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

Bara Kim; Jeongsim Kim

doi:10.1016/j.orl.2011.04.003

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

Bara Kim
, Jeongsim Kim^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

This work analyzes the waiting time distribution in the M/G/1 retrial queue. The first two moments of the waiting time distribution are known from the literature. In this work we obtain all the moments of the waiting time distribution.

Original language	English
Pages (from-to)	224-228
Number of pages	5
Journal	Operations Research Letters
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/j.orl.2011.04.003
Publication status	Published - 2011 May

Bibliographical note

Funding Information:
J. Kim’s research was supported by the Korea Research Foundation (KRF) grant funded by the Korea government (MEST) (2010-0016616) .

Keywords

LaplaceStieltjes transform
M/G/1 retrial queue
Waiting time

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/j.orl.2011.04.003

Cite this

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title = "Higher moments of the waiting time distribution in M/G/1 retrial queues",

abstract = "This work analyzes the waiting time distribution in the M/G/1 retrial queue. The first two moments of the waiting time distribution are known from the literature. In this work we obtain all the moments of the waiting time distribution.",

keywords = "LaplaceStieltjes transform, M/G/1 retrial queue, Waiting time",

author = "Bara Kim and Jeongsim Kim",

note = "Funding Information: J. Kim{\textquoteright}s research was supported by the Korea Research Foundation (KRF) grant funded by the Korea government (MEST) (2010-0016616) .",

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AU - Kim, Bara

AU - Kim, Jeongsim

N1 - Funding Information: J. Kim’s research was supported by the Korea Research Foundation (KRF) grant funded by the Korea government (MEST) (2010-0016616) .

PY - 2011/5

Y1 - 2011/5

N2 - This work analyzes the waiting time distribution in the M/G/1 retrial queue. The first two moments of the waiting time distribution are known from the literature. In this work we obtain all the moments of the waiting time distribution.

AB - This work analyzes the waiting time distribution in the M/G/1 retrial queue. The first two moments of the waiting time distribution are known from the literature. In this work we obtain all the moments of the waiting time distribution.

KW - LaplaceStieltjes transform

KW - M/G/1 retrial queue

KW - Waiting time

UR - https://www.scopus.com/pages/publications/79956079242

U2 - 10.1016/j.orl.2011.04.003

DO - 10.1016/j.orl.2011.04.003

M3 - Article

AN - SCOPUS:79956079242

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VL - 39

SP - 224

EP - 228

JO - Operations Research Letters

JF - Operations Research Letters

IS - 3

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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