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Research on Home Health Care Scheduling Considering Synchronous Access of Caregivers and Vehicles

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  • Yan Li

    (School of Management Science and Engineering, Anhui University of Technology, Maanshan 243032, China
    School of Business, University of Shanghai for Science and Technology, Shanghai 200093, China)

  • Xiao Xu

    (School of Management Science and Engineering, Anhui University of Technology, Maanshan 243032, China)

  • Fuyu Wang

    (School of Management Science and Engineering, Anhui University of Technology, Maanshan 243032, China)

Abstract

With the arrival of an aging society, the high shortage of public medical resources leads to the increasingly serious pension problem, which has attracted extensive attention. This has led to a sharp increase in the demand for family doctors. In order to alleviate the shortage of caregivers, this paper considers the scheduling problem of home health care, which includes the synchronous access of caregivers and vehicles, and the flexible marchingmatching between caregivers and patients. First of all, we construct a Mixed Integer Linear Programming (MILP) to characterize the optimization problem. Secondly, an improved non-dominated sorting genetic algorithm with elite strategy (INSGA-II) is designed. The initial solution with high quality is obtained through the simultaneous evolution of two populations. The chromosomes are optimized by using improved crossover and mutation operators, and local search strategies are designed on this basis. Finally, several groups of test examples are used to verify the feasibility and effectiveness of the algorithm, and analyze the impact of different visit modes on objective function. The results show that the synchronous access can effectively reduce the costs, and can provide theoretical support for the medical center to make plans.

Suggested Citation

  • Yan Li & Xiao Xu & Fuyu Wang, 2023. "Research on Home Health Care Scheduling Considering Synchronous Access of Caregivers and Vehicles," Sustainability, MDPI, vol. 15(7), pages 1-18, April.
  • Handle: RePEc:gam:jsusta:v:15:y:2023:i:7:p:6132-:d:1114524
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    References listed on IDEAS

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    1. Christiane Barz & Rainer Kolisch, 2014. "Hierarchical Multi-skill Resource Assignment in the Telecommunications Industry," Production and Operations Management, Production and Operations Management Society, vol. 23(3), pages 489-503, March.
    2. Rasmussen, Matias Sevel & Justesen, Tor & Dohn, Anders & Larsen, Jesper, 2012. "The Home Care Crew Scheduling Problem: Preference-based visit clustering and temporal dependencies," European Journal of Operational Research, Elsevier, vol. 219(3), pages 598-610.
    3. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    4. 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.
    5. Restrepo, María I. & Rousseau, Louis-Martin & Vallée, Jonathan, 2020. "Home healthcare integrated staffing and scheduling," Omega, Elsevier, vol. 95(C).
    6. Gajpal, Yuvraj & Abad, P.L., 2009. "Multi-ant colony system (MACS) for a vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 196(1), pages 102-117, July.
    7. Mahyar Mirabnejad & Hadi Mohammadi & Mehrdad Mirzabaghi & Amir Aghsami & Fariborz Jolai & Maziar Yazdani, 2022. "Home Health Care Problem with Synchronization Visits and Considering Samples Transferring Time: A Case Study in Tehran, Iran," IJERPH, MDPI, vol. 19(22), pages 1-25, November.
    8. 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.
    9. Hossein Hashemi Doulabi & Gilles Pesant & Louis-Martin Rousseau, 2020. "Vehicle Routing Problems with Synchronized Visits and Stochastic Travel and Service Times: Applications in Healthcare," Transportation Science, INFORMS, vol. 54(4), pages 1053-1072, July.
    10. Yunyun Niu & Zehua Yang & Rong Wen & Jianhua Xiao & Shuai Zhang, 2022. "Solving the Green Open Vehicle Routing Problem Using a Membrane-Inspired Hybrid Algorithm," Sustainability, MDPI, vol. 14(14), pages 1-22, July.
    11. Ziqi Liu & Yeping Chen & Jian Li & Dongqing Zhang & Dragan PamuÄ ar, 2021. "Spatiotemporal-Dependent Vehicle Routing Problem Considering Carbon Emissions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-21, September.
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