Guodong Pang, Thesis Advisor/Co-Advisor Eunhye Song, Committee Member Steven James Landry, Program Head/Chair
Keywords:
Queueing Theory Game Theory Mean Field Games Admission Control Threshold Policy Stochastic Processes Simulation
Abstract:
We use a mean-field game approximation to study an M/G/∞ queueing system where the cost of service is strictly decreasing with the number of customers in service. The customers choose to get service or leave when coming to the system and observing its state. This is motivated by the fact that the number of customers does not affect the production cost needed. In this setup, we show that there exist multiple equilibria that have a threshold type. We study the convergence of this approximation to the discrete model through simulation for the M/M/∞ and M/G/∞ cases.
