Replica Divergence Control Protocol Based on Predicted Profile
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Replica Divergence Control Protocol Based on Predicted Profile Ahmed Jebali — Mesaac Makpangou. N 4386 February 2002. ISSN 0249-6399. ISRN INRIA/RR--4386--FR+ENG. THÈME 1. apport de recherche.
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(161) O 9000. 2500 10% 20% 30% 40%. 8000 2000 Number of Notifications. Number of notifications. 7000 6000 5000 4000 3000 2000. 1500. 1000. 500. 1000 0. 0 0. 500. 1000. 1500. 2000 2500 3000 Divergence bound. 3500. 4000. 4500.
(162) "! #$%'&()+*,. 5000. 0. 5000. 10000. 15000. 20000 25000 30000 Divergence bound. 35000. 40000. 45000. 50000. -./10-
(163) 2345) 6 #% 7-+38 !49: *;*. <>=%?'@ABDC8A<.AE=%? BGF8H-=>F=$II-C,J+KL M4=$F,L <%AE?'N4O$PQRJ%ST=$? ?'JU=$F,L J%V C8AEW@ABXFYBDU=%@-B,AZF,H-AAC8C8J%CF8J[AKUAA\4F,HA ? JU=%?2]^J%@-V-\`_aXbdceA UJ%V-U?'@-\AfS(C8J%MgF,HL/B:J%]-B,AC8<>=>F8L'J.VhF,H-=$F1J%@C:IC8J$F8JU3J%?GL/B B;@-L"FY=$]? Afi)H-AVjF,HA =%II? L UE=>F8L'J.VdUE=$V4=>klJ%CY\[?/=$C8m%An]oJ.@V-\d<>=$? @AEBEb2cpHAV4]^J%@V-\-B=$C8AnF,JJ:?'J>i q>F8HA)C8AEW@L C,A\[m.@-=$CY=$VF,AEA L/B =$? M4J.B;F F,HArB;F,C8J%V-mjUJ%V-B,L B;F,AEV-U3N.qsH-AV-UAtF8HL/Bu]^AEU3J.M4AEB =%B UJ.B;F,? Nv=%BdF8HArB;F,C8J%Vm`U3J.V-B,L B;F,AEV-U3N I-C,J%F,JU3J.?b w VhF8HAfB,AEUJ%V-\rA3KIoAEC,L M4AVFEq^AE=.UYHhIC8J\@-U3AECm%AEVACY=>F8AEB)C8AEB,J%@-C8UAEB)i)L'F,Hx= S(C,AW.@-AV-UNtyrz{?'AB,B F8H-=$V|L'F8B1=%VVJ.@V-U3A\eS(C,AW.@-AV-UN%b~}HA~<+=%?'@-A J$SyL'Vo\L UE=>F8AEB:F8HA IC8AE\L/UF8L'J.VjAEC,C8J%Cb cjA I?'J%F[L V L m%@C8A1[F,HA C8AEB,@?'F,L Vm4VA3FXinJ%C84F,CY=>uU5S(J%C)<>=$C8L J%@-Bn<>=$? @AEBJ%S2yjb L C8B;FninAV-J$F,AF,H-=$FsF8HA5F,CY=>uU\AU3C8AE=.B;ABi)HAEVuF,H-A\L <%AEC,m.AV-UAZ]^J%@V-\~L'VoU3C8AE=%B,AEBEb}H-AC8A3S(J%C8A%q S(J.C5=u KAE\x\L'<.AC8m%AVoU3A ]^J%@V-\rF,HAfVA3FXinJ%C8tF,CY=>uU[=%@m%M4AVFYB=%BF,H-A[IC8AE\L/UF8L'J.VrAC8C8J%CZ]^AEUJ%M4AEB H-L'm.HACb}HL/B5U?'A=$C8?'N=$II^AE=%C8Bi)HAVe\L'<.AC8m%AEV-U3A ]^J%@Vo\B5=%C,A[MdJ.C,A[C,ABXF8C,L/UF8L'<.A1Lb A%b q^?'J>i bs@F5L V F8HAdJ$F,H-AC:H-=$Vo\hF,H-Ad\L'klAC8AV-UAf]^A3FXinAAEVxVAFXisJ.C,tF,CY=>uU[S(J%C5F,HA \L'k^AEC,AEVF<>=$? @ABJ%SDIC8AE\L/UF8L'J.V AEC,C8J%CZ=%C,A[VJ$FAKU3AEB8B,L'<.A:S(J%CH-L'm.Hr]oJ.@V-\BEb5L V-UA F,HAfA3klAEU3F\@A[F,J~F,HA1I-C,J\@-UACYBZ]^AH-=+<L J%@CL B =%VVL HL ? =$F,AE\~i)L"F8HL VtF8HA:IoAEC,M4L'F;F8AE\\L'<.AC8m%AEV-U3A.b2}HL/Bm%CY=$I-H~U3J.@? \~]oA @oB;A\ F,J4I-=%C8=%M4A3F,AEC,L AF,HA B,NBXF8AM{=.BS(J%? ? J>iZB2F,H-A[B;NB;F,AEM{=%\M4L VL/BXF8C8=$F,J%C -KABnF,HA[VA3FXinJ%C8 M =>KL'Mf@MF8C8=$uUF8J m%AEVACY=>F8A =%V-\fA<>=$? @-=>F8AEBGI^AC8L'J\L/U=%?'? N:F,H-A)MdL/B8BGIoAEC8UAVF8=%m%AnJ$SlIC,J\@oU3ACYBEb}HAEVfHAZUYH-JJB;ABF,HAZ\L <%AEC,m.AV-UA ]^J%@-V-\=%UUJ%CY\L Vm%? NdF,J4F,H-A J%]-B,AC8<%A\uVAFXisJ.C,4F8C8=$ U%b ). [GlXRn,ZD. AC8A%qisAS(JU3@-BsL'V~A<>=$? @-=>F8L'V-m F,HAIC8J$F8JUJ%?oL'Vu?/=$C8m%A5B,UE=$? AB;AF;F8L'VmBb}HL/BsL'V-U?'@o\AEBs? =%C,m.A)V@M[]^AC J%SDC8AI? L UE=%BEqlHL'm.HxC8AEW@ABXFYBCY=>F8Af=$Vo\ri)L/\Ad=%C,A=uVAFXisJ.C,lb J.C5F8HL/B5I-@C,I^J.B,AdisAf]@L ? \j=~<L C;F8@-=$? i)L/\A =$C8AE=dVAFXisJ.C, J><.ACnJ%@C)? JU=%? VA3FXinJ%C8 @-B,L'Vm =4VAFXisJ.C, AEM[@?/=>F8J%C ¡¢\@M4M[NVA3F1£ ¤)L E¥¦E§¨3b cjA1U=%C,C8L'A\ F8HC,AEA:A3KIoAEC,L M4AVF8=$F,L J%V-BsF8JdAE<>=$? @-=>F8A5F8HA:IC8J$F,JUJ%?lL'V?/=$C8m%AB,UE=$? A:B,A3F,F,L Vm.BEb L'CYBXF inABXF8@-\L AE\`F8HAL'M4I-=.UF4J$SC8AI-?'L/U=.BfV@Mf]oAEC4J%V©I^AC,S(J%C8M =$V-UA%b`cjACY=$V©F,HAh=$I-I?'L/U=$F,L J%V©i)L'F,H \L"klAC8AVF:V@-M[]^AC:J$S=$? ?'JU=$F,J.C8BJ%Ve=t? JUE=$?GVAFXisJ.C,lb ªD=.UYHe=$? ? JUE=>F8J%C:B;AEC,<.AEB=tU?'L AVFF,H-=$F:m.AV« AEC8=$F,AB[¬$C8AEW@ABXFYB IoAECfB,AEUJ%V-\ bcjA~I? J$FfL'V L m%@C8A~®F8HAuC8AEB,IoJ.V-B;A4F8L'M4At<%ACYB,@-B:F,H-AuV@M[]^AC J%SC,AEI? L UE=%BEb}HA[C8AEB,I^J%V-B,A F,L M4AfC8AM =%L'V-B]oAFXisAEAV©¯.b O$M B=$Vo\r®b°O>M BEb}HL/BL/B5\@A1F8JuF,H-Af? JU=$? C8AEW@ABXFF8C,A=>F,M4AEV.Fb. ±(²2³±´.
(164) [[. 4. 800. 3.5. 700. Number of notifications. Response time (ms).
(165)
(166) !"#$%
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(168) + $ +/!.#102. 3. 2.5. 2. 1.5. 1. 0.5. 600. 500. 400. 300. 200. 100. 0. 0 2. 4. 6. 8. 10. 12. 2. 4. Number of replicas. 6. 8. 10. 12. Number of replicas.
(169) . "!#
(170) %$&(')*,+-.0/2143. 7. Allocation error (%). 6. 5. 4. 3. 2. 1. 0 2. 4. 6. 8. 10. 12. Number of replicas. "5#
(171) 76898 3/2 :;( * <>=@?&A B;CDFEHG-IJEHKL MNONFPERQM;DFDSE2TKM;=UAV=B=*CWYX#EZD[M\=M;NSAV]#Q^NSA M;="W4EZTFTS^;B;E2T_Ea`QP^=B;EZUbXEaNcIJEEZ= ;^ LVL MQ^NSM;DTZd[ePA TH]BCDSETPMfI-THNSP^N)NSPEB;E=ED^fNSE2Ug=EaNcIJM;DFh NFDF^ijQA Tk^;KKDFM`AVWj^fNFEL l L AV=E2^D)I%AVNSP NFPE:=*CW@XED%M;\7TSEDFm;EZDFTZd ePEjL ^;TN:AV=NFEDFEZTNSA =BnDSE2TCLVN A =oNFPA T Emf^L C^fNFAVM=pQZ^;TSEjQaM;=#QaEDF=T:^;KKL A QZ^fNSA M;=pQaMDSDFEZQaNS=E2TST"^=#U QLVA E=NTF^fNFA T\q^;QaNSA M;=OdJrT%NFPE:KDFMNFM*QM;LOWj^;h;EZT%^;=s^;QQEKN^=QE UEZQA TSA M;=nM;=nEZ^QPtDFEZuCE2TcN2vIJE:W4EZ^fw TSCDFEZU@NSPE-QLVA E=NkTF^fNFA T\q^;QaNSA M;=4^;T&NSPE-QaM;DFDFEZQ.NF=EZTFT&M\#NSPA T)UE2QaA TA M;=Od7x-EZ=QaE%IJEKL MN)A =4?&A B;CDFE-yNSPE UA{z_EDFE=QEYXEaNcIJEEZ=sNSPEg=*CWYX#EZDM;\R^L L M*QZ^fNFEZUsDFEZTSM;CDQaE2T^;=UsNFPEYDFEZ^;LVL ls^mf^A L ^;XLVE@M;=E2Td |*CDFEL l NFPEgKDSM;NSMQaML}BC^D^=NFEEZT%NSP^NbNFPA TEZDSDFM;DDSEZWj^A =TTSWj^L LVEZDNFP^=oNSPEgB;L M;X#^L&X#MC=Uo~bdx-EZDSEYIRE QPMMTE"^gX#MC=UnQaMDSDFEZTSKM;=UA =BYNSMnZM\&NSPE:=CW@XED%M\H^L LDFEZuCEZTNSE2UDFEZTSM;CDFQEZTZd&ePA TDFEZTSCL{N A T"^KKDSM`A W4^NSA m;E qX#E2Q^;CTEgIJEgUM*E2T=MNbNF^hEYQZ^DFEYM;\kMQQaCDSDFE=QEYU^NSEgM\R^;LVL MQ^NSA M;=o^;=UKDFMw UCQ.NFAVM=jM;KED^fNSA M;=#TFad[pEQ^;L QCL ^NSENFPA T)\M;DREZ^;QP4DFM;C=#Ug^;=UgDSEZK#MDNHNFPEKEDQaEZ=NF^BEM\_NSPEEDFDSMD I%AVNSP4DFEZTSK#E2Q.NHNFM"NSPE-=*CWYX#EZD)M\_DFEZuCEZTNSE2UgDSE2TMCDFQEZTZd[ePE%BDF^;KPgTSPMfI-T&NFP^fN)NFPE%EDFDFM;DHA =QaDFEZ^TE2T I%AVNSPNFPE:=*CW@XED%M;\&DFEKL A Q^;TZv*I%PA LVE:DFEWj^A =A =BgLVE2TSTJNFP^=s4d <>=NFPEoTSEZQM;=UE`*KEDFA WgEZ=NZv%IJEDSC=NSPEB;DFM;CKM\ ^;LVL MQ^fNFM;DT4M;=^m*A DNFC^L=EaNcIJM;DFhNFP^fN TSA W@CL ^fNFEZT^I%A UEw^;DSE2^DFM;C=UNSDFAVKNFAVW4E;dpEoTNSCUAVE2UNcIRMQZ^;TSEZTZNFPEs]DTcNtI%A{NFP^7e%eM;\ ;; W4T%^;=UtNSPEYTE2QaM;=#UI%AVNSP^j7e%eM\)y WjTdR?}A B;CDSE2T%j^=Uo@KL MN%NFPE@ q¡2¢*£>¤:M\7NFPE:=*CW@XED M;\kTl*=QPDSM=AV¥2^fNFAVM=W4E2TSTF^BEZT-QM;DFDSE2TKM;=UAV=B4NFM^=oAV=QDSE2^;TSAV=B^DFDSA mf^L[DFEZuCE2TcNDF^NSE qCKNFM . ¦}¦¨§f©ªa«.¬..
(172) M
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(175) O 500. 900. 450. 800. Number of notifications. Number of notifications. [Å 400. 350. 300. 250. 200. 150. 100. 700. 600. 500. 400. 300. 200. 100. 50. 0 0. 20. 40. 60. 80. 100. 120. 140. 160. 180. 200. 0. Request rate/s. 40. 60. 80. 100. 120. 140. 160. 180. 200. Request rate/s.
(176) $&a,')*(+. /21j3'-
(177) . #
(178) %$}(')*,+-.0/2143b' 5
(179) . 40. 45. 40. Allocation error (%). 35. Allocation error (%). 20. 30. 25. 20. 15. 10. 5. 35. 30. 25. 20. 15. 10. 5. 0. 0 0. 20. 40. 60. 80. 100. 120. 140. Request rate/s. 160. 180. #
(180) &6898 *3Z/2 ;( *'-
(181) . 200. 0. 20. 40. 60. 80. 100. 120. 140. 160. 180. 200. Request rate/s.
(182) 76898 3Z/2 :, *['- 5
(183) . DFEZuCE2TcNT.d[ePERNcIJM-]#B;CDFEZT&TPMfINSP^N}NFPE=EaNcIJM;DFhbNSD^fiQRB;E=ED^fNSE2U:X*l"NSPEJKDFMNFM*QM;L*A =QaDFEZ^TE2T I%AVNSPNFPE ^DFDSA mf^L_DFEZuCEZTN\DSE2uCE=Ql^=#Ut^;L TSM4X#E2QaM;W4E2T%TL AVBPNSL lTcN^XL E"I%A{NFPnPAVBP\DFEZuCEZ=QaA EZTZd rT"AV=oNSPEg]DTcN:Q^TEgTcNFCUlvOAV=M;DUEDNSMnEZm^;LVC#^fNSE@NSPEjQLVA E=N:TS^NSA Tc\q^Q.NSA M;=IREgKL MN"AV= ?&AVBCDFE E NSPE4^L LVMQZ^fNSA M;=oEDFDSMD^;T"^tK#EZDFQE=NF^;B;E M;\kNFPEg^;LVL7DFEZuCE2TcNFEZUsDFEZTSM;CDQaE2T^;WgMC=NZd ^=#U?&AVBCDS ePEZTSEH]B;CDSE2TOTPMfIoNFP^fN}NSPERKDSM;NSMQaMLA TOW@C#QP:WgMDSEHA =NSEZDSE2TcNFAV=BI%PE=:CTSEZU"I%AVNSP@PAVBP"\DSE2uCE=Ql;d. . "!$#&%'#)('*,+ -/.0('1$243. e}MpEmf^L C^fNFENFPEnW4EDFA{NjM\bUAVmEDFB;EZ=QaEQaM;=NFDSMLJKDSM;NSMQaML(vHIJEUEm;EZLVMK#E2UNFPEnEmf^L C^fNFAVM=^;KKL A{w QZ^fNFAVM=I%A{NFP NcIRMM;NSPEZD@KDFMNFMQaM;L TZdePE]DTcN@A T@^K#EZDSA MUA QKDSM;NSMQaML-4^L LVMQ^NSMDFT:KEDFA M*UA QZ^L LVl TSl*=QPDFM;=A ¥EgNFPEA D DFEKL A QZ^;TZdtrJN@E2^;QP Tl*=QPDSM=AV¥2^fNFAVM=oNFAVW4E;v&DFEWj^A =A =BsDSE2TMCDQaEZT"^;DSEjE2uC#^L LVl UA TNSDFAVXCNSE2U^W4M;=B^L L}^;LVL MQ^fNFM;DT4 d 5CDFAV=B^KEDFAVMUnE2^;QP^L L M*QZ^fNFM;DTSEDFm;E2T%AVNFTbQaL AVEZ=NT-CTSA =BAVNFT MfI%=tK^DSNZdHPE=tNSPEZDSE"A T%=M4W4M;DFEL MQ^LDFEZTSM;CDFQEZTZv^;LVL MQ^fNFAVM=DFEZuCE2TcNTJ^;DSE"DF7E 6cE2Q.NSE2UdHePE TSEZQ.w M=UnKDFMNFM*QM;LOA W4KL EW4E=NFT^QaM*MK#EZDF^NSA m;E"DSE2TMCDQaEZT%TSP^;DSA =Bdr-L L M*QZ^fNFM;DTSEDFm;E2TA{NTQLVA E=NFTCTSAV=B L MQ^;LHKDSMUC#Q.NSA M;= ^=#UuCEZDSlM;NSPEZDFT"I%PE=pA{N@UM*E2T"=MN P^mEYEZ=M;CB;POdjePA T:KDFMNFM*QM;L7KDFAV=#QaA KLVE A T TSAVW4A L ^;D:NSMs9< 8 :<; 9< 8 : =,v7E`QEKN:NFPEj\q^Q.N:NSP#^fN@AVN@W4Mfm;E2T:TP^;DSE2UU^fNF^nXEaNcIJEEZ=QaM*M;KED^fNFAVmE KDSMQaE2TSTSEZ?T >A,d EdVvDFEZTSM;CDQaE2T}E`QP^=BEZUg^DFE-UEZQDSE2^;TSEZU@\DSMW NFPETSE=UEZDk^=#Ug^UUE2U@NFM:NSPE-DSE2QaEZAVmED2d. @BA&¦C@ED.
(184) [H.
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(187) &(') * +,-!.#
(188) + $ +/!.#102 6 cooperative divergence periodic. cooperative periodic divergence 5. 0.45. Allocation error (%). log (Number of notifications). 0.5. 0.4. 0.35. 0.3. 4. 3. 2. 1. 0.25. 0 0. 5. 10. 15. 20. 25. 30. 35. 40. Request rate/s. 45. ?
(189) f/; /2 g2(')*,+.0/2143. 50. 20. 40. 60. 80. 100. 120. 140. 160. 180. 200. Request rate/s.
(190) _ /;0/2 2:/898 3/2 ";( *. pE:QaM;W4K^;DSE2U4NSPEb=EaNcIJM;DFhYNFDF^iQBE=EZDF^NSEZUXlNSPE2TEbKDFMNSMQM;L T)\MDRNFPE:TS^;W4EDFEZuCE2TcNMfI A =o^ ; WjT-7e%e =EaNcIJM;DFh_d?&AVBCDSE TSPMfI-T%NFP^fN"UA m;EDFB;EZ=QaEYQaM;=NFDSML[KDFMNFM*QM;L[TF^m;E2T%=ENcIRMDSh X#^=UI%A U*NFPQM;W4K^;DSE2UNSMQMMK#EZDF^NSA m;EKDFMNSMQM;L,d xMfIREZm;ED2vkQMMK#EZDF^NSA m;EKDFMNSMQM;LWj^h;E2TgLVE2TST ^;LVL MQ^NSA M;=nEDFDSMD^;TA{N"TEZDSmEZT-QLVA E=NbCTA =BM=L ltE`*A TNSE=NbDSE2TMCDFQEZT: (TEZEY?&AVBCDFE .d 8kM;W4K^;DSE2U NFMoNFPEsKEDFAVMUA QKDSM;NSMQaMLRNFPEsUA m;EDFB;EZ=QaEQaM=NFDSMLKDSM;NSMQaMLA TgW4M;DFE^QQCDF^NSEI%A{NFP ^ TSLVA B;PNFLVl PAVBPED%=ENcIRMDSh4NFDF^iQd.
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