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Waiting time distribution in an M/PH/1 retrial queue
- Authors
- Kim, Jeongsim; Kim, Bara
- Issue Date
- 4월-2013
- Publisher
- ELSEVIER
- Keywords
- M/PH/1 retrial queue; Waiting time distribution; Laplace-Stieltjes transform; Coupling method
- Citation
- PERFORMANCE EVALUATION, v.70, no.4, pp.286 - 299
- Indexed
- SCIE
SCOPUS
- Journal Title
- PERFORMANCE EVALUATION
- Volume
- 70
- Number
- 4
- Start Page
- 286
- End Page
- 299
- ISSN
- 0166-5316
- Abstract
- This paper analyzes the waiting time distribution in the M/PH/1 retrial queue. We give expressions for the Laplace-Stieltjes transform of the waiting time. We then provide a numerical algorithm for calculating the Laplace-Stieltjes transform of the waiting time. Numerical inversion of the Laplace-Stieltjes transforms is used to calculate the waiting time distribution. Numerical results are presented to illustrate our results. (C) 2013 Elsevier B.V. All rights reserved.
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