| 研究M/G/1排队的一个新的向量马氏过程 |
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| 引用本文： | 严庆强,史定华,郭兴国.研究M/G/1排队的一个新的向量马氏过程[J].上海大学学报(英文版),2005,9(2):120-123. |
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| 作者姓名： | 严庆强 史定华 郭兴国 |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.70171059) |
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| 摘 要： | In this paper, by considering the stochastic process of the busy period and the idle period, and introducing the unfinished work as a supplementary variable, a new vector Markov process was presented to study the M/G/1 queue again. Through establishing and solving the density evolution equations, the busy-period distribution, and the stationary distributionof waiting time and queue length were obtained. In addition, the stability condition of this queue system was given by means of an imbedded renewal process.
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| 关 键 词： | M／G／1队列 VMP 队列长度 马尔可夫过程 变量 |
| 收稿时间： | 30 September 2003 |
A new vector markov process for M/G/1 queue |
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| Yan?Qing-qiang,Shi?Ding-hua,Guo?Xing-guo.A new vector markov process for M/G/1 queue[J].Journal of Shanghai University(English Edition),2005,9(2):120-123. |
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| Authors: | Yan Qing-qiang Shi Ding-hua Guo Xing-guo |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200436, P.R. China |
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| Abstract: | In this paper, by considering the stochastic proces s of the busy period and the idle period, and introducing the unfinished work as a supplementary variable, a new vector Markov process was presented to study th e M/G/1 queue again. Through establishing and solving the density evolution equa tions, the busy-period distribution, and the stationary distributions of waitin g time and queue length were obtained. In addition, the stability condition of th is queue system was given by means of an imbedded renewal process. |
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| Keywords: | M/G/1 queue unfinished work vector Markov process(VMP) density evolution equa tions |
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