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Delay Analysis of an M / G / 1 / K Priority Queueing System with Push-out Scheme

Author

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  • Yutae Lee
  • Bong Dae Choi
  • Bara Kim
  • Dan Keun Sung

Abstract

This paper considers an M / G / 1 / K queueing system with push-out scheme which is one of the loss priority controls at a multiplexer in communication networks. The loss probability for the model with push-out scheme has been analyzed, but the waiting times are not available for the model. Using a set of recursive equations, this paper derives the Laplace-Stieltjes transforms (LSTs) of the waiting time and the push-out time of low-priority messages. These results are then utilized to derive the loss probability of each traffic type and the mean waiting time of high-priority messages. Finally, some numerical examples are provided.

Suggested Citation

  • Yutae Lee & Bong Dae Choi & Bara Kim & Dan Keun Sung, 2007. "Delay Analysis of an M / G / 1 / K Priority Queueing System with Push-out Scheme," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-12, December.
    • Handle: RePEc:hin:jnlmpe:014504
    DOI: 10.1155/2007/14504
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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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