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A Branch-and-Cut Algorithm for Aircraft Routing with Crew Assignment for On-Demand Air Transportation

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Computational Logistics (ICCL 2021)

Abstract

We address the aircraft routing problem with crew assignment in the context of on-demand air transportation. This problem involves the design of least-cost routes for an aircraft set in order to service private flight requests, considering the customer preferences, fleet characteristics and maintenance events. Additionally, a crew team has to be assigned to each route while satisfying the crew legislation, including duty time limitations and minimum rest times. Despite its practical relevance, integrated aircraft routing and crew assignment has been barely explored in the literature addressing on-demand air transportation. In this paper, we propose a tailored branch-and-cut algorithm to effectively solve the addressed problem, which resorts to a strategy based on dynamic programming to separate cuts that guarantee the feasibility regarding crew legislation. In computational experiments carried out using real-life data provided by a company, the method obtained optimal solutions for all instances in less than five minutes. Moreover, these solutions indicate a potential improvement of around 23% in the operational cost when compared to the routes designed by the company, which highlights the benefits of using the proposed approach in practice.

Supported by São Paulo Research Foundation (FAPESP) [grant numbers 19/22235-6, 19/23596-2, 20/11602-5, 16/01860-1], Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) [Finance Code 001] and the National Council for Scientific and Technological Development (CNPq) [grant number 313220/2020-4].

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References

  1. Barnhart, C., Cohn, A.M., Johnson, E.L., Klabjan, D., Nemhauser, G.L., Vance, P.H.: Airline Crew Scheduling, pp. 517–560. Springer, Boston (2003). https://doi.org/10.1007/0-306-48058-1_14

  2. Dunbar, M., Froyland, G., Wu, C.L.: An integrated scenario-based approach for robust aircraft routing, crew pairing and re-timing. Comput. Oper. Res. 45, 68–86 (2014)

    Article  MathSciNet  Google Scholar 

  3. Feillet, D.: A tutorial on column generation and branch-and-price for vehicle routing problems. 4OR Q. J. Oper. Res. 8, 407–424 (2010)

    Article  MathSciNet  Google Scholar 

  4. Haouari, M., Zeghal Mansour, F., Sherali, H.D.: A new compact formulation for the daily crew pairing problem. Transp. Sci. 53(3), 811–828 (2019)

    Google Scholar 

  5. Jamili, A.: A robust mathematical model and heuristic algorithms for integrated aircraft routing and scheduling, with consideration of fleet assignment problem. J. Air Transp. Manag. 58, 21–30 (2017)

    Article  Google Scholar 

  6. Kasirzadeh, A., Saddoune, M., Soumis, F.: Airline crew scheduling: models, algorithms, and data sets. EURO J. Transp. Logistics 6(2), 111–137 (2015). https://doi.org/10.1007/s13676-015-0080-x

    Article  Google Scholar 

  7. Khaled, O., Minoux, M., Mousseau, V., Michel, S., Ceugniet, X.: A compact optimization model for the tail assignment problem. Eur. J. Oper. Res. 264, 548–557 (2017)

    Article  MathSciNet  Google Scholar 

  8. Liang, Z., Feng, Y., Zhang, X., Wu, T., Chaovalitwongse, W.A.: Robust weekly aircraft maintenance routing problem and the extension to the tail assignment problem. Transp. Res. Part B Methodol. 78, 238–259 (2015)

    Article  Google Scholar 

  9. Mercier, A., Soumis, F.: An integrated aircraft routing, crew scheduling and flight retiming model. Comput. Oper. Res. 34, 2251–2265 (2007)

    Article  Google Scholar 

  10. Munari, P., Alvarez, A.: Aircraft routing for on-demand air transportation with service upgrade and maintenance events: compact model and case study. J. Air Transp. Manag. 75, 75–84 (2019)

    Article  Google Scholar 

  11. Shebalov, S., Klabjan, D.: Robust airline crew pairing: move-up crews. Transp. Sci. 40(3), 300–312 (2006)

    Article  Google Scholar 

  12. Sherali, H.D., Bish, E.K., Zhu, X.: Airline fleet assignment concepts, models, and algorithms. Eur. J. Oper. Res. 172(1), 1–30 (2006)

    Article  Google Scholar 

  13. Vieira, T., et al.: Exact and heuristic approaches to reschedule helicopter flights for personnel transportation in the oil industry. Transp. Res. Part E Logist. Transp. Rev. 151, 102322 (2021)

    Article  Google Scholar 

  14. Yang, W., Karaesmen, I.Z., Keskinocak, P., Tayur, S.: Aircraft and crew scheduling for fractional ownership programs. Ann. Oper. Res. 159(1), 415–431 (2008)

    Article  Google Scholar 

  15. Yao, Y., Ergun, Ö., Johnson, E., Schultz, W., Singleton, J.M.: Strategic planning in fractional aircraft ownership programs. Eur. J. Oper. Res. 189, 526–539 (2008)

    Article  MathSciNet  Google Scholar 

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Correspondence to Rafael Ajudarte de Campos .

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de Campos, R.A., Vieira, T., Munari, P. (2021). A Branch-and-Cut Algorithm for Aircraft Routing with Crew Assignment for On-Demand Air Transportation. In: Mes, M., Lalla-Ruiz, E., Voß, S. (eds) Computational Logistics. ICCL 2021. Lecture Notes in Computer Science(), vol 13004. Springer, Cham. https://doi.org/10.1007/978-3-030-87672-2_40

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  • DOI: https://doi.org/10.1007/978-3-030-87672-2_40

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