Simulation Analysis and Fixed Point Approach for Multiplexed TCP flows
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Simulation Analysis and Fixed Point Approach for Multiplexed TCP flows Urtzi Ayesta ,Konstantin Avrachenkov , Eitan Altman , Chadi Barakat , Parijat Dube ,. N° 4749 Fevrier 2003. ISSN 0249-6399. ISRN INRIA/RR--4749--FR+ENG. THÈME 1. apport de recherche.
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(82) l¹F©\Å ¥\Å µ }À¸2lMw¹M½}\}+y[HB}§}&wMÁy\}i& }Çh MH¸ & }& o¹M\½ Vy\}il ½?} oMF}&¹§H ¹|~}p }Ï }H}p Rë }&}Á¦M¬l}Ép¨ S Å%ËÍlM\pÎh¸2}Ï ¾ }§}yly\}Ϥ\| ¾ }&ÇB¬? }p Q[¹l¬Ïyl}O|HM|\| §HM\}Çzy\}}&MMÈM }&¿FlhÏy\} H¹ ¾ } ¸2}}&¶y\} ?}& ~¹M\½»l |i MJM|~}ÁlJyl}w=§}&¬}O[ ½}¹F}&M§=2M|i}ÒHyl} ¾ M}l}& ½ l¤\}Åoxzyl}M?}\} M1Ça?y\M o VylHy\}i ?}H¹? o¹Fl}& ¾ 1l ½?} [M o }&? My\}¼¹H¸ ¼Fz\yl? }Ça|y\}+ |~}
(83) }& 2¹M\½DÅ W} Wl W\H¸È} \MM
(84) |~}`} Myl}h? }}&\}pB¹+¦ M¬\}h¨Åxzy\}h |~}.y\M\½¤M\¬V\l¹M}& ~y\}yl} l¬?\}p " "¸2}MàÅhËÍy\}À }BÇ` MH¸ }& z¹M\½G R ,+.- /+Z 3! S y\}+MF}&¹§H ¹|~}M ¾ MO\?M&M¹~ ?¹lM\}& ¸"¹yOy\}o} Q\}&?MëÅ µ ¹yy\}Ml}p }VÇRy\}o? }p MM\½lÆÀy\}l? ½} 2¹F} M§Hl ¾ \M i\}§¤M}Ça?| y\}} [?\}FM[?\}Å ËÍÏ[ \pÎl?\}Á }&}
(85) yl}Àl[}p l}
(86) Ç }l ¹Áy\}iM ¾ M1Çall¹?ÊÅVËÍÏy\}À& } ÇÑ& }p M¹\½Ò[ ¹M}& |~¹M}ylÒy\}~?\}ÀMÒy\} ¾ ¹}&\}& @ ½ Rë }&} +.- 2 Z 3 ! S y\}&}. BDC aEB ã.
(87) £. 1. 1. 0.9. 0.9. 0.8. 0.8. 0.7. 0.7. 0.6. 0.6. PDF(t). PDF(t).
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(92) lM?©\Å ¥ MM \½ Îl.} l¹}+ M·}
(93) lM??O©\Å W 1 0.9. 0.9. 0.8. 0.8. 0.7. 0.7. 0.6. PDF(t). 1. PDF(t). 0.6. 0.5 0.4. 0.5. C =2Mbps access link Caccess link=50Mbps C =200Mbps access link Caccess link=2000Mbps. 0.3. 0.4. Caccess link=2Mbps C =50Mbps access link Caccess link=200Mbps Caccess link=2000Mbps. 0.3 0.2. 0.2. Exponential Distribution. 0.1. Exponential Distribution. 0.1 0 0. 1. 2. time (sec). 3 −4. x 10. ¦ M¬\}Ä+K Y2M}\}p ½ &©©F ¾ l &Îp©©J}& ¦ M¬\}Ä&©XK Y2¹}&\}& ½ p©©F ¾ l &Îp©©Ä}& M M\½ Î.} l¹}z ¹·&}ÎM??©\Å ¥\Î=§?} ¬?} l¹}" ¹·&} MM\½ Î\.} l¹}+ M·}
(94) lM?©\Å ª ?ª ©'A5Y2F}p 0 0. 0.1. 0.2. 0.3. 0.4. 0.5. time (sec). 0.6. 0.7. 0.8. 0.9. 1. −3. x 10. V?\M?\} }Ò }& [?lM\¬iy\}+l |~ MM|~}Ç.y\}À? }p V¹M\½DÅ µ }Ï} \M y\ ¬FM ¾ wy\}OÇS +yll? ½}
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(100) Ça| y\} |~}?}& `¹M\½DÅ`xzy\}o ¾ H§?}" ¾ }§HH¹?l .\|~Ñ[ `À\\=¹|}"My\} & }Çy\M¬y}& hMM\½yl}M\\\zl }p 2Hzy\} ¾ M}\}p ½O¿F\}l}? 2 ¾ yM§=[l }p Rë }&}+¼¤}& M1¢iÇa"|~}
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