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Performance Analysis of Stochastic Timed Petri Nets using Linear

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(1)Performance Analysis of Stochastic Timed Petri Nets using Linear Zhen Liu. To cite this version: Zhen Liu. Performance Analysis of Stochastic Timed Petri Nets using Linear. RR-2642, INRIA. 1995. �inria-00074048�. HAL Id: inria-00074048 https://hal.inria.fr/inria-00074048 Submitted on 24 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. Performance Analysis of Stochastic Timed Petri Nets using Linear Programming Approach Zhen Liu. N˚ 2642 Aouˆt 1995. PROGRAMME 1. ISSN 0249-6399. apport de recherche.

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(350) XPŒ.  

(351)   !"#$% &'(*)+

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(353) .  . Wµ˜”• &” Iµ ?”“ #'$ )  V'`. + E.  .

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(355) A!0B$& +3 ?  :R©&|£`‘_™e&¢¤VRhyhaŸª¥˜oCM¢o     6   kr¢^$VRKV—kEQPe c$euc0QTh£k     87ªMPK   :8_a›#

(356) ($)! + 7ªeVbVV—© Nž©Y< O†=:x`d^0QT`QTo˜t  $% J&F-

(357)  >  %S 9›IKMPS `^$V§_ao_a`_ QTh&SšQTK¥q_yo$N ]TQTo lV#¢K_a``VRo . .

(358) . . . . . QPe. #. . # . 7ÁXP‹:. /. ¢^$VRKVZ`^$VeucfV'K'e]'Kd_yf` # nVRo$MP`Vbex`^CV#`KRQToCeufMOeV#MPfVRKRQT`MPKrk0QTo$n}`^$VO7ª]bMPhycSUo :°mV]R`MPK ]MPKdŸ KVbeufMPo$ne `M5`d^$V ;K_ao$N5edV³mc$VRo$]V`'M±KVrQP]^ 7MPK#SWMPKVfKVb]R_™eVRhatmkC`^CV°mV]R`MPKMP›,oqcSlV'K'e‚MP› ;K_ao$NOeZMP›,VTQP]^ `KRQToCeu_y`d_™MPo/_ao MPKnVRK‚`'M¡KVrQP]^ :R©§&VR` _ao 7ÁXP‹:l8V`^$V§KRQToCnMPS:°mQTKd_IQTlhjV§MP› `^$V SšQTK¥q_yoCN_yo}`d^$VZeu`RQT`_jMPo0QTKtUKVbNP_ySWV—©‘x^CV'o k˜lqt±`QT¥˜_ao$NVRs˜fVb]'`RQT`d_™MPoš_yo 7ÁXP‹:g¢¤V§MPl`RQT_ao C # #  #  7¨ ] : ¢^$VRKV 

(359) "!  2$.+/*G© 5 MP`V`^8QT ` !  + žk $+UkQTKVo$VR¢hat_yoq`KMqnvc$]bVbnco¥qo$M¢oU°mQTKd_IQTlhjVbeb© € VR¢K_a`_yoC

(360) N 7¨ ] :g_ao/e]rQTh QTK›ªMPKS tq_™VRhjne >       !

(361) )   A  !

(362)    !,+  7¨ mX :. . . AD  . . $#. % '  &!. D .   (&  !*)  ,+.- 0/. 21,31 &5476

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(364) XP†. BGL. [o$MP`^CV'K]MPo$edV³mc$VRo$]V _je > ;. . .      + AD. eM`^8QT`. > . +. . . 6   . AD.  A E   . AD. .  A  . . .  D. . 7¨ P‡ :. . !+3 . [ ]b]MPK'nv_yoCN`M`^$V KVRhIQT`d_™MPo   #" %$ '&)( +*,- %   #" 1$ 3254 #*6,D   D /   QToCn   )@Gm©®¤^$V'K'V'›ªMPK'VOk

(365)    5  +   $>+/  ! + 1 $)

(366)     G 5    $>+/  ! +  $). 

(367). . _a›   mG k`^$VRo . +. #.

(368). .  . .

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(370) 7   G  9*& + . $>+G ! + 1 $)  $.+/ ! +. 7¨ OŒ: 7¨ O†:. $ . §“E¹$” # #IR’*#I• #'&µ & ” #™’ #Iµ˜ ) [ ]b]bMPKnv_ao$N`M g ^$VRKo$M  ge _ao$Vb³—c8QThy_a`£t˜k—¢¤V§NOVR`›ªMPK QThah 5 .

(371)

(372) . 5 +. . > 5. . G= . ¢^$VRKVƒ_™e,`^$V 

(373) UMPfVRKRQT`_jMPo © $MPKlMPcoCnVnUfh QP]Vb# e !‘k     k˜¢xVŠ^0Q'°mVZ›ªMPKZQThah 5 >.     

(374)

(375) : ! 9 !

(376)

(377)     :! 9 !

(378) 75 @G  

(379)

(380)  :!

(381) 75 @G 

(382)

(383)  5

(384)   5  G 

(385)

(386). . . . . . . . :

(387) 9 . . Gmk +.  . . . .

(388) 

(389). . . .  . .

(390). :

(391) 9 @G   

(392)

(393)   + 5   5  G . Gmk 7¨ ^:. !,+  . +. . .

(394)  +. 5. . . . ÙIÜ Ý8ÙIÞ.

(395) X^.  

(396)   !"#$% &'(*)+

(397) ,-./'102'. x^$VRKVR›ªMPKV—k MPKrkV³mc_a°mQThjV'oq`hatmk.   5.

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