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| 多重休假的Bernoulli反馈M/G/1排队系统的稳态队长 | |
| 引用本文： | 李成钢,田乃硕,赵冰,刘元慧. 多重休假的Bernoulli反馈M/G/1排队系统的稳态队长[J]. 系统科学与数学, 2009, 29(2): 162-167 |
| 作者姓名： | 李成钢 田乃硕 赵冰 刘元慧 |
| 作者单位： | 1. 燕山大学理学院,秦皇岛,066004;北京三星通讯研究院,北京,100125 2. 燕山大学理学院,秦皇岛,066004 |
| 摘 要： | 系统地研究了多重休假的Bernoulli反馈排队模型,采用嵌入Markov链的方法,给出系统的一步转移概率矩阵进而求得稳态队长分布,并对排队顾客数进行随机分解,得到附加队长的母函数. |
| 关 键 词： | 多重休假 Bernoulli反馈 嵌入Markov链 转移概率矩阵 |
| 收稿时间： | 2007-05-11 |
| 修稿时间： | 2008-08-29 |
The Steady State Queue Length of the M/G/1 Queue withBernoulli Feedback and Multiple Vacations |
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| LI Cheng-gang,TIAN Nai-shuo,ZHAO Bing,LIU Yuan-hui. The Steady State Queue Length of the M/G/1 Queue withBernoulli Feedback and Multiple Vacations[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(2): 162-167 | |
| Authors: | LI Cheng-gang TIAN Nai-shuo ZHAO Bing LIU Yuan-hui |
| Affiliation: | (1)College of Science, Yanshan University, Qinhuangdao 066004; (2) Beijing Samsung Telecom R & D Center, Beijing 100125 |
| Abstract: | In this paper, the $M/G/1$ queue with Bernoulli feedback andmultiple vacations is studied. By means of imbedded Markov chain,transition probability matrix of the system and thedistribution of the steady-state queues length are deduced. By thestochastic decomposition of the steady-state queue length, thegenerating function of the number of customers waiting service is derived. |
| Keywords: | Multiple vacations Bernoulli feedback imbedded Markov chain transition probability matrix. |
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