Capacitated Preventive Health Infrastructure Planning with Accessibility-Based Service Equity
Publication: Journal of Urban Planning and Development
Volume 149, Issue 1
Abstract
Hard-to-access health infrastructure is likely to lead to increased morbidity and mortality. The optimal layout of health facilities is significant for disease control and prevention. This study aims to propose a method to provide equitable access to capacitated preventive health facilities, which captures the key features of the effect of congestion in a competitive choice environment. The problem is formulated as a bilevel nonlinear integer programming model. The upper level is a biobjective programming model subject to investment budget (B) constraint, and the lower level is a user equilibrium analogous model resulting from the users’ choice of facility location. An efficient and operable heuristic algorithm was designed according to the bilevel decision structure where a genetic algorithm (GA) with elite strategy is developed to solve the upper-level problem and the method of successive averages (MSA) is adopted to solve the lower-level problem. A case study is employed to validate the performance of the proposed method. The results show that the method is robust and could reach an equal service quality in a reasonable computation time. However, the sensitivity analysis indicated that the marginal benefit of the investment decreased. There is an optimal B beyond which further increments in investment would not offset the benefits. In addition, the proposed method could be beneficial for other congested public service facilities that users are free to choose from.
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Acknowledgments
The authors would like to acknowledge the useful comments that were provided by the anonymous reviewers. This work is supported by the key project of philosophy and social science research in colleges and universities in Jiangsu Province (Grant No. 2021SJZDA025) and the Natural Science Foundation of Jiangsu Province (Grant No. BK20201277). The second author appreciates the support from the National Natural Science Foundation of China (Grant No. 71901189) and the Hong Kong Polytechnic University (ZVTK).
References
Abouee-Mehrizi, H., S. Babri, O. Berman, and H. Shavandi. 2011. “Optimizing capacity, pricing and location decisions on a congested network with balking.” Math. Methods Oper. Res. 74 (2): 233–255. https://doi.org/10.1007/s00186-011-0361-6.
Auerbach, J. D., and H. Kim. 2021. “Local network connectivity optimization: An evaluation of heuristics applied to complex spatial networks, a transportation case study, and a spatial social network.” PeerJ Comput. Sci. 7: e605. https://doi.org/10.7717/peerj-cs.605.
Berman, O., and Z. Drezner. 2006. “Location of congested capacitated facilities with distance-sensitive demand.” IIE Trans. 38 (3): 213–221. https://doi.org/10.1080/07408170500288190.
Berman, O., D. Krass, and J. Wang. 2006. “Locating service facilities to reduce lost demand.” IIE Trans. 38 (11): 933–946. https://doi.org/10.1080/07408170600856722.
Castillo, I., A. Ingolfsson, and T. Sim. 2009. “Social optimal location of facilities with fixed servers, stochastic demand, and congestion.” Prod. Oper. Manage. 18 (6): 721–736. https://doi.org/10.1111/j.1937-5956.2009.01034.x.
Chambari, A., S. H. Rahmaty, V. Hajipour, and A. Karimi. 2011. “A bi-objective model for location-allocation problem within queuing framework.” Int. J. Comput. Inf. Eng. 5: 555–562.
Dan, T., and P. Marcotte. 2019. “Competitive facility location with selfish users and queues.” Oper. Res. 67: 479–497.
Davari, S., K. Kilic, and S. Naderi. 2016. “A heuristic approach to solve the preventive health care problem with budget and congestion constraints.” Appl. Math. Comput. 276: 442–453. https://doi.org/10.1016/j.amc.2015.11.073.
Dogan, K., M. Karatas, and E. Yakici. 2020. “A model for locating preventive health care facilities.” Cent. Eur. J. Oper. Res. 28 (3): 1091–1121. https://doi.org/10.1007/s10100-019-00621-4.
Erdoğan, G., N. Stylianou, and C. Vasilakis. 2019. “An open source decision support system for facility location analysis.” Decis. Support Syst. 125: 113116. https://doi.org/10.1016/j.dss.2019.113116.
Ershadi, M. M., and H. S. Shemirani. 2021. “Using mathematical modeling for analysis of the impact of client choice on preventive healthcare facility network design.” Int. J. Healthcare Manage. 14 (2): 588–602. https://doi.org/10.1080/20479700.2019.1679518.
Filippi, C., G. Guastaroba, D. L. Huerta-Muñoz, and M. G. Speranza. 2021. “A kernel search heuristic for a fair facility location problem.” Comput. Oper. Res. 132: 105292. https://doi.org/10.1016/j.cor.2021.105292.
Gu, W., X. Wang, and S. E. McGregor. 2010. “Optimization of preventive health care facility locations.” Int. J. Health Geographics 9 (1): 17. https://doi.org/10.1186/1476-072X-9-17.
Kucukyazici, B., Y. Zhang, A. Ardestani-Jaafari, and L. Song. 2020. “Incorporating patient preferences in the design and operation of cancer screening facility networks.” Eur. J. Oper. Res. 287 (2): 616–632. https://doi.org/10.1016/j.ejor.2020.03.082.
Marianov, V. 2003. “Location of multiple-server congestible facilities for maximizing expected demand, when services are non-essential.” Ann. Oper. Res. 123 (1/4): 125–141. https://doi.org/10.1023/A:1026171212594.
Marianov, V., M. Rios, and F. J. Barros. 2005. “Allocating servers to facilities, when demand is elastic to travel and waiting times.” RAIRO – Oper. Res. 39 (3): 143–162. https://doi.org/10.1051/ro:2006002.
Marianov, V., M. Ríos, and M. J. Icaza. 2008. “Facility location for market capture when users rank facilities by shorter travel and waiting times.” Eur. J. Oper. Res. 191 (1): 32–44. https://doi.org/10.1016/j.ejor.2007.07.025.
Mousazadeh, M., S. A. Torabi, M. S. Pishvaee, and F. Abolhassani. 2018. “Accessible, stable, and equitable health service network redesign: A robust mixed possibilistic-flexible approach.” Transp. Res. Part E Logist. Transp. Rev. 111: 113–129. https://doi.org/10.1016/j.tre.2018.01.006.
Pourrezaie-Khaligh, P., A. Bozorgi-Amiri, A. Yousefi-Babadi, and I. Moon. 2022. “Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study.” Appl. Math. Modell. 102: 243–267. https://doi.org/10.1016/j.apm.2021.09.022.
Risanger, S., B. Singh, D. Morton, and L. A. Meyers. 2021. “Selecting pharmacies for COVID-19 testing to ensure access.” Health Care Manage. Sci. 24 (2): 330–338. https://doi.org/10.1007/s10729-020-09538-w.
Tao, Z., Y. Cheng, T. Dai, and M. W. Rosenberg. 2014. “Spatial optimization of residential care facility locations in Beijing, China: Maximum equity in accessibility.” Int. J. Health Geographics 13 (1): 33. https://doi.org/10.1186/1476-072X-13-33.
Tao, Z., Y. Cheng, T. Dai, and Q. Zheng. 2016. “Application and validation of gravity p-median model in facility location research.” Syst. Eng. Theory Pract. 36: 1600–1608.
Verter, V., and S. D. Lapierre. 2002. “Location of preventive health care facilities.” Ann. Oper. Res. 110 (1/4): 123–132. https://doi.org/10.1023/A:1020767501233.
Wang, F., and Q. Tang. 2013. “Planning toward equal accessibility to services: A quadratic programming approach.” Environ. Plann. B Plann. Des. 40 (2): 195–212. https://doi.org/10.1068/b37096.
Zhang, W., K. Cao, S. Liu, and B. Huang. 2016. “A multi-objective optimization approach for health-care facility location-allocation problems in highly developed cities such as Hong Kong.” Comput. Environ. Urban Syst. 59: 220–230. https://doi.org/10.1016/j.compenvurbsys.2016.07.001.
Zhang, Y., and D. Atkins. 2019. “Medical facility network design: User-choice and system-optimal models.” Eur. J. Oper. Res. 273 (1): 305–319. https://doi.org/10.1016/j.ejor.2018.08.008.
Zhang, Y., O. Berman, P. Marcotte, and V. Verter. 2010. “A bilevel model for preventive healthcare facility network design with congestion.” IIE Trans. 42 (12): 865–880. https://doi.org/10.1080/0740817X.2010.491500.
Zhang, Y., O. Berman, and V. Verter. 2009. “Incorporating congestion in preventive healthcare facility network design.” Eur. J. Oper. Res. 198 (3): 922–935. https://doi.org/10.1016/j.ejor.2008.10.037.
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© 2022 American Society of Civil Engineers.
History
Received: Mar 11, 2022
Accepted: Sep 15, 2022
Published online: Nov 7, 2022
Published in print: Mar 1, 2023
Discussion open until: Apr 7, 2023
ASCE Technical Topics:
- Algorithms
- Analysis (by type)
- Buildings
- Business management
- Case studies
- Computer programming
- Computing in civil engineering
- Engineering fundamentals
- Engineering mechanics
- Equilibrium
- Facilities (by type)
- Financial management
- Health care facilities
- Infrastructure
- Investments
- Mathematics
- Methodology (by type)
- Practice and Profession
- Research methods (by type)
- Sensitivity analysis
- Statics (mechanics)
- Structural engineering
- Structures (by type)
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