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| 带有负顾客和灾难的Geo/Geo/1离散时间排队系统 | |
| 引用本文： | 曲子芳,朱翼隽,杜贞斌.带有负顾客和灾难的Geo/Geo/1离散时间排队系统[J].潍坊学院学报,2006,6(4):90-95. |
| 作者姓名： | 曲子芳 朱翼隽 杜贞斌 |
| 作者单位： | 1. 山东工商学院,山东,烟台,264005 2. 江苏大学理学院,江苏,镇江,212013 3. 南京航空航天大学,江苏,南京,210016 |
| 摘 要： | 负顾客排队模型的研究工作可学院从不同的角度、不同的方法、不同的机制来进行。本文将负顾客引入离散时间排队系统,讨论了一个有灾难发生的Geo/Geo/1离散时间排队模型。运用状态转移得到了系统队长和等待队长的概率母函数。并通过数值例子给出了参数对几个性能特征的影响。 |
| 关 键 词： | 负顾客 灾难 马氏链 概率母函数 |
| 文章编号： | 1671-4288(2006)04-0090-06 |
| 收稿时间： | 2005-09-22 |
| 修稿时间： | 2005年9月22日 |
The discrete-time Geo/Geo/1 queue with negative customers and disasters |
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| Qu Zi-fang,ZHU Yi-jun,DU Zhen-bin.The discrete-time Geo/Geo/1 queue with negative customers and disasters[J].Journal of Weifang University,2006,6(4):90-95. | |
| Authors: | Qu Zi-fang ZHU Yi-jun DU Zhen-bin |
| Institution: | 1.Shandong Institute of Business and Technology, Yantai Shandong 264005; 2.Faculty of Jiangsu University; 3.Zhenjiang Jiangsu 212013; Nanjing University of Aeronautics and Astronautics, Nanj ing, 210016 |
| Abstract: | Researches of queueing system with negative customers can be carried out from different points of view and by different methods.In this paper,we extend the queueing theory on negative arrivals and disasters to the discrete-time queueing system,and study a discrete-time Geo/Geo/1 queue with disasters.We derive the generating functions of queueing length and waiting queueing length by use of " state transfer analyses",and using numerical results,we shaw the influence of the parameters on several performance characteristics. |
| Keywords: | negative customers disasters Markov chain generating function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |