Waiting time distribution in an M/PH/1 retrial queue

Authors:
Jeongsim Kim;Bara Kim
Affiliations:
Department of Mathematics Education, Chungbuk National University, 52 Naesudong-ro, Heungdeok-gu, Cheongju, Chungbuk, 361-763, Republic of Korea;Department of Mathematics, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 136-701, Republic of Korea
Venue:
Performance Evaluation
Year:
2013

Citing 5
Cited 0

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Mathematical and Computer Modelling: An International Journal
Accessible bibliography on retrial queues: Progress in 2000-2009

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Higher moments of the waiting time distribution in M/G/1 retrial queues

Operations Research Letters

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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.