Optimal location of healthcare and treatment centers with complex structures based on performance

Document Type : Research Article

Authors

1 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.

2 Faculty of Industrial Engineering and Management Science, Shahrood University of Technology

Abstract

Optimal use of existing facilities and resources to improve the efficiency of healthcare and treatment centers, achieving social welfare, and responding to the needs of customers, is an important issue. Paying more attention to healthcare and treatment centers, allocating sufficient resources, and using them correctly will improve the health of the workforce and increase production and productivity in society. One of the important mechanisms for evaluating the performance and efficiency of healthcare and treatment centers is the use of data envelopment analysis. In this article, we propose a new mechanism for the proper distribution of facilities and healthcare and treatment centers in cities to reduce costs and also maximize the efficiency of healthcare and treatment centers with the aim of better quality of services. This is done by integrating the problem of -median location and network data envelopment analysis. Proposed methods are applied for performance measurement, location-allocation, and distribution of 11 healthcare and treatment centers in Shahrood. The primary results show potential of cost reduction that could be done when allocating clients, considering the performance of healthcare and treatment centers. Another important finding is to have centralized healthcare and treatment centers rather than diffused center to reach the optimal condition which is a vital information for health care policy makers.

Keywords

Main Subjects

References

[1] M. Afsharian, A frontier-based facility location problem with a centralised view of measuring the performance of the network, J. Oper. Res. Soc. 72 (2021) 1058–1074.
[2] G.P. Afonso, D.C. Ferreira, J.R. Figueira, A network-DEA model to evaluate the impact of quality and access on hospital performance, Ann. Oper. Res. 342(3) (2023) 1–31.
[3] L. Castelli, R. Pesenti, W. Ukovich, DEA-like models for the efficiency evaluation of hierarchically structured units, Eur. J. Oper. Res. 154 (2004) 465–476.
[4] K.-C. Chai, Y. Yang, D.-C. Xie, Y.-L. Ou, K.-C. Chang, X. Han, The structural characteristics of economic network and efficiency of health care in China, Front. Public Health 9 (2021) 724736.
[5] A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units, Eur. J. Oper. Res. 2 (1978) 429–444.
[6] F. Chiyoshi, R.D. Galvão, A statistical analysis of simulated annealing applied to the p-median problem, Ann. Oper. Res. 96 (2000) 61–74.
[7] E. Farahabadi, M. Yousefi, N. Bahmanzeiari, F. Fereydoni, S. Fazeli, Efficiency analysis of selected urban health centers affiliated in Isfahan University of Medical Sciences (in Persian), Hospital Journal 10(1) (2011) 35–44.
[8] R. Färe, S. Grosskopf, Network DEA, Socio-Econ. Plann. Sci. 34(1) (2000) 35–49.
[9] M. Ghiyasi, G. Ghesmati Tabrizi, S. Naderi, Resources reallocation of sections of Imam Reza hospital based on their performance using data envelopment analysis, J. Oper. Res. Appl. 18 (2021) 57–71.
[10] M. Ghiyasi, S. Naderi, Z. Ameri, G. Ghesmati Tabrizi, Cost efficiency analysis of network DEA models: the case of Mashhad hospitals, Int. J. Hosp. Res. 8 (2019) 97–112.
[11] M. Ghiyasi, M. Soltanifar, H. Sharafi, A novel inverse DEA-R model with application in hospital efficiency, Socio-Econ. Plann. Sci. 84 (2022) 101427.
[12] M. Ghiyasi, W.D. Cook, Semi-additive integer-valued production technology for analyzing public hospitals in Mashhad, Asia-Pac. J. Oper. Res. 41(6) (2024) 2450004.
[13] H. Gwalani, C. Tiwari, A.R. Mikler, Evaluation of heuristics for the p-median problem, Comput. Environ. Urban Syst. 88 (2021) 101656.
[14] S.L. Hakimi, Optimum locations of switching centers and the absolute centers and medians of a graph, Oper. Res. 12 (1964) 450–459.
[15] S. Jiang, R. Min, P.-Q. Fang, The impact of healthcare reform on the efficiency of public county hospitals in China, BMC Health Serv. Res. 17 (2017) 1–8.
[16] C. Kao, Efficiency decomposition in network data envelopment analysis: A relational model, Eur. J. Oper. Res. 192 (2009) 949–962.
[17] C. Kao, Efficiency measurement for parallel production systems, Eur. J. Oper. Res. 196 (2009) 1107–1112.
[18] O. Kariv, S.L. Hakimi, An algorithmic approach to network location problems. II: the p-medians, SIAM J. Appl. Math. 37 (1979) 539–560.
[19] A. Keshtkar, F. Abolhasani, G. Zamani, F. Malekpour, S. Majdzadeh, Efficiency of district health centers in Golestan province during 1999–2001, Hakim Res. J. 6 (2004) 1–8.
[20] A. Mahmoodirad, D. Pamucar, S. Niroomand, A new intuitionistic fuzzy scheme of data envelopment analysis, Socio-Econ. Plann. Sci. 95 (2024) 102004.
[21] A. Mahmoodirad, D. Pamucar, S. Niroomand, V. Simic, Data envelopment analysis based performance evaluation of hospitals, Appl. Soft Comput. 263 (2025) 125775.
[22] P. Marschall, S. Flessa, Assessing the efficiency of rural health centres in Burkina Faso: an application of data envelopment analysis, J. Public Health 17 (2009) 87–95.
[23] N. Mladenović, J. Brimberg, P. Hansen, J.A. Moreno-Pérez, The p-median problem: a survey of metaheuristic approaches, Eur. J. Oper. Res. 179 (2007) 927–939.
[24] P. Nayar, Y.A. Ozcan, F. Yu, A.T. Nguyen, Benchmarking urban acute care hospitals: efficiency and quality perspectives, Health Care Manag. Rev. 38 (2013) 137–145.
[25] A. Plastino, R. Fuchshuber, S. de L. Martins, A.A. Freitas, S. Salhi, A hybrid data mining metaheuristic for the p-median problem, Stat. Anal. Data Min. 4 (2011) 313–335.
[26] H. Qadri, G. Goudarzi, M. Gohari, Determine and review the factors affecting hospital efficiency in Iran University of Medical sciences with DEA & SFA in 2001–2005, Health Management 9 (2006) 31–38.
[27] S.-U. Rahman, D.K. Smith, Use of location-allocation models in health service development planning in developing nations, Eur. J. Oper. Res. 123(3) (2000) 437–452.
[28] A. Rashidian, N. Jahanmehr, A. Pourreza, S. Majdzadeh, G. Goudarzi, Evaluating performance of medical universities in Iran during 2002 to 2007: a technical efficiency study, Hakim Res. J. 13 (2010) 58–68.
[29] J. Reese, Solution methods for the p-median problem: an annotated bibliography, Networks 48 (2006) 125–142.
[30] D. Retzlaff-Roberts, C.F. Chang, R.M. Rubin, Technical efficiency in the use of health care resources: a comparison of OECD countries, Health Policy 69 (2004) 55–72.
[31] C.S. ReVelle, H.A. Eiselt, Location analysis: a synthesis and survey, Eur. J. Oper. Res. 165 (2005) 1–19.
[32] C.S. ReVelle, R.W. Swain, Central facilities location, Geogr. Anal. 2 (1970) 30–42.
[33] E. Rolland, D.A. Schilling, J.R. Current, An efficient tabu search procedure for the p-median problem, Eur. J. Oper. Res. 96 (1997) 329–342.
[34] T. Sayar, M. Ghiyasi, J. Fathali, Inverse revenue and cost efficiency with budget and revenue constraints, Int. J. Math. Oper. Res. 25 (2023) 511–526.
[35] H.D. Sherman, Hospital efficiency measurement and evaluation: empirical test of a new technique, Med. Care 22 (1984) 922–938.
[36] S. Yousefi, H. Shabanpour, K. Ghods, R.F. Saen, How to improve the future efficiency of Covid-19 treatment centers?, Comput. Ind. Eng. 176 (2023) 108933.
[37] H. Zare Ahmadabadi, S. Masoudian, M.R. Zare Banadkouki, Evaluating the technical efficiency of Yazd city health centers with a combined approach of DEA and GT, J. Shahid Sadoughi Univ. Med. Sci. 26 (2019) 717–732.
[38] A.I. Zavras, G. Tsakos, C. Economou, J. Kyriopoulos, Using DEA to evaluate efficiency and formulate policy within a Greek national primary health care network, J. Med. Syst. 26 (2002) 285–292.
Journal of Mathematical Modeling
Volume 14, Issue 3
August 2026
Pages 845-859

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