Power Series for Stationary Distributions of Coupled Processor Models

摘要

For the coupled processor model with exponential service times an approach is presented to calculate the stationary distribution of the queue length. In the approach the stationary probabilities are expressed as power series in the parameter rho, the traffic intensity of the system. The method is not restricted to state spaces (of the underlying continuous time Markov chain) of dimension 2, but applies equally well to higher dimensional state spaces. (Copyright (c) 1987 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)