Optimal replacement policy of products with repair-cost threshold after the extended warranty

作     者：Lijun Shang Zhiqiang Cai 

作者机构：School of Mechanical Engineering Northwestern Polytechnical University Xi’an 710072 China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2017年第28卷第4期

页      面：725-731页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 0802[工学-机械工程] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(71471147 71631001) the Basic Research Project of Natural Science in Shaanxi Province(2015JQ7273) the 111 Project(B13044) 

主　　题：extended warranty cost threshold minimal repair cost-based replacement age-based replacement 

摘      要：The reliability of the product sold under a warranty is usually maintained by the manufacturer during the warranty period. After the expiry of the warranty, however, the consumer confronts a problem about how to maintain the reliability of the product. This paper proposes, from the consumer s perspective, a replacement policy after the extended warranty, under the assumption that the product is sold under the renewable free replacement warranty (RFRW) policy in which the replacement is dependent on the repair-cost threshold. The proposed replacement policy is the replacement after the extended warranty is performed by the consumer based on the repair-cost threshold or preventive replacement (PR) age, which are decision variables. The expected cost rate model is derived from the consumer s perspective. The existence and uniqueness of the optimal solution that minimizes the expected cost rate per unit time are offered. Finally, a numerical example is presented to exemplify the proposed model.