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Scheduling mobile dental clinics: A heuristic approach considering fairness among school districts

Author

Listed:
  • Ignacio A. Sepúlveda

    (NC State University)

  • Maichel M. Aguayo

    (Universidad San Sebastián)

  • Rodrigo De la Fuente

    (Universidad de Concepción)

  • Guillermo Latorre-Núñez

    (Universidad del Bío-Bío)

  • Carlos Obreque

    (Universidad del Bío-Bío)

  • Camila Vásquez Orrego

    (Servicio de Salud Ñuble)

Abstract

Mobile dental clinics (MDCs) are suitable solutions for servicing people living in rural and urban areas that require dental healthcare. MDCs can provide dental care to the most vulnerable high-school students. However, scheduling MDCs to visit patients is critical to developing efficient dental programs. Here, we study a mobile dental clinic scheduling problem that arises from the real-life logistics management challenge faced by a school-based mobile dental care program in Southern Chile. This problem involves scheduling MDCs to treat high-school students at public schools while considering a fairness constraint among districts. Schools are circumscribed into districts, and by program regulations, at least 50% of the students in each district must receive dental care during the first semester. Fairness prevents some districts from waiting more time to receive dental care than others. We model the problem as a parallel machine scheduling problem with sequence-dependent setup costs and batch due dates and propose a mathematical model and a genetic algorithm-based solution to solve the problem. Our computational results demonstrate the effectiveness of our approaches in obtaining near-optimal solutions. Finally, dental program managers can use the methodologies presented in this work to schedule mobile dental clinics and improve their operations.

Suggested Citation

  • Ignacio A. Sepúlveda & Maichel M. Aguayo & Rodrigo De la Fuente & Guillermo Latorre-Núñez & Carlos Obreque & Camila Vásquez Orrego, 2024. "Scheduling mobile dental clinics: A heuristic approach considering fairness among school districts," Health Care Management Science, Springer, vol. 27(1), pages 46-71, March.
    • Handle: RePEc:kap:hcarem:v:27:y:2024:i:1:d:10.1007_s10729-022-09612-5
    DOI: 10.1007/s10729-022-09612-5
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    References listed on IDEAS

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    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Isabel Méndez-Fernández & Silvia Lorenzo-Freire & Ignacio García-Jurado & Julián Costa & Luisa Carpente, 2020. "A heuristic approach to the task planning problem in a home care business," Health Care Management Science, Springer, vol. 23(4), pages 556-570, December.
    3. Ling-Huey Su & Ping-Shun Chen & Szu-Yin Chen, 2013. "Scheduling on parallel machines to minimise maximum lateness for the customer order problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 926-936.
    4. Thibaut Vidal & Teodor Gabriel Crainic & Michel Gendreau & Nadia Lahrichi & Walter Rei, 2012. "A Hybrid Genetic Algorithm for Multidepot and Periodic Vehicle Routing Problems," Operations Research, INFORMS, vol. 60(3), pages 611-624, June.
    5. 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.
    6. Dimitris Bertsimas & Shubham Gupta, 2016. "Fairness and Collaboration in Network Air Traffic Flow Management: An Optimization Approach," Transportation Science, INFORMS, vol. 50(1), pages 57-76, February.
    7. Daganzo, Carlos F., 1989. "The crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 23(3), pages 159-175, June.
    8. Ye, Qing Chuan & Zhang, Yingqian & Dekker, Rommert, 2017. "Fair task allocation in transportation," Omega, Elsevier, vol. 68(C), pages 1-16.
    9. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2012. "On the Efficiency-Fairness Trade-off," Management Science, INFORMS, vol. 58(12), pages 2234-2250, December.
    10. Vallada, Eva & Ruiz, Rubén, 2011. "A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 211(3), pages 612-622, June.
    11. Peterkofsky, Roy I. & Daganzo, Carlos F., 1990. "A branch and bound solution method for the crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 159-172, June.
    12. Paolo Toth & Daniele Vigo, 2003. "The Granular Tabu Search and Its Application to the Vehicle-Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(4), pages 333-346, November.
    13. Leah Epstein & Ido Yatsiv, 2017. "Preemptive scheduling on uniformly related machines: minimizing the sum of the largest pair of job completion times," Journal of Scheduling, Springer, vol. 20(2), pages 115-127, April.
    14. Marouene Chaieb & Jaber Jemai & Khaled Mellouli, 2020. "A decomposition - construction approach for solving the home health care scheduling problem," Health Care Management Science, Springer, vol. 23(2), pages 264-286, June.
    15. Dorota Mankowska & Frank Meisel & Christian Bierwirth, 2014. "The home health care routing and scheduling problem with interdependent services," Health Care Management Science, Springer, vol. 17(1), pages 15-30, March.
    16. Cattaruzza, Diego & Absi, Nabil & Feillet, Dominique & Vidal, Thibaut, 2014. "A memetic algorithm for the Multi Trip Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 236(3), pages 833-848.
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