服从延迟几何过程退化系统的订货-更换策略优化

上海交通大学学报（自然版） ›› 2015, Vol. 49 ›› Issue (08): 1101-1107.

• 自动化技术、计算机技术 • 上一篇下一篇

服从延迟几何过程退化系统的订货-更换策略优化

成国庆1,2,周炳海1,李玲2

（1.同济大学机械与能源工程学院, 上海 201804；2. 景德镇陶瓷学院信息工程学院, 江西景德镇 333403)

收稿日期:2014-09-01 出版日期:2015-08-31 发布日期:2015-08-31
基金资助:
国家自然科学基金项目(61273035, 71471135)资助

Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process

CHENG Guoqing1,2,ZHOU Binghai1,LI Ling2

(1. School of Mechanical Engineering, Tongji University, Shanghai 201804, China；2. School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China)

Received:2014-09-01 Online:2015-08-31 Published:2015-08-31

摘要/Abstract

摘要：

摘要：建立了以可用度为约束的可修退化系统的订货更换模型，以系统故障次数N为订货更换策略，在第N-1次故障维修后发出订单、第N次故障后进行更换.利用延迟的几何过程刻画系统退化特征，给出了系统经维修后寿命分布的通项表达式.借助更新过程理论求得系统长期运行的平均可用度与费用率.在系统满足预期可用度的前提下，得出最优的策略使得平均费用率最低.最后，通过数值算例演示了本模型的有效性.

关键词: , 退化系统, 延迟几何过程, 订货更换策略, 可用度, 平均费用率

Abstract:

Abstract： An orderreplacement model was developed for a repairable deteriorating system. The policy N was adopted where the system would be replaced after the the Nth failure and the spare system was ordered at the end of the (N-1)th failure. The deterioration process of the system was modeled by the delayed geometric process. The longrun average availability and the average cost rate were derived by using the renewal reward theory. The optimal policy was obtained under the premise of meeting the availability requirement. Finally, a numerical example was given to illustrate the proposed model.

Key words: deteriorating system, delayed geometric process, orderreplacement policy, availability, average cost rate

中图分类号:

TP 391

成国庆1,2,周炳海1,李玲2. 服从延迟几何过程退化系统的订货-更换策略优化[J]. 上海交通大学学报（自然版）, 2015, 49(08): 1101-1107.

CHENG Guoqing1,2,ZHOU Binghai1,LI Ling2. Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process[J]. Journal of Shanghai Jiaotong University, 2015, 49(08): 1101-1107.

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服从延迟几何过程退化系统的订货-更换策略优化

Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process

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