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Optimal patient and personnel scheduling policies for care-at-home service facilities

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  • Koeleman, P.M.
  • Bhulai, S.
  • van Meersbergen, M.

Abstract

In this paper we study the problem of personnel planning in care-at-home facilities. We model the system as a Markov decision process, which leads to a high-dimensional control problem. We study monotonicity properties of the system and derive structural results for the optimal policy. Based on these insights, we propose a trunk reservation heuristic to control the system. We provide numerical evidence that the heuristic yields close to optimal performance, and scales well for large problem instances.

Suggested Citation

  • Koeleman, P.M. & Bhulai, S. & van Meersbergen, M., 2012. "Optimal patient and personnel scheduling policies for care-at-home service facilities," European Journal of Operational Research, Elsevier, vol. 219(3), pages 557-563.
    • Handle: RePEc:eee:ejores:v:219:y:2012:i:3:p:557-563
    DOI: 10.1016/j.ejor.2011.10.046
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    Cited by:

    1. 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.
    2. 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.
    3. Gomes, Maria Isabel & Ramos, Tânia Rodrigues Pereira, 2019. "Modelling and (re-)planning periodic home social care services with loyalty and non-loyalty features," European Journal of Operational Research, Elsevier, vol. 277(1), pages 284-299.
    4. Moosavi, Amirhossein & Ozturk, Onur & Patrick, Jonathan, 2022. "Staff scheduling for residential care under pandemic conditions: The case of COVID-19," Omega, Elsevier, vol. 112(C).
    5. Abdulaziz Ahmed & Elizabeth Frohn, 2021. "A predictive and prescriptive analytical framework for scheduling language medical interpreters," Health Care Management Science, Springer, vol. 24(3), pages 531-550, September.
    6. Lorenzo Ros-McDonnell & Norina Szander & María Victoria de-la-Fuente-Aragón & Robert Vodopivec, 2019. "Scheduling Sustainable Homecare with Urban Transport and Different Skilled Nurses Using an Approximate Algorithm," Sustainability, MDPI, vol. 11(22), pages 1-14, November.
    7. Filipe Alves & Lino A. Costa & Ana Maria A. C. Rocha & Ana I. Pereira & Paulo Leitão, 2022. "The Sustainable Home Health Care Process Based on Multi-Criteria Decision-Support," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
    8. Braekers, Kris & Hartl, Richard F. & Parragh, Sophie N. & Tricoire, Fabien, 2016. "A bi-objective home care scheduling problem: Analyzing the trade-off between costs and client inconvenience," European Journal of Operational Research, Elsevier, vol. 248(2), pages 428-443.
    9. Semih Yalçındağ & Andrea Matta & Evren Şahin & J. George Shanthikumar, 2016. "The patient assignment problem in home health care: using a data-driven method to estimate the travel times of care givers," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 304-335, June.
    10. Niyirora, Jerome & Zhuang, Jun, 2017. "Fluid approximations and control of queues in emergency departments," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1110-1124.
    11. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    12. R. K. Jha & B. S. Sahay & P. Charan, 2016. "Healthcare operations management: a structured literature review," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 43(3), pages 259-279, September.
    13. Sacramento Quintanilla & Francisco Ballestín & Ángeles Pérez, 2020. "Mathematical models to improve the current practice in a Home Healthcare Unit," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 43-74, March.
    14. Carello, Giuliana & Lanzarone, Ettore, 2014. "A cardinality-constrained robust model for the assignment problem in Home Care services," European Journal of Operational Research, Elsevier, vol. 236(2), pages 748-762.

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