Asymptotic expansions for probability distributions in large loss and closed queueing networks

  • Authors:

  • Yaakov Kogan

  • Affiliations:

  • AT&T Labs, Middletown, NJ

  • Venue:
  • ACM SIGMETRICS Performance Evaluation Review
  • Year:
  • 2001

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Abstract

Using integral representation in complex space and the saddle point method asymptotic expansions for probability distributions are derived for the generalised Engset model and a closed queueing network with multiple classes. The results can be applied to bandwidth engineering and admission control in data networks.