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Constrained network-based column generation for the multi-activity shift scheduling problem

Author

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  • Restrepo, María I.
  • Lozano, Leonardo
  • Medaglia, Andrés L.

Abstract

Real applications in shift scheduling often require handling rules such as multiple breaks, flexible shift lengths, overtime, multiple activities, among others. Because these rules demand a high level of flexibility, we model the problem as a Multi-Activity Shift Scheduling Problem (MASSP), where multiple activities can be scheduled in a shift. To solve the MASSP, we propose a column generation-based approach. The auxiliary problem is modeled as a Shortest Path Problem with Resource Constraints (SPPRC), where most difficult constraints are embedded in the underlying graph. To illustrate the solution approach, we present our experience solving a real-world problem from a large parking lot operator that schedules security staff and cashiers among several parking lots in Bogotá (Colombia). The results show a significant reduction on the staffing total costs and on man-hours used.

Suggested Citation

  • Restrepo, María I. & Lozano, Leonardo & Medaglia, Andrés L., 2012. "Constrained network-based column generation for the multi-activity shift scheduling problem," International Journal of Production Economics, Elsevier, vol. 140(1), pages 466-472.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:1:p:466-472
    DOI: 10.1016/j.ijpe.2012.06.030
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    References listed on IDEAS

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    Cited by:

    1. Michael Römer, 2024. "Block-based state-expanded network models for multi-activity shift scheduling," Journal of Scheduling, Springer, vol. 27(4), pages 341-361, August.
    2. Rana Shariat & Kai Huang, 2024. "A large-scale neighborhood search algorithm for multi-activity tour scheduling problems," Journal of Heuristics, Springer, vol. 30(5), pages 225-267, December.
    3. Restrepo, María I. & Gendron, Bernard & Rousseau, Louis-Martin, 2017. "A two-stage stochastic programming approach for multi-activity tour scheduling," European Journal of Operational Research, Elsevier, vol. 262(2), pages 620-635.
    4. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    5. Duque, Daniel & Lozano, Leonardo & Medaglia, Andrés L., 2015. "An exact method for the biobjective shortest path problem for large-scale road networks," European Journal of Operational Research, Elsevier, vol. 242(3), pages 788-797.
    6. Gérard, Matthieu & Clautiaux, François & Sadykov, Ruslan, 2016. "Column generation based approaches for a tour scheduling problem with a multi-skill heterogeneous workforce," European Journal of Operational Research, Elsevier, vol. 252(3), pages 1019-1030.
    7. Lin, Shih-Wei & Ying, Kuo-Ching, 2014. "Minimizing shifts for personnel task scheduling problems: A three-phase algorithm," European Journal of Operational Research, Elsevier, vol. 237(1), pages 323-334.
    8. Parisio, Alessandra & Neil Jones, Colin, 2015. "A two-stage stochastic programming approach to employee scheduling in retail outlets with uncertain demand," Omega, Elsevier, vol. 53(C), pages 97-103.
    9. Hernández-Leandro, Noberto A. & Boyer, Vincent & Salazar-Aguilar, M. Angélica & Rousseau, Louis-Martin, 2019. "A matheuristic based on Lagrangian relaxation for the multi-activity shift scheduling problem," European Journal of Operational Research, Elsevier, vol. 272(3), pages 859-867.
    10. Vlado Popović & Milorad Kilibarda & Milan Andrejić & Borut Jereb & Dejan Dragan, 2021. "A New Sustainable Warehouse Management Approach for Workforce and Activities Scheduling," Sustainability, MDPI, vol. 13(4), pages 1-19, February.
    11. María I. Restrepo & Bernard Gendron & Louis-Martin Rousseau, 2016. "Branch-and-Price for Personalized Multiactivity Tour Scheduling," INFORMS Journal on Computing, INFORMS, vol. 28(2), pages 334-350, May.
    12. Sana Dahmen & Monia Rekik & François Soumis, 2018. "An implicit model for multi-activity shift scheduling problems," Journal of Scheduling, Springer, vol. 21(3), pages 285-304, June.

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