A Software Package for Queueing Networks and Markov Chains analysis

preprint2022arXivOpen access

Abstract

Queueing networks and Markov chains are widely used for conducting performance and reliability studies. In this paper we describe the queueing package, a free software package for queueing networks and Markov chain analysis for GNU Octave. The queueing package provides implementations of numerical algorithms for computing transient and steady-state performance measures of discrete and continuous Markov chains, and for steady-state analysis of single-station queueing systems and queueing networks. We illustrate the design principles of the queueing package, describe its most salient features and provide some usage examples.

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