两个修理工的M/M/2可修排队系统

数学物理学报 ›› 2008, Vol. 28 ›› Issue (6): 1109-1118.

两个修理工的M/M/2可修排队系统

吕胜利¹|李静铂²|岳德权¹

(1.燕山大学理学院秦皇岛 066004|2.河北科技师范学院数学系秦皇岛 066004)

收稿日期:2006-11-30 修回日期:2008-08-01 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 吕胜利
基金资助:
国家自然科学基金(70671088)、河北省自然科学基金 (A2004000185)和燕山大学博士基金(B258) 资助

The M/M/2 Repairable Queue System with Two Repairmen

Lv Shengli¹|Li Jingbo²|Yue Dequan¹

(1.College of Science Yanshan University, Qinhuangdao 66004|2.$Department of Mathematic Hebei Normal University of Science and Technology, Qinhuangdao 066004)

Received:2006-11-30 Revised:2008-08-01 Online:2008-12-25 Published:2008-12-25
Contact: Lv Shengli

摘要/Abstract

摘要：

该文研究两个修理工的M/M/2可修排队系统, 系统有两个相同的服务台, 服务台忙时与闲时故障率不同. 文中给出系统的稳态状态概率, 系统的稳态可用度及系统的稳态平均队长, 并给出系统稳态概率存在的条件.

关键词: 可修排队, 稳态分布存在条件, 稳态可用度, 队长

Abstract:

In this paper, we consider the M/M/2 queueing system with service
interruptions. The rates of server breakdown are different between busy time and idle time, and there are two repairmen in the system. We obtain the steady-state probabilities of the states, the steady-state availability and
the steady-state queueing length, give the condition for the existence of the steady-state probabilities.

Key words: Repairable queueing system, Steady-state condition, Reliability, Queueing length

中图分类号:

吕胜利|李静铂|岳德权. 两个修理工的M/M/2可修排队系统[J]. 数学物理学报, 2008, 28(6): 1109-1118.

Lv Shengli|Li Jingbo|Yue Dequan. The M/M/2 Repairable Queue System with Two Repairmen[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1109-1118.

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