修理工休假的温贮备可修系统的瞬时可用度分析

中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (5): 28-33.

修理工休假的温贮备可修系统的瞬时可用度分析

张静，岳德权，王丽花

（燕山大学理学院，河北秦皇岛 066004）

收稿日期:2011-04-25 修回日期:1900-01-01 出版日期:2011-09-25 发布日期:2011-09-25

Instantaneous Availability Analysis of a repairable System with Warm Standbys and Repairmen under Vacations

ZHANG Jing,YUE Dequan,WANG Lihua

(College of Sciences, Yanshan University, Qinhuangdao 066004, China)

Received:2011-04-25 Revised:1900-01-01 Online:2011-09-25 Published:2011-09-25

摘要/Abstract

摘要： 研究了R个修理工进行同步多重休假的带有多个温贮备部件的可修系统，同时考虑了故障部件可能止步的现象。文中利用Markov过程理论建立了系统状态概率的微分差分方程组，利用矩阵理论和Laplace变换反演的方法求解出了系统故障状态概率的精确表达式，从而得到了系统的瞬时可用度和稳态可用度的精确表达式。

关键词: 止步, 温贮备, 同步多重休假, 瞬时可用度

Abstract: A repairable system with warm standbys and R repairmen with multiple synchronous vacations is studied. At the same time, balking of fault units is also considered. The differentialdifference equations of state probabilities are obtained by Markov process theory, and the exact expression of failure state probability is derived by using matrix theory and inverse of Laplacetransform. Then instantaneous availability and steadystate availability of the system is presented.

Key words: balking, warm standbys, multiple synchronous vacations, instantaneous availability

中图分类号:

O226

张静;岳德权;王丽花. 修理工休假的温贮备可修系统的瞬时可用度分析[J]. 中山大学学报自然科学版, 2011, 50(5): 28-33.

ZHANG Jing;YUE Dequan;WANG Lihua. Instantaneous Availability Analysis of a repairable System with Warm Standbys and Repairmen under Vacations[J]. , 2011, 50(5): 28-33.