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

Jeongsim Kim; Bara Kim

doi:10.1016/j.peva.2012.12.003

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

Jeongsim Kim, Bara Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	286-299
Number of pages	14
Journal	Performance Evaluation
Volume	70
Issue number	4
DOIs	https://doi.org/10.1016/j.peva.2012.12.003
Publication status	Published - 2013

Keywords

Coupling method
Laplace-Stieltjes transform
M / PH / 1 retrial queue
Waiting time distribution

ASJC Scopus subject areas

Software
Modelling and Simulation
Hardware and Architecture
Computer Networks and Communications

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10.1016/j.peva.2012.12.003

Cite this

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title = "Waiting time distribution in an M / PH / 1 retrial queue",

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.",

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AU - Kim, Jeongsim

AU - Kim, Bara

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N2 - 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.

AB - 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.

KW - Coupling method

KW - Laplace-Stieltjes transform

KW - M / PH / 1 retrial queue

KW - Waiting time distribution

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DO - 10.1016/j.peva.2012.12.003

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SP - 286

EP - 299

JO - Performance Evaluation

JF - Performance Evaluation

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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