带有一个冷贮备部件的两部件串联系统机会维修策略

doi:10.12005/orms.2017.0266

运筹与管理 ›› 2017, Vol. 26 ›› Issue (11): 100-104.DOI: 10.12005/orms.2017.0266

带有一个冷贮备部件的两部件串联系统机会维修策略

董秋仙^1,2, 陈琴¹, 刘汝良¹, 张芳¹, 刘卫东²

1.南昌大学数学系,江西南昌 330031;
2.南昌大学质量与可靠性研究室,江西南昌 330031;

收稿日期:2016-03-30 出版日期:2017-11-25
作者简介:董秋仙(1972-),女,江西玉山,副教授,博士,研究方向:复杂系统可靠性分析。
基金资助:
江西省教育厅资助项目(GJJ14114)

Opportunistic Maintenance Policy for Two-unit Series System with a Cold Standby Component

DONG Qiu-xian^1,2, CHEN Qin¹, LIU Ru-liang¹, ZHANG Fang¹, LIU Wei-dong²

1.Mathematics Department of Nanchang University, Nanchang 330031, China;
2.Research Center for Quality & Reliability of Nanchang University, Nanchang 330031, China;

Received:2016-03-30 Online:2017-11-25

摘要/Abstract

摘要： 针对带有一个冷贮备部件的两部件串联系统,本文首先提出一种预防维修与机会维修相结合的维修策略,运用更新报酬定理求得长期运行情况下的单位时间期望维修成本函数的表达式,然后研究最优的机会维修阀值,运用微分学理论求解最优解,最后用实例验证理论的正确性,从实际例子说明本文提出的维修策略可明显节约维修成本,为相应的带有冷贮备的多部件串联系统的维修策略分析提供参考,对企业设备的维修有实际指导意义。

关键词: 冷贮备, 串联系统, 机会维修, 预防性维修

Abstract: According to the two components series system with a cold standby unit, this paper proposes a maintenance strategy mixing preventive repair and opportunistic maintenance. An expression is derived for the long-term expected cost using the renewal reward theorem. The optimal opportunity repair threshold is studied, and the optimal solution is researched using differential calculus theory. Finally, the model is used for actual examples to verify the correctness of the analysis. It shows that the repair strategy proposed in this paper can save repair cost from the actual examples, and it provides reference for researching repair strategies of multi components series system with cold standby. This research gives helpful insight into equipment maintenance decision making in the real world.

Key words: cold standby, series system, opportunistic maintenance, preventive maintenance

中图分类号:

O211.6

董秋仙, 陈琴, 刘汝良, 张芳, 刘卫东. 带有一个冷贮备部件的两部件串联系统机会维修策略[J]. 运筹与管理, 2017, 26(11): 100-104.

DONG Qiu-xian, CHEN Qin, LIU Ru-liang, ZHANG Fang, LIU Wei-dong. Opportunistic Maintenance Policy for Two-unit Series System with a Cold Standby Component[J]. Operations Research and Management Science, 2017, 26(11): 100-104.

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带有一个冷贮备部件的两部件串联系统机会维修策略

Opportunistic Maintenance Policy for Two-unit Series System with a Cold Standby Component

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