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

Authors

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

Keywords:

Bulk Arrival, Optional Services, Short Vacations, Long Vacations

Abstract

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.

References

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International Journal of Scientific Research in Science and Technology

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Published

2016-10-30

Issue

Volume 2, Issue 5, September-October-2016

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
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), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 2, Issue 5, pp.196-201, September-October-2016.