Title: Analysis of optional jockeying in queueing systems with theoretical insights and practical applications

Authors: P. Vijaya Laxmi; G. Anjalidevi

Addresses: Department of Applied Mathematics, Andhra University, Andhra Pradesh, India ' Department of Applied Mathematics, Andhra University, Andhra Pradesh, India

Abstract: In this paper, we consider two Markovian queues in parallel with optional jockeying model, wherein the customers can join the queues with some probabilities and after joining the queue, can switch from one queue to another queue for faster services or may stay back in the same queue. The jockeying is a natural customer strategy and assumes a key role in areas such as grocery stores, amusement parks, computer networks, and retail outlets, where multiple checkout lines or service counters are available. We assume that the arrivals are Poisson, each of the exponential servers has his own queue. The model's steady state solution is discovered using the matrix geometric approach. Further, multiple system performance measures are obtained and a cost optimisation problem is taken into consideration. Graphs and tables are used to display the numerical outcomes.

Keywords: jockeying; optional jockeying; matrix geometric method; queues.

DOI: 10.1504/IJMMNO.2024.143846

International Journal of Mathematical Modelling and Numerical Optimisation, 2024 Vol.14 No.3/4, pp.192 - 213

Received: 09 Aug 2024
Accepted: 28 Aug 2024
Published online: 10 Jan 2025 *

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