Equilibrium Queueing Strategies of Three Types of Customers in A Single Queue

Abstract

Different types of customers have different revenue and waiting costs per unit time. Although in queuing economics, research on customer equilibrium strategies has achieved fruitful results, most of these are based on a single customer type. Research on multiple types of customers is rare. We consider a single queue with three types of customers. We analyse system stationary distribution and obtain the equilibrium balking strategy of each type customers. In addition, the social benefit is discussed under the reward-cost structure in the full observable.