考虑不同维修效果的多状态可修系统可靠性模型

doi:10.3969/j.issn.1000-1093.2014.09.023

兵工学报 ›› 2014, Vol. 35 ›› Issue (9): 1488-1494.doi: 10.3969/j.issn.1000-1093.2014.09.023

考虑不同维修效果的多状态可修系统可靠性模型

狄鹏，黎放，陈童

（海军工程大学管理工程系，湖北武汉 430033）

收稿日期:2013-11-11 修回日期:2013-11-11 上线日期:2014-11-03
作者简介:狄鹏（1979—），男，副教授，博士研究生
基金资助:
海军工程大学自然科学基金项目（HGDQNEQJJ13015）

Reliability Model of Multi-state Repairable Systems with Different Repair Effects

DI Peng, LI Fang, CHEN Tong

（Department of Management Engineering，Naval University of Engineering, Wuhan 430033, Hubei, China）

Received:2013-11-11 Revised:2013-11-11 Online:2014-11-03

摘要/Abstract

摘要： 为了研究不同维修效果下多状态可修系统的可靠性模型，考虑修后恢复修前状态、维修效果较差和维修效果好3种不同维修效果，假设系统工作状态可以划分为完好和一般两类，系统工作时间和维修时间服从连续Phase-type分布，建立系统状态马尔可夫转换的无穷小生成元矩阵，求得各状态稳态概率向量，给出了系统稳态可用度、稳态故障率的解析表达式。通过算例验证了该模型的有效性和适用性。

关键词: 兵器科学与技术, 多状态, 可靠性, 维修效果, Phasetype分布

Abstract: Three repair effects, namely repairing some system and making it as same as the original, imperfect and perfect, are proposed to research the reliability model of multi-state repairable systems with the different repair effects. The operating state is divided into two classes: good and general; the operation and repair times of system are assumed to submit to continuous phase-type distribution. An infinitesimal generator matrix for the Markov transfer among system states is established, and the stationary probability vector is achieved. The proposed model provides the analytic expressions of the stationary availability and failure rate. Finally, the numerical examples are given to illustrate the effectiveness and applicability of model.

Key words: ordnance science and technology, multi-state, reliability, repair effect, phase-type distribution

中图分类号:

F253.4

狄鹏，黎放，陈童. 考虑不同维修效果的多状态可修系统可靠性模型[J]. 兵工学报, 2014, 35(9): 1488-1494.

DI Peng, LI Fang, CHEN Tong. Reliability Model of Multi-state Repairable Systems with Different Repair Effects[J]. Acta Armamentarii, 2014, 35(9): 1488-1494.

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考虑不同维修效果的多状态可修系统可靠性模型

Reliability Model of Multi-state Repairable Systems with Different Repair Effects

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