随机状态机Petri网性能分析的矩母函数方法

Moment generating function approach for evaluating state machine stochastic Petri nets

提出了对随机Ｐｅｔｒｉ网的一个子网—随机状态机Ｐｅｔｒｉ网进行性能分析的矩母函数解析计算方法，并通过例子说明了该方法的计算过程。对特定的系统应用该方法时，首先将其表示成状态机Ｐｅｔｒｉ网模型，计算出传递函数，然后求出系统的性能测度。该方法克服了马尔可夫链对时间延迟必须是负指数分布的限制，从而使其具有更广泛的适用性。

A moment generating function based approach is presented for perfomance analysis of state machine stochastic Petri nets(SMSPN)that is a subclass of stochastic Petri nets,In this method,the SMSPN is firstly modeled given the specification of a system,then the transfer functions are derived,and finally system performance is calculated.An example is given to illustrate the pro-posed method.