Pricing computer services: queueing effects
Communications of the ACM
Optimal incentive-compatible priority pricing for the M/M/1 queue
Operations Research
User delay costs and internal pricing for a service facility
Management Science
The physics of the Mt/G/ ∞ symbol Queue
Operations Research
Internet economics
Optimal pricing for integrated services networks
Internet economics
Optimal Pricing and Admission Control in a Queueing System with Periodically Varying Parameters
Queueing Systems: Theory and Applications
Optimality Of Randomized Trunk Reservation For A Problem With Multiple Constraints
Probability in the Engineering and Informational Sciences
Pricing congestible network resources
IEEE Journal on Selected Areas in Communications
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Numerous examples of real-time services arise in the service industry that can be modeled as loss systems. These include agent staffing for call centers, provisioning bandwidth for private line services, making rooms available for hotel reservations, and congestion pricing for parking spaces. Given that arriving customers make their decision to join the system based on the current service price, the manager can use price as a mechanism to control the utilization of the system. A major objective for the manager is then to find a pricing policy that maximizes total revenue while meeting the quality of service targets desired by the customers. For systems with growing demand and service capacity, we provide a dynamic pricing algorithm. A key feature of our solution is congestion pricing. We use demand forecasts to anticipate future service congestion and set the present price accordingly.