Analysis of the MX/G/1 retrial queue

Bara Kim; Jeongsim Kim

doi:10.1007/s10479-015-1921-6

Analysis of the MX/G/1 retrial queue

Bara Kim, Jeongsim Kim

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival (Formula presented.) retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.

Original language	English
Journal	Annals of Operations Research
DOIs	https://doi.org/10.1007/s10479-015-1921-6
Publication status	Accepted/In press - 2015 Jun 13

Keywords

Batch arrivals
Queue length distribution
Retrial queue
Waiting time distribution

ASJC Scopus subject areas

Management Science and Operations Research
Decision Sciences(all)

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10.1007/s10479-015-1921-6

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title = "Analysis of the MX/G/1 retrial queue",

abstract = "In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival (Formula presented.) retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.",

keywords = "Batch arrivals, Queue length distribution, Retrial queue, Waiting time distribution",

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AU - Kim, Jeongsim

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N2 - In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival (Formula presented.) retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.

AB - In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival (Formula presented.) retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.

KW - Batch arrivals

KW - Queue length distribution

KW - Retrial queue

KW - Waiting time distribution

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JO - Annals of Operations Research

JF - Annals of Operations Research

SN - 0254-5330

ER -

Analysis of the MX/G/1 retrial queue

Abstract

Keywords

ASJC Scopus subject areas

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