B1006
Title: Modeling and simulation of first-come, first-served queueing system with impatient multiclass customers
Authors: Vinay Kumar - Indian Institute of Technology Madras (India) [presenting]
Neelesh Shankar Upadhye - Indian Institute of Technology Madras (India)
Abstract: The purpose is to investigate a queueing system that handles impatient customers from $c$(finite) different classes, each characterized by independent service and patience time distributions. The focus is on two specific queueing models: an $M/G/1 + M$ system and an $M/M/m + M$ system. The steady-state analysis for $M/M/m + M$ is derived, and a case where mean service time is the same across the classes is discussed, and steady-state performance measures for $M/M/m+M$ system are derived. Then, the numerical results of the simulated $M/M/m + M$ system are compared with the steady-state metrics, including the proportion of serviced customers in every class/category, expected waiting times for customers in every class/category, and system throughput in the queue obtained through analytical means. The numerical results reveal the efficacy of the queueing system in various real-world situations.
