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On the Airline Schedule Perturbation Problem Caused by the Ground Delay Program

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  • Songjun Luo

    (ZS Associates, 1800 Sherman Avenue, Evanston, Illinois 60201)

  • Gang Yu

    (Department of Management Science and Information Systems and Center for Management of Operations and Logistics, Graduate School of Business, The University of Texas at Austin, Austin, Texas 78712)

Abstract

The ground delay program is one of several programs that the Federal Aviation Administration is currently administering for efficient and equitable use of scarce airspace and airport capacity. In this paper, we study airline schedule perturbation problem caused by the ground delay program with the goal of improving airline dependability statistics defined by Department of Transportation as percentage of flights delayed more than 15 minutes. The problem is modeled as an integer program. To solve the model, we have derived valid inequalities for the integer programming formulation for strengthening the LP relaxation bound. The number of integer variables was reduced dramatically based on analysis of the model and its impact on the problem solubility was shown to be of significant importance. A heuristic procedure based on solving a restricted version of the model has been designed for finding good feasible solutions. Computational results indicate the effectiveness of the model reduction and the valid inequalities. Realistic problems have been solved to optimality within seconds on microcomputers. Improvement on airline dependability statistics has been shown to be substantial.

Suggested Citation

  • Songjun Luo & Gang Yu, 1997. "On the Airline Schedule Perturbation Problem Caused by the Ground Delay Program," Transportation Science, INFORMS, vol. 31(4), pages 298-311, November.
    • Handle: RePEc:inm:ortrsc:v:31:y:1997:i:4:p:298-311
    DOI: 10.1287/trsc.31.4.298
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    Citations

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    Cited by:

    1. Stojkovic, Goran & Soumis, François & Desrosiers, Jacques & Solomon, Marius M., 2002. "An optimization model for a real-time flight scheduling problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 779-788, November.
    2. Hai Jiang & Cynthia Barnhart, 2009. "Dynamic Airline Scheduling," Transportation Science, INFORMS, vol. 43(3), pages 336-354, August.
    3. Wu, Cheng-Lung & Caves, Robert E, 2000. "Aircraft operational costs and turnaround efficiency at airports," Journal of Air Transport Management, Elsevier, vol. 6(4), pages 201-208.
    4. Brunner, Jens O., 2014. "Rescheduling of flights during ground delay programs with consideration of passenger and crew connections," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 236-252.
    5. Jian Yang & Xiangtong Qi & Gang Yu, 2005. "Disruption management in production planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 420-442, August.
    6. Cheng-Lung Wu, 2006. "Improving Airline Network Robustness and Operational Reliability by Sequential Optimisation Algorithms," Networks and Spatial Economics, Springer, vol. 6(3), pages 235-251, September.
    7. Sinclair, Karine & Cordeau, Jean-François & Laporte, Gilbert, 2014. "Improvements to a large neighborhood search heuristic for an integrated aircraft and passenger recovery problem," European Journal of Operational Research, Elsevier, vol. 233(1), pages 234-245.
    8. Bard, Jonathan F. & Mohan, Dinesh Natarajan, 2008. "Reallocating arrival slots during a ground delay program," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 113-134, February.
    9. Hanif D. Sherali & Ebru K. Bish & Xiaomei Zhu, 2005. "Polyhedral Analysis and Algorithms for a Demand-Driven Refleeting Model for Aircraft Assignment," Transportation Science, INFORMS, vol. 39(3), pages 349-366, August.
    10. Sherali, Hanif D. & Bish, Ebru K. & Zhu, Xiaomei, 2006. "Airline fleet assignment concepts, models, and algorithms," European Journal of Operational Research, Elsevier, vol. 172(1), pages 1-30, July.
    11. Shan Lan & John-Paul Clarke & Cynthia Barnhart, 2006. "Planning for Robust Airline Operations: Optimizing Aircraft Routings and Flight Departure Times to Minimize Passenger Disruptions," Transportation Science, INFORMS, vol. 40(1), pages 15-28, February.
    12. Michael F. Argüello & Jonathan F. Bard & Gang Yu, 1997. "A Grasp for Aircraft Routing in Response to Groundings and Delays," Journal of Combinatorial Optimization, Springer, vol. 1(3), pages 211-228, October.
    13. Woo, Young-Bin & Moon, Ilkyeong, 2021. "Scenario-based stochastic programming for an airline-driven flight rescheduling problem under ground delay programs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    14. Obrad Babić & Milica Kalić & Goran Pavković & Slavica Dožić & Mirjana Čangalović, 2010. "Heuristic approach to the airline schedule disturbances problem," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(3), pages 257-280, February.
    15. 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.
    16. Wu, Cheng-Lung & Caves, Robert E., 2002. "Towards the optimisation of the schedule reliability of aircraft rotations," Journal of Air Transport Management, Elsevier, vol. 8(6), pages 419-426.

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