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Performance analysis of single server non-Markovian retrial queue with working vacation and constant retrial policy

Published online by Cambridge University Press:  30 April 2014

V. Jailaxmi ,
R. Arumuganathan  and
M. Senthil Kumar
V. Jailaxmi
Affiliation:
Department of Mathematics, PSG College of Technology, 641004 - Coimbatore, India. subaprasannaa@yahoo.co.in; ran_psgtech@yahoo.co.in
R. Arumuganathan
Affiliation:
Department of Mathematics, PSG College of Technology, 641004 - Coimbatore, India. subaprasannaa@yahoo.co.in; ran_psgtech@yahoo.co.in
M. Senthil Kumar
Affiliation:
Department of Applied Mathematics and Computational Sciences, PSG College of Technology, 641004 - Coimbatore, India; ms_kumar@yahoo.com
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Abstract

This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.

Keywords

Retrial queueworking vacationconstant retrial policy
Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 3 , July 2014 , pp. 381 - 398
Copyright
© EDP Sciences, ROADEF, SMAI, 2014

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