Transient analysis of two heterogeneous servers queueing system with differentiated vacations subject to system disaster, server repair

Venugopal Karthick (), Vaidhiyanathan Suvitha () and Ramupillai Sudhesh ()
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Venugopal Karthick: College of Engineering and Technology
Vaidhiyanathan Suvitha: College of Engineering and Technology
Ramupillai Sudhesh: UCE: BIT Campus, Anna University

Sankhya B: The Indian Journal of Statistics, 2024, vol. 86, issue 2, No 16, 776 pages

Abstract: Abstract This research paper examines the dynamic behavior of a heterogeneous two-server queuing model that incorporates differentiated vacation periods. Additionally, the model accounts for the possibility of a disaster occurring during busy periods and vacations, with immediate initiation of the repair process. The motivation for this study stems from the two types of power-saving mechanisms found in IEEE 802.16E. The paper presents explicit expressions, obtained using generating functions, for the time-dependent probabilities of system size, expressed in terms of modified Bessel functions. To further validate the theoretical findings, numerical illustrations have been included.

Keywords: Heterogeneous servers; Differentiated vacation; System disaster; Repairable server; Transient probabilities (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13571-024-00339-7

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