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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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    References listed on IDEAS

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    1. Makboul, Salma & Kharraja, Said & Abbassi, Abderrahman & El Hilali Alaoui, Ahmed, 2024. "A multiobjective approach for weekly Green Home Health Care routing and scheduling problem with care continuity and synchronized services," Operations Research Perspectives, Elsevier, vol. 12(C).
    2. Pahlevani, Delaram & Abbasi, Babak & Hearne, John W. & Eberhard, Andrew, 2022. "A cluster-based algorithm for home health care planning: A case study in Australia," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    3. Lin, Meiyan & Ma, Lijun & Ying, Chengshuo, 2021. "Matching daily home health-care demands with supply in service-sharing platforms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    4. Jalel Euchi & Malek Masmoudi & Patrick Siarry, 2022. "Home health care routing and scheduling problems: a literature review," 4OR, Springer, vol. 20(3), pages 351-389, September.
    5. Esmaeil Akhondi-Bajegani & F. Jolai & S. Ali Torabi, 2024. "A new mathematical model for designing and improving the performance of a home health care logistics network," Annals of Operations Research, Springer, vol. 340(2), pages 1189-1220, September.
    6. Tan Yu & Yongpei Guan & Xiang Zhong, 2024. "Visiting nurses assignment and routing for decentralized telehealth service networks," Annals of Operations Research, Springer, vol. 341(2), pages 1191-1221, October.
    7. Zheng, Chenyang & Wang, Shuming & Li, Ningxin & Wu, Yuanhao, 2021. "Stochastic joint homecare service and capacity planning with nested decomposition approaches," European Journal of Operational Research, Elsevier, vol. 295(1), pages 203-222.
    8. Yadav, Niteesh & Tanksale, Ajinkya, 2022. "An integrated routing and scheduling problem for home healthcare delivery with limited person-to-person contact," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1100-1125.
    9. Nasir, Jamal Abdul & Kuo, Yong-Hong, 2024. "Stochastic home care transportation with dynamically prioritized patients: An integrated facility location, fleet sizing, and routing approach," Transportation Research Part B: Methodological, Elsevier, vol. 184(C).
    10. 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.
    11. Cinar, Ahmet & Salman, F. Sibel & Bozkaya, Burcin, 2021. "Prioritized single nurse routing and scheduling for home healthcare services," European Journal of Operational Research, Elsevier, vol. 289(3), pages 867-878.
    12. Vahid Akbari & İhsan Sadati & F. Sibel Salman & Davood Shiri, 2023. "Minimizing total weighted latency in home healthcare routing and scheduling with patient prioritization," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 807-852, September.
    13. Guo, Jia & Bard, Jonathan F., 2023. "A three-step optimization-based algorithm for home healthcare delivery," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    14. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François, 2019. "Profit-oriented fixed-charge network design with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 1-19.
    15. Sinem Kınay Savaşer & Bahar Yetis Kara, 2022. "Mobile healthcare services in rural areas: an application with periodic location routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 875-910, September.

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