修理工多重延误休假的三部件并-串联退化系统模型

Three components of parallel-series degradation system model for multiple repairman delay vacations

为了解决由"修复非新"部件组成的具有休假的可修型系统,运用几何过程理论、补充变量法、拉普拉斯变换及拉普拉斯-司梯阶变换工具,研究了修理工多重延误休假的3个不同型部件和两个修理工组成的可修型并-串联系统.假定修理工的延误休假时间、部件的工作寿命和部件1的修理时间均服从不同的指数分布,部件2和3的修理时间和修理工休假时间均服从一般连续型分布,对部件1的修理是几何修理而对其他部件则修复如新,得到了系统的可用度、可靠度和系统首次故障前平均时间等可靠性指标。

In order to solve the ＂repair of non-new＂ components of repairable systems with repairman vacations, three components of a parallel-series system with multiple repairman vacation delays was studied by using the geometric process theory, the supplementary variable method, Laplace transform and Laplace-Stiehjes transform. Assume that the delayed vacation time of the repairman, the working time of components and the repair time of component 1 are subject ~o different exponential distributions and the repair time of components 2 and 3 and the vacation time of the repairman are subject to different general distribution. The repair of component I was genomeric repair and the others can be repaired as good as new. Some important reliability indices such as system availability, reliability, system average working time to the first failure were obtained.