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基于隐藏故障和竞争失效的多态系统视情维修策略

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针对具有隐藏故障和竞争失效模式的多态系统维修策略问题,提出了一种综合考虑隐藏故障损失成本、竞争失效模式、不完美检测、不完美维修等因素的多态系统维修建模方法.首先,描述了多态系统及其失效准则,并给出具体的视情维修策略;其次,推导了系统因隐藏故障而导致的损失成本,并对缺陷状态的不完美检测和不完美维修情形进行了数学描述;然后,分析计算了竞争失效模式下系统的两种更新情形及其发生概率,并基于此构建了多态系统的维修模型-期望成本率;最后,通过数值算例验证了所构建维修模型的有效性,分析结果表明,通过优化维修模型能够找到系统的最佳检测策略,从而有效降低维修成本.
Condition-Based Maintenance Strategy for A Multi-State System with Hidden Failures and Competing Failures
A maintenance modeling method is proposed to solve the maintenance strategy problem for multi-state systems by comprehensively considering hidden failures,competing failure modes,imperfect inspection and imperfect maintenance.Firstly,the competing failure modes of a multi-state system is described and the condition-based maintenance strategies are given.Secondly,the loss costs due to hidden failures are deduced.Subsequently,the effects of imperfect inspection and imperfect maintenance for defects are modeled,and then two kinds of system renewal scenarios and the corresponding probabilities are analyzed and calculated.The maintenance model of the expected cost rate is constructed based on those probabilities and cost parameters.Finally,the validity of the proposed model is analyzed through a numerical example.The results show that the optimal inspection strategy can be found by minimizing the expected cost rate.

hidden failurescompeting failurescondition-based maintenanceimperfect maintenancemulti-state systems

张延静、孟晓华、马义中、欧阳林寒

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苏州大学政治与公共管理学院,江苏苏州 215123

南京理工大学经济管理学院,江苏南京 210094

南京航空航天大学经济与管理学院,江苏南京 211106

隐藏故障 竞争失效 视情维修 不完美维修 多态系统

国家自然科学基金国家自然科学基金国家自然科学基金教育部人文社会科学研究项目江苏省自然科学基金江苏省社会科学基金江苏省卓越博士后计划江苏高校哲学社会科学研究项目苏州大学人文社会科学研究项目

72174136721711177193100622YJC630209BK2023046822GLC0102022ZB6022022SJYB145522XM0024

2024

数理统计与管理
中国现场统计研究会

数理统计与管理

CSTPCDCSSCICHSSCD北大核心
影响因子:1.114
ISSN:1002-1566
年,卷(期):2024.43(1)
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