具有备用服务员的可修排队系统分析

具有备用服务员的可修排队系统分析

岳德权,马金旺,马明建,余君

燕山大学理学院，河北秦皇岛 066004

收稿日期:2008-11-08 修回日期:1900-01-01 出版日期:2009-04-24 发布日期:2009-11-26
通讯作者: 岳德权

YUE Dequan, MA Jinwang, MA Mingjian, YU Jun

College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received:2008-11-08 Revised:1900-01-01 Online:2009-04-24 Published:2009-11-26
Contact: YUE Dequan

摘要/Abstract

摘要：

研究了具有备用服务员的可修排队系统,其中一个服务员上岗,另一个服务员备用。上岗服务员发生故障时,若修理工空闲,则故障服务员可以立即得到修理

,同时备用服务员立即替换上岗;否则,需等待修理。利用矩阵几何解的方法讨论了系统的稳态平衡条件和稳态概率分布,并给出了系统的一些稳态性能指标和数值结果。

关键词: 矩阵几何解, 拟生灭过程, 可修排队系统, 故障

Abstract:

A repairable queuing system with spare servers was considered, in which one server goes on duty, and the other is kept on standby. When the server breaks

down, if the repairman is idle, it can be repaired and replaced by the spare server immediately. Otherwise, it needs to wait for repairs. Using the matrixgeometric solution

method, the existing condition of steadystate equilibrium and steadystate probability vectors were discussed. Some performance measures of the system and numerical results

were given.

Key words: repairable queuing system, breakdown, matrixgeometric solution, quasibirthanddeath process

中图分类号:

O226

岳德权,马金旺,马明建,余君 . 具有备用服务员的可修排队系统分析[J]. J4, 2009, 44(3): 39-44 .

YUE Dequan, MA Jinwang, MA Mingjian, YU Jun. [J]. J4, 2009, 44(3): 39-44 .

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