Maxima of Waiting Times for the Random Order Service M|M|1 Queue

  • Authors:

  • A. V. Lebedev

  • Affiliations:

  • M.V. Lomonosov Moscow State University, Lomonosov, Russia

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2005

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Abstract

A random order service M|M|1 queueing system is considered. A stochastic estimate for the asymptotic distribution of normalized maxima of waiting times and an estimate for the upper limit almost sure are obtained.