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基于剩余寿命的劣化系统最优维修策略
引用本文:苏锦霞,赵学靖,李维国. 基于剩余寿命的劣化系统最优维修策略[J]. 兰州大学学报(自然科学版), 2011, 0(4)
作者姓名:苏锦霞  赵学靖  李维国
作者单位:兰州大学数学与统计学院;福州大学离散数学与理论计算机科学研究中心;
基金项目:兰州大学中央高校基本科研业务费专项基金项目(lzujbky-2009-120)
摘    要:考虑Gamma型劣化可替换系统的最优观测/替换策略问题,给出了基于剩余寿命的观测函数,得到期望单位时间维修费用最小化准则下的最优维修策略.相对于传统的非周期观测策略,该方法只需要一个比例风险系数参数来确定检测时间,从而降低了策略优化过程的复杂性.数值模拟表明在系统长期使用的单位时间维修费用上,基于平均剩余寿命的策略可以得到比一些基于状态的维修策略更优的结果.

关 键 词:剩余寿命  维修策略  劣化  Gamma过程  

Optimal residual-based maintenance policy for deteriorating systems
SU Jin-Xia ,ZHAO Xue-Jing ,LI Wei-Guo .School of Mathematics , Statistics,Lanzhou University,Lanzhou ,China .Center for Discrete Mathematics , Theoretical Computer Science,Fuzhou University,Fuzhou ,China. Optimal residual-based maintenance policy for deteriorating systems[J]. Journal of Lanzhou University(Natural Science), 2011, 0(4)
Authors:SU Jin-Xia   ZHAO Xue-Jing   LI Wei-Guo .School of Mathematics    Statistics  Lanzhou University  Lanzhou   China .Center for Discrete Mathematics    Theoretical Computer Science  Fuzhou University  Fuzhou   China
Affiliation:SU Jin-Xia 1,ZHAO Xue-Jing 1,LI Wei-Guo 2 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China 2.Center for Discrete Mathematics and Theoretical Computer Science,Fuzhou University,Fuzhou 350002,China
Abstract:The optimal inspection/replacement policy of a Gamma-type deterioration repairable system was discussed,the residual-base inspection policy scheme was proposed and an optimal maintenance policy was derived to minimize the long-run expected average maintenance cost per unit of time.Comparison to the classical non-period inspection scheme,the proposed policy uses only one risk coeficient parameter in inspection schemes;therefore it reduces the unknown parameters and the complexity of optimization in practice....
Keywords:residual lifetime  maintenance policy  deterioration  Gamma process  
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