一类修不如新可修复系统解的存在唯一性

Existence and Uniqueness of the Solution of a Repairable System with Repairing is not as Good as New

用增补变量的方法建立了在人为错误下修不如新的两同型部件并联可修复系统。在假设部件寿命服从指数分布,而修理时间服从一般分布的条件下,运用积分方程理论研究了系统非负解的存在唯一性问题。

We establish a human error modeling of two identical units parallel repairable system with repairing is not as good as new using the supplementary variable method. Under assumption that the life time of units follows exponential distribution, and repair time subjects to the general distribution, the problem of the exist- ence and uniqueness of the solution of the system are discussed by using integral equation theory.