Title: Performance and cost evaluation of an adaptive queuing system with customer reneging and retention: steady-state and transient analysis

Authors: Sapana Sharma; Rakesh Kumar; Godlove Suila Kuaban; Bhavneet Singh Soodan; Pradeep Singh

Addresses: Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, 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 ' Computer Systems Modelling and Performance Evaluation Group, Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Baltycka 5, 44-100 Gliwicw, Poland ' Department of Mathematics, Chandigarh University, Gharuan-140413, Punjab, India ' Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, India

Abstract: Customers are often required to wait when they arrive at service facilities and see the servers are busy, or when they find other customers who arrived earlier waiting. The longer customers wait, the more dissatisfied they are likely to be and may leave the queue without receiving service (reneging). The objective of the service provider is to improve the quality of service in order to minimise the possibility of customer reneging since it increases cost and reduces revenue. Therefore, a trade-off between performance and cost should be considered when designing, planning and reducing the queues at service facilities. In this paper, we propose an adaptive queuing model with the retention of reneging customers. We derive the steady-state and transient-state performance parameters, and also discuss performance and cost evaluation. We demonstrate the utility of the model in the evaluation of waiting lines in the service industry using numerical examples.

Keywords: performance evaluation; cost evaluation; customer reneging; customer retention; adaptive queuing system.

DOI: 10.1504/IJSEM.2024.138336

International Journal of Services, Economics and Management, 2024 Vol.15 No.3, pp.254 - 272

Received: 07 Jul 2022
Accepted: 26 Dec 2022
Published online: 01 May 2024 *

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