保修策略下的系统最优更换模型  

THE OPTIMAL REPLACEMENT MODEL UNDER THE WARRANTY POLICIES

作　　者：贾积身[1] 张元林[2] 

机构地区：[1]河南机电高等专科学校,新乡453002 [2]三江学院应用概率研究所,南京210012

出　　处：《经济数学》2003年第2期72-76,共5页Journal of Quantitative Economics

基　　金：河南省自然科学基金项目 (编号 :0 1110 4 2 2 0 0 )

摘　　要：本文研究了单部件组成系统的保修策略 ,提出了一种新的按比例保修和免费保修策略 .在假定故障部件不能“修复如新”的条件下 ,利用几何过程分别考察了顾客和商家关于产品的长期运行平均费用 ,求出了它们的明显表达式 ,并且可以通过数值法或分析法求出其最优保修期 .This article considers the warranty policies of a repairable system consisting of one component, involving two kinds of the new warranty policies: the free warranty and the pro rata warranty. Assume that the system after repair is not 'as good as new', by using the geometric process, we examine the long run expected costs under these policies for both consumer costs and manufacturer costs. The explicit expression of the costs can be found. Also, the optimal warranty period is derived analytically or numerically.

关 键 词：保修策略 系统最优更换模型 期望费用 几何过程 数值法 随机变量 

分 类 号：O211.5[理学—概率论与数理统计] F224.7[理学—数学]