基于停机时间的可修串联系统的维修更换策略  

Maintenance and replacement policy for a series repairable system based on downtime

作　　者：孟宪云[1] 付钦慧[1] 李芳[1] 张建龙[1] 刘海涛[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2011年第6期926-929,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：全国统计科研计划基金资助项目(2010LC33);河北省教育厅基金资助项目(2007323);河北省自然科学基金资助项目(A200500301)

摘　　要：为了求得k个不同型部件串联可修系统的平均停机时间,提出了一种维修更换模型。假设系统中每个部件维修后均不能"修复如新",部件每次失效时延迟修理的概率为1-pi(i=1,2,…,k),利用几何过程、α-幂过程和更新过程理论,在更换策略M=(N1,N2,…,Nk)下得出系统经长期运行单位时间内期望费用和平均停机时间的表达式,并以费用率为约束条件,以停机时间为目标函数建立优化模型;给出数值例子,用MATLAB验证了该模型的合理性。仿真试验表明:存在最优更换策略M*,满足费用率约束条件下使得平均停机时间最短。In order to obtain the expected downtime of a-dissimilar-identical component series repairable system,a new maintenance and replacement model is proposed in this study.Assuming that each component after repair is not ＂as good as new＂,and a repair can be delayed with a probability of 1-pi（i=1,2,…,k）,the expressions of the long run average cost and the expected downtime per unit time under policy M=（N1,N2,…,Nk） can be obtained by using geometric process,power process and renewal process.Also,the replacement policy model with minimizing the expected downtime rate subject to an appropriate cost rate can be got.A case study on a numerical example is conducted to prove the rationality of the new model using MATLAB.The simulation experiment indicates that there is an optimal policy which enables a shortest average downtime to satisfy the constraints of cost rate.

关 键 词：延迟修理 串联系统 几何过程 幂过程 更新报酬定理 维修更换模型 平均停机时间 仿真试验 

分 类 号：O244[理学—计算数学]