Throughputs in processor sharing models for integrated stream and elastic traffic

Authors:
Remco Litjens;Hans van den Berg;Richard J. Boucherie
Affiliations:
Department of Planning, Performance and Quality, TNO ICT, The Netherlands;Department of Planning, Performance and Quality, TNO ICT, The Netherlands and Department of Computer Science, University of Twente, The Netherlands;Department of Applied Mathematics, University of Twente, The Netherlands
Venue:
Performance Evaluation
Year:
2008

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Abstract

We present an analytical study of throughput measures in processor sharing queuing systems with randomly varying service rates, modelling e.g. a communication link in an integrated services network carrying prioritised fixed rate stream traffic and rate-adaptive elastic traffic. A number of distinct throughput measures for the elastic traffic are defined, analysed and compared under various system conditions, both by analytical means and simulation. It is concluded that the call-average throughput, which is most relevant from the user point of view but typically hard to analyse, is very well approximated by the newly proposed so-called expected instantaneous throughput, which is readily obtained from the system's steady state distribution.