Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process Zhen Liu, Philippe Nain, Don Towsley, Zhi-Li Zhang. N˚ 3230 Août 1997. THÈME 1. ISSN 0249-6399. apport de recherche.
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(106) fNgj t©Vªvj3tv9 è ". <1. 3. B. $. 143. 3 ': 6. 3. . $. $. . 3$. ):. ):. . . :. . ':. 3$. $. $. ):. $. c . c "0. "-. 3 $. $. 3 $. 5 n 3E': 6+?" E': ,. ¼Pc,3 E': 2546 c "- . c "0. ,3 ':. $. ". )3. $. q}z}C eyz}|/~ P. '. ':. 143 $. $. ':. $. 143. . ':. 3. . . 3. ):. $. ):. 2546. . 143 $. Y Bn Y. 1" 3. j. 3 $. Ï 1 " 3 Ì!Ï !:. " - 2546 .. .. j. ):. "0 "-. c. . B n V. $ 143. 52 46 Í/1J L v . Ï !1 " 3 Ì°Ï Ì c B n V j 0 Ü\u©9¡ qxs®xsu\x{® 1 " 3 ¬´`} ´ËNÌ²Í vj Ï ® Q` Sy¨®jr 9q Li ÂÁ xN qSqjrj¬´}{vi ÛAjikit ÁîÐ 9¥jr9\®w »x{g9txSxsgj7qu9}sjri ui xsgjÊ}rÁ gÁ qÁEv¬ L ´}{jrqsÁ èi ³ è 7 qÐqxs}{¤Âxs y¯V`qs x{®ª`jk ¬*t9>v9®y¯®¬¼ c G $ Á quF<®jrGx dv¥\ x{®`ɬ´`} ¼ c G $ q x{g9txÊÆ ¼fgjrG $ Ë7Ì QjvÁÍ°9ÁÿÎ:¼Ï`|E³
(107) t}{jrjd®xsjr )vtª¨9¤0¼tv9g¥µtvq)ÛAt È9=rtv®}xsjÐ6 vj\w\³~¥j^fNÂgx{tj`xs }svjr i Qqsl`jl jÐ:SÛAg¥jt«ikªvji\tkjr}s Á ªv j^´²© tÅÂÁ xs vgGxsjr} ¦Sjr} ©Vvu99 ¦*®xsg&x{gj qstvikj7\j^t«y¬´u99Âx{®` ¼ c X©u\x¦*®xsgÅt0 tv}s`j}Nd¨j <d jGx^ÁEfNg9jЩ¥`u9;®l6î;: g9t`Âvx{¤u9qt ®9yµ}st`ª¨qs¤qs\ujrik§jx{g9x{g9txtx oV V q}Ï;z}e ©
(108) u cx4q}x{z{e[g qkz{| t`~ qsqs $u ik¼ \c xs v°·º t¼ °c ©¥j&¦)jrtR `jj^jr²®jrxsvª¨¤t9R°Ú) ÛA¬Êt qs=r9t³E}Ax{g6îj; : x{9gvj \¶Ù®G¥j^d<}{jrdtv qsj Gx9³®¬ExXx{ gqXjjr tv}qs yЦSx{ jr}qjr©VjSv¬´u}{9vi ÛÉjrfNi0gijrvtÐ}{ ji Á Êlvx{g9lÐtg9x t` q*xs R ©¥j qEi4j^±`uu9®xs®ª t® jjrG¯x~©Gx{y P¼ c-dÁG ܨ$;®¥3Ádj P¼ j9cÐjv q ³ x{gjЩVvu99qN®Å|~}{vV`qs x{®`&9Á 0tv9 l 6 v; :
(109) tv}sj7v¶Lx{}s ª¨ tvñ ¬~t9;v9®y®¬XP¼ c-G $;Á × × Q\ Ô ! &P¼ c!G $ t _ q}z{e[z{| ~ q}sA IÌ ´Ë)Ì²Í Ì!Ï Ll Ì q}st ¼ c iP Æ gjr°ÀSv}{v tv}sy¯9Á®ltv ®j^q xsgj ¦)j}ЩVvu9² §xsgj}^Á gÁ qrÁv¬ Ll 7¤qÐj^tvqs®jr} xs¯d`iku\xsj x{ g9tzkl`l x{)gjt9 ;¦) j }XL©Vvl uS¥tv}sj7®;x{g|~j }s`qstv¥ikGqj ®xst` vqN}sjr9¥Á®l`}©x{u\jrxS i©¥jrt«®y0¦ dÁxS©¥j7tvq~x{®`gGx c¬´`})¼ |Et}{jdx{ ©Vxsg ©¥`u9q
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(114) &j Ï QËNÌ>Í j `j Ï IÏ xs`vjdx{gj}*¦*®xsg q}z}e M LËNÌ²Í j* j Ï zº VÏvÁ ´ \ Ó × Æ>jÐg¥t«ªvj ¼ ;¬´v}qsvik7j ÇÏvÁEÆ>j t`qsqsuikj7xsg9tx ÇÏ qs0xsg9txʼ g9tvq)È¥ x{jÐjdw\VjrÂx'tx{®` TEÁ~ƲjÐg9t«ª`j ¼ c b"c º ¯Ì!Ï Lv }{vi èi )¦Sj vjx `j Ï * c bdc _ ´ ) Ë ² Ì Í j q}z{e[z{| ~ ^ n Í L Ë)Ì²Í j Ï iP S> bdc b"c ¡ 9t}sxs¤du¤t}^³¨ ¬~ËN̲ÍÎÃÏ x{gj Qd¬zÁ LP H c _ Ï q z{e[z{| ~ > bdc Í Ë)Ì²Í j Ï LP ;P }{vi L ´v}|X}s`¥Gq®xs v&Á ;l OkÀSv}{v tv}sy9Á®l ÿ¦)j vjx q z{e[z{| ~ q}stÏ q s0t _ sÌ j Ï ´Ë)Ì>Í `j Ï L ;P ´ Ó ´ Æ>jg9t«ª`j ¼
(115) ¬´v}Ðqsvik\j RÉ Î µÎ Ïkt9 RÁkܨ i09®jtv®`j©}'t y¨®jr ¼ c c º / P LG |~\¨}{vjrqNV`qsv xx{®`t;9®y Áî qsyG 9 jd¤jqN¼ t cxsG }{®ª¨$ ¤ta®¦)j})©Vvu9Á Sy|X}s`¥Gq®xs v&Á lʦ)jÊ`jdx èÀS`}s`®¤t}{yÁ l q}z}eyz}|/~ Ï q}st _ I Ì z{| ~ n QË)Ì>Í j
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(124) × § fNgj&Á ñÁ ¬zÁ!¼ ¬7tÉ}^Á ªamÁ T»¤q w ¬ T V'*) hF c w ¦*g9j}{j q t tvu9qsqs¤tµ}^Á ªaÁÉw ¦* ®xsg i0j^t +»tv9µªt}{¤t9j Á§fNgjA³ ¼ I vº q}st ¯Ì + {Á }{vi x{g q¦Sj vjx ¼ c T I q s0t Ì + w w ` |~}{vV`qs x{®` Áî y¨®jr 9qSt xs}{®ª¨¤t9 ¦)j}ÿ©Vvu99ñÁ }{vi |~}{vV`qs x{®` Á l ÙÀSv}{v tv}sy0Á l\¨jrq xtv y qs®9j P¼ c G $ N¦Sj g9t«ª`j q}z}eyz{| ~ Ï w q s0t _ IÌ QË)Ì>Í vw j Ï 9l 3. :. 3. :. <. . 3. . 3 8 :. 3. 8 :. 3. 0>. ). 38. :. 3. :. . "%$'&)(*$,+.-0/," 3 : . 3 8 : 73 #:. . (
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(143) X Ó × Ø 7 E\ ¼ D'¼ c G r/ Í q}z}eS F _ c Y Í j Ë)̲ Í ¼ ;P 143. 68 :. 6. 8 :. . . -. _. 143. /. (. 143. `. 698 :. . . (. . 3 8 :. A/,+
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(152) }) ' r. ÛAjdx u9q qg¦ xsg9tx 5 n Á®l ´ ® S¦Sj7È9¥ 143. . 6. q z{e iP. 13. ¼. 5 n2698 : c. Í ¼ c sÁ }{vi x{gj \jÈ9®xs v§¬ 5 n Qqsjj . 8 :. . ,.. }q z}e iP. 38 :. V. 3 8 :. .. B. ¼ c $ Ì ¼c. $0 c. 38. % :. 38 :. B n. B n V % : j. 143. 143. ¼. t9§Ûjrikikt. . ! . . . /)( &. c. 8 : /1. 6. 38 :. $ }q z}e . 3 % Y 8 : ¼ c 3 c 8 Ì % : 143B n V % : 08 ¼ 3 8 : iP $ 0 c 2 ¦*g9j}{j +8 ¬´n v ®¦qA¬´}{vi xsg9jS¬Qt`Âxxsg9txkB n \j^d}{jrt`qj^qAjw¨Vv9jGxs¤t ®y7¬Qt`qzxxsR Qg `x A©¨y4ÀSgjr}svÑ? q ©Vvu99 143B 6 8 :HY hF 3QÍ 3 h/ 3 u :*ÌÏ!: : h/ 3Ìx)u 8 :4¬´`};t u 6 R ³ 8 R ¦*g¤'g» i09® jrq x{g9txq}z}e / iP 143B c n 6 8 :·º ¼ c 3 8 :V ÉR c ©¨y 6 l;¨³)Ûjikit°l ´© Ù: Áy) y£t9®y¨ ²ÛAjikitH¥Á®l Qt ¦*®/ xsg 38 :WV ¼ 3 8>Ì@Ï): tv9y ļ Qx{jxsg9txxsg¤q jikitµt$ jrqk¦*®xsg Ë / V ÏÅq 9dj 38 :zº 43 8 : Ï&q 9djż c G & ¦)j&g9t«ªvj% 3 % :oV 3 % Y 8 : ¼ c 3 8>Ì % :·º ¼ c 3 8 : & % tvq 8 & ½ ¬´v}Njrt`'g % IÏ`Ú`¬´u9}x{gj}{ikv}{jv³¨¦Sj qsjjʬ´}s`i,Ûjik2 it(9Á l ´© ~x{g9txNxsg9j}{jÊjw¨¤qx{qNt4v9qx{tvGx Ë n ν $ ³)®¥\n jVj9% jGx¬ % ³)qsu9'g xsg9tx W L$ 38 : W Y Ë n I $ ¬´`}t ?8 R ³ % V Ï01D IFD^^ Á»Ü¨ 9dj I 143B V : V q)È¥ x{jЦSj it«yx{gj}{jd¬´`}sjÐt9®yxsgjЩVvu¥\jrd`¨ªvj}{vjr9djxsgjrv}{ji x{0$ xs0 gcjÐ}^Á gAÁ qrÁ~¬< 08 ÿxsk È99tv® y`jdx q z{e 193 5 c n268 : V . % 143B n V % : » V Í1 ` iP ¼ 38 : $0 c ÛAjdx*u9q*9¦»¬´\du9qv 1 F C
(153) C6 0 c 5 6 ̲ËE ' 68 ' ¦*g9j 8Å q tv}s`jvÁ ÊjdÈ99j V F C
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