A Unified ME Algorithm for Arbitrary Open QNMs with Mixed Blocking Mechanisms

  • Authors:
  • Jumma S. Alanazi;Demetres D. Kouvatsos

  • Affiliations:
  • -;-

  • Venue:
  • SAINT '11 Proceedings of the 2011 IEEE/IPSJ International Symposium on Applications and the Internet
  • Year:
  • 2011

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Abstract

The performance modelling and engineering of the next generation Internet, towards convergent multiservice heterogeneous networks, require the use of credible and cost-effective algorithms. In this context, a unified maximum entropy (ME) algorithm is devised for the approximate analysis of an arbitrary open queueing network model with blocking (QNM-B) and bursty traffic, subject to mixed blocking mechanisms (BMs) namely, Blocking After Service (BAS), Blocking Before Service (BBS) and Repetitive Service Blocking with Fixed (RS-FD) and Random (RS-RD) destinations. At each node of the QNM-B, the generalised exponential (GE) type distribution is employed to model the interarrival and service times. Moreover, analytic frameworks are devised for the determination of the first two moments of BM-dependent effective service times and overall interarrival times, towards a node-by-node decomposition of the entire network. The credibility of the ME algorithm against simulation is illustrated by means of typical numerical experiments of an open QNM-B with bursty traffic and mixed BMs.