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A Hybrid Approach to Solve the Periodic Home Health Care Problem

In: Operations Research Proceedings 2007

Author

Listed:
  • Jörg Steeg

    (Fraunhofer Institut für Wirtschafts- und Technomathematik)

  • Michael Schröder

    (Fraunhofer Institut für Wirtschafts- und Technomathematik)

Abstract

Home health care (HHC) services provide nursing assistance to the elderly with the advantage of allowing them to continue living at their homes. Usually a HHC service has a fleet of vehicles that are used by nurses to get to the patients, where they have to perform a specified job. The HHC problem consists of the following task: assign a nurse to each job such that several conflicting objective functions are minimized, while a number of constraints are met. From a mathematical point of view, this problem is hard to solve, since it combines two well-known NP-hard problems: the vehicle routing problem and the nurse rostering problem. Our main objective is to minimize the number of nurses that visit a patient during the schedule: the nurse-patient loyalty. We consider this loyalty as a main indicator for a good schedule. Additionally, we have a periodic model, i.e. we do not only want to assign the nurses for one day, but we usually want to plan for a whole scheduling horizon, typically a week. As a solution approach, we propose a hybrid approach that combines the strengths of constraint programming and the large neighborhood search metaheuristic.

Suggested Citation

  • Jörg Steeg & Michael Schröder, 2008. "A Hybrid Approach to Solve the Periodic Home Health Care Problem," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 297-302, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-77903-2_46
    DOI: 10.1007/978-3-540-77903-2_46
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    Cited by:

    1. John Bowers & Helen Cheyne & Gillian Mould & Miranda Page, 2015. "Continuity of care in community midwifery," Health Care Management Science, Springer, vol. 18(2), pages 195-204, June.
    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. Yousif Elsamani & Yuya Kajikawa, 2024. "Envisioning the Future of Mobility: A Well-Being-Oriented Approach," Sustainability, MDPI, vol. 16(18), pages 1-22, September.
    4. 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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