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引用本文:�̻ۻ�,ë����.����ά�DZ���Jackson����ļ�����Ϊ[J].应用概率统计,2016,32(4):433-440.
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摘    要:

关 键 词:Jackson????  ??????Jackson????  ??????  ???????  

Long-Time Behavior of Non-Ergodic Infinite Jackosn Network
CHENG Huihui,MAO Yonghua.Long-Time Behavior of Non-Ergodic Infinite Jackosn Network[J].Chinese Journal of Applied Probability and Statisties,2016,32(4):433-440.
Authors:CHENG Huihui  MAO Yonghua
Institution:School of Mathematics and Information Science, North China University of Water Resources and Electric Power; School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems of Ministry of Education, Beijing Normal University
Abstract:??For the infinite Jackson network, assume that the net input rates are greater than the service rates for some nodes. Via solving the new throughput equation, the stochastic comparable processes are obtained by coupling method, and furthermore the limits for the queueing length in all nodes are also obtained. Despite the whole network is non-ergodic, it is possible to get the maximal ergodic subnetwork.
Keywords:Jackson network  nonlinear Jackson equation  stochastic
  comparison  non-ergodicity  
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