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A Theoretical Comparison of Feasibility Cuts for the Integrated Aircraft-Routing and Crew-Pairing Problem

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  • Anne Mercier

    (École Polytechnique de Montréal and GERAD, Montréal, Québec, Canada H3C 3A7)

Abstract

The integrated aircraft-routing and crew-pairing problem consists in determining a minimum-cost set of aircraft routes and crew pairings such that each flight leg is covered by one aircraft and one crew, and some side constraints are satisfied. Linking constraints impose minimum connection times for crews that depend on aircraft connections. The main solution approach for this problem consists in solving a constrained crew-pairing problem iteratively, adding feasibility cuts until a solution is found where the connection set used by the crew pairings is feasible for the aircraft-routing problem. The feasibility cuts can be generated by a Benders decomposition approach in which aircraft routing is handled by the subproblem, or they can be selected from a predefined family. We perform a theoretical comparison of the different types of feasibility cuts. We also propose a simple procedure to strengthen these cuts. Computational experiments performed on test instances provided by two major airlines are presented to support the theoretical results.

Suggested Citation

  • Anne Mercier, 2008. "A Theoretical Comparison of Feasibility Cuts for the Integrated Aircraft-Routing and Crew-Pairing Problem," Transportation Science, INFORMS, vol. 42(1), pages 87-104, February.
    • Handle: RePEc:inm:ortrsc:v:42:y:2008:i:1:p:87-104
    DOI: 10.1287/trsc.1070.0197
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    References listed on IDEAS

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    1. Jean-François Cordeau & Federico Pasin & Marius Solomon, 2006. "An integrated model for logistics network design," Annals of Operations Research, Springer, vol. 144(1), pages 59-82, April.
    2. Jean-François Cordeau & Goran Stojković & François Soumis & Jacques Desrosiers, 2001. "Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling," Transportation Science, INFORMS, vol. 35(4), pages 375-388, November.
    3. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    4. Santoso, Tjendera & Ahmed, Shabbir & Goetschalckx, Marc & Shapiro, Alexander, 2005. "A stochastic programming approach for supply chain network design under uncertainty," European Journal of Operational Research, Elsevier, vol. 167(1), pages 96-115, November.
    5. Amy Mainville Cohn & Cynthia Barnhart, 2003. "Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions," Operations Research, INFORMS, vol. 51(3), pages 387-396, June.
    6. Diego Klabjan & Ellis L. Johnson & George L. Nemhauser & Eric Gelman & Srini Ramaswamy, 2002. "Airline Crew Scheduling with Time Windows and Plane-Count Constraints," Transportation Science, INFORMS, vol. 36(3), pages 337-348, August.
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    Cited by:

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    2. Muter, İbrahim & Birbil, Ş. İlker & Bülbül, Kerem, 2018. "Benders decomposition and column-and-row generation for solving large-scale linear programs with column-dependent-rows," European Journal of Operational Research, Elsevier, vol. 264(1), pages 29-45.
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    4. Mohamed Haouari & Shengzhi Shao & Hanif D. Sherali, 2013. "A Lifted Compact Formulation for the Daily Aircraft Maintenance Routing Problem," Transportation Science, INFORMS, vol. 47(4), pages 508-525, November.
    5. Wen, Xin & Chung, Sai-Ho & Ji, Ping & Sheu, Jiuh-Biing, 2022. "Individual scheduling approach for multi-class airline cabin crew with manpower requirement heterogeneity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
    6. Salazar-González, Juan-José, 2014. "Approaches to solve the fleet-assignment, aircraft-routing, crew-pairing and crew-rostering problems of a regional carrier," Omega, Elsevier, vol. 43(C), pages 71-82.
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    8. Oliver Faust & Jochen Gönsch & Robert Klein, 2017. "Demand-Oriented Integrated Scheduling for Point-to-Point Airlines," Transportation Science, INFORMS, vol. 51(1), pages 196-213, February.

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