王丽花;岳德权;张静;刘海涛;

• 1:燕山大学理学院

摘要(Abstract)：

为了解决多状态退化系统问题,利用马尔可夫过程理论及补充变量法建立了微分方程组,并采用Laplace变换法及其反演方法,研究了带有小修和一般型更换维修策略的模型。假定系统连续退化成许多离散状态,在系统退化到失效状态时,实施更换函数为一般分布的更换策略,使系统修复如新;系统在每个退化状态可能随机失效,然后得到小修,得到了可靠度和首次故障前的平均时间的表达式,可用度和首次故障前的平均时间的Laplace变换式等重要的可靠性指标。该成果具有一定的理论和实际意义。

关键词(KeyWords)： 多状态系统;退化;小修;更换策略;可靠性指标;多状态退化系统;马尔可夫过程;补充变量法

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金资助项目(71071133)

作者(Authors): 王丽花;岳德权;张静;刘海涛;

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