A Finite MAPK/GK/1 Queueing System with Generalized Foreground-Background Processor-Sharing Discipline

  • Authors:

  • C. D'apice;R. Manzo;A. V. Pechinkin

  • Affiliations:

  • University of Salerno, Italy;University of Salerno, Italy;Institute of Information Problems, Russian Academy of Sciences, Moscow

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2004

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Abstract

Queuing systems with Markov arrival process, several customer types, generalized foreground-background processor-sharing discipline with minimal served length or separate finite buffers for customers of different types, or a common finite buffer for customers of all types are studied. Mathematical relations are derived and used to compute the joint stationary distribution of the number of customers of all types in a system.