随机Petri网非乘积解系统的判定与界限求解

Decision of Non-product-form Solution Systems and Bounds Solution by Stochastic Petri Nets

本文基于随机Petri网 (SPN)提出了一种利用站平衡来判断非乘积解系统模型的方法 ,发现了可能导致站不平衡的三种Petri网结构 ,对这三种结构进行了分析 ,得出了产生非乘积解的系统原因 ,并给出了一种利用乘积解求解非乘积解系统模型性能界限的方法 ,这种方法可广泛应用于多种实际系统的性能界限求解 .

This paper presents a method for deciding non-product-from solution systems models using station balance by means of stochastic Petri net (SPN). We find out three kinds of Petri net structures which may cause station non-product-form solution. We also give a method of solving performance bounds for non-product-form solution systems.