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

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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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    1. Zulch, Gert & Rottinger, Sven & Vollstedt, Thorsten, 2004. "A simulation approach for planning and re-assigning of personnel in manufacturing," International Journal of Production Economics, Elsevier, vol. 90(2), pages 265-277, July.
    2. Chu, Hai D. & Gelman, Eric & Johnson, Ellis L., 1997. "Solving large scale crew scheduling problems," European Journal of Operational Research, Elsevier, vol. 97(2), pages 260-268, March.
    3. Michael J. Brusco & Larry W. Jacobs, 1998. "Personnel Tour Scheduling When Starting-Time Restrictions Are Present," Management Science, INFORMS, vol. 44(4), pages 534-547, April.
    4. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    5. Marie-Claude Côté & Bernard Gendron & Louis-Martin Rousseau, 2011. "Grammar-Based Integer Programming Models for Multiactivity Shift Scheduling," Management Science, INFORMS, vol. 57(1), pages 151-163, January.
    6. Dijkstra, Matthijs C. & Kroon, Leo G. & van Nunen, Jo A. E. E. & Salomon, Marc, 1991. "A DSS for capacity planning of aircraft maintenance personnel," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 69-78, October.
    7. Michael J. Brusco & Larry W. Jacobs, 2000. "Optimal Models for Meal-Break and Start-Time Flexibility in Continuous Tour Scheduling," Management Science, INFORMS, vol. 46(12), pages 1630-1641, December.
    8. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    9. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    10. Leslie C. Edie, 1954. "Traffic Delays at Toll Booths," Operations Research, INFORMS, vol. 2(2), pages 107-138, May.
    11. Monia Rekik & Jean-François Cordeau & François Soumis, 2004. "Using Benders Decomposition to Implicitly Model Tour Scheduling," Annals of Operations Research, Springer, vol. 128(1), pages 111-133, April.
    12. Tallys H. Yunes & Arnaldo V. Moura & Cid C. de Souza, 2005. "Hybrid Column Generation Approaches for Urban Transit Crew Management Problems," Transportation Science, INFORMS, vol. 39(2), pages 273-288, May.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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. 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.
    8. 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.
    9. 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.
    10. 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.

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