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IPP+M/M/C排队的遍历性(英文)
引用本文:李晓花,侯振挺.IPP+M/M/C排队的遍历性(英文)[J].数学季刊,2011(3):350-354.
作者姓名:李晓花  侯振挺
作者单位:School of Science;Beijing University of Posts and Telecommunications;School of Mathematics;Central South University;
基金项目:Supported by the Chinese Universities Scientific Fund(BUPT2009RC0707,BUPT2011RC0703)
摘    要:The IP P+M/M/c queueing system has been extensively used in the modern communication system.The existence and uniqueness of stationary distribution of the queue length L(t)for IP P+M/M/1 queue has been proved in10].In this paper,we shall give the su?cient and necessary conditions of l-ergodicity,geometric ergodicity,and prove that they are neither uniformly polynomial ergodicity nor strong ergodicity.

关 键 词:queueing  theory  ergodicity  Markov  chain

Ergodicity of the IP P+M/M/c Queue
LI Xiao-hua,HOU Zhen-ting.Ergodicity of the IP P+M/M/c Queue[J].Chinese Quarterly Journal of Mathematics,2011(3):350-354.
Authors:LI Xiao-hua  HOU Zhen-ting
Institution:LI Xiao-hua1,HOU Zhen-ting2 (1.School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China,2.School of Mathematics,Central South University,Changsha 410075,China)
Abstract:The IP P+M/M/c queueing system has been extensively used in the modern communication system.The existence and uniqueness of stationary distribution of the queue length L(t)for IP P+M/M/1 queue has been proved in10].In this paper,we shall give the su?cient and necessary conditions of l-ergodicity,geometric ergodicity,and prove that they are neither uniformly polynomial ergodicity nor strong ergodicity.
Keywords:queueing theory  ergodicity  Markov chain  
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