On the optimal control of a two-queue polling model

  • Authors:
  • F. Avram;A. GóMez-Corral

  • Affiliations:
  • Department de Mathematiques, Université de Pau et des Pays de l'Adour, Avenue de l'université, 64000 Pau, France;Department of Statistics and Operations Research I, Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid, Spain

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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Abstract

This paper deals with two M/M/1 queues served by a single server with threshold switching. Our main goal is to solve the Poisson equation and, as a result, give expressions for the long-run expected average cost of holding units and switching actions of the server, and the bias vector.