关键词: 经济生产批量, 生产过程劣化, 设备随机故障, 检查, 缺货

Abstract: For the unreliable production system with deteriorating process and random machine failures,the joint optimization problem of production schedule and process inspection policy was presented.The production process was described,and the stockout model with the no stockout model contained deteriorating production process and random machine failure were established based on renewal reward theory.Economic Manufacturing Quantity (EMQ) and the optimal inspection strategies were proposed to realize the objective of expected total cost minimum in unit time.A numerical example was presented,and the result showed that EMQ and the corresponding inspection number were increased along with the increases of failure rate,and more optimal inspection numbers were needed along with the great needed EMQ under the stockout.

Key words: economic manufacturing quantity, deteriorating process, machine failure, inspection, stockout