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Mathematical models to improve the current practice in a Home Healthcare Unit

Author

Listed:
  • Sacramento Quintanilla

    (Universitat de València)

  • Francisco Ballestín

    (Universitat de València)

  • Ángeles Pérez

    (Universitat de València)

Abstract

This paper addresses a home healthcare routing problem in which doctors and nurses visit patients at their homes to provide services. We consider a real-world home healthcare service arising in a particular hospital in Spain. Doctors and nurses are distributed in teams and travel by taxi; taxis transport a pre-defined set of workers who travel together the whole route. The objective is to minimise the transportation costs related to the total taxi journey time, including travelling and waiting costs. The paper presents a mathematical model that considers these current policies and permits the problem to be solved optimally. The paper also explores, after reviewing the hospital’s current model, the benefits that can be obtained by changing some of the current policies of the hospital. In this way, a new model is proposed based on two sustainable strategies that can be extended to other home service fields: (1) workers can walk between houses and (2) the workers transported by a taxi may change during the route. A complex nonlinear mathematical model is presented, and a metaheuristic is designed to provide quality solutions. Computational tests on a set of instances based on real-world data estimate the gap between the solutions of both models.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:orspec:v:42:y:2020:i:1:d:10.1007_s00291-019-00565-w
    DOI: 10.1007/s00291-019-00565-w
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    References listed on IDEAS

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    1. Maya Duque, P.A. & Castro, M. & Sörensen, K. & Goos, P., 2015. "Home care service planning. The case of Landelijke Thuiszorg," European Journal of Operational Research, Elsevier, vol. 243(1), pages 292-301.
    2. 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.
    3. Thomas A. Feo & Mauricio G. C. Resende & Stuart H. Smith, 1994. "A Greedy Randomized Adaptive Search Procedure for Maximum Independent Set," Operations Research, INFORMS, vol. 42(5), pages 860-878, October.
    4. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    5. 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.
    6. Daniela Guericke & Leena Suhl, 2017. "The home health care problem with working regulations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(4), pages 977-1010, October.
    7. 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.
    8. 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.
    9. Patrik Eveborn & Mikael Rönnqvist & Helga Einarsdóttir & Mats Eklund & Karin Lidén & Marie Almroth, 2009. "Operations Research Improves Quality and Efficiency in Home Care," Interfaces, INFORMS, vol. 39(1), pages 18-34, February.
    10. Manuel Laguna & Thomas A. Feo & Hal C. Elrod, 1994. "A Greedy Randomized Adaptive Search Procedure for the Two-Partition Problem," Operations Research, INFORMS, vol. 42(4), pages 677-687, August.
    11. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
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