Waiting times in queues with relative priorities

  • Authors:
  • Moshe Haviv;Jan Van Der Wal

  • Affiliations:
  • Department of Statistics, The Hebrew University of Jerusalem, 91905 Jerusalem, Israel;Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands and Faculty of Economics and Business, University of Amsterdam, Amsterdam, The Nethe ...

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

This paper determines the mean waiting times for a single server multi-class queueing model with Poisson arrivals and relative priorities. If the server becomes idle, the probability that the next job is from class-i is proportional to the product between the number of class-i jobs present and their priority parameter.