2022/11/08 by Young Myoung Ko, Jin Xu, Ko, Young Myoung +1
Business, Management and Accounting · Decision Sciences · #Advanced Queuing Theory Analysis #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR) #Simulation Techniques and Applications
paper · pdf · doi:10.48550/arxiv.2211.03962
openalex publication_date 2022/11/08 · openalex created_date 2022/11/14 · openalex updated_date 2026/07/28
Motivated by the ongoing COVID-19 pandemic, this paper investigates customers' infection risk by evaluating the overlapping time of a virtual customer with others in queueing systems. Most of the current methodologies focus on characterizing the risk in stationary systems, which may not apply to the more practical time-varying systems. As such, we propose an approximation framework that relies on the fluid limit to compute the expected overlapping time in time-varying queueing systems. Simulation experiments verify the accuracy of our approach.