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Accessible location of mobile labs for COVID-19 testing

Author

Listed:
  • Dianne Villicaña-Cervantes

    (Universidad Autónoma de Nuevo León)

  • Omar J. Ibarra-Rojas

    (Universidad Autónoma de Nuevo León)

Abstract

In this study, we address the problem of finding the best locations for mobile labs offering COVID-19 testing. We assume that people within known demand centroids have a degree of mobility, i.e., they can travel a reasonable distance, and mobile labs have a limited-and-variable service area. Thus, we define a location problem concerned with optimizing a measure representing the accessibility of service to its potential clients. In particular, we use the concepts of classical, gradual, and cooperative coverage to define a weighted sum of multiple accessibility indicators. We formulate our optimization problem via a mixed-integer linear program which is intractable by commercial solvers for large instances. In response, we designed a Biased Random-Key Genetic Algorithm to solve the defined problem; this is capable of obtaining high-quality feasible solutions over large numbers of instances in seconds. Moreover, we present insights derived from a case study into the locations of COVID-19 testing mobile laboratories in Nuevo Leon, Mexico. Our experimental results show that our optimization approach can be used as a diagnostic tool to determine the number of mobile labs needed to satisfy a set of demand centroids, assuming that users have reduced mobility due to the restrictions because of the pandemic.

Suggested Citation

  • 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.
    • Handle: RePEc:kap:hcarem:v:27:y:2024:i:1:d:10.1007_s10729-022-09614-3
    DOI: 10.1007/s10729-022-09614-3
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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. Murali, Pavankumar & Ordóñez, Fernando & Dessouky, Maged M., 2012. "Facility location under demand uncertainty: Response to a large-scale bio-terror attack," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 78-87.
    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. Mauricio Resende, 2012. "Biased random-key genetic algorithms with applications in telecommunications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 130-153, April.
    5. Karatas, Mumtaz, 2017. "A multi-objective facility location problem in the presence of variable gradual coverage performance and cooperative cover," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1040-1051.
    6. 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.
    7. Zvi Drezner & George O. Wesolowsky & Tammy Drezner, 2004. "The gradual covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(6), pages 841-855, September.
    8. Thiago Noronha & Mauricio Resende & Celso Ribeiro, 2011. "A biased random-key genetic algorithm for routing and wavelength assignment," Journal of Global Optimization, Springer, vol. 50(3), pages 503-518, July.
    9. Xuecheng Yin & İ. E. Büyüktahtakın, 2021. "A multi-stage stochastic programming approach to epidemic resource allocation with equity considerations," Health Care Management Science, Springer, vol. 24(3), pages 597-622, September.
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