Title: Queuing models with customers' impatience: a survey

Authors: Sapana Sharma; Rakesh Kumar; Bhavneet Singh Soodan; Pradeep Singh

Addresses: Chandigarh University, Gharuan – 140413, India ' Department of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir – 182320, India; Department of Mathematics and Statistics, Namibia University of Science and Technology, Windhoek, Namibia ' Chandigarh University, Gharuan – 140413, India ' Chandigarh University, Gharuan – 140413, India

Abstract: Queuing systems with customers' impatience are highly applicable in many real life situations, for instance, in grocery stores, banks, hospitals, barber shops, call centres, online shopping, computer-communication networks, etc. The aim of this paper is to give a review of recent results on queuing systems with customers' impatience. In this paper, we present a survey and develop a classification scheme of queuing models with customers' impatience that includes vacation, feedback, priority service and retention of reneging customers. First, we introduce various queuing models with customers' impatience in chronological order. Second, we classify various queuing models with customers' impatience. We also provide some tables to illustrate some special features of these systems.

Keywords: queuing models; customers' impatience; classification; research; survey.

DOI: 10.1504/IJMOR.2023.135546

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.4, pp.523 - 547

Received: 19 Jul 2022
Accepted: 29 Oct 2022
Published online: 18 Dec 2023 *

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