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Markov Skeleton Processes and Applications to Queueing Systems

Markov Skeleton Processes and Applications to Queueing Systems In this paper, we apply the backward equations of Markov skeleton processes to queueing systems. The transient distribution of the waiting time of a GI/G/1 queueing system, the transient distribution of the length of a GI/G/N queueing system and the transient distribution of the length of queueing networks are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Markov Skeleton Processes and Applications to Queueing Systems

Acta Mathematicae Applicatae Sinica , Volume 18 (4) – Jan 1, 2002

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Publisher
Springer Journals
Copyright
Copyright © 2002 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s102550200056
Publisher site
See Article on Publisher Site

Abstract

In this paper, we apply the backward equations of Markov skeleton processes to queueing systems. The transient distribution of the waiting time of a GI/G/1 queueing system, the transient distribution of the length of a GI/G/N queueing system and the transient distribution of the length of queueing networks are obtained.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2002

References