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M / G / 1 / K system with push-out scheme under vacation policy

Author

Listed:
  • Shoji Kasahara
  • Hideaki Takagi
  • Yutaka Takahashi
  • Toshiharu Hasegawa

Abstract

We consider an M / G / 1 / K system with push-out scheme and multiple vacations. This model is particularly important in situations where it is essential to provide short waiting times to messages which are selected for service. We analyze the behavior of two types of messages: one that succeeds in transmission and the other that fails. We derive the Laplace-Stieltjes transform of the waiting time distribution for the message which is eventually served. Finally, we show some numerical results including the comparisons between the push-out and the ordinary blocking models.

Suggested Citation

  • Shoji Kasahara & Hideaki Takagi & Yutaka Takahashi & Toshiharu Hasegawa, 1996. "M / G / 1 / K system with push-out scheme under vacation policy," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-15, January.
    • Handle: RePEc:hin:jnijsa:460783
    DOI: 10.1155/S1048953396000159
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    Cited by:

    1. Chris Blondia, 2022. "Evaluation of the Waiting Time in a Finite Capacity Queue with Bursty Input and a Generalized Push-Out Strategy," Mathematics, MDPI, vol. 10(24), pages 1-12, December.

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