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Sojourn time analysis for a cyclic-service tandem queueing model with general decrementing service

Published: 01 November 1995 Publication History

Abstract

A sojourn time analysis is provided for a cyclic-service tandem queue with general decrementing service which operates as follows: starting once a service of queue 1 in the first stage, a single server continues serving messages in queue 1 until either queue 1 becomes empty, or the number of messages decreases to k less than that found upon the server's last arrival at queue 1, whichever occurs first, where 1 @? k @? ~. After service completion in queue 1, the server switches over to queue 2 in the second stage and serves all messages in queue 2 until it becomes empty. It is assumed that an arrival stream is Poissonian, message service times at each stage are generally distributed and switch-over times are zero. This paper analyzes joint queue-length distributions and message sojourn time distributions.

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  1. Sojourn time analysis for a cyclic-service tandem queueing model with general decrementing service

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      cover image Mathematical and Computer Modelling: An International Journal
      Mathematical and Computer Modelling: An International Journal  Volume 22, Issue 10-12
      November, 1995
      314 pages

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      Elsevier Science Publishers B. V.

      Netherlands

      Publication History

      Published: 01 November 1995

      Author Tags

      1. Cyclic-service tandem queue
      2. General decrementing service
      3. Sojourn time distribution

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