A two-queue polling model with two priority levels in the first queue

  • Authors:
  • M. A. A. Boon;I. J. B. F. Adan;O. J. Boxma

  • Affiliations:
  • Eindhoven University of Technology, Eindhoven, The Netherlands;Eindhoven University of Technology, Eindhoven, The Netherlands;Eindhoven University of Technology, Eindhoven, The Netherlands

  • Venue:
  • Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
  • Year:
  • 2008

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Abstract

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. Two types of customers arrive at the first queue: high and low priority customers. For this situation the following service disciplines are considered: gated, globally gated, and exhaustive. We study the cycle time distribution, the waiting times for each customer type, the joint queue length distribution at polling epochs, and the steady-state marginal queue length distributions for each customer type.