Delay Analysis of anM/G/1/KPriority Queueing System with Push-out Scheme

Author:

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

Abstract

This paper considers anM/G/1/Kqueueing 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.

Funder

LG Yonam Foundation

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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