Optimization of continuous and discrete scheduled times for a cumulative damage system with age-dependent maintenance
Optimization of continuous and discrete scheduled times for a cumulative damage system with age-dependent maintenance
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DOI：
10.1080/03610926.2018.1491992
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
Chin-Chih Chang;Yen-Luan Chen
中科院分区：
文献类型：
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作者：
Chin-Chih Chang;Yen-Luan Chen
摘要本文研究了系统在随机时间连续工作并遭受随机冲击时的预防性更换问题。这些工程对系统造成随机数量的附加损害，并且每当累积损害达到故障水平阈值时，系统就故障。当外部冲击发生时，系统会经历两种类型的冲击之一，并具有与年龄相关的维护机制：I型（轻微）冲击通过最小的修复得到纠正，或II型（灾难性）冲击导致系统故障。为了控制劣化过程，预防性更换被安排为在连续的年龄T或在离散的工作周期数N时更换系统，以先发生的为准，并且每当系统由于冲击或损坏而失效时立即执行校正性更换。对使期望费用率最小的最优预防性更换计划进行了解析讨论和数值计算。该模型提供了一个通用的框架，分析维护策略，并扩展了现有的几个结果。
Abstract This paper presents a preventive replacement problem when a system is operating successive works with random times and suffering stochastic shocks. The works cause random amount additive damage to the system, and the system fails whenever the cumulative damage reaches a failure level threshold. As an external shock occurs, the system experiences one of the two types of shocks with age-dependent maintenance mechanism: type-I (minor) shock is rectified by a minimal repair, or type-II (catastrophic) shock causes the system to fail. To control the deterioration process, preventive replacement is scheduled to replace the system at a continuous age T or at a discrete number N of working cycles, whichever occurs first, and corrective replacement is performed immediately whenever the system fails due to either shock or damage. The optimal preventive replacement schedule that minimizes the expected cost rate is discussed analytically and computed numerically. The proposed model provides a general framework for analyzing maintenance policies and extends several existing results.