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The Multiple Connections Multi-Airport Ground Holding Problem: Models and Algorithms

Author

Listed:
  • Lisa Navazio

    (Department of Electronics and Informatics, University of Padova, via Gradenigo, 6/A-35131 Padova, Italy)

  • Giorgio Romanin-Jacur

    (Department of Electronics and Informatics, University of Padova, via Gradenigo, 6/A-35131 Padova, Italy)

Abstract

In recent years air traffic has dramatically increased without a corresponding development of airports. Therefore, airports' limited capacity causes air traffic congestion and consequent expensive delays. The only strategy that can be applied in the short term with low investments aims at the optimal management of present resources; its principal device is Ground Holding, which consists of delaying an aircraft take off whenever it is foreseen it will not land in time because of congestion. We consider a traffic situation with “multiple connections” or “banking,” i.e., the situation where some flights are assigned a set of “preceding” flights; no “successive” flight can start until all its preceding flights have landed. The problem consists of distributing delays to flights, so as to minimize the total delay cost, by respecting airport capacity, connections, and time constraints imposed by airlines. We construct an integer linear programming model and we solve it to optimality with CPLEX. Because the computation time is too high (hours) for real-world instances, we propose an alternative heuristic algorithm, which shows a very low computation time (seconds) and acceptable errors when tested on 30 realistic instances with strongly diversified data.

Suggested Citation

  • Lisa Navazio & Giorgio Romanin-Jacur, 1998. "The Multiple Connections Multi-Airport Ground Holding Problem: Models and Algorithms," Transportation Science, INFORMS, vol. 32(3), pages 268-276, August.
  • Handle: RePEc:inm:ortrsc:v:32:y:1998:i:3:p:268-276
    DOI: 10.1287/trsc.32.3.268
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    Cited by:

    1. Mukherjee, Avijit, 2004. "Dynamic Stochastic Optimization Models for Air Traffic Flow Management," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2vk8w6nc, Institute of Transportation Studies, UC Berkeley.
    2. Rossi, Fabrizio & Smriglio, Stefano, 2001. "A set packing model for the ground holding problem in congested networks," European Journal of Operational Research, Elsevier, vol. 131(2), pages 400-416, June.
    3. Benjamin Lev, 2005. "Book Reviews," Interfaces, INFORMS, vol. 35(1), pages 102-110, February.
    4. 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).
    5. 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.
    6. Sun, D. & Clinet, A. & Bayen, A.M., 2011. "A dual decomposition method for sector capacity constrained traffic flow optimization," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 880-902, July.

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