Reliability and maintenance policies for a two-stage shock model with self-healing mechanism
Reliability and maintenance policies for a two-stage shock model with self-healing mechanism
复制标题
具有自愈机制的两阶段冲击模型的可靠性和维护策略
DOI：
10.1016/j.ress.2017.12.013
复制
发表时间：
2018-04
影响因子：
8.1
通讯作者：
Wang Xiaoyue
中科院分区：
文献类型：
--
作者：
Zhao Xian;Guo Xiaoxin;Wang Xiaoyue
本文提出了一个具有自愈机制的两阶段冲击模型，作为累积冲击和delta-shock模型的推广。引入变点来描述系统的两阶段失效过程，定义变点为有效冲击累积次数达到d的时刻。在变化点之前，当无效冲击的尾随运行中的增量无效冲击的数量达到k时，系统可以治愈由有效冲击引起的损害。等效地，在无效电击的运行中，当增量无效电击的数量福尔斯下降到[i k，（i+ 1）k）中时，可以修复由先前i个有效电击引起的损害。当系统到达突变点时，系统失去自愈能力，当累计有效冲击次数达到预定值n（n> d）时，系统失效。在此基础上，利用有限马尔可夫链嵌入方法得到了冲击长度的概率质量函数、分布函数和平均值。针对不同的监测条件，提出了三种预防性维护策略，并建立了相应的优化模型，确定了最优维护量。最后给出了该模型的数值算例。
In this paper, a two-stage shock model with self-healing mechanism is proposed as an extension of cumulative shock and delta-shock models. A change point is introduced to describe the two-stage failure process of a system and defined as the moment when the cumulative number of valid shocks reaches d. Before the change point, the system can heal the damage caused by a valid shock when the number of delta-invalid shocks reaches k in the trailing run of invalid shocks. Equivalently, the damage caused by previous i valid shocks can be healed when the number of delta-invalid shocks falls in [i k,(i+ 1) k) in the run of invalid shocks. The system loses self-healing ability when it reaches the change point, and then fails when the cumulative number of valid shocks reaches a prefixed value n (n> d). Based on the established model, the finite Markov chain imbedding approach is employed to obtain the probability mass function, the distribution function and the mean of shock length. Three preventive maintenance policies are proposed for the system under different monitoring conditions, and corresponding optimization models are constructed to determine the optimal quantities. Finally, numerical examples are given for the proposed model.
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DOI：
10.1016/s0305-0548(03)00121-7
发表时间：
2004-10
期刊：
Comput. Oper. Res.
影响因子：
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通讯作者：
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影响因子：
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作者：
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