On the Integration of Best-Effort and Guaranteed Performance Services
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. On the Integration of Best-Effort and Guaranteed Performance Services Eitan ALTMAN Damien ARTIGES and Karim TRAORE. N˚ 3222 July, 1997. THÈME 1. ISSN 0249-6399. apport de recherche.
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(144) |>n 2 78¦V«¡-yx gfxty²y± t8oQ|-tvc g o/¥gfx8oQgsoQeVyq tyQ< ªyxv¢A~>yoCyQ§®n8g/nnv|>y np9yx7tvc g#op¥gfx8oQgV!q e&±.gfxEyQ<§S® ng/nn|>y npÁ ªg]e]oQ¢g tvc g5Ày~~>yp <| ²y± ngfxv¥oQtv|>y, #tvc g/ng 7F#8H xgfe]oQ|}q 8c$oQ g/}|̯ Sg&/y n|> gfx£o]Æ3«Æ |>nf| ~| g Àyxj§®Én8g/nnv|>y n&¹Ê| ntgpo}yQ¾oVwSÙN |>nf| ~| gǼ_¦Ë-gnvc$oQ~~9tvc!q n£nvtvq u ±gf~>yp 7 tvc gÆ3«Æ |>nf| ~| g | nvtgpo¹ºgpoc²§®Ång/nnv|>yÂc$onS~>gf tvc %& ¼_¦<¹º¬jytgatvc$oQtStvc |>nªtvx8oQ nvºyxve]oQtv|>yN yAg/nSoQ~tgfxtvc gaytvc gfx eVyeVgf!tnǦ ¼ Ë |tvcÄtvc |>nKtvx8oQ n´Àyxve]oQtv|>yXtvc gN uA$oQeK|>/nVyQ5tvc g²§®*tvx8o¸·]²|>nKtvc$oQt#yQ7oQÄ{ CQ{ CAh² <|tvcÉo x8oQ ye gf!¥A|xy eVgf!t£Àyx
(145) tvc gngfxv¥Z|>/gtv|eVg×tvc g7| nvt8oQZt8oQ g/yq n5 gf$oQxvtvq xgx8oQtg&yQ¾§®°ng/nnv|>y n
(146) |>n 2 7 7¾ <c gfxg ¹´hǼ 7
(147) %& 7 , çéè3êçºë.
(148)
(149) !"#$
(150) %'&()* +%-,"#./#01
(151) 23546##7823 . . b c g
(152) xyZ/g/nn 2 7
(153) 2 7 (
(154) 2 7 79|>nªoQ#|xvxg/ q f|± ~>gj{oQxv¢yp¥V8c$oQ|X¦¯«¶t¯|>n¾gfxvyA |>|ÌoQ ]y ~u |Ìtvc g
(155) o/¥gfx8oQgjngfxv¥Z|>/g<poQ$of|t¶u]o/¥oQ|~PoQ± ~>gty£tvc g§®Hng/nnv|>y n|>n~PoQxvgfxªtvc$oQVtvc gf|xªoQxvxv|¥oQ~ x8oQtg % & # ¹À¼ % &
(156) %& )7 % & , Ë-g5onnvq eVgatvc$oQttvc |>n</y |tv|>y²|>nn8oQtv|>n´»$g/Á¦Ë-g£nvc yp È|ÙAg/ftv|>yN ¦hac yp ÈtyEpoQ~>fq ~PoQtg£tvc gaeVgpoQ Ö£wÄn8gfxv¥gfx
(157) yZ/fq $oQ fu 2 78¦byVg/nt8oQ± ~|>nvc²tvc goQ±yp¥g7nvt8oQ± |~|t¶uÂ/y |tv|>yX y g£e]o/u²nv|eK ~uÂq ng tvc g q |>s~|eK|t
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(165) / / )+7?> × tvc gfX ºxye tvc g£±$oQ~PoQ /g7gfq ¿ oQtv|>y nyQtvc g5{¤oQxv¢yǥ xyA/g/nn 2 78 tvc g nvt8oQtv|>y$oQxvus xy±$oQ± |~|tv|>g/An @,B
(166) °w 2 7
(167) :9 7ªn½oQtv|>n´Êu#tvc g5xgf~PoQtv|>y, # @,B 5
(168) @,B 9 =/') , ¹À ¼ 7Æ xye tvc g7oQ±.yÇ¥gg/¿Zq$oQ~|t¡u Sg7poQ/yeK q tgtvc g C @,B 7ªonÀy~~>yp np¦¯Æ$y"x ) 5 ;9 )! ~>gft. . oQ ºyxÂtvc gtgfxveVn <|tvc %
(169) @,B
(170) '2 C9 7@ "¦¯Ë-gaÊq xvtvc gfx
(171) g_» g 2 C9 7
(172). B = D.LNM H IKD!L?MPO = ) IKD.LNM H ( 9RQ Å Sg}q n8gNtvc g¤/y!¥gf!tv|>y 5
(173) T S ¦U7Æ xye ¹À ¼_< Sg}c$op¥g =ED.F = D.F!I GHJIKD.F V. êê u/ñfò½ò_ò. . W.
(174) ). V. ) 5.
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(178) 2 C9 7?> V ÀyxjoQ~~!9¾| 4 S ( ! oQ ²tvc g5± ~>yA¢A| ] xy±$oQ± |~|t¶usºyxjf~Ponn%sn8g/nnv|>y n |>ntvc g xy±$oQ± |~|t¡u}tvc$oQt 2 7ª|>nxgpoQtgfx£yx
(179) g/¿Zq$oQ~ty )Z <c |>8c}|>njg/¿!q$oQ~9ty Hw 2 7 ))78 <|tvc w 2 7 )+7
(180) V / V I / / V )+7?> V , ¹G¼ Ë-g7oQ~>nyE g/g/No&Àyxveq ~PoEºyx 2 78 tvc g£eVgpoQ²!q e&±.gfx
(181) yQngfxv¥gfxn<yA/fq |>g/²±!uNÖ£wÄn8g/nnv|>y n # 2 7
(182) W 9 2C 9 7 . X BX D H W W ) X X D LNM H Y,B X W W ) X X D.LNM H Y,B X W = ) V )+, X)X.
(183)
(184)
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(189) 2 7 7oQ ² gfxv|¥g5ºxye tvc gfxg5tvc go/¥gfx8oQg SoQ|tv| #tv|eVg7yQ§®Än8g/nnv|>y np¦ bc g$oQ|x 2 7
(190) 2 7 (
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(196)
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(198) 9/ -#/ 7 $
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(200) ¹ÀoQxvxv|¥oQ~ oQ Kngfxv¥A|>/g</yeK ~>gftv|>y . . ! #". . . . $. . &% ' #". ". &%(". *%. ) . ! #". " *% ". çéè3êçºë.
(201) .
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(205) 9 " JS-;9* !-7 ¹À¼ ÙZ|eK|~PoQxv~u tvc gje]oQtvxv|Ìr
(206) /yxvxg/nvy n¾tyEo& gf$oQxvtvq xgj|#tvc gj§®Å¿Zq gfq gZ <c |>8c#c$oQ gf nS <|tvc x8oQtg 2 7 7
(207) 2 7 7 %& tvc!q n
(208)
(209) 9. 9 7 %& JS ;9 !-7 ¹´ h
(210) ¼ «¶stvc gje]oQtvxv|Ìr Atvc g5yQµ.³¡ |PoQy$oQ~Xgf~>gfeVgf!tn
(211) oQxgatvc g£tvx8oQ nv|tv|>y²x8oQtg/n<yQ9tvc g5{¤oQxv¢yÇ¥] xyA/g/nn 2 789oQ tvc gV |PoQy$oQ~ªgf~>gfeVgf!tnEoQxgVnvq cCtvc$oQt7tvc gVgf~>gfeVgf!tn|CgpocHxyp yQ nq e1tTy ;pgfxy ¦ §g/poQq ng£ yEeVyxg£tvc$oQNy gÖ£wÄn8g/nnv|>y²poQ²~>gpo/¥g7yx
(212) oQxvxv|¥g7|Âtvc g5nuAnvtgfe oQt
(213) otv|eVg tvc g£e]oQtvxv|Ìr |>natvxv|> |PoQy$oQ~Í/yZt8oQ| | Ntvc g&ºy~~>yÇ <| Ngf~>gfeVgf!tnpX <|tvc 9¥oQxvuA| ±gft¡ Sg/gftvc gKoQ xy xv|PoQtg ±yq np¦ / 4 9 4 9 /1
(214) W ) C 9 ))7 ¹´hhǼ ) X X / 49 49
(215) 9 ¹´hp¼ 49 49
(216) " 9 7 & W ) ) C 9 ))7 9 ¹´hp ¼ . . . . . . . . . . . . . . . . . . . . X X. -Ë g] <xv|tg
(217) }9 <c gfxg ©|>noN |PoQy$oQ~¾e]oQtvxv|ÌrHoQ c$onoJ;pgfxy |PoQy$oQ~ͦ²¬aytg tvc$oQt<tvc g£ |PoQy$oQ~Xe]oQtvxv|Ìr |>n.yn|tv|¥g£oQ s|Z¥gfxvtv|± ~>g$oQ stvc$oQt |>n y ³Í gf!oQtv|¥goQ Âc$ontvc g n8oQeVg7yQµ.³¡ |PoQy$oQ~gf~>gfeVgf!tn£ontvc g7| » |tg/n|e]oQ~9gf gfx8oQtyxayQ 2 78¦Sbc g7e]oQtvxv|Ìr |>n|> gfZtv|>poQ~ ty Eg_r /gf t&ºyxtvc g |PoQy$oQ~Í <c |>cÅ|>nEnvq cÎtvc$oQtEtvc g# |PoQy$oQ~<yQ |>on ;pgfxy ¦¤Ë-g#poQÎ <xv|tg
(218) <|tvc .
(219) . . . . . . . . . . . . 9.
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(221) c$oQ|ÃpoQα.g] <xv|tvtgf @
(222) S ¦
(223) gft @ 4 @ 6S 7 (R@ 7 ( (R@ 7 ( <|tv< c @ #7
(224) 4 @ 6 S ( #7 (R@ +( 7 ( (R@ ( #7 ¦¯Ë-gaºq xvtvc gfx
(225) g_» g
(226). @4B
(227) W @ C9 ( 7. ¹´hp¼. . %. . %. *%. *%. *%. . " tvc g7nvt8oQtv|>y$oQxvus xy±$oQ± |~|t¶uNyQ3c$op¥Z| 9SÖ£wng/n8nv|>y n|Ntvc g7nvu nvtgfeN¦Ë-g£c$op¥g7tvc gf,# @ 6 S 7 / @ 7
(228)
(229) S @ 7 " / @ /' 7 / @ / 7
(230)
(231) S . *%. . . %. êê u/ñfò½ò_ò. . %. . %. . . . ¹´h8G¼ ¹´hǼ.
(232) h
(233). j>JVPmTVo0z# V"Wvm F&u X4
(234) % #.0 m W"Vo?W" . Ë-gK yÇ xg_Àgfx7ty²tvc g] ªyxv¢-y-e]oQtvxv|ÌrA³Íg/yeVgftvxv|>#{oQxv¢yp¥ xyA/g/nng/n xg/ngf!tg/C±!u-{ΦX¬agfq tn7| IþL K¡¦Æ xye tvc gsnvt8oQ± |~|t¶uH/y |tv|>y¹À¼oQ±.yÇ¥g ªgs¢A yp tvc$oQtE <c gf % & tvc gsnvtgpo uZ³¡nvt8oQtg |>nvtvxv|± q tv|>y- @g_rA|>nvtnÇ oQ ÂÊxye IþL K¡ |t<|>nc$oQx8oftgfxv<| ;pg/}±!u @ 7
(235) @ 6 S 7 ( ¹´ h ¼ <c gfxg5tvc g5e]oQtvxv|Ìr |>ntvc g5eK| |e&q e y ³Í gf!oQtv|¥gny~q tv|>yyQtvc g5g/¿!q$oQtv|>y "/ / /
(236)
(237)
(238) S , ¹´hp¼ bc g7oQ±yp¥g5g/¿Zq$oQtv|>y²|>n<g/¿!q |¥oQ~>gf!t<ty
(239) " / /
(240)
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(242) S ¹À
(243) ¼ 5
(244) " / /
(245)
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(249) ¢Z yÇ <±!usyq x
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(254) 4 " ( ( ( D H nvq 8cNtvc$oQt<Àyx
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(256) 2 7
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