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An Airspace-Planning and Collaborative Decision-Making Model: Part II---Cost Model, Data Considerations, and Computations

Author

Listed:
  • Hanif D. Sherali

    (Grado Department of Industrial and Systems Engineering (0118), Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

  • Raymond W. Staats

    (Department of Operational Sciences, Air Force Institute of Technology, Wright Patterson Air Force Base, Ohio 45433)

  • Antonio A. Trani

    (Charles Edward Via, Jr. Department of Civil and Environmental Engineering (0105), Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

Abstract

In Part I of this paper, we presented a large-scale airspace-planning and collaborative decision-making (APCDM) model that is part of a Federal Aviation Administration (FAA)-sponsored effort to enhance the management of the National Airspace System (NAS). Given a set of flights that must be scheduled during some planning horizon, along with alternative surrogate trajectories for each flight, we developed a mixed-integer programming model to select a set of flight plans from among these alternatives, subject to flight safety, air-traffic control workload, and airline equity considerations. The present paper offers insights related to, and a detailed description of, implementing this APCDM model, including the development of a comprehensive cost model, a study for prescribing a set of appropriate parameter values for the overall model, and an investigation on incorporating a suitable set of valid inequalities in the model formulation. Computational results are presented based on several test cases derived from the Enhanced Traffic Management System (ETMS) data provided by the FAA. The results indicate that under plausible probabilistic trajectory error assumptions and with the incorporation of star subgraph convex hull-based valid inequalities, the model offers a viable tool that can be used by the FAA for both tactical and strategic applications.

Suggested Citation

  • Hanif D. Sherali & Raymond W. Staats & Antonio A. Trani, 2006. "An Airspace-Planning and Collaborative Decision-Making Model: Part II---Cost Model, Data Considerations, and Computations," Transportation Science, INFORMS, vol. 40(2), pages 147-164, May.
    • Handle: RePEc:inm:ortrsc:v:40:y:2006:i:2:p:147-164
    DOI: 10.1287/trsc.1050.0141
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    References listed on IDEAS

    as
    1. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    2. Hanif D. Sherali & Raymond W. Staats & Antonio A. Trani, 2003. "An Airspace Planning and Collaborative Decision-Making Model: Part I—Probabilistic Conflicts, Workload, and Equity Considerations," Transportation Science, INFORMS, vol. 37(4), pages 434-456, November.
    3. Kan Chang & Ken Howard & Rick Oiesen & Lara Shisler & Midori Tanino & Michael C. Wambsganss, 2001. "Enhancements to the FAA Ground-Delay Program Under Collaborative Decision Making," Interfaces, INFORMS, vol. 31(1), pages 57-76, February.
    4. Hanif D. Sherali & J. Cole Smith & Antonio A. Trani, 2002. "An Airspace Planning Model for Selecting Flight-plans Under Workload, Safety, and Equity Considerations," Transportation Science, INFORMS, vol. 36(4), pages 378-397, November.
    5. Hansen, Mark M. & Gillen, David & Djafarian-Tehrani, Reza, 2001. "Aviation infrastructure performance and airline cost: a statistical cost estimation approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(1), pages 1-23, March.
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    Cited by:

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    6. Şafak, Özge & Çavuş, Özlem & Selim Aktürk, M., 2018. "Multi-stage airline scheduling problem with stochastic passenger demand and non-cruise times," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 39-67.
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    8. Agustı´n, A. & Alonso-Ayuso, A. & Escudero, L.F. & Pizarro, C., 2012. "On air traffic flow management with rerouting. Part II: Stochastic case," European Journal of Operational Research, Elsevier, vol. 219(1), pages 167-177.
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    10. Hanif D. Sherali & Justin M. Hill & Michael V. McCrea & Antonio A. Trani, 2011. "Integrating Slot Exchange, Safety, Capacity, and Equity Mechanisms Within an Airspace Flow Program," Transportation Science, INFORMS, vol. 45(2), pages 271-284, May.
    11. Wei, P. & Cao, Y. & Sun, D., 2013. "Total unimodularity and decomposition method for large-scale air traffic cell transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 1-16.
    12. Stefano Starita & Arne K. Strauss & Xin Fei & Radosav Jovanović & Nikola Ivanov & Goran Pavlović & Frank Fichert, 2020. "Air Traffic Control Capacity Planning Under Demand and Capacity Provision Uncertainty," Transportation Science, INFORMS, vol. 54(4), pages 882-896, July.
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