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| 成批到达排队系统的随机比较 | |
| 引用本文： | 禹海波,何启明,张汉勤. 成批到达排队系统的随机比较[J]. 应用数学学报, 2006, 29(3): 398-404 |
| 作者姓名： | 禹海波 何启明 张汉勤 |
| 作者单位： | 1. 北京工业大学经济与管理学院,北京,100022 2. Dalhousie University,Halifax,Nova Scotia,Canada B3J 2X4 3. 中科院数学与系统科学研究院,北京,100080 |
| 摘 要： | 本文研究成批到达排队系统中队长过程的随机比较问题．利用随机比较方法我们对成批到达指数服务的多服务台排队系统进行分析,得到了该排队系统中队长过程的随机比较以及队长函数关于时间的凹性和凸性．同时我们也给出了成批到达一般服务的单服务台排队系统队长过程、稳态队长的随机比较以及队长函数关于时间的凹性和凸性． |
| 关 键 词： | 排队系统 批量到达 马尔可夫链 随机比较 凸性 |
| 收稿时间： | 2004-03-22 |
| 修稿时间： | 2004-03-22 |
Stochastic Comparison on Queueing System with Batch Arrival |
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| YU HAIBO,HE QIMING,ZHANG HANQIN. Stochastic Comparison on Queueing System with Batch Arrival[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(3): 398-404 | |
| Authors: | YU HAIBO HE QIMING ZHANG HANQIN |
| Affiliation: | 1College of Economics and Management, Beijing University of Technology, Beijing 100022;2 Dalhousie University, Halifax, Nova Scotia, Canada B3J 2X4;3Academy of Mathematics and Systems Science, Chinese Academy of Sciences 100080 |
| Abstract: | In this paper, we study stochastic comparison problem on the queue length processes of the queueing system with batch arrival. We analyse the queueing system with batch arrival, multi-server and exponential service, the stochastic comparison of queue length process and convexity of queue length function in time are obtained by using the stochastic comparison method. At the same time, we get the stochastic comparison of queue length process and steady-state queue length for the queueing systen with a general service and single server, we also provide the convexity and concavity of queue length function in time. |
| Keywords: | queueing system batch arrival Markov chain stochastic comparison convexity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |