IDEAS home Printed from https://ideas.repec.org/a/eee/jaitra/v58y2017icp21-30.html
   My bibliography  Save this article

A robust mathematical model and heuristic algorithms for integrated aircraft routing and scheduling, with consideration of fleet assignment problem

Author

Listed:
  • Jamili, Amin

Abstract

One of the most important airline's products is to determine the aircraft routing and scheduling and fleet assignment. The key input data of this problem is the traffic forecasting and allocation that forecasts traffic on each flight leg. The complexity of this problem is to define the connecting flights when passengers should change the aircraft to reach the final destination. Moreover, as there exists various types of uncertainties during the flights, finding a solution which is able to absorb these uncertainties is invaluable. In this paper, a new robust mixed integer mathematical model for the integrated aircraft routing and scheduling, with consideration of fleet assignment problem is proposed. Then to find good solutions for large-scale problems in a rational amount of time, a heuristic algorithm based on the Simulated Annealing (SA) is introduced. In addition, some examples are randomly generated and the proposed heuristic algorithm is validated by comparing the results with the optimum solutions. The effects of robust vs non-robust solutions are examined, and finally, a hybrid algorithm is generated which results in more effective solution in comparison with SA, and Particle Swarm Optimization (PSO).

Suggested Citation

  • Jamili, Amin, 2017. "A robust mathematical model and heuristic algorithms for integrated aircraft routing and scheduling, with consideration of fleet assignment problem," Journal of Air Transport Management, Elsevier, vol. 58(C), pages 21-30.
  • Handle: RePEc:eee:jaitra:v:58:y:2017:i:c:p:21-30
    DOI: 10.1016/j.jairtraman.2016.08.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0969699716301168
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jairtraman.2016.08.008?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
    ---><---

    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. Eglese, R. W., 1990. "Simulated annealing: A tool for operational research," European Journal of Operational Research, Elsevier, vol. 46(3), pages 271-281, June.
    2. Rivi Sandhu & Diego Klabjan, 2007. "Integrated Airline Fleeting and Crew-Pairing Decisions," Operations Research, INFORMS, vol. 55(3), pages 439-456, June.
    3. Guépet, J. & Briant, O. & Gayon, J.P. & Acuna-Agost, R., 2016. "The aircraft ground routing problem: Analysis of industry punctuality indicators in a sustainable perspective," European Journal of Operational Research, Elsevier, vol. 248(3), pages 827-839.
    4. Yan, Shangyao & Chen, Shin-Chin & Chen, Chia-Hung, 2006. "Air cargo fleet routing and timetable setting with multiple on-time demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(5), pages 409-430, September.
    5. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    6. 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.
    7. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    8. 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.
    9. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    10. Lloyd Clarke & Ellis Johnson & George Nemhauser & Zhongxi Zhu, 1997. "The aircraft rotation problem," Annals of Operations Research, Springer, vol. 69(0), pages 33-46, January.
    11. Ram Gopalan & Kalyan Talluri, 1998. "Mathematical models in airline schedule planning: A survey," Annals of Operations Research, Springer, vol. 76(0), pages 155-185, January.
    12. Bartholomew-Biggs, M. C. & Parkhurst, S. C. & Wilson, S. P., 2003. "Global optimization approaches to an aircraft routing problem," European Journal of Operational Research, Elsevier, vol. 146(2), pages 417-431, April.
    13. Cynthia Barnhart & Natashia L. Boland & Lloyd W. Clarke & Ellis L. Johnson & George L. Nemhauser & Rajesh G. Shenoi, 1998. "Flight String Models for Aircraft Fleeting and Routing," Transportation Science, INFORMS, vol. 32(3), pages 208-220, 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. Khaled, Oumaima & Minoux, Michel & Mousseau, Vincent & Michel, Stéphane & Ceugniet, Xavier, 2018. "A multi-criteria repair/recovery framework for the tail assignment problem in airlines," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 137-151.
    2. Kim, Myeonghyeon & Choi, Yuri & Song, Ki Han, 2019. "Identification model development for proactive response on irregular operations (IROPs)," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 1-8.
    3. Xiao, Mei & Chien, Steven & Schonfeld, Paul & Hu, Dawei, 2020. "Optimizing flight equencing and gate assignment considering terminal configuration and walking time," Journal of Air Transport Management, Elsevier, vol. 86(C).
    4. Delgado, Felipe & Mora, Julio, 2021. "A matheuristic approach to the air-cargo recovery problem under demand disruption," Journal of Air Transport Management, Elsevier, vol. 90(C).
    5. Wen, Xin & Sun, Xuting & Ma, Hoi-Lam & Sun, Yige, 2022. "A column generation approach for operational flight scheduling and aircraft maintenance routing," Journal of Air Transport Management, Elsevier, vol. 105(C).
    6. Kenan, Nabil & Jebali, Aida & Diabat, Ali, 2018. "The integrated aircraft routing problem with optional flights and delay considerations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 355-375.
    7. Birolini, Sebastian & Antunes, António Pais & Cattaneo, Mattia & Malighetti, Paolo & Paleari, Stefano, 2021. "Integrated flight scheduling and fleet assignment with improved supply-demand interactions," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 162-180.
    8. Vildan Özkır & Mahmud Sami Özgür, 2021. "Two-Phase Heuristic Algorithm for Integrated Airline Fleet Assignment and Routing Problem," Energies, MDPI, vol. 14(11), pages 1-10, June.
    9. Munari, Pedro & Alvarez, Aldair, 2019. "Aircraft routing for on-demand air transportation with service upgrade and maintenance events: Compact model and case study," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 75-84.
    10. Kenan, Nabil & Diabat, Ali & Jebali, Aida, 2018. "Codeshare agreements in the integrated aircraft routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 272-295.
    11. Ma, Hoi-Lam & Sun, Yige & Chung, Sai-Ho & Chan, Hing Kai, 2022. "Tackling uncertainties in aircraft maintenance routing: A review of emerging technologies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    12. Oruc, Ridvan & Baklacioglu, Tolga, 2022. "Modeling of aircraft performance parameters with metaheuristic methods to achieve specific excess power contours using energy maneuverability method," Energy, Elsevier, vol. 259(C).
    13. Naz Yeti̇moğlu, Yücel & Selim Aktürk, M., 2021. "Aircraft and passenger recovery during an aircraft’s unexpected unavailability," Journal of Air Transport Management, Elsevier, vol. 91(C).

    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. 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.
    3. Khaled, Oumaima & Minoux, Michel & Mousseau, Vincent & Michel, Stéphane & Ceugniet, Xavier, 2018. "A compact optimization model for the tail assignment problem," European Journal of Operational Research, Elsevier, vol. 264(2), pages 548-557.
    4. 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.
    5. Gopalan, Ram, 2014. "The Aircraft Maintenance Base Location Problem," European Journal of Operational Research, Elsevier, vol. 236(2), pages 634-642.
    6. 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.
    7. 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.
    8. 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.
    9. Michelle Dunbar & Gary Froyland & Cheng-Lung Wu, 2012. "Robust Airline Schedule Planning: Minimizing Propagated Delay in an Integrated Routing and Crewing Framework," Transportation Science, INFORMS, vol. 46(2), pages 204-216, May.
    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. 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.
    12. Cynthia Barnhart & Amr Farahat & Manoj Lohatepanont, 2009. "Airline Fleet Assignment with Enhanced Revenue Modeling," Operations Research, INFORMS, vol. 57(1), pages 231-244, February.
    13. Marla, Lavanya & Rikun, Alexander & Stauffer, Gautier & Pratsini, Eleni, 2020. "Robust modeling and planning: Insights from three industrial applications," Operations Research Perspectives, Elsevier, vol. 7(C).
    14. 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.
    15. Stern, Helman I. & Gertsbakh, Ilya B., 2019. "Using deficit functions for aircraft fleet routing," Operations Research Perspectives, Elsevier, vol. 6(C).
    16. Glomb, Lukas & Liers, Frauke & Rösel, Florian, 2023. "Optimizing integrated aircraft assignment and turnaround handling," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1051-1071.
    17. 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.
    18. 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.
    19. 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.
    20. Sanchez, David Torres & Boyacı, Burak & Zografos, Konstantinos G., 2020. "An optimisation framework for airline fleet maintenance scheduling with tail assignment considerations," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 142-164.

    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:jaitra:v:58:y:2017:i:c:p:21-30. 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.journals.elsevier.com/journal-of-air-transport-management/ .

    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.