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From Ground Holding to Free Flight: An Exact Approach

Author

Listed:
  • Giovanni Andreatta

    (Department of Pure and Applied Mathematics, University of Padova, 35131 Padova, Italy)

  • Lorenzo Brunetta

    (Department of Electronics and Computer Science, Politecnico of Milano, 20133 Milano, Italy)

  • Guglielmo Guastalla

    (Centre Experimental Eurocontrol, Centre du Bois des Bordes, 91122 Bretigny sur Orge Cedex, France)

Abstract

Congestion in air traffic networks is a serious problem and has received a lot of attention both from the aviation authorities (Federal Aviation Administration, Eurocontrol, etc.) and from the scientific research community. In past years, one way of reducing the amount of congestion has been the adoption of ground holding policies, i.e., a ground hold is imposed to selected aircraft, prior to their departure, so that congestion may be smoothed away. Many airlines in the United States have been complaining about these policies and are pushing toward the new concept of “free flight,” where the airlines are almost “free” to choose for each of their flights, when to depart, which route to follow, at what speed, etc., as long as the arrival at the destination airport matches a given time, decided by a central authority (the Federal Aviation Administration in the United States). In this new perspective, to avoid congestion, or at least to reduce it, the central authority has to schedule the arrival times of all flights, with possible delays for some of them. In this paper, we describe an exact algorithm, based on the integration of a heuristic algorithm with an integer linear programming model. This approach provides exact solutions in a much shorter computation time than previous algorithms proposed in the literature. We will report on our computational experiences using large instances based on actual Official Airline Guide data for the United States air traffic network.

Suggested Citation

  • Giovanni Andreatta & Lorenzo Brunetta & Guglielmo Guastalla, 2000. "From Ground Holding to Free Flight: An Exact Approach," Transportation Science, INFORMS, vol. 34(4), pages 394-401, November.
  • Handle: RePEc:inm:ortrsc:v:34:y:2000:i:4:p:394-401
    DOI: 10.1287/trsc.34.4.394.12318
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    References listed on IDEAS

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    1. Giovanni Andreatta & Lorenzo Brunetta, 1998. "Multiairport Ground Holding Problem: A Computational Evaluation of Exact Algorithms," Operations Research, INFORMS, vol. 46(1), pages 57-64, February.
    2. Dimitris Bertsimas & Sarah Stock Patterson, 1998. "The Air Traffic Flow Management Problem with Enroute Capacities," Operations Research, INFORMS, vol. 46(3), pages 406-422, June.
    3. Peter B. Vranas & Dimitris J. Bertsimas & Amedeo R. Odoni, 1994. "The Multi-Airport Ground-Holding Problem in Air Traffic Control," Operations Research, INFORMS, vol. 42(2), pages 249-261, April.
    4. Lorenzo Brunetta & Guglielmo Guastalla & Lisa Navazio, 1998. "Solving the multi-airport Ground Holding Problem," Annals of Operations Research, Springer, vol. 81(0), pages 271-288, June.
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    Cited by:

    1. Soomer, M.J. & Franx, G.J., 2008. "Scheduling aircraft landings using airlines' preferences," European Journal of Operational Research, Elsevier, vol. 190(1), pages 277-291, October.
    2. Avijit Mukherjee & Mark Hansen, 2007. "A Dynamic Stochastic Model for the Single Airport Ground Holding Problem," Transportation Science, INFORMS, vol. 41(4), pages 444-456, November.
    3. Cynthia Barnhart & Dimitris Bertsimas & Constantine Caramanis & Douglas Fearing, 2012. "Equitable and Efficient Coordination in Traffic Flow Management," Transportation Science, INFORMS, vol. 46(2), pages 262-280, May.
    4. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    5. Jay M. Rosenberger & Ellis L. Johnson & George L. Nemhauser, 2003. "Rerouting Aircraft for Airline Recovery," Transportation Science, INFORMS, vol. 37(4), pages 408-421, November.
    6. Balázs Kotnyek & Octavio Richetta, 2006. "Equitable Models for the Stochastic Ground-Holding Problem Under Collaborative Decision Making," Transportation Science, INFORMS, vol. 40(2), pages 133-146, May.

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