Annals of Operations Research

, Volume 49, Issue 1, pp 241–278 | Cite as

A universal building block for the approximate analysis of a shared buffer ATM switch architecture

  • Demetres D. Kouvatsos
  • Spiros G. Denazis
Article

Abstract

A universal analytic approximation is proposed for the performance analysis of a general queueing model of a shared buffer ATM switch architecture with bursty arrivals. The forms of the joint, aggregate and marginal state probabilities are characterised via entropy maximisation. As an application, a continuous-time maximum entropy (ME) solution is implemented at equilibrium by assuming that the arrival process to each port of the ATM switch is modelled by a Compound Poisson Process (CPP) with geometrically distributed batches. Consequently, efficientz-transform-type recursive expressions of low computational cost are derived. Validation tests against simulation show that the ME approximation is credible with a very good error-level. Moreover, performance bounds for the mean queue length and cell-loss probability at each output port are experimentally defined over those generated by Interrupted Poisson Processes (IPPs) having the same first two interarrival-time moments.

Keywords

Poisson Process Performance Bound Maximum Entropy Queue Length Validation Test 

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Copyright information

© J.C. Baltzer AG, Science Publishers 1994

Authors and Affiliations

  • Demetres D. Kouvatsos
    • 1
  • Spiros G. Denazis
    • 1
  1. 1.Computer Systems Modelling Research GroupUniversity of BradfordBradfordEngland

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