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A Stochastic, Multiclass Airline Network Equilibrium Model

Author

Listed:
  • François Soumis

    (GERAD Polytechnic School, Montreal, Canada)

  • Anna Nagurney

    (University of Massachusetts, Amherst, Massachusetts)

Abstract

In this paper, we develop a stochastic, multiclass network equilibrium model of airline passenger transportation. The model explicitly incorporates the behavior of the passengers in regard to the decision whether or not to travel, and route selection, and formalizes the passenger's decision as an abstract network. The equilibrium between the realized demand for the routes of travel and the supply of the seats is shown to satisfy a system of nonlinear equations. A Gauss-Seidel algorithm is then proposed for the computation of the equilibrium and conditions for convergence are established. Finally, the algorithm is applied to compute the solution to the national Air Canada airline passenger network, and the output is compared to the actual observed flows.

Suggested Citation

  • François Soumis & Anna Nagurney, 1993. "A Stochastic, Multiclass Airline Network Equilibrium Model," Operations Research, INFORMS, vol. 41(4), pages 721-730, August.
    • Handle: RePEc:inm:oropre:v:41:y:1993:i:4:p:721-730
    DOI: 10.1287/opre.41.4.721
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    Cited by:

    1. Moore, II, James E. & Kim, Geunyoung & Cho, Seongdil & Hu, Hsi-hwa & Xu, Rong, 1997. "Evaluating System ATMIS Technologies Via Rapid Estimation Of Network Flows: Final Report," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5c70f3d9, Institute of Transportation Studies, UC Berkeley.
    2. Chatwin, Richard E., 2000. "Optimal dynamic pricing of perishable products with stochastic demand and a finite set of prices," European Journal of Operational Research, Elsevier, vol. 125(1), pages 149-174, August.
    3. Youyi Feng & Baichun Xiao, 2000. "Optimal Policies of Yield Management with Multiple Predetermined Prices," Operations Research, INFORMS, vol. 48(2), pages 332-343, April.
    4. Kalyan Talluri & Garrett van Ryzin, 1998. "An Analysis of Bid-Price Controls for Network Revenue Management," Management Science, INFORMS, vol. 44(11-Part-1), pages 1577-1593, November.
    5. Jonathan Dumas & François Soumis, 2008. "Passenger Flow Model for Airline Networks," Transportation Science, INFORMS, vol. 42(2), pages 197-207, May.

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