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Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair

by J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 73 - Number 11
Year of Publication: 2013
Authors: J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani
10.5120/12785-9902

J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani . Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair. International Journal of Computer Applications. 73, 11 ( July 2013), 13-17. DOI=10.5120/12785-9902

@article{ 10.5120/12785-9902,
author = { J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani },
title = { Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair },
journal = { International Journal of Computer Applications },
issue_date = { July 2013 },
volume = { 73 },
number = { 11 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 13-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume73/number11/12785-9902/ },
doi = { 10.5120/12785-9902 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:39:48.976185+05:30
%A J. Ebenesar Anna Bagyam
%A K. Udaya Chandrika
%A K. Prakash Rani
%T Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair
%J International Journal of Computer Applications
%@ 0975-8887
%V 73
%N 11
%P 13-17
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Bulk arrival general service retrial queueing system is analyzed in this paper. Server provides two phases of service-essential and optimal. After each service completion, the server searches for customers in the orbit. Customers may balk or renege at particular times. Accidental and active breakdown of the server is considered. The repair of the failed server starts after a random amount of time known as delay time. After repair the server continues the service of the interrupted customer or waits for the same customer. The necessary and sufficient condition for the system to be stable is presented. By applying supplementary variable technique, the steady state distributions of the server state and the number of customers in the orbit are obtained. Numerical examples are presented to illustrate the influence of the parameters on several performance characteristics

References
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Index Terms

Computer Science
Information Sciences

Keywords

Retrial Queue Server Breakdown Orbital Search Delayed Repair Reserved Time

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