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Transient Behaviour of a Tandem Queue

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  • N. U. Prabhu

    (Cornell University)

Abstract

Customers arrive in a Poisson process at a queueing system with two counters in series, with an infinite queue allowed before the first counter and no queue allowed before the second. The steady-state behaviour of this system was studied by earlier authors. In this paper the transient behaviour of the stochastic processes underlying the model is investigated.

Suggested Citation

  • N. U. Prabhu, 1967. "Transient Behaviour of a Tandem Queue," Management Science, INFORMS, vol. 13(9), pages 631-639, May.
    • Handle: RePEc:inm:ormnsc:v:13:y:1967:i:9:p:631-639
    DOI: 10.1287/mnsc.13.9.631
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    Cited by:

    1. A. Gómez‐Corral, 2004. "Sojourn times in a two‐stage queueing network with blocking," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1068-1089, December.
    2. Noa Zychlinski & Avishai Mandelbaum & Petar Momčilović, 2018. "Time-varying tandem queues with blocking: modeling, analysis, and operational insights via fluid models with reflection," Queueing Systems: Theory and Applications, Springer, vol. 89(1), pages 15-47, June.

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