基于期望效益的随机检修系统决策模型研究

中国管理科学 ›› 2007, Vol. 15 ›› Issue (6): 33-38.

基于期望效益的随机检修系统决策模型研究

贾积身^1,2, 刘思峰¹, 党耀国¹

1. 南京航空航天大学经济与管理学院, 江苏南京210016;
2. 河南机电高等专科学校科研处, 河南新乡453002

收稿日期:2006-06-08 修回日期:2007-09-16 出版日期:2007-12-31 发布日期:2007-12-31
作者简介:贾积身(1964- ),男(汉族),河南获嘉人,河南机电高等专科学校科研处长、教授,南京航空航天大学博士生,研究方向:系统工程与可靠性.
基金资助:
国家自然科学基金资助项目(70473037);河南省自然科学基金项目(0611054400);河南省教育厅基础研究项目(2006120002)

Research on Decision-Making Model Based on Expected Benefit for Random Overhauling System

JIA Ji-shen^1,2, LIU Si-feng¹, DANG Yao-guo¹

1. College of Economics﹠Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Department of Scientific Research, Henan Mechanical and Electrical Engineering College, Xinxiang 453002, China

Received:2006-06-08 Revised:2007-09-16 Online:2007-12-31 Published:2007-12-31

摘要/Abstract

摘要： 本文研究了一类带检修退化可修系统的维修策略问题,为提高系统的安全性和可靠性,在系统故障前增加了随机检修,并在此种情况下对维修模型进行了研究。在假定系统检修"修复如旧"、系统逐次故障后的维修时间构成随机递增的几何过程和系统逐次故障后的工作时间构成随机递增的几何过程的情况下,选择系统的故障次数N为更换策略,利用单调的几何过程,求出了系统经长期运行单位时间内的期望效益的表达式.最后通过数值例子对所得结果进行了分析。

关键词: 期望效益, 随机检修, 故障维修, 更新过程, 几何过程

Abstract: The problem on replacement policies for a random checking repairable system is studied in this paper.In order to improve systems safety and reliability,a random overhauling before system failures is considered,and the repairable models are studies in this case.Under the assumption that the random over-hauling is as good as old,the successive survival time of the system constitutes a decreasing geometric process stochastically and the consecutive repair time of the system constitutes an increasing geometric process,and the repair after system failures is not as good as new,we consider replacement policies based on the failure number of the system.By using the monot one geometric process,the explicitex pression of the long-run expected profit per unit time is derived.Finally,we analyze the result through numerical example too.

Key words: expected profit, random overhauling, failure repair, renewal process, geometric process

中图分类号:

TB114.3

贾积身, 刘思峰, 党耀国. 基于期望效益的随机检修系统决策模型研究[J]. 中国管理科学, 2007, 15(6): 33-38.

JIA Ji-shen, LIU Si-feng, DANG Yao-guo. Research on Decision-Making Model Based on Expected Benefit for Random Overhauling System[J]. Chinese Journal of Management Science, 2007, 15(6): 33-38.