IPP+M/M／C排队的遍历性

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 350-354.

IPP+M/M／C排队的遍历性

1. School of Science,Beijing University of Posts and Telecommunications2. School of Mathematics,Central South University

收稿日期:2008-07-02 出版日期:2011-09-30 发布日期:2023-04-18
作者简介: LI Xiao-hua(1977-), female, native of Handan, Hebei, a lecturer of Beijing University of Posts and Telecommunications, Ph.D., engages in Markov processes; HOU Zhen-ting(1936- ), male, native of Mixian, Henan, a professor of Central South University, engages in Markov processes.
基金资助:
Supported by the Chinese Universities Scientific Fund(BUPT2009RC0707,BUPT2011RC0703)；

Ergodicity of the IP P + M/M/c Queue

1. School of Science,Beijing University of Posts and Telecommunications2. School of Mathematics,Central South University

Received:2008-07-02 Online:2011-09-30 Published:2023-04-18
About author: LI Xiao-hua(1977-), female, native of Handan, Hebei, a lecturer of Beijing University of Posts and Telecommunications, Ph.D., engages in Markov processes; HOU Zhen-ting(1936- ), male, native of Mixian, Henan, a professor of Central South University, engages in Markov processes.
Supported by:
Supported by the Chinese Universities Scientific Fund(BUPT2009RC0707,BUPT2011RC0703)；

摘要/Abstract

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 in [10]. In this paper, we shall give the suffcient 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

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 in [10]. In this paper, we shall give the suffcient and necessary conditions of l-ergodicity, geometric ergodicity, and prove that they are neither uniformly polynomial ergodicity nor strong ergodicity.

Key words: queueing theory, ergodicity, Markov chain

中图分类号:

O226

李晓花, 侯振挺. IPP+M/M／C排队的遍历性[J]. 数学季刊, 2011, 26(3): 350-354.

LI Xiao-hua, HOU Zhen-ting. Ergodicity of the IP P + M/M/c Queue[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 350-354.

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