IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v40y2006i4p306-318.html
   My bibliography  Save this article

Weekly airline fleet assignment with homogeneity

Author

Listed:
  • Bélanger, Nicolas
  • Desaulniers, Guy
  • Soumis, François
  • Desrosiers, Jacques
  • Lavigne, June

Abstract

Given the flight schedule of an airline, the fleet assignment problem consists of determining the aircraft type to assign to each flight leg in order to maximize the total expected profits while satisfying aircraft routing and availability constraints. The profit for a leg is a function of the leg's stochastic passenger demand, the capacity of the aircraft assigned to the leg, and the aircraft operational costs. This paper considers the weekly fleet assignment problem in the case where homogeneity of aircraft type is sought over legs sharing the same flight number. Homogeneity allows, among other things, easier ground service planning. An exact mixed-integer linear programming model, as well as a heuristic solution approach based on mathematical programming, are presented. Computational results obtained on Air Canada instances involving up to 4400 flight legs are reported. The system produces realistic solutions arising from a trade-off between profits and homogeneity, and solves large-scale instances in short times with very small optimality gaps.

Suggested Citation

  • Bélanger, Nicolas & Desaulniers, Guy & Soumis, François & Desrosiers, Jacques & Lavigne, June, 2006. "Weekly airline fleet assignment with homogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 40(4), pages 306-318, May.
  • Handle: RePEc:eee:transb:v:40:y:2006:i:4:p:306-318
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191-2615(05)00056-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Brian Rexing & Cynthia Barnhart & Tim Kniker & Ahmad Jarrah & Nirup Krishnamurthy, 2000. "Airline Fleet Assignment with Time Windows," Transportation Science, INFORMS, vol. 34(1), pages 1-20, February.
    2. Jeph Abara, 1989. "Applying Integer Linear Programming to the Fleet Assignment Problem," Interfaces, INFORMS, vol. 19(4), pages 20-28, August.
    3. Cynthia Barnhart & Timothy S. Kniker & Manoj Lohatepanont, 2002. "Itinerary-Based Airline Fleet Assignment," Transportation Science, INFORMS, vol. 36(2), pages 199-217, May.
    4. L. W. Clarke & C. A. Hane & E. L. Johnson & G. L. Nemhauser, 1996. "Maintenance and Crew Considerations in Fleet Assignment," Transportation Science, INFORMS, vol. 30(3), pages 249-260, August.
    5. Guy Desaulniers & Jacques Desrosiers & Yvan Dumas & Marius M. Solomon & François Soumis, 1997. "Daily Aircraft Routing and Scheduling," Management Science, INFORMS, vol. 43(6), pages 841-855, June.
    6. Radhika Subramanian & Richard P. Scheff & John D. Quillinan & D. Steve Wiper & Roy E. Marsten, 1994. "Coldstart: Fleet Assignment at Delta Air Lines," Interfaces, INFORMS, vol. 24(1), pages 104-120, February.
    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. Xiao, Fan & Guo, Siqi & Huang, Lin & Huang, Lei & Liang, Zhe, 2022. "Integrated aircraft tail assignment and cargo routing problem with through cargo consideration," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 328-351.
    2. Liang, Zhe & Feng, Yuan & Zhang, Xiaoning & Wu, Tao & Chaovalitwongse, Wanpracha Art, 2015. "Robust weekly aircraft maintenance routing problem and the extension to the tail assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 238-259.
    3. Okan Örsan Özener & Melda Örmeci Matoğlu & Güneş Erdoğan & Mohamed Haouari & Hasan Sözer, 2017. "Solving a large-scale integrated fleet assignment and crew pairing problem," Annals of Operations Research, Springer, vol. 253(1), pages 477-500, June.
    4. 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.
    5. Saravanan Venkatachalam & Suresh Acharya & Kenji Oba & Yoshinari Nakayama, 2020. "Prescriptive Analytics for Swapping Aircraft Assignments at All Nippon Airways," Interfaces, INFORMS, vol. 50(2), pages 99-111, March.
    6. Ming Liu & Yueyu Ding & Lihua Sun & Runchun Zhang & Yue Dong & Zihan Zhao & Yiting Wang & Chaoran Liu, 2023. "Green Airline-Fleet Assignment with Uncertain Passenger Demand and Fuel Price," Sustainability, MDPI, vol. 15(2), pages 1-22, January.
    7. Zhe Liang & Wanpracha Art Chaovalitwongse & Huei Chuen Huang & Ellis L. Johnson, 2011. "On a New Rotation Tour Network Model for Aircraft Maintenance Routing Problem," Transportation Science, INFORMS, vol. 45(1), pages 109-120, 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. Belanger, Nicolas & Desaulniers, Guy & Soumis, Francois & Desrosiers, Jacques, 2006. "Periodic airline fleet assignment with time windows, spacing constraints, and time dependent revenues," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1754-1766, December.
    2. Cynthia Barnhart & Peter Belobaba & Amedeo R. Odoni, 2003. "Applications of Operations Research in the Air Transport Industry," Transportation Science, INFORMS, vol. 37(4), pages 368-391, November.
    3. 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.
    4. Okan Örsan Özener & Melda Örmeci Matoğlu & Güneş Erdoğan & Mohamed Haouari & Hasan Sözer, 2017. "Solving a large-scale integrated fleet assignment and crew pairing problem," Annals of Operations Research, Springer, vol. 253(1), pages 477-500, June.
    5. 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.
    6. 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.
    7. Cynthia Barnhart & Amr Farahat & Manoj Lohatepanont, 2009. "Airline Fleet Assignment with Enhanced Revenue Modeling," Operations Research, INFORMS, vol. 57(1), pages 231-244, February.
    8. Hanif D. Sherali & Ki-Hwan Bae & Mohamed Haouari, 2010. "Integrated Airline Schedule Design and Fleet Assignment: Polyhedral Analysis and Benders' Decomposition Approach," INFORMS Journal on Computing, INFORMS, vol. 22(4), pages 500-513, November.
    9. Hanif Sherali & Ki-Hwan Bae & Mohamed Haouari, 2013. "A benders decomposition approach for an integrated airline schedule design and fleet assignment problem with flight retiming, schedule balance, and demand recapture," Annals of Operations Research, Springer, vol. 210(1), pages 213-244, November.
    10. F M Zeghal & M Haouari & H D Sherali & N Aissaoui, 2011. "Flexible aircraft fleeting and routing at TunisAir," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 368-380, February.
    11. Haouari, Mohamed & Aissaoui, Najla & Mansour, Farah Zeghal, 2009. "Network flow-based approaches for integrated aircraft fleeting and routing," European Journal of Operational Research, Elsevier, vol. 193(2), pages 591-599, March.
    12. João P. Pita & Cynthia Barnhart & António P. Antunes, 2013. "Integrated Flight Scheduling and Fleet Assignment Under Airport Congestion," Transportation Science, INFORMS, vol. 47(4), pages 477-492, November.
    13. 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.
    14. Yan, Shangyao & Tang, Ching-Hui & Fu, Tseng-Chih, 2008. "An airline scheduling model and solution algorithms under stochastic demands," European Journal of Operational Research, Elsevier, vol. 190(1), pages 22-39, October.
    15. Pita, João P. & Adler, Nicole & Antunes, António P., 2014. "Socially-oriented flight scheduling and fleet assignment model with an application to Norway," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 17-32.
    16. 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.
    17. Sriram, Chellappan & Haghani, Ali, 2003. "An optimization model for aircraft maintenance scheduling and re-assignment," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(1), pages 29-48, January.
    18. Barry C. Smith & Ellis L. Johnson, 2006. "Robust Airline Fleet Assignment: Imposing Station Purity Using Station Decomposition," Transportation Science, INFORMS, vol. 40(4), pages 497-516, November.
    19. Ovidiu Listes & Rommert Dekker, 2005. "A Scenario Aggregation–Based Approach for Determining a Robust Airline Fleet Composition for Dynamic Capacity Allocation," Transportation Science, INFORMS, vol. 39(3), pages 367-382, August.
    20. Hai Jiang & Cynthia Barnhart, 2009. "Dynamic Airline Scheduling," Transportation Science, INFORMS, vol. 43(3), pages 336-354, August.

    More about this item

    Statistics

    Access and download statistics

    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:eee:transb:v:40:y:2006:i:4:p:306-318. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    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.