Queueing Networks and Markov Chains Analysis with the Octave queueing package

Abstract

Queueing networks and Markov chains are a widely used modeling notation that has been successfully applied to many kind of systems. In this paper we describe the queueing package, a free software package for product-form queueing networks and Markov chains analysis written in GNU Octave. The queueing package allows users to compute performance measures of Markov chains, single-station queueing systems and product- and some non product-form Queueing Network (QN) models. We present some practical examples showing how the queueing package can be used for reliability analysis, capacity planning and general systems modeling.