Xmgm: Performance Modeling Using Matrix Geometric Techniques

Over the last two decades a considerable amount of e ort has been put in the development and applica tion of matrix geometric techniques for the analysis of queueing systems of which the embedded Markov chain exhibits a regular structure Most of this work however has been presented in either a mathematical context or in a purely application oriented context In this paper we present Xmgm a performance analysis tool which allows its users to easily specify queueing systems in terms of interarrival and ser vice time distributions Xmgm then takes care of the translation of this description to an underlying Markov chain that exhibits a matrix geometric solution Subse quently it takes care of the derivation of the measures speci ed by the user With Xmgm models are speci ed via C procedure calls This turns out to be a very exible approach for modelling queueing systems it also allows for the easy evaluation of models over parameter ranges