应用数学学报
首页  |  期刊介绍  |  编 委 会  |  投稿指南  |  期刊订阅  |  广告服务  |  相关链接  |  下载中心  |  联系我们  |  留言板
 
应用数学学报 英文版  
   
   
高级检索 »  
应用数学学报  1981, Vol. 4 Issue (4): 295-306    DOI:
论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索  |   
一般可修系统可靠性分析——马氏更新模型
程侃, 曹晋华
中国科学院应用数学研究所
RELIABILITY ANALYSIS OF A GENERAL REPAIRABLE SYSTEM: MARKOV RENEWAL MODEL
Cheng Kan, Cao Jin-hua
Institute of Applied Mathematics, Academia Sinica
 全文: PDF (2873 KB)   HTML ( KB)   输出: BibTeX | EndNote (RIS)      背景资料
摘要 假定我们对一个可修系统进行可靠性分析,该系统由一些部件组成,在任一时刻t每个部件处于一种确定的状态(如工作、贮备、修理或待修等).设系统的状态空间J={0,1,…,k},k有限.不妨设0为初始状态,即t=0时系统进入状态0.
服务
把本文推荐给朋友
加入我的书架
加入引用管理器
E-mail Alert
RSS
作者相关文章
程侃
曹晋华
关键词:   
Abstract: In this paper we propose a general apps ach for the reliability analysis of a repairable system which can be described by a Markov renewal process with finite state.Making use of this general model we obtain the following quantities:1.the joint distribution of the first up and down time of the system;2.the pointwise availability;3.the probability that one or several repairmen are busy at time t;4.the distribution and expectation of system failure numbers in the interval(0,l].All the quantities are given by their Laplace or Laplace-Stieltjes transforms.The eteady-state solutions for 2-4 are also obtained.Using the approach,we investigate the k-out-of-n(F) system,where the fifes of all components have the same exponential distribution,there is one repairman,and the repair time has a general distribution.
Key words:   
收稿日期: 1978-11-05;
引用本文:   
程侃,曹晋华. 一般可修系统可靠性分析——马氏更新模型[J]. 应用数学学报, 1981, 4(4): 295-306.
Cheng Kan,Cao Jin-hua. RELIABILITY ANALYSIS OF A GENERAL REPAIRABLE SYSTEM: MARKOV RENEWAL MODEL[J]. Acta Mathematicae Applicatae Sinica, 1981, 4(4): 295-306.
 
[1] 程序控制肋骨冷弯机说明书(数学模型部分)1973,6
[2] D.V.Widder,The Laplace Transforms,Princeton University Press,1941.
没有找到本文相关文献
  版权所有 © 2009 应用数学学报编辑部   E-mail: amas@amt.ac.cn
京ICP备05002806号-9