| 服务台可修的离散时间GI/G/1重试排队系统 |
| |
| 引用本文： | 王楠,王金亭,唐晓瑾.服务台可修的离散时间GI/G/1重试排队系统[J].武汉理工大学学报(交通科学与工程版),2008,32(4). |
| |
| 作者姓名： | 王楠 王金亭 唐晓瑾 |
| |
| 作者单位： | 1. 北京交通大学理学院,北京,100044
2. 北京大学数学科学学院科学与工程计算系,北京,100871 |
| |
| 基金项目： | 国家自然科学基金，北京交通大学校科研和教改项目 |
| |
| 摘 要： | 讨论了服务器可修的离散时间GI/G/1重试排队系统,其中重试时间服从Bernoulli分布,服务器的寿命为几何分布而修理时间为一般分布.将该系统转化为一个水平相依的拟生灭过程(QBD)并通过矩阵分析方法(MAM)进行分析.通过算法进行逼近,将一个水平相依的Markov链转化为一个有较大边界的与水平不相依的Markov链.最终得到了重试空间中顾客人数的分布,并且通过一些数值算例进一步说明了不同参数对系统的影响.
|
| 关 键 词： | 重试排队 可修排队 矩阵分析方法 拟生灭过程 |
Discrete Time GI/G/1 Retrial Queues with Server Breakdowns and Repairs |
| |
| Wang Nan,Wang Jinting,Tang Xiaojin.Discrete Time GI/G/1 Retrial Queues with Server Breakdowns and Repairs[J].journal of wuhan university of technology(transportation science&engineering),2008,32(4). |
| |
| Authors: | Wang Nan Wang Jinting Tang Xiaojin |
| |
| Institution: | School of Science;Beijing Jiaotong University;Beijing 100044;Department of Scientific and Engineering Computing;Peking University;Beijing 100871 |
| |
| Abstract: | A discrete time GI/G/1 retrial queue is studied,where the retrial time has a geometrical distribution and the server is subject to breakdowns and repairs.It is assumed that the server has a geometrical lifetime and the repair time has a general distribution.The discrete GI/G/1 retrial system can be analyzed as a level dependent QBD process and the resulting QBD can be analyzed by the Matrix analytic method(MAM) conveniently.The algorithmic approach to this model is exploited and the level dependent Markov c... |
| |
| Keywords: | retrial queues repairable queues matrix analytic method QBD process |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
