Co axian - 2 General Service Queuing Model with Restricted Admissibility

Authors

  • P. Suthersan  Department of Mathematics, Kalasalingam University, Tamilnadu, India
  • S. Maragathasundari  Department of Mathematics, Kalasalingam University, Tamilnadu, India

Keywords:

Bulk arrival, optional second stage, compulsory vacation, restricted admissibility.

Abstract

We explore the steady state conduct of a bulk arrival queuing model with compulsory vacation. Here the arrival follows a poisson distribution. Service following a general service distribution is rendered in two stages in which the second stage is optional. After the completion of service, the server has to undergo a compulsory vacation. An important phenomenon of restricted admissibility is carried out in this model which plays a wide role in all the categories of system which are following the queuing strategy. We obtain in closed form, the steady state probability generating functions for the number of customers in the queue for various states of the server, the average number of customers as well as their average waiting time in the queue and the system.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2017-10-31

Issue

Volume 3, Issue 6, September-October-2017

Section

Research Articles

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How to Cite

[1]
P. Suthersan, S. Maragathasundari, " Co axian - 2 General Service Queuing Model with Restricted Admissibility, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 6, pp.860-866, September-October-2017.