Incentive-Compatible Pricing for a Service Facility with Joint Production and Congestion Externalities

This paper considers the pricing problem of a service facility when services are jointly produced by the customers and the facility. Building on the work of Mendelson (1985), we model the facility as a GI/GI/1 queue with customer-chosen service rates and linear delay costs. We show that the service rates chosen by the customers, based on their self-interest, are always suboptimal for the facility due to congestion externalities. We derive optimal incentive-compatible pricing schemes that can achieve optimal arrival rates and induce customers to choose optimal service rates. For the case of systemwide net-value maximization, we show that the optimal incentive-compatible pricing scheme consists of a variable fee that is proportional to the actual service time and a fixed rebate that is equal to a customer's expected delay cost in the queue. For the case of profit maximization of the facility, we show that the optimal pricing scheme again consists of a fixed fee and a variable fee. One insight from our analysis is that it may be appropriate for a service facility to reimburse each customer for his actual delay cost in the queue.

• 저널Management Science · 44(12-part-1) · 1623–1636
• 토픽Advanced Queuing Theory Analysis · Management Information Systems
• DOI10.1287/mnsc.44.12.1623
• 저자Albert Y. Ha