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

Yutae Lee, Bong Dae Choi, Bara Kim and Dan Keun Sung

Mathematical Problems in Engineering, 2007, vol. 2007, 1-12

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:014504

DOI: 10.1155/2007/14504

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