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Optimal static pricing for a service facility with holding costs

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  • Maoui, Idriss
  • Ayhan, Hayriye
  • Foley, Robert D.

Abstract

We study a service facility modelled as a single-server queueing system with Poisson arrivals and limited or unlimited buffer size. In systems with unlimited buffer size, the service times have general distributions, whereas in finite buffered systems service times are exponentially distributed. Arriving customers enter if there is room in the facility and if they are willing to pay the posted price. The same price is charged to all customers at all times (static pricing). The service provider is charged a holding cost proportional to the time that the customers spend in the system. We demonstrate that there is a unique optimal price that maximizes the long-run average profit per unit time. We also investigate how optimal prices vary as system parameters change. Finally, we consider buffer size as an additional decision variable and show that there is an optimal buffer size level that maximizes profit.

Suggested Citation

  • Maoui, Idriss & Ayhan, Hayriye & Foley, Robert D., 2009. "Optimal static pricing for a service facility with holding costs," European Journal of Operational Research, Elsevier, vol. 197(3), pages 912-923, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:3:p:912-923
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    1. Janakiram Subramanian & Shaler Stidham & Conrad J. Lautenbacher, 1999. "Airline Yield Management with Overbooking, Cancellations, and No-Shows," Transportation Science, INFORMS, vol. 33(2), pages 147-167, May.
    2. Larsen, Christian, 1998. "Investigating sensitivity and the impact of information on pricing decisions in an M/M/1/ [infinity] queueing model," International Journal of Production Economics, Elsevier, vol. 56(1), pages 365-377, September.
    3. Hassin, Refael, 1986. "Consumer Information in Markets with Random Product Quality: The Case of Queues and Balking," Econometrica, Econometric Society, vol. 54(5), pages 1185-1195, September.
    4. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    5. Serhan Ziya & Hayriye Ayhan & Robert D. Foley, 2004. "Relationships Among Three Assumptions in Revenue Management," Operations Research, INFORMS, vol. 52(5), pages 804-809, October.
    6. Knudsen, Niels Chr, 1972. "Individual and Social Optimization in a Multiserver Queue with a General Cost-Benefit Structure," Econometrica, Econometric Society, vol. 40(3), pages 515-528, May.
    7. Conrad J. Lautenbacher & Shaler Stidham, 1999. "The Underlying Markov Decision Process in the Single-Leg Airline Yield-Management Problem," Transportation Science, INFORMS, vol. 33(2), pages 136-146, May.
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    Cited by:

    1. Xinchang Wang & Sigrún Andradóttir & Hayriye Ayhan, 2019. "Optimal pricing for tandem queues with finite buffers," Queueing Systems: Theory and Applications, Springer, vol. 92(3), pages 323-396, August.

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