人为故障下两部件备用可修复系统解存在的惟一性

The Existence and Uniqueness of Solution to the Standby Maintenance System with Two Units under Human Failures

研究人为故障下两部件备用可修复系统的模型。根据假设,建立数学模型,把系统模型转化为volterra积分方程组,进而运用积分方程理论证明了系统解存在的惟一性。

In this paper, the model of the standby maintenance system which is with two units under human failures is studied. First according to the assumptions, the mathematics model is established, which is presented by integro-differential equations, and then, the system model was translated into volterra integral equations. At the end, by using integral equation theory we prove the existence and uniqueness of solution to this system.