Title: Analysis on multi-service interruption in the queuing system

Authors: S. Maragathasundari; P. Manikandan

Addresses: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Thandalam, Chennai-602105, Tamilnadu, India ' Department of Electronics and Communication Engineering, Kalasalingam Academy of Research and Education (Deemed to be University), Anand Nagar, Krishnankoil-626126, Tamilndau, India

Abstract: This article is about a queuing system in which the server is interrupted twice and then the repair process is carried out immediately and without delay. After the service ends, if there is no client in the system, the server can choose to take a Bernoulli vacation. In addition, consequent occurrence of interruption of the system is an inevitable feature in our daily life activities. Also, during the repair process of second type interruption, process of Reneging happens. The queuing issue is drawn closer through supplementary variable technique of queuing hypothesis and the comparing framework likelihood producing capacity of the line length and the various queue measures are determined. In addition, the queuing model is well explained by means of real-life application and processed by the way of numerical structure and graphic representation. This model means making a supervisor aware of the structural difficulties of a client-server-based framework and recognising the basic rules of investigation.

Keywords: web server; reneging; service interruption; repair process.

DOI: 10.1504/IJOR.2024.138925

International Journal of Operational Research, 2024 Vol.50 No.2, pp.188 - 208

Received: 28 Jul 2020
Accepted: 23 Aug 2021
Published online: 04 Jun 2024 *

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