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Transient Analysis of Two-Dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule

by Indra, Renu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 13
Year of Publication: 2012
Authors: Indra, Renu
10.5120/5040-7364

Indra, Renu . Transient Analysis of Two-Dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule. International Journal of Computer Applications. 40, 13 ( February 2012), 17-22. DOI=10.5120/5040-7364

@article{ 10.5120/5040-7364,
author = { Indra, Renu },
title = { Transient Analysis of Two-Dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 13 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number13/5040-7364/ },
doi = { 10.5120/5040-7364 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:27:58.898024+05:30
%A Indra
%A Renu
%T Transient Analysis of Two-Dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 13
%P 17-22
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is concerned with the transient analysis of two-dimensional M/G/1 queueing model with general vacation time based on Bernoulli schedule under multiple vacation policy. As soon as a service gets completed, the server may take a vacation or may continue staying in the system. Whenever no customers are present, after a service completion or a vacation completion, the server always takes a vacation. Laplace transforms of probabilities of exact number of arrivals & departures by a given time t and number of units arrive by time t using supplementary variable technique are obtained. The emphasis in this paper is theoretical but numerical assessment of operational consequences is also given and presented graphically. Finally, some special cases of interest are derived there from.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Two-dimensional queueing model Multiple Vacation Bernoulli Schedule Non-Markovian queue Supplementary variable technique.

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