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Transient Solution of Two-Dimensional State M/G/1 Queueing Model with Working Vacations

by Indra, Ruchi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 15 - Number 5
Year of Publication: 2011
Authors: Indra, Ruchi
10.5120/1948-2606

Indra, Ruchi . Transient Solution of Two-Dimensional State M/G/1 Queueing Model with Working Vacations. International Journal of Computer Applications. 15, 5 ( February 2011), 1-7. DOI=10.5120/1948-2606

@article{ 10.5120/1948-2606,
author = { Indra, Ruchi },
title = { Transient Solution of Two-Dimensional State M/G/1 Queueing Model with Working Vacations },
journal = { International Journal of Computer Applications },
issue_date = { February 2011 },
volume = { 15 },
number = { 5 },
month = { February },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume15/number5/1948-2606/ },
doi = { 10.5120/1948-2606 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:03:19.463900+05:30
%A Indra
%A Ruchi
%T Transient Solution of Two-Dimensional State M/G/1 Queueing Model with Working Vacations
%J International Journal of Computer Applications
%@ 0975-8887
%V 15
%N 5
%P 1-7
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Transient behaviour of a first-come first-served, two- dimensional state M/G/1 queueing model with working vacation is studied. As soon as the system becomes empty, the server leaves the system and takes vacation for random duration during which it may perform ancillary duty and is called on working vacation. The server works with different service rate rather than completely stopping service during a vacation. Both service times during busy period and vacation period and vacation times are assumed to follow general distribution. The Laplace transform of the probabilities of exact number of arrivals and departure by a given time are obtained. The emphasis in this paper is theoretical but numerical assessment of operational consequences is also given and presented graphically. Finally some particular cases are derived there from.

References
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Index Terms

Computer Science
Information Sciences

Keywords

M/G/1 queue Working vacation Two-dimensional state model Laplace Transform

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