对具有定常故障率和任意系统修复率的可修复系统的猜测分析

Stochastic Analysis of a Repairable System with Constant Error Rates and Arbitrary System Repair Rates

研究了具有定常人为故障率 (human error rates)和通常故障率 (common-cause failure rates) ,修复时间任意分布的可修复系统的数学模型 .首先将此系统转换为 Banach空间下的 Volterra积分方程 ,得到了系统非负解的存在性和唯一性结果 .

A mathematical model of a repairable system with constant human error,commoncause failure rates and system repair times arbitrary distributed is discussed. First, the system is transformed into Volterra integrational equations in a Banach space. Then the result of the existance and uniqueness of the nonnegative solution of the system is obtained.