Steady State Solution for Models with Geometric and Finite Support
Activity Duration
A. Horváth
Abstract:
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.
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András Horváth, 2008-06-25