A Bulk Queuing model of Optional Second Phase Service with Short and Long vacations

Authors(2) :-Dr. S. Maragathasundari, K. Karthikeyan

We study a single server queue, two phases of services with optional second phase service following a general service time distribution. Customers arrive in Batches of variable size. Arrival follows a Poisson distribution. The first phase service is essential. Other phase is optional. After service completion, the server has the option to take long or short vacations with probability m1 and m2 respectively. The system subject to breakdown at random. Repair time follows exponential distribution. We derive the system size distribution and other performance indices such as average number of customers and the average waiting time in the queue and the system by employing generating function and supplementary variable techniques.

Authors and Affiliations

Dr. S. Maragathasundari
Department of Mathematics, Kalasalingam University, Krishnankoil, Tamilnadu, India
K. Karthikeyan
Department of Mathematics, Velammal Institute of Technology, Chennai, India

Bulk Arrival, Optional Services, Short Vacations, Long Vacations

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Publication Details

Published in : Volume 2 | Issue 5 | September-October 2016
Date of Publication : 2016-10-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 196-201
Manuscript Number : IJSRST162534
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

Dr. S. Maragathasundari, K. Karthikeyan, " A Bulk Queuing model of Optional Second Phase Service with Short and Long vacations", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 2, Issue 5, pp.196-201, September-October-2016.
Journal URL : http://ijsrst.com/IJSRST162534

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