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M/G/1 queue with controllable vacations and optimization of vacation policy

M/G/1 queue with controllable vacations and optimization of vacation policy We introduce the control parameterN in a common queue M/G/1 with vacations; the end of a global vacation period is controlled by the parameterN. This extension for a queue with vacations is of significance in certain practical cases. In this paper, we find various transient and steady-state results for the queue size, the delay times and the waiting times for the M/G/1 queue with controllable vacations. Finally, we also discuss optimal selection of the control parameter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

M/G/1 queue with controllable vacations and optimization of vacation policy

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Publisher
Springer Journals
Copyright
Copyright © 1991 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02009687
Publisher site
See Article on Publisher Site

Abstract

We introduce the control parameterN in a common queue M/G/1 with vacations; the end of a global vacation period is controlled by the parameterN. This extension for a queue with vacations is of significance in certain practical cases. In this paper, we find various transient and steady-state results for the queue size, the delay times and the waiting times for the M/G/1 queue with controllable vacations. Finally, we also discuss optimal selection of the control parameter.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 14, 2005

References