IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v42y2008i1p87-104.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.1070.0197
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.1070.0197?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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. 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.
    5. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Gendreau, Michel & Nossack, Jenny & Pesch, Erwin, 2015. "Mathematical formulations for a 1-full-truckload pickup-and-delivery problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1008-1016.
    4. Shengzhi Shao & Hanif D. Sherali & Mohamed Haouari, 2017. "A Novel Model and Decomposition Approach for the Integrated Airline Fleet Assignment, Aircraft Routing, and Crew Pairing Problem," Transportation Science, INFORMS, vol. 51(1), pages 233-249, February.
    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. 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.
    7. 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.
    8. Valentina Cacchiani & Juan-José Salazar-González, 2017. "Optimal Solutions to a Real-World Integrated Airline Scheduling Problem," Transportation Science, INFORMS, vol. 51(1), pages 250-268, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hanif D. Sherali & Ki-Hwan Bae & Mohamed Haouari, 2013. "An Integrated Approach for Airline Flight Selection and Timing, Fleet Assignment, and Aircraft Routing," Transportation Science, INFORMS, vol. 47(4), pages 455-476, November.
    2. Valentina Cacchiani & Juan-José Salazar-González, 2017. "Optimal Solutions to a Real-World Integrated Airline Scheduling Problem," Transportation Science, INFORMS, vol. 51(1), pages 250-268, February.
    3. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    4. 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.
    5. Zhe Liang & Wanpracha Art Chaovalitwongse, 2013. "A Network-Based Model for the Integrated Weekly Aircraft Maintenance Routing and Fleet Assignment Problem," Transportation Science, INFORMS, vol. 47(4), pages 493-507, November.
    6. Ragheb Rahmaniani & Shabbir Ahmed & Teodor Gabriel Crainic & Michel Gendreau & Walter Rei, 2020. "The Benders Dual Decomposition Method," Operations Research, INFORMS, vol. 68(3), pages 878-895, May.
    7. Maher, Stephen J., 2021. "Implementing the branch-and-cut approach for a general purpose Benders’ decomposition framework," European Journal of Operational Research, Elsevier, vol. 290(2), pages 479-498.
    8. Camilo Ortiz-Astorquiza & Ivan Contreras & Gilbert Laporte, 2019. "An Exact Algorithm for Multilevel Uncapacitated Facility Location," Transportation Science, INFORMS, vol. 53(4), pages 1085-1106, July.
    9. Sarac, Abdulkadir & Batta, Rajan & Rump, Christopher M., 2006. "A branch-and-price approach for operational aircraft maintenance routing," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1850-1869, December.
    10. Sebastian Ruther & Natashia Boland & Faramroze G. Engineer & Ian Evans, 2017. "Integrated Aircraft Routing, Crew Pairing, and Tail Assignment: Branch-and-Price with Many Pricing Problems," Transportation Science, INFORMS, vol. 51(1), pages 177-195, February.
    11. Atoosa Kasirzadeh & Mohammed Saddoune & François Soumis, 2017. "Airline crew scheduling: models, algorithms, and data sets," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 111-137, June.
    12. Rivi Sandhu & Diego Klabjan, 2007. "Integrated Airline Fleeting and Crew-Pairing Decisions," Operations Research, INFORMS, vol. 55(3), pages 439-456, June.
    13. M. Jenabi & S. Fatemi Ghomi & S. Torabi & S. Hosseinian, 2015. "Acceleration strategies of Benders decomposition for the security constraints power system expansion planning," Annals of Operations Research, Springer, vol. 235(1), pages 337-369, December.
    14. Mohamed Haouari & Farah Zeghal Mansour & Hanif D. Sherali, 2019. "A New Compact Formulation for the Daily Crew Pairing Problem," Transportation Science, INFORMS, vol. 53(3), pages 811-828, May.
    15. Rodríguez, Jesús A. & Anjos, Miguel F. & Côté, Pascal & Desaulniers, Guy, 2021. "Accelerating Benders decomposition for short-term hydropower maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 289(1), pages 240-253.
    16. Stephen J. Maher, 2021. "Enhancing large neighbourhood search heuristics for Benders’ decomposition," Journal of Heuristics, Springer, vol. 27(4), pages 615-648, August.
    17. Başdere, Mehmet & Bilge, Ümit, 2014. "Operational aircraft maintenance routing problem with remaining time consideration," European Journal of Operational Research, Elsevier, vol. 235(1), pages 315-328.
    18. Zeighami, Vahid & Saddoune, Mohammed & Soumis, François, 2020. "Alternating Lagrangian decomposition for integrated airline crew scheduling problem," European Journal of Operational Research, Elsevier, vol. 287(1), pages 211-224.
    19. Mohammed Saddoune & Guy Desaulniers & Issmail Elhallaoui & François Soumis, 2012. "Integrated Airline Crew Pairing and Crew Assignment by Dynamic Constraint Aggregation," Transportation Science, INFORMS, vol. 46(1), pages 39-55, February.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:42:y:2008:i:1:p:87-104. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.