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An artificial neural network based mathematical model for a stochastic health care facility location problem

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  • Hamid Mousavi

    (Islamic Azad University)

  • Soroush Avakh Darestani

    (Islamic Azad University
    Coventry University)

  • Parham Azimi

    (Islamic Azad University)

Abstract

This research is conducted to investigate the problem of locating the trauma centers and helicopters’ station in order to optimize the trauma care system. The stochastic characteristics of the system, such as stochastic transferring time of the patients, stochastic demand and stochastic servicing time of the patients in trauma centers are taken into account. The problem is first modeled as a stochastic mixed-integer linear mathematical model. In the proposed model, minimizing the total cost, minimizing the transferring time, and minimizing the waiting time inside the trauma center are considered as the three separate objectives. The third objective cannot be expressed by an analytical expression because of the complexity inside a trauma center. Therefore, an artificial neural network (ANN) is first trained by a simulation model and then is utilized to estimate the third objective function. A hybrid multi-objective algorithm is developed based on a non-dominated sorting water flow algorithm in order to search the solution space. Different numerical examples are applied to study the performance of the proposed method. The computational results show that the combination of simulation, ANN, and optimization technique provides an effective means for the highly complex optimization problems.

Suggested Citation

  • Hamid Mousavi & Soroush Avakh Darestani & Parham Azimi, 2021. "An artificial neural network based mathematical model for a stochastic health care facility location problem," Health Care Management Science, Springer, vol. 24(3), pages 499-514, September.
  • Handle: RePEc:kap:hcarem:v:24:y:2021:i:3:d:10.1007_s10729-020-09533-1
    DOI: 10.1007/s10729-020-09533-1
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    References listed on IDEAS

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    1. Erdemir, Elif Tokar & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2010. "Joint ground and air emergency medical services coverage models: A greedy heuristic solution approach," European Journal of Operational Research, Elsevier, vol. 207(2), pages 736-749, December.
    2. Branas, Charles C. & Revelle, Charles S., 2001. "An iterative switching heuristic to locate hospitals and helicopters," Socio-Economic Planning Sciences, Elsevier, vol. 35(1), pages 11-30, March.
    3. Doerner, Karl & Focke, Axel & Gutjahr, Walter J., 2007. "Multicriteria tour planning for mobile healthcare facilities in a developing country," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1078-1096, June.
    4. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    5. de Vries, H. & van de Klundert, J.J. & Wagelmans, A.P.M., 2014. "The Roadside Healthcare Facility Location Problem," Econometric Institute Research Papers EI 2014-09, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Bélanger, V. & Ruiz, A. & Soriano, P., 2019. "Recent optimization models and trends in location, relocation, and dispatching of emergency medical vehicles," European Journal of Operational Research, Elsevier, vol. 272(1), pages 1-23.
    7. João Flávio Freitas Almeida & Luiz Ricardo Pinto & Samuel Vieira Conceição & Francisco Carlos Cardoso Campos & Gilberto Miranda Júnior, 2020. "A Two-Step Optimization Process for Medical Center Location and Capacity Allocation," Springer Proceedings in Business and Economics, in: Adriana Leiras & Carlos Alberto González-Calderón & Irineu de Brito Junior & Sebastián Villa & Hugo (ed.), Operations Management for Social Good, chapter 0, pages 107-117, Springer.
    8. Current, John & Min, Hokey & Schilling, David, 1990. "Multiobjective analysis of facility location decisions," European Journal of Operational Research, Elsevier, vol. 49(3), pages 295-307, December.
    9. Caunhye, Aakil M. & Nie, Xiaofeng & Pokharel, Shaligram, 2012. "Optimization models in emergency logistics: A literature review," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 4-13.
    10. Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
    11. Wu, Tai-Hsi & Chung, Shu-Hsing & Chang, Chin-Chih, 2010. "A water flow-like algorithm for manufacturing cell formation problems," European Journal of Operational Research, Elsevier, vol. 205(2), pages 346-360, September.
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    Cited by:

    1. David D. Cho & Kurt M. Bretthauer & Jan Schoenfelder, 2023. "Patient-to-nurse ratios: Balancing quality, nurse turnover, and cost," Health Care Management Science, Springer, vol. 26(4), pages 807-826, December.
    2. Vicencio-Medina, Salvador J. & Rios-Solis, Yasmin A. & Ibarra-Rojas, Omar Jorge & Cid-Garcia, Nestor M. & Rios-Solis, Leonardo, 2023. "The maximal covering location problem with accessibility indicators and mobile units," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    3. Dianne Villicaña-Cervantes & Omar J. Ibarra-Rojas, 2024. "Accessible location of mobile labs for COVID-19 testing," Health Care Management Science, Springer, vol. 27(1), pages 1-19, March.

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