Fair Bandwidth allocation between service providers in a geostationary satellite network
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Fair Bandwidth allocation between service providers in a geostationary satellite network Corinne Touati — Eitan Altman — Jérôme Galtier. N° 4421 Mars 2002. ISSN 0249-6399. ISRN INRIA/RR--4421--FR+ENG. THÈME 1. apport de recherche.
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(56) ##"" && ÂÁ##"" ÆÅ'&'& ÂÁ ÆÅ )()( Ç )()( -,-, ÈÇ )()( Ë-,-, ÈÇ ÌË & '& . α=10 α=5 α=1 α=0.5 α=0. Spot 1. *)*) ) **)*) *)) 3443 54343 65 21 21 ôóôó 21 55 21 6565 SRUTSRVôóòñòñSRUTSR õõWV ôóòñòñ öõöõ 21 5 21 65 õ õ SRSRVVòñSRSR õWVWV òñ öõö ,+.-+ / ,+.-+ 0/ VWV ,,+ / ,,+ /0 ONONPìëîíìëONON ïïQP ìëîíìë ðïðï ,+ // ,+ 0/0/ M§¦ LML §¦ PìëìëMLML ïQP ìëìë ðï ML PPML ïQPPQ ðï ¤¥¤¥ ¤¥¤¥ # $$#$# $#$# $#$# $#$#. Spot 2. âà âãáà âãáà óóôóó ôóó õ ààáàà áàà ññôòññ ôòññ öõö áá òñòñ òòñ öõ + , *)*)àà,+*)*) àááà ,+*)*) .-.- àááà ññòññ òññ öõöõ ))* à))* áà ))* .-.- áà òñòñ òòñ öõ * * ññòññ òññ öõöõ *)*) **) .tsrq *)tsrq ÜÚ *)tsrq vuvu ÝÜÛÚ *) .- ÝÜÛÚ ññ°¯®®òòññ gg °¯®®òòññ öõõö hghg °¯®® ²±²± hghg ji q r rq Úrq ÚÛ ÚÛ ññ®®òòññ ee®®òòññ öõöõ fefe ®® ²±²± fefe jiij »rqrq¼»&%&$#%rqrq¼» ÚÚ&%&$#%rqrq vuvu ÛÚÛÚ &%&$#% (' ÛÚÛÚ ññ®®òòññ ee®®òòññ öõöõ fefe ®® ²±²± ×Ö fefe jiji ×Ö ×Ö Ù »¹¹rqrq¼»º¹º¹ $#$#rqrq¼»º¹º¹ ¾½¾½ ÚÚ$#$#rqrq vuvu ÛÚÛÚ $#$# ('(' ÛÚÛÚ ññ®®òòññ ee®®òòññ öõöõ ffee ®® ±²²± ×ÖÕÔ ffee jiji ×ÖÕÔ "!"! ×ÖÕÔ ØÙØ ¹¹nmº¹º¹ $#$#nmº¹º¹ ¾½¾½ ÚÚ$#$#nm ÛÚÛÚ $#$# ('(' ÛÚÛÚ ññ®®òòññ aa®®òòññ öõõö baa ®® ²±²± ÕÔÑÐ baa c ÕÔÑÐ "! ÕÔÑÐ ¹¹nmlkº¹º¹ $#$#nmlkº¹º¹ ¾½¾½ ÚÚ$#$#nmlk popo ÚÛÚÛ $#$# ('(' ÚÛÚÛ ññ©òòññ __©òòññ öõöõ b`_`_ © « ÑÐÏÏÎÎb`_`_ ddcc ÑÐÏÏÎÎ ÑÐÏÏÎÎ üûúùúù ÓÒÓÒ üûúùúù lklk üûúùúù þýþý $#$#lklk ÚÚ$#$#lklk popo ÛÚÛÚ $#$# ('(' ÛÚÛÚ ññ¨§ª¨§òñòñ __¨§ª¨§òñòñ öõöõ `_`_ ¨§ª¨§ ¬«¬« ÏÎ`_`_ dcdc ÏÎ ÏÎ úùúù ÓÒÓÒ µ³³úùúùklkl¶µ´³´³ úùúù ýþýþ $#klkl¶µ´³´³ ¸·¸· $#klkl popo $# ('(' ññ¨§¨§òòññ__¨§¨§òòññ öõöõ `_`_ ¨§¨§ ¬¬«« `_`_ ddcc ³lk´³ lk´³ ¸·¸· lk ò ò ¬ d ï﨧¨§ðïï ¨§¨§ðïï ¨§¨§ ¬« ø÷ ø÷ ø÷ ðð. α=10 α=5 α=1 α=0.5 α=0. *)*). äåä ååä åäåä ßÞßÞ ßÞßÞ. îïïî ïîïî íì íì 876556 íìíì876556 :9:9 íìíì 5 6 65 ÈÇÆÅÆÅ~~}} ÈÇÆÅÆÅ ÊÉÊÉ 65~~}} è65 :9:9 è Å ~} Å ~} éé ÆÅÆÆÅÆ ÊÉÊÉ 210/ éèçæçæ210/ 43 éèçæçæ zy /0/0zy |{ çæ/0/0 43 çæ ÂÁÀ¿xxww ÂÁÀ¿ Äà 0/xxww |{ 0/ 43 À¿À¿ xw À¿À¿ ÄÃÄà xw |{|{ 43 ÿÿ À¿ÿÿ À¿ Äà ßÞßÞ Þ ßßÞßÞ ßÞßÞ ßÞ. Spot 5. ëêëê. ëêëê. ñðñð. ñðñð. EFE EFE FDC FDC DCDC ¦¥¤£CDDC ¦¥¤£ ¨§¨§ CDDC ¤£¤£DC ¤£¤£ ¨§ DC ¤£¤£DCDC ¤£¤£ ¨¨§§ DCDC C C ¤£¤£ D? ¤£¤£ ¨§¨§ D? ¤£ @>== ¤£ ¨§ @>== >> . gfededhhgfeded ihih >=>= ¢¡¢¡ >=>= ded hdde ih ==> ¢¡¢¡ =>= eedhÿeed ih ÿ >>= ¢¡ >>= edhþþýýed ih þþýý >= ¢¡ >= ³²±° µ´µ´ _^a`^ ³²±° hbµ´µ´ þýþý_^a`^ ihcb þýþý >=>= ¢¡¢¡ >=>= ±°°± µ´ __^ ±°°± bµ´ þý__^ cb þý ¢¡ ±°±°µ´µ´ _^_^ ±°±° bbµ´µ´ þý_^_^ cbcb þý bcb ¯®¯® HGHG HGHG HGHG HGGH HG BABA BABA.
(57)
(58) kjmlkj on
(59) kjmlkj on ¬«¬«
(60) . ¬«¬« ® kjkjonon kjkj onon ªª©© . JILKIªª©© NM®® JILKI NM kjkjonon kjkj onon ª©ª©. JJIIª©ª© MNMN®® JJII MNMN j on j on ª© Jª© NM® J NM ·¶¹¸·¶ºkjkkj·¶¹¸·¶ onon»º kjkkj onon ª© . ª© ® ·¶·¶ººkj·¶·¶ onon»º»º kj onon º»º BABA BABA BABA BA. Spot 3. ÔÒÑÓ ÔÓÒÑ ÖÕÖÕ ÒÑ ÒÑ ÖÕ ÒÑÒÑ ÒÑÒÑ ÖÕÖÕ BA BA ÒÑ ÒÑ DCBABA ûúùøDCBABA FEFE ûúùø BA BA FE ÎÍÌËÌË ÎÍÌËÌË ÐÏÐÏ = õôõôòó= ? õôõôòó ÌËÌË ÌËÌË ÐÏÐÏ ><;<; ><;<; @?@ ÌËÌË ÌËÌË ÐÏÐÏ ÐÏ. ÅÄÃÂàÇÆÇÆ ÅÄÃÂàÇÆÇÆ ÃÂÃÂÇÆ ÃÂàÇÆ ÃÂÃÂÇÆÇÆ ÃÂàÇÆÇÆ ÃÂàÇÆÇÆ ÃÂàÇÆÇÆ ÃÂàÇÇÆÆ xy ÃÂàÇÇÆÆ xy ÃÂÃÂÇÆÇÆ yxwvv ÃÂàzzÇÆÇÆ yxwvv {z{z ÃÂÃÂÇÆÇÆ vwvw ÃÂàzzÇÆÇÆ vwvw {z{z ··¸ ¹ ··¸ ¹ Z ÃÂàÇÆÇÆ wwvv ÃÂàzzÇÆÇÆ wwvv {z{z ¸¶µ¶µ ºº¹¹ XWVUVU ¸¶µ¶µ YYºº¹¹ XWVUVU YZY ÇÆ wqp ÇÆ wqp ¶µ º RQ ¶µ º RQ T ¿¾½¼ ÁÀÁÀ srqpqp ¿¾½¼ ttÁÀÁÀ srqpqp utut ²±°¯°¯ ´³´³ RQPOPO ²±°¯°¯ SS´³´³ RQPOPO STS ¼½¼ ÁÀ qp ¼½¼ tÁÀ qp ut °¯°¯ ´³ °¯°¯ ´³ ½½¼ ÁÀ qp ½½¼ ttÁÀ qp utt ½¼½¼ÁÀÁÀ qpqp ½¼½¼ tÁÀÁÀ qpqp uut ÀÁ ÀÁ Spot 4.
(61)
(62)
(63)
(64)
(65)
(66) US
(67)
(68)
(69) VUTS WW
(70)
(71)
(72) VUTS XWW
(73)
(74)
(75) SS
(76) TSS W
(77) TSS XXW
(78) S
(79) TTS W
(80) TTS WX
(81) SS
(82)
(83)
(84) TSTS WWW
(85)
(86)
(87) TSTS XWXWW
(88)
(89)
(90) SS
(91) SST W
(92) SST XXW
(93) åæåSæå
(94) TTS W
(95) TTS XW
(96) àßÞÝ àßÞÝ âá àßÞÝ âá ÞÝÞÝ ÞÝÞÝ âáâá PO ÞÝÞÝ âáâá PO PO åãã æåäãäã çç SSæåäãäã èçèç
(97)
(98) TSTS WW
(99)
(100) TSTS XWXW
(101)
(102) á á â â Ù××ÚÙØ×Ø× ÛÛIIG ÚÙØ×Ø× ÜÛÛ JIJIHG K JIJIHG LK ÞÝÞÝ ÞÝÞÝ âá PONMNMÞÝÞÝ âá PONMNM RQRQ PONMNM RQRQ . ãã äãäã çç SSäãäã èçèç
(103)
(104) TSTS WW
(105)
(106) TSTS WXXW
(107)
(108) KKL Ý Ý âá Ý âá Q Q ã ã çã èç
(109) W
(110) XW
(111) ××Ø×× ÛG Ø×× ÜÜÛ Ø×Ø× ÛG ØØ× ÜÛ ÿþÿþHGHG KK ÿþÿþHGHG LKLK ÿþÿþ ÞÝÞÝ ÞÝÞÝ âáâá NMNM ÞÝÞÝ âáâá NMNM RQRQ NMNM RQRQ . ãã äãäã çç SSäãäã èçèç
(112)
(113) STST WW
(114)
(115) STST XWXW
(116)
(117) ××Ø×× ÛÛ GGØ×× ÜÛÜÛ ÿþHGGH KK ÿþHGGH LKK ÿþ ÞÞÝ ÞÞÝ âáâá NMNM ÞÞÝ âáâá NMNM RRQ NMNM RRQ . ã ääã çç SSääã èçèç
(118)
(119) TSTS WW
(120)
(121) TSTS XWXW
(122)
(123) Ø Û GØ Û HG HG L ÞÝÞÝ á NM ÞÝ á NM RQ NM RQ ãäã Säã TS TS
(124) ××
(125) Ø×Ø×
(126) ÛÛ Ø×Ø× ÜÜÛÜÛ K LK ÞÝÞÝÞÝÞÝ ââáá NMNM ÞÝÞÝ ââáá NMNM RQRQ NMNM RQRQ ãã äãäã ççç Säãäã èçèçç TS WW TS WXWX
(127)
(128) ×
(129)
(130) Ø×
(131)
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