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^*

^*Corresponding author for this work

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

7 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.",

keywords = "Coupling method, Laplace-Stieltjes transform, M / PH / 1 retrial queue, Waiting time distribution",

author = "Jeongsim Kim and Bara Kim",

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pages = "286--299",

journal = "Performance Evaluation",

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T1 - Waiting time distribution in an M / PH / 1 retrial queue

AU - Kim, Jeongsim

AU - Kim, Bara

PY - 2013

Y1 - 2013

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

UR - https://www.scopus.com/pages/publications/84875931844

U2 - 10.1016/j.peva.2012.12.003

DO - 10.1016/j.peva.2012.12.003

M3 - Article

AN - SCOPUS:84875931844

SN - 0166-5316

VL - 70

SP - 286

EP - 299

JO - Performance Evaluation

JF - Performance Evaluation

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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