Transient analysis of a single server queue with disasters and repairs under Bernoulli working vacation schedule
Abstract
An M/M/1 queueing model with disasters and repairs under Bernoulli working vacation schedule is considered. In this model, after every completion of service the server may take vacation with probability q or the server may render service to the next customer with probability p. By considering the disaster to occur, only when the server is in busy state, the explicit analytical expressions for time dependent probabilities are derived using Laplace transform and generating function technique.
Copyright © 2020 M. Lakshmi Priya, B. Janani. 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.
Cite this article
M. L. Priya, B. Janani, Transient analysis of a single server queue with disasters and repairs under Bernoulli working vacation schedule, J. Math. Comput. Sci. 11 (2021), 312–329. https://doi.org/10.28919/jmcs/5085
BibTeX
@article{Priya2021,
author = {Priya, M. Lakshmi and Janani, B.},
title = {Transient analysis of a single server queue with disasters and repairs under Bernoulli working vacation schedule},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {312--329},
doi = {10.28919/jmcs/5085}
}