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Non-Cooperative Routing in Loss Networks

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(1)Non-Cooperative Routing in Loss Networks Eitan Altman, Rachid El-Azouzi, Vyacheslav Abramov. To cite this version: Eitan Altman, Rachid El-Azouzi, Vyacheslav Abramov. Non-Cooperative Routing in Loss Networks. RR-4405, INRIA. 2002. �inria-00072183�. HAL Id: inria-00072183 https://hal.inria.fr/inria-00072183 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. .  .   .

(3)  . .  .      .  . . . . . Eitan ALTMAN — Rachid EL AZOUZI — Vyacheslav ABRAMOV. N° 4405 MARS 2002. ISSN 0249-6399. ISRN INRIA/RR--4405--FR+ENG. THÈME 1. apport de recherche. .

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(67). -. . ‹su œ |ouKx>• o | r ;|uKoues Ynqƒ„ x>} xF‡ˆuˆx>„ ‰I›!sr nu œ souez €x ‹ | zˆr uˆxpr } sozˆx>rFx>lonC‹quK|/pr x so s‹Spq|}>} z |uˆuˆx>l x> • rts  =x z uKs„ r nq-rF/uKs„E•o ;@ r n ˜s s/‡ˆz|ouˆuˆx>lx>• |o r ;S|ouKn;ueso„ rtne-rF/uKs„E•o  A|o˜Sl xpqn lon uqz|/›.  ž Í»Í  =©|Ž‹bln£¦‡sem{`‹†eutx¨I|q{yª3‚A´‚vlylp†cYehtn_o,tvo,tvln|qcYe•¿Æo {Š‡s{n|Ž„3eT¸Žpb£¤§¦£¤¹b{n£¦p†coYltn{y£¦‰utn§¦wZ„|Žln£²¬ ty£¤®Žeh«*{yoŽ‰Ûtn£¦|q‹ | «;‰doq§¤§µl`o {y{n£¦®W£¤‹b˜¯ty| \£¦lˆ{n|ŽpstneT‡Zty_†{n|Žp†˜q_?;“o ‹b‡›®W£¦‰de(®qed{Šlyo†´ 4“£¤{yem‰ut¯‰u|Ž‹†‹†em‰utn£¦|q‹bl“«*{y|qc ;Atn| Ko {ye—|Ž‹†§¦w9¹†§¦|W‰ŠªŽem‡‘£²«`§¤£¦‹†ªk; A£µlh«*p†§¦§UºP¨F_†ed{yemoŽlv£¦‹b‡s£¦{yem‰Ût¯‰d|q‹s¬ ‹bem‰Ûty£¤|Ž‹bl•«*{y|qc 9ty| Ktn_o,t¯pblne;K‰doq‹ ¹e3¹†§¤|s‰ŠªŽem‡°‹†| t—|q‹†§¦w³£¤«; Y£µl•«*p†§¦§©¹†p†tKo §µln| £¤« ;—£¦lA«*p†§¤§ò´ ^`_be“§µo,tntned{`c\oÄwY|s‰d‰upb{Iem®qem‹3¨F_†em‹3§¦£¤‹†ª ; ˆ£µl©‹b| t`«*p†§¦§U´Á^`_†eh¹†§¦|s‰ŠªR£¦‹†˜Ko,t f;ˆ| «>lpb‰Š_3£¤‹b‡†£¤{yem‰utF‰mo §¦§¦l _oql“„|Rl£¤tn£¦®qe—„†{n|Ž¹bo ¹b£¤§¦£²txwDln£¤‹b‰deAty_†ed{ye¯£µlhc¯pstypbo §1«*|q{y¨Ioq{y‡†£¤‹†˜Zoq‹b‡‘ln£¦‹b‰u^e -  -  -  ´h^`_b£¦l £¦cY„†§¦£¤eTl`tn_bo t    ´ €W£¦‹b‰de ; F_oql©„|Rl£¤tn£¦®qe  |,¨ | «1‰d|q‹†‹†eT‰Ûty£¤|Ž‹bl;«*{y|qc ºW£²tI«*|q§¦§¤|,¨ˆlÁ«*{n|Žc ¿°oq{y‡s{y|q„\„b{n£¦‹b‰u£¦„†§¦evty_bo,t   {  ´°¿°eZtn_WpblY‰d|q‹b‰d§¤pb‡†e\tn_bo t   ´ (IwÆo‘lwWcYcYeutn{y£µ‰3o {y˜qpbcKem‹Rt¯¨©e ‰doq‹ ‹†|,¨ ln_†|,¨ ty_†e•|q„†„|Žln£²tyeqºW£ò´ eŽ´    ºsoq‹b‡Z|Ž¹styoq£¤‹ o—‰d|q‹Rtn{Šoq‡s£µ‰Ûty£¤|Ž‹»´P¿³ehtn_Wpbl`‰d|q‹b‰d§¤pb‡†evty_bo,tItn_†em{ne ‰mo ‹†‹b| tF¹e(c—pstnpo §«*|q{y¨`o {Š‡s£¤‹b˜b´ ‚ ln£¤cY£¦§¦oq{;o {y˜qp†cYed‹RtP_†|q§µ‡†lP«*|q{>‹†edtx¨©|Ž{nª (h¶Ä£¤t;«*|q§¦§¤|,¨ˆl>o ˜Ro £¦‹(tn_o,t>tn_bo t    ´>‚vlylnp†cY£¤‹†˜ c—pstnpo §W«*|q{y¨`o {Š‡s£¤‹b˜bº,‡sp†eItn|•¿Æo {Š‡s{y|q„¯„b{n£¦‹b‰u£¦„†§¦eqºqln£¦‹b‰ue ; ©_boqlP„|Žln£²ty£¤®Že  |,¨ | «‰u|q‹b‹†em‰utn£¦|q‹bl1«*{y|qc º£¤t“«*|Ž§¤§¦|,¨ˆlˆty_bo,t   {  ´(¿°eK‰d|q‹b‰d§¤p‡seAty_bo,t   ´A‚BlnwWcYcKedtn{y£¦‰—o {y˜qp†cYem‹Žth§¤eToq‡†l ty|Ktn_†e(|Ž„†„|Rl£¤tne•{yed§µo,ty£¤|Ž‹›p†‹‡sed{Fc—pstnpboq§N«*|q{y¨`o {Š‡s£¤‹b˜¯¨F_†£µ‰Š_D£¦l`£¦cY„|Rlnln£¤¹b§¤eŽ´ —Í ž Í B B@Ÿsž Ê  " 6-  Q -    . . . . . A. . . .

(68) . .

(69) . . . . .

(70) .

(71) . . rF |rZ-.

(72) . . 9. . ,so1zˆxEn u'rF n'z o‰ ‰Inr uˆxp6pq|z n.   HF-  dsouUn r œ sou s1} Œx>uKnqpr_}†x>  z€|ouenC„ z nqE›. .

(73) . . . Yk.

(74). . ,. 9. .

(75) . . . |zqzˆ„ ‰;x>•Wr |orZ-.

(76) .

(77) .  . Q. . .

(78) .

(79) . . › Zs#zˆxEn udn x>rF n uAUn r œ su |ozezˆ„ ‰;x>• - ] › )r |ouKuKs !nqƒ„ x>}†xF‡uˆx>„ ‰. . . . . ž Í»Í =©|Ž‹bln£¦‡sem{Fed£¤tn_†em{F‹†eutx¨I|q{yª3‚|Ž{ (“´†‚“lnlnp†cYe•tn_o,tvo,tˆeT¸Rp†£¤§¦£¦¹†{n£¦p†cDºboYltn{y£¦‰utn§¦wZ„|Rl£¤tn£¦®qe oqcY|qp†‹RtF| «  |,¨«*{y|qc Z˜q|WeTlItn_†{y|qp†˜Ž_a;,´Á^`_†ed‹D‡sp†e•ty|Ytn_†e(„†{yed®W£¦|qpblFzÁ{n|Ž„|Rl£¤tn£¦|q‹»º†oq§¤§  |,¨«*{y|qc ;“˜Ž|ReTlItn_†{y|qpb˜q_?; ,´©^`_be•tn| tŠo §  |,¨4|,®Žed{ ; h£¦lvlxty{n£µ‰Ûty§¤w›§¦oq{n˜Žed{Itn_boq‹Dtn_†{y|qpb˜q_  ´©Åˆem‹b‰ue(¨Ie(_boÄ®Že   {   ´4^`_RplY¿°oq{y‡s{y|q„ „†{y£¤‹‰u£¦„†§¤eTl\o {yeD®R£¦|q§µo,tyem‡Nº`ln£¤‹b‰de tn_†e9pleT‡½„bo tn_ ; _boql ltn{y£µ‰Ûtn§¦wZ§µo {y˜qem{`‰d|Žlt`tn_boq‹ oq‹†| ty_†ed{F„bo tn_D¹eutx¨Ieded‹›tn_beAlnoqcKe•|Ž{n£¦˜q£¦‹›oq‹b‡D‡semltn£¦‹bo,ty£¤|Ž‹»´ . . . . .

(80) . Ó1Óñ*†ßÛßuÞ+. . .

(81) . . .

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