Queueing Systems

, Volume 8, Issue 1, pp 149–163 | Cite as

Delay analysis of discrete-time priority queue with structured inputs

  • Yoshitaka Takahashi
  • On Hashida


This paper investigates a discrete-time priority queue with multi-class customers. Applying a delay-cycle analysis, we explicitly derive the probability generating function of the waiting time for an individual class in a geometric batch input queue under preemptive-resume and head-of-the-line priority rules. The conservation law and waiting time characterization for a general class of discrete-time queues are also presented. The results in this paper cover several previous results as special cases.


Discrete-time queues priority conservation law delay-cycle analysis 


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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1991

Authors and Affiliations

  • Yoshitaka Takahashi
    • 1
  • On Hashida
    • 2
  1. 1.NTT Communication Switching LaboratoriesMusashino-shiJapan
  2. 2.Graduate School of Systems ManagementThe University of TsukubaTokyoJapan

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