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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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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