Affiliation:
1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
Abstract
This paper explores the behaviour of a Bulk Arrival Retrial Queue Model (BARQ) with two phases of service under the Bernoulli Vacation schedule and Breakdown (BVSB). Each batch of customers arriving the system finds if the server is available, instantly utilizes the service. If the server is busy, under breakdown, or taking a vacation, then the customers enter into the orbit. After completing both service stages, the server will either take a vacation with probability p or wait until the next customer arrives with probability 1 - p or q. Our approach considers the nature of the customer as balking and also takes into account the breakdown of server, which may occur instantaneously during any stage of service. Significant performance measures have been derived and presented. A numerical study of the proposed model is carried out using MATLAB and results were reported.
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
Reference21 articles.
1. An repeated service queue with N-policy and setup time subject to server’s breakdown and delayed repair;Kalita;Communications in Statistics-Theory and Methods,2020
2. Search of arrivals of an M/G/1 retrial queueing system with delayed repair and optionalre-service using modified bernoulli vacation;Revathi;J Comput Math,2022
3. Performance analysis of a single server retrial queue withworking vacation;Arivudainambi;Opsearch,2014
4. Analysis of a single server batch arrival unreliablequeue with balking and general retrial time;Zirem;Qual Technol Quant Manage,2019
5. Queueing with renzeging;Haight;Metrika,1959