| ON THE TRANSIENT DEPARTURE PROCESS OF M^x/G/1 QUEUEING SYSTEM WITH SINGLE SERVER VACATION |
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| 引用本文： | Yinghui TANG. ON THE TRANSIENT DEPARTURE PROCESS OF M^x/G/1 QUEUEING SYSTEM WITH SINGLE SERVER VACATION[J]. 系统科学与复杂性, 2007, 20(4): 562-571. DOI: 10.1007/s11424-007-9054-x |
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| 作者姓名： | Yinghui TANG |
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| 作者单位： | School of Mathematics ＆ software Science, Sichuan Normal University, Chengdu 610066, China |
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| 基金项目： | This research is supported by Natural Science Foundation of the Education Department of Sichuan Province （[2006]A067） and the Talent Introduction Foundation of Sichuan Normal University. Acknowledgments The author thanks referees for their many helpful comments and suggestions for the improvement of this paper. |
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| 摘 要： |
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| 关 键 词： | 渐近展开 期望数值 簇聚集 数学模型 |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2007-06-15 |
On The Transient Departure Process of Mx/G/1 Queueing System with Single Server Vacation |
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| Yinghui Tang. On The Transient Departure Process of Mx/G/1 Queueing System with Single Server Vacation[J]. Journal of Systems Science and Complexity, 2007, 20(4): 562-571. DOI: 10.1007/s11424-007-9054-x |
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| Authors: | Yinghui Tang |
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| Affiliation: | (1) School of Mathematics & software Science, Sichuan Normal University, Chengdu, 610066, China |
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| Abstract: | This paper studies the transient departure process of M^x/G/1 queueing system with single server vacation. We present a simple probability decomposition method to derive the expected number of departures occurring in finite time interval from any initial state and the asymptotic expansion of the expected number. Especially, we derive some more practical results for some special cases. |
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| Keywords: | Asymptotic expansion expected number group arrival server vacation. |
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