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A multiobjective approach for weekly Green Home Health Care routing and scheduling problem with care continuity and synchronized services

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  • Makboul, Salma
  • Kharraja, Said
  • Abbassi, Abderrahman
  • El Hilali Alaoui, Ahmed

Abstract

Home Health Care (HHC) services are essential for delivering healthcare programs to patients in their homes, with the goal of reducing hospitalization rates and improving patients’ quality of life. However, HHC organizations face significant challenges in scheduling and routing caregivers for home care visits due to complex criteria and constraints. This paper addresses these challenges by considering both caregiver assignments and transportation logistics. The objective is to minimize the total travel distance and CO2 emissions while ensuring a balanced workload for caregivers, meeting patients’ preferences, synchronization, precedence, and availability constraints. To tackle this problem, we propose a multiperiodic Green Home Health Care (GHHC) framework. In the first stage, we utilize multiobjective programming and the NSGA-II algorithm to generate Pareto front solutions that consider travel distance and CO2 emissions. In the second stage, a Mixed-Integer Linear Programming (MILP) model is proposed to balance caregivers’ workload by assigning them to the patient routes generated in the first stage. The results highlight the trade-off between shorter routes and lower emissions. Furthermore, we examine the impact of prioritizing continuity of care and patient satisfaction. This research provides valuable insights into addressing the scheduling and routing challenges in HHC services, contributing to a more efficient and environmentally friendly healthcare delivery.

Suggested Citation

  • Makboul, Salma & Kharraja, Said & Abbassi, Abderrahman & El Hilali Alaoui, Ahmed, 2024. "A multiobjective approach for weekly Green Home Health Care routing and scheduling problem with care continuity and synchronized services," Operations Research Perspectives, Elsevier, vol. 12(C).
    • Handle: RePEc:eee:oprepe:v:12:y:2024:i:c:s221471602400006x
    DOI: 10.1016/j.orp.2024.100302
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    1. John Bowers & Helen Cheyne & Gillian Mould & Miranda Page, 2015. "Continuity of care in community midwifery," Health Care Management Science, Springer, vol. 18(2), pages 195-204, June.
    2. 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.
    3. Aliza Heching & J. N. Hooker & Ryo Kimura, 2019. "A Logic-Based Benders Approach to Home Healthcare Delivery," Transportation Science, INFORMS, vol. 53(2), pages 510-522, March.
    4. Liu, Ran & Xie, Xiaolan & Garaix, Thierry, 2014. "Hybridization of tabu search with feasible and infeasible local searches for periodic home health care logistics," Omega, Elsevier, vol. 47(C), pages 17-32.
    5. Abderrahman Abbassi & Said Kharraja & Ahmed El Hilali Alaoui & Jaouad Boukachour & Denis Paras, 2021. "Multi-objective two-echelon location-distribution of non-medical products," International Journal of Production Research, Taylor & Francis Journals, vol. 59(17), pages 5284-5300, September.
    6. 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.
    7. Luca Grieco & Martin Utley & Sonya Crowe, 2021. "Operational research applied to decisions in home health care: A systematic literature review," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(9), pages 1960-1991, September.
    8. Govindan, K. & Jafarian, A. & Khodaverdi, R. & Devika, K., 2014. "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," International Journal of Production Economics, Elsevier, vol. 152(C), pages 9-28.
    9. Neda Tanoumand & Tonguç Ünlüyurt, 2021. "An exact algorithm for the resource constrained home health care vehicle routing problem," Annals of Operations Research, Springer, vol. 304(1), pages 397-425, September.
    10. 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.
    11. Salma Makboul & Ahmed El Hilali Alaoui, 2022. "A metaheuristic method for solving an emergency problem," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 41(1/2), pages 29-58.
    12. 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.
    13. Alarcon Ortega, Emilio J. & Schilde, Michael & Doerner, Karl F., 2020. "Matheuristic search techniques for the consistent inventory routing problem with time windows and split deliveries," Operations Research Perspectives, Elsevier, vol. 7(C).
    14. Paola Cappanera & Maria Grazia Scutellà, 2015. "Joint Assignment, Scheduling, and Routing Models to Home Care Optimization: A Pattern-Based Approach," Transportation Science, INFORMS, vol. 49(4), pages 830-852, November.
    15. Yvan Dumas & Jacques Desrosiers & Eric Gelinas & Marius M. Solomon, 1995. "An Optimal Algorithm for the Traveling Salesman Problem with Time Windows," Operations Research, INFORMS, vol. 43(2), pages 367-371, April.
    16. Restrepo, María I. & Rousseau, Louis-Martin & Vallée, Jonathan, 2020. "Home healthcare integrated staffing and scheduling," Omega, Elsevier, vol. 95(C).
    17. Tilahun, Surafel Luleseged, 2019. "Feasibility reduction approach for hierarchical decision making with multiple objectives," Operations Research Perspectives, Elsevier, vol. 6(C).
    18. Seyed Hamid Reza Pasandideh & Seyed Taghi Akhavan Niaki & Reza Abdollahi, 2020. "Modeling and solving a bi-objective joint replenishment-location problem under incremental discount: MOHSA and NSGA-II," Operational Research, Springer, vol. 20(4), pages 2365-2396, December.
    19. Amir M. Fathollahi-Fard & Abbas Ahmadi & Behrooz Karimi, 2021. "Multi-Objective Optimization of Home Healthcare with Working-Time Balancing and Care Continuity," Sustainability, MDPI, vol. 13(22), pages 1-33, November.
    20. 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.
    21. Emna Marrekchi & Walid Besbes & Diala Dhouib & Emrah Demir, 2021. "A review of recent advances in the operations research literature on the green routing problem and its variants," Annals of Operations Research, Springer, vol. 304(1), pages 529-574, September.
    22. Laumanns, Marco & Thiele, Lothar & Zitzler, Eckart, 2006. "An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method," European Journal of Operational Research, Elsevier, vol. 169(3), pages 932-942, March.
    23. Meiyan Lin & Kwai Sang Chin & Lijun Ma & Kwok Leung Tsui, 2020. "A comprehensive multi-objective mixed integer nonlinear programming model for an integrated elderly care service districting problem," Annals of Operations Research, Springer, vol. 291(1), pages 499-529, August.
    24. Cappanera, Paola & Scutellà, Maria Grazia & Nervi, Federico & Galli, Laura, 2018. "Demand uncertainty in robust Home Care optimization," Omega, Elsevier, vol. 80(C), pages 95-110.
    25. Sondes Hammami & Aida Jebali, 2021. "Designing modular capacitated emergency medical service using information on ambulance trip," Operational Research, Springer, vol. 21(3), pages 1723-1742, September.
    26. Shuai Zhang & Yuvraj Gajpal & S. S. Appadoo, 2018. "A meta-heuristic for capacitated green vehicle routing problem," Annals of Operations Research, Springer, vol. 269(1), pages 753-771, October.
    27. Wasakorn Laesanklang & Dario Landa-Silva, 2017. "Decomposition techniques with mixed integer programming and heuristics for home healthcare planning," Annals of Operations Research, Springer, vol. 256(1), pages 93-127, September.
    28. Mike Hewitt & Maciek Nowak & Nisha Nataraj, 2016. "Planning Strategies for Home Health Care Delivery," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-26, October.
    29. Steiner, Maria Teresinha Arns & Datta, Dilip & Steiner Neto, Pedro José & Scarpin, Cassius Tadeu & Rui Figueira, José, 2015. "Multi-objective optimization in partitioning the healthcare system of Parana State in Brazil," Omega, Elsevier, vol. 52(C), pages 53-64.
    30. J. Arturo Castillo-Salazar & Dario Landa-Silva & Rong Qu, 2016. "Workforce scheduling and routing problems: literature survey and computational study," Annals of Operations Research, Springer, vol. 239(1), pages 39-67, April.
    31. 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.
    32. Seles, Bruno Michel Roman Pais & Lopes de Sousa Jabbour, Ana Beatriz & Jabbour, Charbel Jose Chiappetta & Latan, Hengky & Roubaud, David, 2019. "Do Environmental Practices Improve Business Performance Even in an Economic Crisis? Extending the Win-Win Perspective," Ecological Economics, Elsevier, vol. 163(C), pages 189-204.
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    3. Atta, Soumen & Basto-Fernandes, Vítor & Emmerich, Michael, 2025. "A Concise Review of the Home Health Care Routing and Scheduling Problem," Operations Research Perspectives, Elsevier, vol. 15(C).

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