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Using ODEs from PEPA models to derive asymptotic solutions for a class of closed queueing networks

Lookup NU author(s): Dr Nigel Thomas

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Abstract

In this paper a class of closed queueing network is modelled in the Markovian process algebra PEPA. It is shown that a fluid flow approximation using ordinary differential equations (ODEs) gives rise to well known asymptotic results. This result gives context to the use of a fluid flow approximation and is potentially useful in cases where the model is not obviously a closed queueing network. The approach is illustrated using examples of a secure key distribution centre and a multi-user query processing system.

Publication metadata

Author(s): Thomas N

Publication type: Report

Publication status: Published

Series Title: School of Computing Science Technical Report Series

Year: 2008

Pages: 20

Print publication date: 01/12/2008

Source Publication Date: December 2008

Report Number: 1129

Institution: School of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/1129.pdf

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