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Solving a Queuing Model with Mathematica

Arnold O. Allen
Gary Hynes
Journal / Anthology

The Mathematica Journal
Year: 1991
Volume: 1
Issue: 3
Page range: 108-112

Queueing theory is a useful discipline for modeling computer systems, and mean-value analysis (MVA) is one of its most powerful tools. We present two network models for computer systems, together with algorithms to solve them. We show how certain features of Mathematica, such as functional and rule-based programming and the ability to set up a database with symbolic indices, make the implementation of the exact MVA algorithm for closed, multiclass queuing networks much easier than it is in traditional programming techniques.

*Applied Mathematics > Optimization