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A matheuristic algorithm for stochastic home health care planning

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  • Nikzad, Erfaneh
  • Bashiri, Mahdi
  • Abbasi, Babak

Abstract

Efficient human resource planning is the cornerstone of designing an effective home health care system. Human resource planning in home health care system consists of decisions on districting/zoning, staff dimensioning, resource assignment, scheduling, and routing. In this study, a two-stage stochastic mixed integer model is proposed that considers these decisions simultaneously. In the planning phase of a home health care system, the main uncertain parameters are travel and service times. Hence, the proposed model takes into account the uncertainty in travel and service times. Districting and staff dimensioning are defined as the first stage decisions, and assignment, scheduling, and routing are considered as the second stage decisions. A novel algorithm is developed for solving the proposed model. The algorithm consists of four phases and relies on a matheuristic-based method that calls on various mixed integer models. In addition, an algorithm based on the progressive hedging and Frank and Wolf algorithms is developed to reduce the computational time of the second phase of the proposed matheuristic algorithm. The efficiency and accuracy of the proposed algorithm are tested through several numerical experiments. The results prove the ability of the algorithm to solve large instances.

Suggested Citation

  • Nikzad, Erfaneh & Bashiri, Mahdi & Abbasi, Babak, 2021. "A matheuristic algorithm for stochastic home health care planning," European Journal of Operational Research, Elsevier, vol. 288(3), pages 753-774.
    • Handle: RePEc:eee:ejores:v:288:y:2021:i:3:p:753-774
    DOI: 10.1016/j.ejor.2020.06.040
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    1. Yves Crama & Mahmood Rezaei & Martin Savelsbergh & Tom Van Woensel, 2018. "Stochastic Inventory Routing for Perishable Products," Transportation Science, INFORMS, vol. 52(3), pages 526-546, June.
    2. Oliveira, Beatriz Brito & Carravilla, Maria Antónia & Oliveira, José Fernando & Toledo, Franklina M.B., 2014. "A relax-and-fix-based algorithm for the vehicle-reservation assignment problem in a car rental company," European Journal of Operational Research, Elsevier, vol. 237(2), pages 729-737.
    3. Andersen, Anders Reenberg & Nielsen, Bo Friis & Reinhardt, Line Blander & Stidsen, Thomas Riis, 2019. "Staff optimization for time-dependent acute patient flow," European Journal of Operational Research, Elsevier, vol. 272(1), pages 94-105.
    4. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    5. 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.
    6. M Blais & S D Lapierre & G Laporte, 2003. "Solving a home-care districting problem in an urban setting," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(11), pages 1141-1147, November.
    7. Oliveira, Beatriz B. & Carravilla, Maria Antónia & Oliveira, José F. & Costa, Alysson M., 2019. "A co-evolutionary matheuristic for the car rental capacity-pricing stochastic problem," European Journal of Operational Research, Elsevier, vol. 276(2), pages 637-655.
    8. R. T. Rockafellar & Roger J.-B. Wets, 1991. "Scenarios and Policy Aggregation in Optimization Under Uncertainty," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 119-147, February.
    9. Yu, Qinxiao & Fang, Kan & Zhu, Ning & Ma, Shoufeng, 2019. "A matheuristic approach to the orienteering problem with service time dependent profits," European Journal of Operational Research, Elsevier, vol. 273(2), pages 488-503.
    10. Guido, Rosita & Groccia, Maria Carmela & Conforti, Domenico, 2018. "An efficient matheuristic for offline patient-to-bed assignment problems," European Journal of Operational Research, Elsevier, vol. 268(2), pages 486-503.
    11. Claudia Archetti & Natashia Boland & Grazia Speranza, 2017. "A Matheuristic for the Multivehicle Inventory Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 377-387, August.
    12. Campelo, Pedro & Neves-Moreira, Fábio & Amorim, Pedro & Almada-Lobo, Bernardo, 2019. "Consistent vehicle routing problem with service level agreements: A case study in the pharmaceutical distribution sector," European Journal of Operational Research, Elsevier, vol. 273(1), pages 131-145.
    13. 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.
    14. Biao Yuan & Ran Liu & Zhibin Jiang, 2015. "A branch-and-price algorithm for the home health care scheduling and routing problem with stochastic service times and skill requirements," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7450-7464, December.
    15. Grenouilleau, Florian & Legrain, Antoine & Lahrichi, Nadia & Rousseau, Louis-Martin, 2019. "A set partitioning heuristic for the home health care routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 295-303.
    16. 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.
    17. Biao Yuan & Ran Liu & Zhibin Jiang, 2018. "Daily scheduling of caregivers with stochastic times," International Journal of Production Research, Taylor & Francis Journals, vol. 56(9), pages 3245-3261, May.
    18. C. Rodriguez & T. Garaix & X. Xie & V. Augusto, 2015. "Staff dimensioning in homecare services with uncertain demands," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7396-7410, December.
    19. 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.
    20. Li, Yantong & Chu, Feng & Chu, Chengbin & Zhu, Zhanguo, 2019. "An efficient three-level heuristic for the large-scaled multi-product production routing problem with outsourcing," European Journal of Operational Research, Elsevier, vol. 272(3), pages 914-927.
    21. Hernández-Leandro, Noberto A. & Boyer, Vincent & Salazar-Aguilar, M. Angélica & Rousseau, Louis-Martin, 2019. "A matheuristic based on Lagrangian relaxation for the multi-activity shift scheduling problem," European Journal of Operational Research, Elsevier, vol. 272(3), pages 859-867.
    22. Semih Yalçindag & Paola Cappanera & Maria Grazia Scutellà & Evren Sahin & Andrea Matta, 2016. "Pattern-based decompositions for human resource planning in home health care services," Post-Print hal-01736734, HAL.
    23. Shi, Yong & Boudouh, Toufik & Grunder, Olivier, 2019. "A robust optimization for a home health care routing and scheduling problem with consideration of uncertain travel and service times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 52-95.
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