Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (12): 2509-2513.doi: 10.3969/j.issn.1001-506X.2012.12.18

• 系统工程 • 上一篇    下一篇

不完全维修下的单部件系统视情维修及更换策略

葛恩顺1,李庆民1,黄傲林1,2,王慎1   

  1. 1. 海军工程大学兵器工程系, 湖北 武汉 430033;
    2. 海军工程大学电子工程学院, 湖北 武汉 430033
  • 出版日期:2012-12-25 发布日期:2010-01-03

Condition-based maintenance and replacement policy for single-unit system under imperfect maintenance

GE En-shun1,LI Qing-min1,HUANG Ao-lin1,2,WANG Shen1   

  1. 1. Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China;
    2. College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China
  • Online:2012-12-25 Published:2010-01-03

摘要:

实际装备维修工程中,系统并不总能够通过维修恢复如新,并且修后工作时间和维修时间会随着系统年龄增加而分别呈现缩短和延长趋势。针对这个问题,利用连续时间马尔科夫链理论建立单部件系统在不完全维修条件下的视情维修及更换策略模型。根据马氏过程平稳状态下统计平衡原理得到状态概率方程组,并给出相应的递归求解算法。分别以系统稳态可用度最大、长期运行费用率最低以及规定可用度约束下平均故障前时间最长为目标,确定系统最优检测频率、视情维修阈值和更换策略。最后通过算例说明系统在最优维修及更换策略下达到的性能指标与系统劣化属性和维修能力水平的关系,验证了该模型的可行性。

Abstract:

Focusing on the practical problem that a maintained system can not always be as good as new through maintenance and the lifetime will be decreasing while maintenance time required may be increasing due to aging, a new conditionbased maintenance (CBM) and replacement model under imperfect maintenance for singleunit system is developed based on continue time Markov chain (CTMC). The state probability equations are given based on the statistical characteristic of embedded CTMC, and a recursive algorithm is presented to get solution of them. The joint optimization of inspection, the threshold value and replace policy are investigated for maximization of system steady availability, minimization of long-run cost and maximization of mean time to failure under certain system availability constraints respectively. The relationship between system deterioration, maintenance ability and performance with optimal CBM policy is analyzed through a numerical example and the feasibility of the model is proved.

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