使用期内保修产品的最优更换策略  

Optimal Replacement Policy for Warranty Products Under a Finite Planning Horizon

作　　者：耿强[1] 吕文元[1] 

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《数学理论与应用》2016年第2期67-73,共7页Mathematical Theory and Applications

摘　　要：本文从消费者的角度出发,提出了在产品的有限使用期内,可免费维修保修的产品的更换策略.假设产品在使用期内可以更换一次,更换前后产品的故障率不发生变化.在保修期内,发生故障的产品的维修费用由生产商承担,消费者不用为此支付任何费用.在保修期外产品发生故障,消费者需要为此支付一笔固定的维修费用.然而,只要产品在使用,每发生一次故障都会对消费者产生一笔固定的停机费用.在这种维修计划下,产品的更换将分两种情况讨论:免费保修前和免费保修后.本文将建立两类最优更换模型,给出消费者期望支付费用的数学模型,继而求得最优的更换时间以及此时最小的支付费用.最后会给出模型的算例分析,给出在不同的保修期和有限使用期下,最优更换策略的相关特征.This paper investigates the optimal single replacement policy for products with free- repair warranty under a finite planning horizon from the consumer＇s perspective. Within the planning horizon, the product is replaced once by a new product.But failure rate remains unchanged.During free--repair warranty, when the product fails, the failed product is rectified using minimal repair without any cost to the consumer. After free--repair warranty, any failure of the product incurs a fixed repair cost to the consumer. However, each failure incurs a fixed downtime cost to the consumer over the planning horizon. Under this maintenance scheme, the replacement of the product is investigated for two separate cases.- before free--repair warranty and after free--repair warranty. Then, two cost models from the consumer＇s perspective are derived and the optimal replacement policy is obtained such that the expected total disbursement cost is minimized. Finally, numerical examples are given to illustrate the features of the optimal replacement policy under various warran- ties and planning horizons.

关 键 词：有限使用期 免费维修保修 小修 一次更换 

分 类 号：O224[理学—运筹学与控制论]