Impact of Bernoulli and non-Bernoulli working vacation schedule on single server Markovian queue with disaster

M. Lakshmi Priya, N. Kalaivani

Abstract


We discussed SSMQM (Single Server Markovian Queueing Model) with disaster. In Bernoulli trial, vacation period for working, after work the server either wait for the next service with probability p (or) go for a vacation with probability q. By letting the disaster to happen in busy state, time dependent probabilities of the model under Bernoulli and Non-Bernoulli are investigated under Laplace transform techniques and recurrence relation for generating function at power series.

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Published: 2021-08-16

How to Cite this Article:

M. Lakshmi Priya, N. Kalaivani, Impact of Bernoulli and non-Bernoulli working vacation schedule on single server Markovian queue with disaster, J. Math. Comput. Sci., 11 (2021), 6629-6637

Copyright © 2021 M. Lakshmi Priya, N. Kalaivani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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