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Steady state solution for models with geometric and finite support activity duration

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1 Author(s)
A. Horvath ; Dipt. di Informatica, Univ. di Torino, Italy

This paper addresses steady state solution of discrete time stochastic models in which every activity duration is given either by a geometric or a finite support distribution. Finite support distributions can be described by discrete time phase type (DPH) distributions. The behaviour of the whole stochastic model is given by a discrete time Markov chain (DTMC). The DTMC is subject to the so-called state space explosion. We present a technique for obtaining the steady state solution that alleviates this problem. The technique is based on Gaussian elimination combined with an iterative technique.

Published in:

Second International Conference on the Quantitative Evaluation of Systems (QEST'05)

Date of Conference:

19-22 Sept. 2005