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A decomposition approach for the integrated vehicle-crew-roster problem with days-off pattern

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  • Mesquita, Marta
  • Moz, Margarida
  • Paias, Ana
  • Pato, Margarida

Abstract

The integrated vehicle-crew-roster problem with days-off pattern aims to simultaneously determine minimum cost vehicle and daily crew schedules that cover all timetabled trips and a minimum cost roster covering all daily crew duties according to a pre-defined days-off pattern. This problem is formulated as a new integer linear programming model and is solved by a heuristic approach based on Benders decomposition that iterates between the solution of an integrated vehicle-crew scheduling problem and the solution of a rostering problem. Computational experience with data from two bus companies in Portugal and data from benchmark vehicle scheduling instances shows the ability of the approach for producing a variety of solutions within reasonable computing times as well as the advantages of integrating the three problems.

Suggested Citation

  • Mesquita, Marta & Moz, Margarida & Paias, Ana & Pato, Margarida, 2013. "A decomposition approach for the integrated vehicle-crew-roster problem with days-off pattern," European Journal of Operational Research, Elsevier, vol. 229(2), pages 318-331.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:2:p:318-331
    DOI: 10.1016/j.ejor.2013.02.055
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    1. Breugem, T. & van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2022. "A column generation approach for the integrated crew re-planning problem," Omega, Elsevier, vol. 107(C).
    2. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2019. "A Column Generation Approach for the Integrated Crew Re-Planning Problem," Econometric Institute Research Papers EI2019-31, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Dauzère-Pérès, Stéphane & De Almeida, David & Guyon, Olivier & Benhizia, Faten, 2015. "A Lagrangian heuristic framework for a real-life integrated planning problem of railway transportation resources," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 138-150.
    4. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2017. "Is Equality always desirable?," Econometric Institute Research Papers EI2017-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Liping Ge & Stefan Voß & Lin Xie, 2022. "Robustness and disturbances in public transport," Public Transport, Springer, vol. 14(1), pages 191-261, March.
    6. Ralf Borndörfer & Christof Schulz & Stephan Seidl & Steffen Weider, 2017. "Integration of duty scheduling and rostering to increase driver satisfaction," Public Transport, Springer, vol. 9(1), pages 177-191, July.
    7. van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2024. "Railway crew planning with fairness over time," European Journal of Operational Research, Elsevier, vol. 318(1), pages 55-70.
    8. Mesquita, Marta & Moz, Margarida & Paias, Ana & Pato, Margarida, 2015. "A decompose-and-fix heuristic based on multi-commodity flow models for driver rostering with days-off pattern," European Journal of Operational Research, Elsevier, vol. 245(2), pages 423-437.
    9. F. Zeynep Sargut & Caner Altuntaş & Dilek Cetin Tulazoğlu, 2017. "Multi-objective integrated acyclic crew rostering and vehicle assignment problem in public bus transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(4), pages 1071-1096, October.
    10. Thomas Breugem & Twan Dollevoet & Dennis Huisman, 2022. "Is Equality Always Desirable? Analyzing the Trade-Off Between Fairness and Attractiveness in Crew Rostering," Management Science, INFORMS, vol. 68(4), pages 2619-2641, April.
    11. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.

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