Replica Divergence Control Protocol in Weakly Connected Environment

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(1)Replica Divergence Control Protocol in Weakly Connected Environment Ahmed Jebali, Mesaac Makpangou. To cite this version: Ahmed Jebali, Mesaac Makpangou. Replica Divergence Control Protocol in Weakly Connected Environment. [Research Report] RR-4217, INRIA. 2001. �inria-00072402�. HAL Id: inria-00072402 https://hal.inria.fr/inria-00072402 Submitted on 24 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. Replica Divergence Control Protocol in Weakly Connected Environment Ahmed Jebali — Mesaac Makpangou. N 4217 Juin 2001. ISSN 0249-6399. ISRN INRIA/RR--4217--FR+ENG. THÈME 1. apport de recherche.

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(96) 1 . Number of allocated resources. 240000. 220000. 200000. 180000. 160000. 140000. 120000 0. 1000. 2000. 3000. Aji[tg] l¹ ?. 4000 5000 6000 Divergence bound. 7000. 8000. 9000. 10000. |{ {| ~fhngujnrY|tgui|jY[{|iln«~fhjeg]_ XY|]©¯[i|tg]©eY|u¥ze³ngY[hwn,nrY|]O|]nq¥ ujtr:nrtrh&O³~e i[he±<i[ « "¥Y|]f ngY|]}l¤j]ftg]%[~%]H]k|~]f]f}|e eguj\^], «\^¸n ?¢Y|]ftg]wj A§©XY|e«[}|~fhng]LenrY[hnL·B¡¢ujt^hH¶ tr]fheu[hwª[ «]³¤hj «i|],uw¡zª?uji|}p³·-ngY|]ftg],e [u|]%]L}O¡¢ujthj « ul~%hnrujte±nguH~u\^\i||~%hwng]#¥Y|]f ]fh~YOu|]#ª?]%Y[h¤]fe)~ul¡¢ujtr\#hwª| pnrungY|]m{|tguj¯[ ] }|]f~ hwtr]f}:ngu ~ujeeqnr]%[~%p¾\#hw[hjj]ftref§ =®¡)Y|u¥ ]%¤j]ft2ngY|]Hª?uji[[} e#nguu «u¥)· nrY|]H|]%nq¥$utg nrtr&h O³~ tr]%\#hj«[ea\^{utnhw<nf·R]f¤j]f©«¡$nrY|]%tr]ê"[u{[tg]L}l~ngujO]%trtgutf§ ? }l]nhw «]L}hw[hj «plegeauw¡$ngY|]³~fhjeg]uj¡ u¥ª?uji|}©¤hj «i|]Le"tg]f¤j]Lhw eonrY[hnhj{|{|truk\#hnr«¤]% pj uj¡ hj « ul~%hnr«u©tr] i|]Leqne"~%hwie]2ngY[]2]%µ?]L~+n nru³]k|~%]%]f},nrY|] u~fhw ªui|[} § Ö]~%uj[~% «i[}|])¡¢tgu\ nrY|e±ujªe]ftg¤hnr«umnrY[h¶ n±uji|tz{[tgujngul~u Reo\ûjtr] ie]%¡¢i| 3¥Y|]%¬ngY|]^hw{|{[ «~%hwngujH~%hj©hwµ?utr} hwtrj]ªui|[}H¤hj «i|]Le%§a¨ Y|]f¬ª?uji|[}[eahjtg]nguum u¥)·?ngY|] tr] ¶ i|tr]f} i[hwthw<ng]f]me#hw \ûennrY|]eqnrtgu|©~%uj[egeng]f[~p·-Y|]f[~]ngY[e2ª?]f~u\^]fe#hje^~%ueng p¾hjengY|] engtruj[2~%uj[egeng]f[~pm{|tgujngul~u E§ XY|]¯[ji[tg] ³eY|u¥ze¡¢ujt±ngY|]2eghj\2]~uj|¯[ji|thnr«uR·lnrY|]nruwnrhj i|\ª]ft±uj¡Bhj « ul~%hwng]f}tr]feguji[tr~%]fef§ Ö]-uª[e]ftg¤]ngY[hwnRngY|]ftg]Beho}l]%trh}|hnr«uouw¡nrY|]²egpeng]f\ nrY|truji|Y|{|iln»¡¢utª?uji|[}" ]fereMnrY[hw [§ ? e eg]%]f2ngY|]{[tg]f¤<ujie{hwthwjthw{[Y\ûjtr]$nrY[hw2nrY|]Y[hw «¡Muw¡?hj « ul~%hwnguj2tg] i[]fenre3~%hji[e]ha|ujng«¯~%hwngujR· ¡¢i[tnrY|]%tr\ûjtr]zngY[e~%hji[eg]fe²ngY|]atg] ¶ i|]fen²nruª?]±tr]qvq]L~+nr]f}³ª?]f~fhwi[eg]a«,uji|t ¶ «\^{| ]%\^]fnhnr«u,hw u~fhnrujte }|u2[uwno}l]%¡¢]%tngY[])tg] ¶ i[]fen nrtg]Lhnr\2]f<nhw¡ ng]ftngY|]egp[~Y|truj|TSfhwngujm{[tgul~]L}li|tr]j§ = nrY|]eg]f~%uj[}H]kl{]ftg\^]%<nf·?]fh~Y{|tru}|i[~]ftoj]f|]%thnr]fetr]feguji[tr~%]fe¥«ngY¬h#¡¢tg] i[]%[~%@ p L½ «]Lege nrY[hw«nrehj||ui|[~]L}©¡¢tg] ¶ i[]%[~%pj§mXY|]m¤hj «i[]#uw;¡ L «}l~fhnr]fe"nrY|]#{|tr]f}l~+nr«uO]ftg¶trujtL§#Ö]#{| «ujn ¯ji|trD] 8¡¢ut¤hwtr«ui[e ¤hj «i[]feuw¡ L ngY[])tg]Lei| «ng|^|]%nq¥$utg^nrtr&h O#~j§ Atren ¥ ]o[uwng]ongY[hwn$nrY|]±ngth O³~o}l]L~tr]fhe]Le-¥Y|]f³ngY[]a}l¤j]ftg]%[~%]zª?uji|[}m«~tr]fhjeg]fef§XY[]%tr]¡¢ujtr]j· ¡¢ut±h³¯|kl]f}¬}|«¤]%trj]%~])ª?uji|[}HngY|]|]nq¥ ujtr,ngth O³~hji|j\^]%<neohjeongY[]{|tr]f}l~+nr«uH]%trtrujtzª?]f~%uj\^]fe Y[«Y|]%tL§XY|e)hw{|{?]fhjtrea~ ]fhjtg p¥Y|]%}l¤j]ftg]%[~%]ª?uji|[}[e)hwtr]\ûjtr]tr]fengtr~+ng¤j]2]j§ u¥)§É iln) nrY|]³ujngY|]ft~%hjeg]^ngY[]m}l«µ?]ftg]f[~]#ª?]nq¥ ]%]f |]nq¥ ujtrngth O³~2¡¢ut"ngY|]m}|¸µM]%tr]%<n¤hw i|]Le)uw¡{|tr]f}l~+nr«u klBimk Ë.

(97) __.

(98)

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(100) &')(* ,+.-/0&1 $ 24351,#&167. 2500 10% 20% 30% 40%. Number of Notifications. 2000. 1500. 1000. 500. 0 0. 5000. 10000. 15000. 20000 25000 30000 Divergence bound. 35000. 40000. 45000. 50000. A«i|tr] 8[¹-Çz]%nq¥$utg^nrtrh&O#~a~%hjeg] . ]ftgtrujtzhjtg]|uwno]%k|~]fereg«¤]"¡¢ujtoY[«YHªui|[}|ef§±x[~%])ngY|]]µM]f~na}li|]ngumngY|]{[tgul}li[~%]%tezª?]%Y[h¤uji|toe hj||Y| hwng]f}m¥¸nrY|,nrY|]"{]ftg\^«nnr]f}}l«¤]%trj]f[~]§XY|ejthw{[Ym~ui| }mª])ie]L}#ngu^{[hjtrhj\^]ng]ftgT S%]ongY|] egpleqnr]%\«ngY[])¡¢uj «u¥|2¡ÚhjegY|ujR¹-ngY|]egpleqnr]%\h}l\^«[engthnrujt¯|k,ngY|][]nq¥ ujtr³\#hkl«\i|\ nrtr&h O³~ nruj]f|]%thnr]³hw[}O]%¤hj «i[hwng]Le){]ftgul}l~%hw pHngY[]m\êre){?]%t~]fnhw]#uw¡{|tgul}li~]%tef·hw}OngY|]f¾~Y|uueg] nrY|]#}l¤j]%trj]f[~]ªui|[}Ohj~%~%ujt}l|j pngu,ngY|]ûjªe]ftg¤]f}|]%nq¥$utgnrtr&h O#~j§ ? e\^« hwt)engi[}lp©~%hw©ª] {?]%tg¡¢ujtr\^]f}O¡¢utnrY|],~%uj[egi|\^]%t{|tguj¯[ ]fe)nru¬uªlnrhj«¾h¬ «eqn2uw¡o~%ujl¯[i|thngujOnrY[hn^~%hw:ª],i[e]L}ngu tr]f~%ujl¯ji|tr]znrY|]epleng]f\§ XY|]ngY[«t}¬~fhjeg]engi[}lp~%uj[eg}|]%teznrY|]2~fhjeg]¥Y|]ftg]ngY|]^~u[ei[\2]ftahj[}nrY|]{[tgul}li[~%]%ta¥« 3|uwn ~%ujl¡¢utg\½ngu#nrY|]%t±hj||ui|[~]L}{|truw¯[ ]fef§Xumeg\i| hnr])ngY[hwnf·ngY|]ujª[eg]%tr¤j]ft{|tgul~%]ferej]f|]%thnr]fethwl£ }|uj\ {[tguj¯[ «]Lehw}©ie]Le"ngY|]f\ nruHtr]f~ul¯[i|tg]ngY[]m~u[eeng]%~p¬\#hj[hw]%te%§ Aji|tr]#H}lth¥ze"ujiln nrY|]a|]nq¥ ujtr2ngth O³~o]%|]ftrhwng]L}#«,ngY[e~%he]§ =®n[}l~%hwng]Le hjm]L~uj[uj\pûj¡|]nq¥ ujtr2ngth O³~±]%¤j]f³«¡ {[tguj¯[ «]Le}l«¤]%trj]±¡¢tgu\½tr]fhj ?ª?]%Yh¤<uji[tf§ Aji|tr]±egY|u¥zeRnrY|]epleng]%\!nrY|truji|Y|{|iln3«ngY[e3~%he]§¨ Y|]ftr]% hkl|±}|«¤]%trj]%~]-ª?uji|}|engY|] nrY|truji|Y|{|ilnaea[~tr]fhe]L}»§)XY|eatr]fegi| «nf·»~u\ª||]f}H¥¸nrY¬nrY|][]nq¥ ujtrmnrtr&h O#~j]f|]%thnr]f}}l]f\ûjl£ engthnr]fe$ngYhnngY[]%tr])eh2tr]fhw »<hw,uj¡i[eg|2ngY|]}l¤j]ftg]%[~%]a~%uj<ngtruj »{[tgujngul~u E§ % ". & ( = HngY|]^hwtr]fhûj¡-¥$]Lhw~ujeeqnr]%[~%pj·Me]f¤j]ftrhj {|truwnru~%uj eY[h¤]ª]f]%©{|tgu{u<e]L}»§oÉhpjui{|truj{?ueg]fezhj u{lng\êng~2tg]f{| ~fhnguj©{|truwngul~%uj ngY[hwnhj}|}ltr]fereg]feongY|]#eg{]L~«¯~2|]%]L}|e"uw¡~uj hwª?ujthng¤j]]f}l«ng| h}leg~%uj||]L~+nr]f}#]f<¤tgu|\^]%<n E XXs =0H< N®§3Éhpuji#{|truj{?ueg]fe$hwmhjnr¸£®]%<nrtgu{<p2{|truwnru~%uj [¡¢ujt {|tgu{[h£ iPi Ø jckl,m#n.

(101) _ . L

(102) .

(103) I %+

(104) 1 . 3500. Number of notifications. 3000. 2500. 2000. 1500. 1000. 500 0. 5000. 10000. 15000. 20000 25000 30000 Divergence bound. 35000. 40000. 45000. 50000. 40000. 45000. 50000. A«i|tr]a¹-Çz]%nq¥$utg^nrtrh&O#~a~%hjeg]D8. 480000. Number of allocated ressources. 470000 460000 450000 440000 430000 420000 410000 400000 390000 0. 5000. 10000. 15000. Aji[tg]l¹ ?. 20000 25000 30000 Divergence bound. 35000. {|{| ~fhngujnrY|tgui|jY[{|iln«~fhjeg] 8. klBimk Ë.

(105)

(106)

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