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基于基准可靠度和预防维修次数上限的两参数预防维修策略
引用本文:沈洁琼,何平,李海艳.基于基准可靠度和预防维修次数上限的两参数预防维修策略[J].数学杂志,2015,35(4):945-951.
作者姓名:沈洁琼  何平  李海艳
作者单位:四川大学锦城学院数学教研室, 四川 成都 611731,西南交通大学数学学院, 四川 成都 610031,四川大学锦城学院数学教研室, 四川 成都 611731
基金项目:中国铁路总公司科技研究开发计划重点课题(2013J006-B);成都铁路局科技研究开发计划重点课题(CX1304).
摘    要:本文研究了一类修旧非新的两参数预防维修策略.在预防维修依赖于基准可靠度R的条件下,利用系统的相关可靠性指标建立了平均费用关于R和N(预防维修次数上限)的函数关系.进一步找到了该函数的最小值点,即得到了最优策略(R,N)*.同时通过实例说明了本文的维修策略优于文献8].

关 键 词:两参数预防维修策略  几何过程  基准可靠度  平均费用
收稿时间:2013/9/17 0:00:00
修稿时间:2014/6/4 0:00:00

BIVARIATE PREVENTIVE REPAIR POLICY ON THE CRITICAL RELIABILITY AND NUMBER OF PREVENTIVE REPAIRS
SHEN Jie-qiong,HE Ping and LI Hai-yan.BIVARIATE PREVENTIVE REPAIR POLICY ON THE CRITICAL RELIABILITY AND NUMBER OF PREVENTIVE REPAIRS[J].Journal of Mathematics,2015,35(4):945-951.
Authors:SHEN Jie-qiong  HE Ping and LI Hai-yan
Institution:Dpt. of Math., Jincheng College, Sichuan University, Chengdu 611731, China,College of Mathematics, Southwest Jiaotong University, Chengdu 610031, China and Dpt. of Math., Jincheng College, Sichuan University, Chengdu 611731, China
Abstract:In this paper,a bivariate preventive repair policy is studied,which assumes that preventive repair does not return the system to a "good as new" condition,with the critical reliability R and number of preventive repairs N.Our aim is to determine an optimal mixed policy (R,N)* such that the long-run average cost per unit time is minimized.Finally,an appropriate numerical example is given,which shows that our new policy possesses better performance than the policy given in 8].
Keywords:bivariate preventive repair policy  geometric process  critical reliability  average cost rate
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