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A branch-and-price algorithm for the long-term home care scheduling problem

In: Operations Research Proceedings 2011

Author

Listed:
  • M. Gamst

    (University of Southern Denmark)

  • T. Sejr Jensen

    (University of Southern Denmark)

Abstract

In several countries, home care is provided for certain citizens living at home. The long-term home care scheduling problem is to generate work plans such that a high quality of service is maintained, the work hours of the employees are respected, and the overall cost is kept as low as possible. We propose a branchand- price algorithm for the long-term home care scheduling problem. The pricing problem generates a one-day plan for an employee, and the master problem merges the plans with respect to regularity constraints. The method is capable of generating plans with up to 44 visits during one week.

Suggested Citation

  • M. Gamst & T. Sejr Jensen, 2012. "A branch-and-price algorithm for the long-term home care scheduling problem," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 483-488, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-29210-1_77
    DOI: 10.1007/978-3-642-29210-1_77
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    Cited by:

    1. Mohamed Cissé & Semih Yalçindag & Yannick Kergosien & Evren Sahin & Christophe Lenté & Andrea Matta, 2017. "OR problems related to Home Health Care: A review of relevant routing and scheduling problems," Post-Print hal-01736714, HAL.
    2. Braekers, Kris & Hartl, Richard F. & Parragh, Sophie N. & Tricoire, Fabien, 2016. "A bi-objective home care scheduling problem: Analyzing the trade-off between costs and client inconvenience," European Journal of Operational Research, Elsevier, vol. 248(2), pages 428-443.
    3. Paola Cappanera & Maria Grazia Scutellà, 2022. "Addressing consistency and demand uncertainty in the Home Care planning problem," Flexible Services and Manufacturing Journal, Springer, vol. 34(1), pages 1-39, March.
    4. Naderi, Bahman & Begen, Mehmet A. & Zaric, Gregory S. & Roshanaei, Vahid, 2023. "A novel and efficient exact technique for integrated staffing, assignment, routing, and scheduling of home care services under uncertainty," Omega, Elsevier, vol. 116(C).
    5. Cappanera, Paola & Scutellà, Maria Grazia & Nervi, Federico & Galli, Laura, 2018. "Demand uncertainty in robust Home Care optimization," Omega, Elsevier, vol. 80(C), pages 95-110.
    6. Maya Duque, P.A. & Castro, M. & Sörensen, K. & Goos, P., 2015. "Home care service planning. The case of Landelijke Thuiszorg," European Journal of Operational Research, Elsevier, vol. 243(1), pages 292-301.
    7. Grenouilleau, Florian & Legrain, Antoine & Lahrichi, Nadia & Rousseau, Louis-Martin, 2019. "A set partitioning heuristic for the home health care routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 295-303.

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