Title: Modelling M^X/G/1 queuing system with optional second service under disaster and repairs with multiple adapted vacation policy

Authors: S. Jeyakumar; B. Logapriya

Addresses: Department of Mathematics, Government Arts College, Coimbatore – 641018, India ' Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore – 641008, India

Abstract: In this article, the queuing system with disaster is considered in which every customer will receive the essential service and demanded customer alone will receive second optional service. When the system is affected by any of the disaster, the server initiates the repair period and operates under multiple adapted vacation (MAV) policy causing all waiting and served customer to leave the system. Using supplementary variable technique, we procure the queue size distribution with few measures of performance. Expected queue length, expected waiting times and certain special cases are discussed. In addition, the effect of parameters is studied with a numerical illustration.

Keywords: supplementary variable technique; second optional service; disaster; multiple adapted vacation policy.

DOI: 10.1504/IJOR.2025.144677

International Journal of Operational Research, 2025 Vol.52 No.3, pp.382 - 400

Received: 05 May 2022
Accepted: 06 Aug 2022
Published online: 27 Feb 2025 *

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