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一可修系统的最优检测更新模型
引用本文:沈玉波,冯敬海.一可修系统的最优检测更新模型[J].数学的实践与认识,1999,29(3):87-91.
作者姓名:沈玉波  冯敬海
作者单位:大连理工大学应用数学系,大连,116024
摘    要:本文研究了由一个部件和一个修理工组成的检测更新模型。部件不能“修复如新”。其寿命和修理时间均服从一般分布。在假设最大的修理次数为K—1的条件下,证明了最优检测时间T的存在,此时模型取得最大经济效益。

关 键 词:可用度  稳态可用度  卷积  关键更新定理  更新报酬定理
修稿时间:1998-6-4

An Optimal Testing Replacement Model for Repairable System
Shen Yubo,Feng Jinghai.An Optimal Testing Replacement Model for Repairable System[J].Mathematics in Practice and Theory,1999,29(3):87-91.
Authors:Shen Yubo  Feng Jinghai
Institution:Shen Yubo; (Dalian university of technology, Dalian
Abstract:This paper considers a inspection renewal model consisting of one component and a single repairmen. The lifetime of the repaired component has a general distribution which can be different from that of new component. We consider the inspection policy based on age of system. After it has repaired (k-1) times, the system will been replaced by a new one. The optimal inspection times T" can been proved to exist such that long-run expected benefit per unit time is maximized.
Keywords:availability  steady-state availabiliity  convolution  key renewal theorem  renewal reward the-
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