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

  • Katayama T
  • Kobayashi K
  • 3


    Mendeley users who have this article in their library.
  • 0


    Citations of this article.


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. © 1995.

Author-supplied keywords

  • Cyclic-service tandem queue
  • General decrementing service
  • Sojourn time distribution

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • T. Katayama

  • K. Kobayashi

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free