Short run dynamics of multi-class queues

  • Authors:
  • Eric J. Friedman;A. S. Landsberg

  • Affiliations:
  • Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA 94720, USA;Department of Physics, University of California, Berkeley, CA 94720, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1993

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Abstract

We study the dynamics of general queueing systems with multiple classes of customers undergoing self-selection. We prove that if the capacity of a queue is sufficiently large, the equilibrium arrival rate will be globally stable. As the capacity is decreased, the arrival rate typically oscillates near the equilibrium.