Optimal production lot size with process deterioration under an extended inspection policy

作     者：Hu Fei Xu Genqi Ma Lixia 

作者机构：Dept. of Mathematics Tianjin Univ. Tianjin 300072 P. R. 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：2009年第20卷第4期

页      面：768-776页

核心收录：

学科分类：11[军事学] 080904[工学-电磁场与微波技术] 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）] 08[工学] 110503[军事学-军事通信学] 0810[工学-信息与通信工程] 1105[军事学-军队指挥学] 1104[军事学-战术学] 082601[工学-武器系统与运用工程] 081105[工学-导航、制导与控制] 0826[工学-兵器科学与技术] 0802[工学-机械工程] 081001[工学-通信与信息系统] 081002[工学-信号与信息处理] 0811[工学-控制科学与工程] 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(60874034) 

主　　题：production lot size product inspection policy deteriorating production system economic manufacturing quantity. 

摘      要：A mathematical model to determine the optimal production lot size for a deteriorating production system under an extended product inspection policy is developed. The last-K product inspection policy is considered so that the nonconforming items can be reduced, under which the last K products in a production lot are inspected and the nonconforming items from those inspected are reworked. Consider that the products produced towards the end of a production lot are more likely to be nonconforming, is proposed an extended product inspection policy for a deteriorating production system. That is, in a production lot, product inspections are performed among the middle K1 items and after inspections, all of the last K2 products are directly reworked without inspections. Our objective here is the joint optimization of the production lot size and the corresponding extended inspection policy such that the expected total cost per unit time is minimized. Since there is no closed form expression for our optimal policy, the existence for the optimal production inspection policy and an upper bound for the optimal lot size are obtained. Furthermore, an efficient solution procedure is provided to search for the optimal policy. Finally, numerical examples are given to illustrate the proposed model and indicate that the expected total cost per unit time of our product inspection model is less than that of the last-K inspection policy.