Stochastic Fluid Model for P2P Caching Evaluation
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Stochastic Fluid Model for P2P Caching Evaluation Florence Clévenot-Perronnin — Philippe Nain. N° 5533 March 2005. ISSN 0249-6399. ISRN INRIA/RR--5533--FR+ENG. Thème COM. apport de recherche.
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(154) ; = 6 B [¨ ,&r¥D]q ; ·& ; tyq~ & ; )( ·8tyq~Dr¥D]qkuX[]tD\^oDp[q<k±oDNp[rs~) ; = 6 , & ; 1©rq{kmXN]Aeh¢<p[rwmwu]1nt>nX[])t k kmr\^] &.; B · rsiat Nwizkm¯¤o>wu~h]:wY¬rq[]:tDw4` M 5·[aX[o>im]Pilo>¬p[kmroDqriY>r¬¥>]q§<g -7. . . . ,M" 1 6 ; ; B ; . ;; P R _ R 7. 7. . . ?. oDw " J &.; 9 &.; ( 1m¨ kYrioDwmkmXqNoykmrq[) wmo>\ & SkuXNt kkmX[]0wt kur¬o ,#" 1 ·jaX[rsnX>r¬¥>]:iSkmX[]0X[r¬k}Nwmo>§Nty§[rrºkzgt kYkur¬\^] " Qim]] 4 ·rsi]:iuiakuXNtyq :P o>w±ty " 7²tDiaoDqN²tDi0,"7 1u·[kuX[]tD\Ao>p[q<koyNp[rs~tykkmr\^]<" 6 7[·ri±¬]JimikmXNtDq ¨ ¦¹]AartDiuilp[\^] wmo>\ q[o o>q¡kuXNt k7 * , 7 1 * ·ty¬kmX[o>p[DX¡kmX[rsiPtDiuilpN\A}[kmroDq@n:tyq@§]^wu]st «h]:~@ilrqNn] ]ar¬oDqN¬g@§]²rq<km]:wm]Jizku]:~@r¬qkuX[]ilkm]:t>~hg<¯áilkutykm]^§F]XNt³¥jroDw0oyYkmXN]²ilghilkm]\¨boDwu]il}F]:nr n:ty¬g>·®]ar¬ imX[o Qim]])}NwmojoyoDSvwuoD}Fo>imrºkur¬o>q[3¨ 2 YkuXNt k4kmX[]^ilkut kur¬o>qNtywug]«h}]JnIkm]J~¡tD\Ao>p[q<k±oyp[r~¡r¬qkmX[]^ilghilkm]:\ ~h]:q[oyku]:~§jH g TVJ L ²]«jrsilkuiatyq~ rsiYrqN~h]}F]q~h]q<koy1kmXN]Pr¬q[r¬kmrstyizkt km5 ] , ,"71290,"7 121m¨ ?. . . . $. . =. . Ç®Ç Ðkmllnn. =. 7.
(155) 2: . 0 , .
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(157) iutyª>]4oDnoDqj¥D]:q[r]qNn]4]0r¬q<kmwuoh~hpNn]4kuX[]Pq[]:}NtDwutD\^]km]:wui. = 6 3 tDqN~ = 6 = L Nwizka]«j}Nwm]Jimimr¬o>q² o>wYkmX[]PX[r¬k}[wuoD§NtD§[r¬r¬kzgrsi~h]:wmr¥D]J~²rqkmX[]0 o>¬o ar¬qNA}Nwmo>}o<ilr¬kmroDq´¨. 2: . ?. . '0 Àh+SÀ !Ã-! À Y7iZ' U h *! "! # . !. 0.
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(165) ¨ krsi®imX[o aqPr¬q
(166) kmX[rsi®}NwmojoyjkuXNt k rsi kuX[]©ilkutykmroDqNtDwmg X[r¬kP}[wmo>§Nty§Nr¬rºkzg^xzpizkP§F] oDwu]t # ²Dr¥D]q¡kmXNtykaq[oh~h]:iPtDwm]AtDnIkur¬¥>]D¨AWYX[]^]«h }[N wu]:iuilroDqrq 22 4ri q[oDkatD\^]qNtD§[¬]4kmo^] nr¬]:q<k±noD\^}[p[kut kur¬o>q´·hilrqNn]&r¬krq<¥>oD¥D]JikuX[]Pilo>¬phkur¬o>q oD1tDq rq Nq[r¬km]Pimghizku]\oDr¬q[]Jtyw ]:¢<pNtykmroDqNiatDqN~kmX[]
(167) noD\^}[phkt kmroDqoytyqrq Nq[r¬km]
(168) im]wur¬]Ji¨ p[r~hrq[ oDqvwuoD}Fo>imr¬kmroDqN¨ 2>·kmXN]@q[]«jk wu]:imp[ºk}[wuo ¥jr~h]JitDqty¬km]:wmqNtykmr¥D]@]«h}[wu]:iuilroDq o>wkuX[]@XNrºk }[wuoD§NtD§[r¬r¬kzgD·<aX[rsnXar¬kmp[wuqo>phkkmo)§F]&\Ao>wm]&ty\^]qty§[]kuo)qjp[\^]wurn:ty8no>\A}NphkutykmroDqkuXNtyq 22 I¨WYX[rsiri ~ho>q[]& oDwYkmXN]
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(171) . : 6U P R R ( ($# )( " , :. , B : 1M" 1 !R " '>= 6"( )( (= 6"! E ($&# % )( P ( % &% )( *) S. E! &% P ,2:. , B : 1M" 1 !R " &% . %$ - 0 0 , . . 5 .
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(174)
(175) . 22. '0 À´À > Z 5[o>w 7$$ :Pr¬q<kuwmoh~hpNn]&kmX[]P>]q[]:wutykmrq[) pNqNnIkur¬o>q 5,16 F N9O N N = N (. 2J . 3. `4§Nim]wu¥D]&kmXt k 7H$5, 1:$ -, 1Simr¬qn] 7A$ N $ :0 o>w±ty-5 :D¨©¦/rºkuX 2J ©kmX[])X[rºk4}[wmo>§Nty§Nr¬rºkzg Dr¥D]:q rq 22 ©wm]:awmr¬km]Ji . . ?. 6 PRbS 5 ,2: 1 =. . 2-4. . ?. kwu]\tyrqNikmo~h]km]:wm\^rq[]
(176) 5,: 1m·haX[rsnXria~ho>q[]P§F]o P¨ L±iuimp[\^] Nwizk©kmXNty' k #<, 16'," .%: 1 ¨b{p[ºkur¬}N¬gjrq[)§FoykuXilrs~h]JiSoD 2J §jg N N dO>tDqN~²imp[\^\Arq[)kmX[] wu]:imp[ºkur¬qNA]J¢<pNt kur¬o>q o ¥>]waty ¥ typ[]:iYoD 5 :0gjr¬]:~[i:·[t Ãku]w]JtDimg²tyD]:§[wutN· . . . : 5 ,1 B , , B : 1. : 1 5, 16 . B .G B. ?. PQS 9. ,"79>: 1 =. 2 . . 5 ¢<pNtykmroDq 2 S~h] q[]:i©tyq` M 5µ o>w5,1m·jar¬kmXkuX[]±rq[r¬kmrsty no>qN~hr¬kmroDq5, 7 16 7[¨)'´]klkmrq[6': , B : 1 rq 2 S]Pil]:]&kmXNtykq[]:n]:iuimtDwmr¬g .. 4. . . . # ) ( P S &% 6 2( , B : 12, B : B B , B : 11 = B : ejrqNn]&]4o>q[¬g^q[]:]:~kmo^no>\A}Nphkm]5,: 1 6il]:] 2-4 I·hr¬krsi]q[o>p[DXkmo^ilo>¬¥>] 2 oDw %,: , B : 1 9;:2L¤· ar¬kmX@kmX[]Ar¬qNrºkurtDnoDq~hrºkur¬o>q 2( · tyqN~kmX[]:q¡kuo pNim]kmX[]no>q<kmrq<pNrºkzgoy©kmX[] p[qNnkmroDq5,1Ytyk&}FoDrq<k 6 :! , B : u1 ¨. :. . . . . . ? . . ?. . ?. ¦¹] Nwizkilo>¬¥>]kmXN]©ilkutyq~[tyw~0X[oD\^o>D]qN]oDpi´]:¢<pNtykmroDq´·JkuX[]q
(177) pil]SkmX[]\^]kmXNoj~
(178) oy[¥ tywurtykmroDqPoDNnoDqizktyq<k:¨ WYX[]PX[o>\^oDD]:q[]o>pNi©]:¢<pNt kur¬o>q awur¬km]:i . 5,1 6. 6. kui±ilo>¬phkur¬o>q rsi. . B / . B ( 5,1 :. , B : 1 B - B , B : 1 B B : . , : 1 ,12= , B : 1 , , B : 1-. : 1 5 B :. 2-V . ?. 5,16 P , , B : 1
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(186) no>qNnpN~h]&kuXNt k±qN]:n]Jimiutywur¬g ,2:! B : 11 6 7[·haXNrnXr\A}N¬r]:iYkuXNt k±kmX[]
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