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Numerical analysis of superposed GSPNs

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1 Author(s)
Kemper, P. ; Fachbereich Inf. IV, Dortmund Univ., Germany

The numerical analysis of various modeling formalisms profits from a structured representation for the generator matrix Q of the underlying continuous time Markov chain, where Q is described by a sum of tensor (kronecker) products of much smaller matrices. In this paper we describe such a representation for the class of superposed generalized stochastic Petri nets (SGSPNs). Furthermore a new iterative analysis algorithm is proposed which pays special attention to a memory efficient representation of iteration vectors as well as to a memory efficient, structured representation of Q. In consequence the new algorithm is able to solve models which have state spaces with several millions of states and where other exact numerical methods become impracticable on a common workstation

Published in:

Petri Nets and Performance Models, 1995., Proceedings of the Sixth International Workshop on

Date of Conference:

3-6 Oct 1995