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Equity and Strength in Stochastic Integer Programming Models for the Dynamic Single Airport Ground-Holding Problem

Author

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  • Alexander S. Estes

    (Institute for Mathematics and Its Applications, University of Minnesota—Twin Cities, Minneapolis, Minnesota 55455;)

  • Michael O. Ball

    (Robert H. Smith School of Business and Institute for Systems Research, University of Maryland, College Park, Maryland 20742)

Abstract

We study stochastic integer programming models for assigning delays to flights that are destined for an airport whose capacity has been impacted by poor weather or some other exogenous factor. In the existing literature, empirical evidence seemed to suggest that a proposed integer programming model had a strong formulation, but no existing theoretical results explained the observation. We apply recent results concerning the polyhedra of stochastic network flow problems to explain the strength of the existing model, and we propose a model whose size scales better with the number of flights in the problem and that preserves the strength of the existing model. Computational results are provided that demonstrate the benefits of the proposed model. Finally, we define a type of equity property that is satisfied by both models.

Suggested Citation

  • Alexander S. Estes & Michael O. Ball, 2020. "Equity and Strength in Stochastic Integer Programming Models for the Dynamic Single Airport Ground-Holding Problem," Transportation Science, INFORMS, vol. 54(4), pages 944-955, July.
    • Handle: RePEc:inm:ortrsc:v:54:y:2020:i:4:p:944-955
    DOI: 10.1287/trsc.2020.0975
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    References listed on IDEAS

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    3. Guglielmo Lulli & Amedeo Odoni & Bruno F. Santos, 2020. "Introduction to the Special Section: Air Transportation Systems Planning and Operations Under Uncertainty," Transportation Science, INFORMS, vol. 54(4), pages 855-857, July.

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