In: ITG-Fachtagung, Neubiberg, Germany, September 18-20, 1991: Informatik-Fachberichte, Vol. 286: Messung, Modellierung und Bewertung von Rechensystemen, 6 GI, pages 306-319. Berlin, Heidelberg: Springer-Verlag, 1991.
Abstract: This paper proposes to employ the randomization technique improved by a numerically stable calculation of Poisson probabilities for computing transient solutions of Markov chains underlying stochastic Petri net models. It is shown how to employ this numerical method for calculating the time-dependent quantities required by the solution process of DSPN models. The benefit of the described method is illustrated by stochastic Petri net models for two queueing systems. The presented results show that the model solutions are calculated with significantly less computational effort and a better error control by refined randomization method than by an adaptive matrix exponentiation method implemented in the version 1.4 of the software package GreatSPN