Year: 2025
Type: article
Abstract: We study a single server finite capacity Electric Vehicle(EV) based queueing model that incorporates the impatience of a customer through geometric reneging mechanism, even while service is in progress. The model reflects how prolonged waiting can prompt customers to leave the system, with the likelihood of abandonment following a geometric pattern. By harnessing the power of recursive method, we derive steady-state equations and compute critical performance indicators such as the expected number of customers in the queue and system, average waiting time, blocking probability, service throughput, abandonment rate, distribution of busy periods, and the anticipated number of customers who leave the queue prematurely. To support our analytical results, we conduct extensive numerical analysis, illustrating outcomes through structured tables and graphical representations. Additionally, a cost-based sensitivity analysis is performed to understand how variations in arrival and service rates affect system performance. A practical application of this model is demonstrated in the context of electric vehicle (EV) charging stations, where understanding the effects of customer impatience can inform the design of more efficient energy service infrastructures.
Source: Journal of Dynamics and Games
DOI: 10.3934/jdg.2025044
Authors: Piyush Gupta, Neetu Gupta
Institution: J.C. Bose University of Science & Technology, YMCA
Language: English
Subfield: Management Information Systems
Domain: Social Sciences
Open Access status: diamond
Funder: Human Resource Development Group
OpenAlex ID: W4413665137