Dynamic pricing to control loss systems with quality of service targets

  • Authors:
  • Robert c. Hampshire;William a. Massey;Qiong Wang

  • Affiliations:
  • Carnegie mellon university, pittsburgh, pa e-mail: hamp@andrew.cmu.edu;Princeton university, princeton, nj e-mail: wmassey@princeton.edu;Bell laboratories, murray hill, nj e-mail: qwang@research.bell-labs.com

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2009

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Abstract

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.