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Operations management in the home care services: a heuristic for the caregivers’ routing problem

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  • Rabeh Redjem

    (Paris Vincennes University)

  • Eric Marcon

    (Lyon Universities - Saint-Etienne University)

Abstract

Home Care Services (HCS) aim at providing complex coordinated health care for patients at their homes. This paper addresses the challenges of routing and scheduling HCS caregivers under precedence and coordination constraints, with patients receiving multiple caregivers. Moreover, the visits are performed simultaneously and possibly in a predefined order. The routing problem involves a fleet of vehicles to serve a number of customers at different locations. The objective is to find the minimal round for vehicle, while satisfying all the customers and without violating customers’ time windows. It has been proved that the complexity of the caregivers routing problem is linked to both (1) the number of care activities per caregiver ratio and (2) the temporal dependencies rate. Given the poor performance of the mathematical modeling based on exact approaches, a heuristic approach called the Caregivers Routing Heuristic (CRH) has been developed and tested using real size instances. In fact, the exact approaches are not able to solve real size instances. The performance of the CRH has been evaluated using real size instances. The numerical results show that the CRH is very efficient in terms of computation times. Otherwise, the CRH is less sensitive than the exact approaches to both complexity axes: the temporal dependencies constraints and the ratio of the number of care activities per caregiver.

Suggested Citation

  • Rabeh Redjem & Eric Marcon, 2016. "Operations management in the home care services: a heuristic for the caregivers’ routing problem," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 280-303, June.
    • Handle: RePEc:spr:flsman:v:28:y:2016:i:1:d:10.1007_s10696-015-9220-8
    DOI: 10.1007/s10696-015-9220-8
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    References listed on IDEAS

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    1. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
    2. Abelson, Julia & Gold, Sara Tedford & Woodward, Christel & O'Connor, Denise & Hutchison, Brian, 2004. "Managing under managed community care: the experiences of clients, providers and managers in Ontario's competitive home care sector," Health Policy, Elsevier, vol. 68(3), pages 359-372, June.
    3. Sachidanand V. Begur & David M. Miller & Jerry R. Weaver, 1997. "An Integrated Spatial DSS for Scheduling and Routing Home-Health-Care Nurses," Interfaces, INFORMS, vol. 27(4), pages 35-48, August.
    4. Nickel, Stefan & Schröder, Michael & Steeg, Jörg, 2012. "Mid-term and short-term planning support for home health care services," European Journal of Operational Research, Elsevier, vol. 219(3), pages 574-587.
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    Cited by:

    1. Gang Du & Luyao Zheng & Xiaoling Ouyang, 2019. "Real-time scheduling optimization considering the unexpected events in home health care," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 196-220, January.
    2. 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).
    3. Pouria Khodabandeh & Vahid Kayvanfar & Majid Rafiee & Frank Werner, 2021. "A Bi-Objective Home Health Care Routing and Scheduling Model with Considering Nurse Downgrading Costs," IJERPH, MDPI, vol. 18(3), pages 1-24, January.
    4. Mustafa Demirbilek & Juergen Branke & Arne K. Strauss, 2021. "Home healthcare routing and scheduling of multiple nurses in a dynamic environment," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 253-280, March.
    5. 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).
    6. 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.
    7. Gang Du & Xi Liang & Chuanwang Sun, 2017. "Scheduling Optimization of Home Health Care Service Considering Patients’ Priorities and Time Windows," Sustainability, MDPI, vol. 9(2), pages 1-22, February.
    8. Mohammed Bazirha & Abdeslam Kadrani & Rachid Benmansour, 2023. "Stochastic home health care routing and scheduling problem with multiple synchronized services," Annals of Operations Research, Springer, vol. 320(2), pages 573-601, January.
    9. 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.
    10. 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.

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