本文对具有时间消耗可数活动特征的一类离散事件系统进行了分析。用极大代数,将n 台机床加工 m 种产品的机械加工进程问题构成新的“线性”系统,应用线性系统理论的一些观点和类似方法,研究静态与动态、开环与闭环时的数学模型,并通过实例计算输出响应、特征值与特征向量等,进而阐述了这类系统的稳定概念与特点。 In this paper, a class of discrete event systems with time-consuming activity is analyzed. Using the maximal algebra, the problem of the machining process of m kinds of products in n machine tools is formed into a new “linear” system. Some concepts and methods of linear system theory are applied to study the mathematical models of static and dynamic, open-loop and closed-loop , And calculates the output response, eigenvalue and eigenvector by examples, and then expounds the concept and characteristics of the stability of this kind of system.