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A note on optimal pricing for finite capacity queueing systems with multiple customer classes

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  • Serhan Ziya
  • Hayriye Ayhan
  • Robert D. Foley

Abstract

This article investigates optimal static prices for a finite capacity queueing system serving customers from different classes. We first show that the original multi‐class formulation in which the price for each class is a decision variable can be reformulated as a single dimensional problem with the total load as the decision variable. Using this alternative formulation, we prove an upper bound for the optimal arrival rates for a fairly large class of queueing systems and provide sufficient conditions that ensure the existence of a unique optimal arrival rate vector. We show that these conditions hold for M/M/1/m and M/G/s/s systems and prove structural results on the relationships between the optimal arrival rates and system capacity. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Serhan Ziya & Hayriye Ayhan & Robert D. Foley, 2008. "A note on optimal pricing for finite capacity queueing systems with multiple customer classes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(5), pages 412-418, August.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:5:p:412-418
    DOI: 10.1002/nav.20295
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    References listed on IDEAS

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    1. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    2. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    3. E. Carrizosa & E. Conde & M. Muñoz-Márquez, 1998. "Admission Policies in Loss Queueing Models with Heterogeneous Arrivals," Management Science, INFORMS, vol. 44(3), pages 311-320, March.
    4. 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.
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    Cited by:

    1. Felipe Caro & David Simchi-Levi, 2012. "Optimal static pricing for a tree network," Annals of Operations Research, Springer, vol. 196(1), pages 137-152, July.

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