An Optimal Pricing Strategy in An M/M/1 Queueing System Based on Customer`s Sojourn Time-Dependent Reward Level Lee, Doo Ho;
This work studies the equilibrium behavior of customers and optimal pricing strategies of the sever in a continuous-time M/M/1 queueing system. In this work, we consider two pricing models. The first one is called the ex-ante payment scheme where the server charges a flat price for all services, and the second one is called the ex-post payment scheme where the server charges a price that is proportional to the time a customer spends in the system. In each pricing model, the departing customer receives the reward that is inversely proportional to his/her sojourn time. The server should make the optimal pricing decisions in order to maximize its expected profit per unit time in each payment scheme. This work also investigates customer`s equilibrium joining or balking behaviors under server`s optimal pricing strategies. Numerical experiments are conducted to help the server best select one between two pricing models.
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