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Time dependent solution of a Non-Markovian Queue with Triple stages of service having Compulsory vacation and service interruptions

by S. Maragatha Sundari, S. Srinivasan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 41 - Number 7
Year of Publication: 2012
Authors: S. Maragatha Sundari, S. Srinivasan
10.5120/5556-7631

S. Maragatha Sundari, S. Srinivasan . Time dependent solution of a Non-Markovian Queue with Triple stages of service having Compulsory vacation and service interruptions. International Journal of Computer Applications. 41, 7 ( March 2012), 37-43. DOI=10.5120/5556-7631

@article{ 10.5120/5556-7631,
author = { S. Maragatha Sundari, S. Srinivasan },
title = { Time dependent solution of a Non-Markovian Queue with Triple stages of service having Compulsory vacation and service interruptions },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 41 },
number = { 7 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 37-43 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume41/number7/5556-7631/ },
doi = { 10.5120/5556-7631 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:29:01.040776+05:30
%A S. Maragatha Sundari
%A S. Srinivasan
%T Time dependent solution of a Non-Markovian Queue with Triple stages of service having Compulsory vacation and service interruptions
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 7
%P 37-43
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, single server queue with poisson arrivals, triple stages of service with service interruption & compulsory server vacation is considered. After the completion of first stage and second stage of service, the server must provide the third-stage of service. After the completion of each third stage of service, the server will take compulsory vacation. The vacation time is, exponentially distributed. The time dependent probability generating functions have been obtained in terms of Laplace transforms.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Poisson Arrival Probability Generating Functions Time Dependent Solution Service Interruption Server Vacation

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