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Analysis of a Discrete-Time Queueing System with a Markov-Modulated input Process and constant service Rate

Published online by Cambridge University Press:  27 July 2009

Woo-Yong Choi  and
Chi-Hyuck Jun
Woo-Yong Choi
Affiliation:
Department of Industrial Engineering, Pohang University of Science and Technology, San 31 Hyoja-dong, Pohang 790–784, Korea
Chi-Hyuck Jun
Affiliation:
Department of Industrial Engineering, Pohang University of Science and Technology, San 31 Hyoja-dong, Pohang 790–784, Korea
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Abstract

We propose a new approach to the analysis of a discrete-time queueing system whose input is generated by a Markov-modulated process and whose service rate is constant. Renewal cycles are identified and the system state on each renewal cycle is modeled as a one-dimensional Markov chain.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 10 , Issue 3 , July 1996 , pp. 429 - 441
Copyright
Copyright © Cambridge University Press 1996

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