(N,n)-preemptive priority queues

  • Authors:
  • Kilhwan Kim

  • Affiliations:
  • -

  • Venue:
  • Performance Evaluation
  • Year:
  • 2011

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Abstract

In this paper, we propose a new priority discipline, called the (N,n)-preemptive priority discipline. Under this discipline, the preemption of the service of a low-class customer is determined by two thresholds N and n of the queue length of high-class customers. We consider M/G/1 priority queueing models with two customer classes under two different (N,n)-preemptive priority disciplines and derive the Probability Generating Functions (PGFs) of queue lengths of each class. We also show that, under the (N,n)-preemptive priority discipline, the QoS for high-class customers can be controlled within a certain bound, regardless of the restarting mode of a preempted service.