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Home care vehicle routing problem with chargeable overtime and strict and soft preference matching

Author

Listed:
  • Laura Malagodi

    (Politecnico di Milano)

  • Ettore Lanzarone

    (University of Bergamo)

  • Andrea Matta

    (Politecnico di Milano)

Abstract

A new scheduling problem arising in the home care context is addressed, whose novelty with respect to the literature lies in the way overtime is paid. In this problem, some clients are willing to pay a higher fee to cover the additional overtime cost, if such overtime is incurred because a caregiver works extra time with the client to preserve continuity of care. These overtime hours charged to clients unburden the company, which no longer has to balance between cost and continuity of care in a traditional way. The problem is also studied in a context that includes preferences expressed by both clients and caregivers. Strict preferences must be respected with a high priority, while soft preferences increase the satisfaction and should be preferably respected. We formalize the problem as a Mixed Integer Linear Problem and also propose a cluster-based decomposition to solve real-life instances. The problem is inspired by the real case study of a provider operating in the USA. Numerical results validate the model and confirm the capability of the decomposition approach to deal with real-life instances.

Suggested Citation

  • Laura Malagodi & Ettore Lanzarone & Andrea Matta, 2021. "Home care vehicle routing problem with chargeable overtime and strict and soft preference matching," Health Care Management Science, Springer, vol. 24(1), pages 140-159, March.
    • Handle: RePEc:kap:hcarem:v:24:y:2021:i:1:d:10.1007_s10729-020-09532-2
    DOI: 10.1007/s10729-020-09532-2
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    References listed on IDEAS

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    1. 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.
    2. Mustafa Misir & Pieter Smet & Greet Vanden Berghe, 2015. "An analysis of generalised heuristics for vehicle routing and personnel rostering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(5), pages 858-870, May.
    3. Gerhard Hiermann & Matthias Prandtstetter & Andrea Rendl & Jakob Puchinger & Günther Raidl, 2015. "Metaheuristics for solving a multimodal home-healthcare scheduling problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(1), pages 89-113, March.
    4. 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.
    5. Andrea Matta & Salma Chahed - Jebalia & Evren Sahin, 2014. "Modelling home care organisations from an operations management perspective," Post-Print hal-01737963, HAL.
    6. Lim, Gino J. & Bard, Jonathan F., 2016. "Benders decomposition and an IP-based heuristic for selecting IMRT treatment beam anglesAuthor-Name: Lin, Sifeng," European Journal of Operational Research, Elsevier, vol. 251(3), pages 715-726.
    7. Dorota Mankowska & Frank Meisel & Christian Bierwirth, 2014. "The home health care routing and scheduling problem with interdependent services," Health Care Management Science, Springer, vol. 17(1), pages 15-30, March.
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    Cited by:

    1. de Aguiar, Ana Raquel Pena & Ramos, Tânia Rodrigues Pereira & Gomes, Maria Isabel, 2023. "Home care routing and scheduling problem with teams’ synchronization," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).

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