A Geometric Process Repair Model for the Repairable System Consisting of One Component  

单部件可修系统的一个几何过程维修模型(英文)

作　　者：贾积身[1] 乔保民[2] 张元林[3] 

机构地区：[1]河南机电高等专科学校基础部,河南新乡453002 [2]商丘师范学院数学系,河南商丘476000 [3]东南大学应用数学系,江苏南京210018

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第4期76-82,共7页数学季刊（英文版）

基　　金：SupportedbytheNaturalScienceFoundationofHenanProvince( 0 1110 42 2 0 0 )

摘　　要：This paper considers the optimal replacement problem of a repairable system consisting of one component and a single repairman, assume that the system after repair is not 'as good as new', by using the geometric process, we consider a placement policy T based on the age of the system. The problem is to determine the optimal replacement policy T * such that the long_run expected benefit per unit time is maximized. Also, the explicit expression of the long_run expected benefit per unit time can be found. In some conditions, the existence and uniqueness of the optimal policy T * can be proved, finally, we prove that the policy T * is better than the policy T * in .

关 键 词：expected benefit geometric process renewal reward theorem CONVOLUTION 

分 类 号：O224[理学—运筹学与控制论]