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  1. Journal of Systems Science and Systems Engineering
  2. Journal of Systems Science and Systems Engineering : Volume 17
  3. Journal of Systems Science and Systems Engineering : Volume 17, Issue 4, December 2008
  4. Optimal control of an M/G/1 retrial queue with vacations
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Journal of Systems Science and Systems Engineering : Volume 26
Journal of Systems Science and Systems Engineering : Volume 25
Journal of Systems Science and Systems Engineering : Volume 24
Journal of Systems Science and Systems Engineering : Volume 23
Journal of Systems Science and Systems Engineering : Volume 22
Journal of Systems Science and Systems Engineering : Volume 21
Journal of Systems Science and Systems Engineering : Volume 20
Journal of Systems Science and Systems Engineering : Volume 19
Journal of Systems Science and Systems Engineering : Volume 18
Journal of Systems Science and Systems Engineering : Volume 17
Journal of Systems Science and Systems Engineering : Volume 17, Issue 4, December 2008
On integration and adaptation in complex service systems
Optimal maintenance and replacement of extraction machinery
Ordered weighted distance measure
An improved branch-and-bound algorithm to minimize the weighted flowtime on identical parallel machines with family setup times
A smoothing conjugate gradient algorithm for nonlinear complementarity problems
Who won the 2008 Olympics? A multicriteria decision of measuring intangibles
Optimal control of an M/G/1 retrial queue with vacations
Sensitivity analysis of the knapsack problem: tighter lower and upper bound limits
Journal of Systems Science and Systems Engineering : Volume 17, Issue 3, September 2008
Journal of Systems Science and Systems Engineering : Volume 17, Issue 2, June 2008
Journal of Systems Science and Systems Engineering : Volume 17, Issue 1, March 2008
Journal of Systems Science and Systems Engineering : Volume 16
Journal of Systems Science and Systems Engineering : Volume 15
Journal of Systems Science and Systems Engineering : Volume 14
Journal of Systems Science and Systems Engineering : Volume 13
Journal of Systems Science and Systems Engineering : Volume 12

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Optimal control of an M/G/1 retrial queue with vacations

Content Provider Springer Nature Link
Author Aissani, Amar
Copyright Year 2008
Abstract In this note, we consider an M/G/1 retrial queue with server vacations, when retrial times, service times and vacation times are arbitrary distributed. The distribution of the number of customers in the system in stationary regime is obtained in terms of generating function. Next, we give heavy traffic approximation of such distribution. We show that the system size can be decomposed into two random variables, one of which corresponds to the system size of the ordinary M/G/1 FIFO queue without vacation. Such a stochastic decomposition property is useful for the computation of performance measures of interest. Finally, we solve simple problems of optimal control of vacation and retrial policies.
Starting Page 487
Ending Page 502
Page Count 16
File Format PDF
ISSN 10043756
Journal Journal of Systems Science and Systems Engineering
Volume Number 17
Issue Number 4
e-ISSN 18619576
Language English
Publisher SP Systems Engineering Society of China
Publisher Date 2008-12-06
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Retrial queues vacation optimal control stochastic decomposition ageing distribution heavy traffic Operations Research/Decision Theory Game Theory/Mathematical Methods Complexity
Content Type Text
Resource Type Article
Subject Control and Systems Engineering Information Systems
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