The MX/G/1 queue with queue length dependent service times-Reference-Cited by-同舟云学术

The MX/G/1 queue with queue length dependent service times

Published:2001-01-01 Issue:4 Volume:14 Page:399-419
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Choi Bong Dae¹,Kim Yeong Cheol²,Shin Yang Woo³,Pearce Charles E. M.⁴

Affiliation:

1. Korea University, Department of Mathematics, A nam-dong Sungbuk-gu, Seoul 136- 701, Korea

2. Mokpo National University, Department of Mathematics, Muan-gu, Chonnam 534- 729, Korea

3. Changwon National University, Department of Statistics, 9 Sarimdong, Changwon 641-773, Korea

4. University of Adelaide, Department of Applied Mathematics, Adelaide 5005, SA, Australia

Abstract

We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/2001/921703.pdf

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