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A set partitioning heuristic for the home health care routing and scheduling problem

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  • Grenouilleau, Florian
  • Legrain, Antoine
  • Lahrichi, Nadia
  • Rousseau, Louis-Martin

Abstract

The home health care routing and scheduling problem comprises the assignment and routing of a set of home care visits over the duration of a week. These services allow patients to remain in their own homes, thereby reducing governmental costs by decentralizing the care. In this work, we present a set partitioning heuristic which takes into account most of the industry’s practical constraints. The developed method is based on a set partitioning formulation and a large neighborhood search (LNS) framework. The algorithm solves a linear relaxation of a set partitioning model using the columns generated by the large neighborhood search. A constructive heuristic is then called to build an integer solution. This project is joint work with Alayacare, a start-up sited in Montral (Canada) developing an operations management platform for home health care agencies. They provide their clients with a flexible optimization module that solves real-life instances in no more than 10 minutes. Based on their real instances, the proposed method is able to provide a reduction in travel time by 37% and an increase by more than 16% in continuity of care. We also provide a public benchmark for this problem.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:275:y:2019:i:1:p:295-303
    DOI: 10.1016/j.ejor.2018.11.025
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    Cited by:

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    2. Nikzad, Erfaneh & Bashiri, Mahdi & Abbasi, Babak, 2021. "A matheuristic algorithm for stochastic home health care planning," European Journal of Operational Research, Elsevier, vol. 288(3), pages 753-774.
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