利用初等阶梯函数逼近的方法给出了具有预警功能的可修复人机储备系统的半离散化模型,并证明了两个简单性质.为进一步用Matlab进行数值分析提供了理论依据. The semi-discretization model of repairable human-machine reserve system with early-warning function is given by the method of elementary step function approximation, and two simple properties are proved, which provides a theoretical basis for further numerical analysis by Matlab.