| Min(N,V)--策略休假的M/G/1排队系统分析 |
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| 引用本文： | 井彩霞,崔颖,田乃硕.Min(N,V)--策略休假的M/G/1排队系统分析[J].运筹与管理,2006,15(3):53-58. |
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| 作者姓名： | 井彩霞 崔颖 田乃硕 |
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| 作者单位： | 1. 燕山大学,理学院,河北,秦皇岛,066004
2. 蒙妮坦职业高级中学,黑龙江,大庆,163000 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 在一个M／G／1休假排队系统中，同时考虑N-策略和多重休假策略，休假终止准则为任一个条件满足，我们称其为Min（N，V）-策略。本文给出了在此策略下的排队系统的稳态队长、忙期分布等基本指标。首次使用条件等待时间方法得到稳态等待时间的LST（Laplace-Stieltjes transform），同时还列举了一个应用的实例。最后指出本文模型是几个已研究模型的推广。
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| 关 键 词： | 运筹学 休假排队 休假策略 随机分解 |
| 文章编号： | 1007-3221(2006)03-0053-06 |
| 收稿时间： | 05 24 2005 12:00AM |
| 修稿时间： | 2005年5月24日 |
Analysis of the M/G/1 Queueing System with Min(N,V)-policy |
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| JING Cai-xia,CUI Ying,TIAN Nai-shuo.Analysis of the M/G/1 Queueing System with Min(N,V)-policy[J].Operations Research and Management Science,2006,15(3):53-58. |
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| Authors: | JING Cai-xia CUI Ying TIAN Nai-shuo |
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| Affiliation: | 1. College of Science, Yanshan University, Qinhuangdao 066004, China ; 2. Mengnitan Vocational Senior Middle School, Daqing 163000, China |
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| Abstract: | We consider an M/G/1 queueing system with policy and multiple vacation policy simultaneously.The server will end the vacation if either condition of them is satisfied.We call this Min(N,V)-policy.In this paper,we get some performance measures of a M/G/1 queueing system under Min(N,V)-policy,such as steady-state queue length and the probability distribution of busy period.And by first using the method of conditional waiting time,we derive the LST of the steady-state waiting time.Meanwhile,we give an example of the model in application.Finally,we point out that the queueing model in this paper is the extension of the models that have been studied. |
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| Keywords: | operational research vacation queueing vacation policy stochastic decomposition |
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