可忽略疲劳影响的多状态马尔可夫可修系统

J4 ›› 2013, Vol. 48 ›› Issue (3): 93-98.

可忽略疲劳影响的多状态马尔可夫可修系统

梁小林,张妮,牛彩云

长沙理工大学数学与计算科学学院, 湖南长沙 410114

收稿日期:2012-05-04 出版日期:2013-03-20 发布日期:2013-03-14
作者简介:梁小林(1965- ),男,博士,副教授,研究方向为可靠性理论与应用. Email:liang@csust.edu.cn
基金资助:
国家自然科学基金资助项目(11171044)

Multistate Markov repairable system with fatigue time omission

LIANG Xiao-lin, ZHANG Ni, NIU Cai-yun

School of Mathematics and Computing Sciences, Changsha University of Science and Technology,
Changsha 410114, Hunan, China

Received:2012-05-04 Online:2013-03-20 Published:2013-03-14

摘要/Abstract

摘要：

假设系统有工作、疲劳工作和失效三种状态,系统中有一个修理工,通过假设部件正常工作时间、疲劳工作时间和修理时间均服从指数分布,建立原系统模型。在假设忽略疲劳影响的条件下,得到了新系统模型。利用概率分析与Laplace变换技术,讨论了原系统与新系统的可靠度、可用度、平均停工时间等一系列可靠性指标。

关键词: 马尔可夫可修系统;疲劳影响忽略;可靠性指标;多状态

Abstract:

First, the original system models were established by assuming that the systems have three states (perfect work, fatigue work, failure) and a repairman, and perfect working time, fatigue working time and repair time were exponentially distributed. Second, the new system models were obtained under the conditions of the assumption that ignoring the effects of fatigue time. Final, the reliability indices of the original and the new systems including reliability, availability, mean down time and so on were discussed by using probability analysis and Laplace transform technique.

Key words: Markov repairable system; fatigue time omission; reliability indices; Multistate

梁小林,张妮,牛彩云. 可忽略疲劳影响的多状态马尔可夫可修系统[J]. J4, 2013, 48(3): 93-98.

LIANG Xiao-lin, ZHANG Ni, NIU Cai-yun. Multistate Markov repairable system with fatigue time omission[J]. J4, 2013, 48(3): 93-98.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed