.svg){kind=logo}
A STOCHASTIC QUEUE MODEL FOR AN EYE HOSPITAL SYSTEM
Keywords:
stochastic queue model, eye hospital, Poisson probability distribution, probability generating function technique, queue performance measures.DOI:
https://doi.org/10.17654/0972361722048Abstract
In this paper, we design a queue model for eye hospital in stochastic environment. We try to frame a queue model which arises when people/patients go to eye hospital for eye check-up. The customer has to pass through some service channels to get the service in eye hospital. It is assumed that the service will be completed when the customers/patients pass through all the service channels. In this model, it is assumed that the arrival pattern and service pattern follow the Poisson probability distribution. The calling population is taken as infinite. Probability generating function technique is used to find queue characteristics. Behavioural analysis is done graphically with the help of tables obtained by giving particular values to arrival rate, service rate and probabilities.
Received: March 31, 2022
Revised: April 21, 2022
Accepted: June 14, 2022
References
R. R. P. Jackson, Random queuing process with phase service, J. Roy. Statist. Soc. B 18 (1954), 129-132.
T. L. Satty, Elements of Queuing Theory with Applications, McGraw-Hill, New York, 1961.
T. P. Singh, Kusum and D. Gupta, Feedback queue model assumed service rate proportional to queue numbers, Aryabhatta Journal of Mathematics and Informatics 2(1) (2010), 103-110.
T. P. Singh and Arti Tyagi, Mathematical analysis of a general feedback queue tandem network, Presented and Published in the Proceeding 6th International Multi Conference on Intelligent System, Sustainable, New and Renewable Energy Technology and Nanotechnology, ISTK, 2012.
M. Mittal, T. P. Singh and D. Gupta, Threshold effect on a fuzzy queue model with batch arrival, Aryabhatta Journal of Mathematics and Informatics 7(1) (2015), 109-118.
S. K. Agrawal and B. K. Singh, A comprehensive study of various queue characteristics using tri-cum biserial queuing model, International Journal of Scientific Research in Mathematical and Statistical Sciences 5(2) (2018), 46-56.
T. P. Singh and Reeta Bhardwaj, On designing a stochastic queue model for passport system, Aryabhatta Journal of Mathematics and Informatics 11(1) (2019), 29-42.
V. Saini and D. Gupta, Priority-discipline queue model for passport office system, Turkish Online Journal of Qualitative Inquiry 12(7) (2021), 3652-3662.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Pushpa Publishing House, Prayagraj, India
This work is licensed under a Creative Commons Attribution 4.0 International License.
____________________________
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pushpa Publishing House for more info or permissions.
Journal Impact Factor: 
