[¦Ik mrW

(174) ©g m>giTVX/k m;mrgÆtuk m wMXMa™a mrkc­ tu”•dValgiTVX§XLefXMw3dugi–—mrx?gi–•WYX

(175) bra¡wMmrW?tudug XMvYœ“h.mrxVX§m@¦#giTVXtuk X ";–—mrdVaêb@”•‡}mrki–•giTuWYa³b@xVv.TVX3duki–—a gi–—w¢ STVXsœ7XMaigk m mrgtuk m;wMXMa a mrk§–—aãgiTVX3xgiTVXÆtuk m;wMXMa a mrkW?–•xu–•W?–•¬M–•xu‡YgiTu–—aª§TVmr”—XXLeuXMw3dugi–—mrxgi–•WYX­ ª§TVX3xtu–—w™·}XMv¨brak m mrgc¢¡STu–—a㖗a‹nodVaig³giTVXsk XMaidu”•g§m@¦‹b{W?–•xu–•W?–•¬®b@gi–—mrx¨$m "}X3k§giTVX ¨wcb@xVvf–—vVb@g XMac¢ .  

(176) $ $u#-{y$   ™*7™{

(177) »o ™ {¡ ‹

(178) + +’- {™#  { ]+,-/™ F+ ¡$ ¼ÌxqgiTu–—aa XMw3gi–—mrx ª³X?aigidVvfhqb>a –•W?tu”—XYb@xVv´giTVXMmrk X3gi–—wcb@”³wcbra X¢STu–—awcbra X.aigidVvfh ª§–•”•”lX3xb@œu”—X dVag m?vuXL¤VxVX/b.t7mr”•–—w3h"mrx¨giTVXmrk vuX3k

(179) –•x¨ª§Tu–—w T¨giTVXtuk m wMXMa a™mrk a§W/dVaig

(180) k XMwMX3– "}XgiTVX3–•k

(181) vVb@g™bf¢ ‘ X>W[b@·}X"giTVX"T“h;t7mrgiTVXMai–—a.giTb@g[b@”•”³giTVX"¦½duxVw3gi–—mrxVa G "0N b@xVv G "0N b@k X ”•–•xVXcb@k

(182) –•x " ¢¡¼ëx´mrgiTVX3kª³mrk vuac­Vª³X{bra™aiduWYXÆgiTb@ggiTVX3k X{b@k X/wMmrxVaig™b@x“g

(183) a b@xV v aidVw T giTb@g G "0N:  " b@xVv G "0N  " ¢ ? ”—a mu­ª³X

(184) mrxu”•h{”—m;mr·/¦ÓmrkêbÆk™b@gi–—mrxb@”a™mr”•dugi–—mrx b@xVv¨xVmrg

(185) b@x¨–•x“g X3‡}X3ksmrxVXbra§ª³Xa TVmrdu”—v9¢ ‘ X§aiTVmcª˜–•x T;XMw3gi–—mrx?|V¢Ù„sgiTb@gc­–•x?giTu–—a¡ai–•W?tu”—X§wcbra™X­giTVXãtuk m wMXMa a™mrklmrk vuX3ki–•xu‡”—Xcbrvf–•xu‡g m giTVXÆaiTVmrkig XMa gãXLeuXMw3dugi–—mrxgi–•WYX]–—a¶ du–•g XÆai–•W?tu”—X-¢ fXL¦½mrk XsgiTb@gª³Xstuk m "}Xs–•, x T;XMw3gi–—mrx|V¢Ùƒ{giTb@g giTVX3k Xb@”•ªbMhfa?–—aYb@x˜mrtugi–•W[b@” 6 k™b@gi–—mrxb@”R±a mr”•dugi–—mrx˜–•x¸ª§Tu–—w T b@”•”giTVX"ª³mrki·;–•xu‡ tuk m wMXMa a™mrk a Tb "}XgiTVXaFb@WYXX3xVvf–•xu‡[gi–•WYX¢ ‘ X/b@”—a mYa TVmcª giTVX/wMmrxVvf–•gi–—mrx¨¦Ómrk]b.tuk m;wMXMa a mrkg m?k XMwMX3– "}Xb a Tb@k Xêm@¦VgiTVXlª§TVmr”—X³ª³mrki·7¢ ? a«giTu–—awMmrxVvf–•gi–—mrx?wMmrWYXMa«¦Ik mrW¯giTVX³XLeftuk XMa ai–—mrxm@¦fgiTVXãXLeuXMw3dugi–—mrx vfduk™b@gi–—mrx.ª§TVX3xYb@”•”ftuk m wMXMa™a mrk a«Tb "}Xg m

(186) tuk m;wMXMa a¡b]aiTb@k X³m@¦giTVX³ª§TVmr”—Xãªãmrki·b@xVv/¤Vxu–—aiTVXMalb@g giTVXsa™b@WYXsvVb@g X­fª³Xsœ7X3‡–•x>œ h[aigidVvfh;–•xu‡giTu–—awcbra X]–•x T;XMw3gi–—mrx"|V¢•Z-¢ =‹–•xb@”•”•h}­f–•x T;XMw3gi–—mrx|V¢ |V­ ªãXvuX3ki– "}XƦ½k mrW¾mrduk

(187) wcbra Xa gidVvfhb‡db@k™b@x g XMXMv TVX3duki–—aigi–—w¦½mrk§giTVX‡}X3xVX3k™b@”wcbra X¢ . . )  . #"%$.   ! #"%$. .   . #"%$.  . . ) ! #"%$. . #. . . $'&. . . . . , - $.&. . .  # À Ä  À   À *«Œ  Ä Å  5ŽfŒ  Ä  &l;

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(192) 

(193) '!1Cp*%*%*%;1h823 p./!10 $$  R %. a "!  82 82;$#L0$  .  04C $ a %. ! . . ". %'&)(+*& ,. . . . . . .  1 !#**%p%A 1 Cp3D9*% " @  . iji l ð kmAnnpo. . '. .   .  . 0  .   . . . . . 6 ~±. .* %/-/(+*.-. . . 1!. 6 †}±.

(194) Z3|. l( 10    Y() *%   3D . L    F!1Cp%p%.  Ä9Ä  ‘ X‚ªãb@x g g m˜XLeftuk XMa agiTVX XLeuXMw3dugi–—mrx vfduk™b@gi–—mrxO­

(195) !L­b@xVvšgiTVX x duW/œ7X3k m@¦?vVb@g™b tuk m;wMXMa a mrk 1 W{dVaig

(196) tuk m;wMXMa ac­ " ­bra¦IduxVw3gi–—mrxVasm@¦ " ¢³ºl¶ db@gi–—mrx 6 ƒ}±aig™b@g XMagiTb@g]tuk m wMXMa™a mrk G "  N. G " \N

(197) T;mu­7ª§–•giT mrduk 1 X3xVvuas–•g aÆtuk m;wMXMa ai–•xu‡b@gÆgi–•WYX° :    w3dukik X3x gT“h;t7mrgiTVXMa XMac°      "   " ¢¡ST dVac­ "  % j (+*6j b@xVv9­f¦Ómrk  =

(198) ë­ . . .  . . .  . .  . .  . . . .    . ". . . . $.    ! #"%$. . . . . . G. '". . \N  ". . . $.. . 

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(200) b@”•” "b@”•dVXMa

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(203)

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(209) g m?ºl¶ db@gi–—mrx 6 ~±L¢ ¼ëxgiTVXk XMa gm@¦‹giTu–—a§tb@t7X3kªãXxVmrg X° . .  . . . % &)(+* &  ,. . .   .  . *.% -/(+* -.

(210). duxVvuX3kgiTVXT“h;t#mrgiTVXMa XMa

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(212) 3C ^ "  82 $#%3% c!$. 

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(214) 2%A

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(216) B/%A'C&     1 

(217) 3

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(219)  &   " . '. $.. 4

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(221)

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(227) –—aW[brvuXœ h¹–•xVvfdVw3gi–—mrx mrx¸giTVX>x duW/œ7X3kYm@¦

(228) tuk m;wMXMa a mrk ac¢‚¼ë¦

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