Social and health care services as a two-objective optimization problem

Abstract

Optimizing health care services can be considered as an optimization problem, but what exactly should we optimize? We present the problem as a two-objective optimization problem, minimizing cost and maximizing quality. The challenge is that, even if we had concrete quality indicators for all health care sectors, it is not clear how we would solve it. In this paper, we discuss alternative scenarios for solving the problem and the pitfalls we should avoid.

Keywords

health care services / optimization

References

[1] J. Jones, J. Jones, Optimizing healthcare, Proceedings of IEEE International Conference on E-health Networking, Application & Services (HEALTHCOM), 2021, 1-6. https://doi.org/10.1109/HEALTHCOM49281.2021.9399021

[2] Z. Abdalkareem, A. Amir, M. Al-Betar, P. Ekhan, A. Hammouri, Healthcare scheduling in optimization context: a review, Health Technol., 11 (2021), 445-469. https://doi.org/10.1007/s12553-021-00547-5

[3] C. Hamm, J. Bassand, S. Agewall, J. Bax, E. Boersma, H. Bueno, et al., ESC guidelines for the management of acute coronary syndromes in patients presenting without persistent ST-segment elevation: the task force for the management of acute coronary syndromes (ACS) in patients presenting without persistent ST-segment elevation of the European Society of Cardiology (ESC), Eur. Heart J., 32 (2011), 2999-3054. https://doi.org/10.1093/eurheartj/ehr236

[4] P. Fränti, S. Sieranoja, T. Laatikainen, Designing clustering algorithm for optimizing health station locations, Int. J. Health Geogr., 24 (2025), 4. https://doi.org/10.1186/s12942-025-00390-1

[5] P. Fränti, R. Mariescu-Istodor, A. Akram, Web-tool for optimizing locations of health centers, Procedia Computer Science, 219 (2023), 1120-1127. https://doi.org/10.1016/j.procs.2023.01.392

[6] A. T. Murray, Maximal coverage location problem: impacts, significance, and evolution, Int. Regional Sci. Rev., 39 (2016), 5-27. https://doi.org/10.1177/0160017615600222

[7] P. Fränti, R. Mariescu-Istodor, A. Akram, M. Satokangas, E. Reissell, Can we optimize locations of hospitals by minimizing the number of patients at risk? BMC Health Serv. Res., 23 (2023), 415. https://doi.org/10.1186/s12913-023-09375-x

[8] P. Fränti, S. Sieranoja, K. Wikström, T. Laatikainen, Clustering diagnoses from 58M patient visits in Finland between 2015 and 2018, JMIR Med. Inform., 10 (2022), e35422.

[9] L. Eriskin, M. Karatas, Y. J. Zheng, A robust multi-objective model for healthcare resource management and location planning during pandemics, Ann. Oper. Res., 335 (2024), 1471-1518. https://doi.org/10.1007/s10479-022-04760-x

[10] T. Xiang, Y. Li, W. Y. Szeto, The daily routing and scheduling problem of home health care: based on costs and participants' preference satisfaction, Int. Trans. Oper. Res., 30 (2023), 39-69. https://doi.org/10.1111/itor.13043

[11] F. Goodarzian, A. Abraham, A. M. Fathollahi-Fard, A biobjective home health care logistics considering the working time and route balancing: a self-adaptive social engineering optimizer, J. Comput. Des. Eng., 8 (2021), 452-474. https://doi.org/10.1093/jcde/qwaa089

[12] Y. Fu, X. Ma, K. Gao, Z. Li, H. Dong, Multi-objective home health care routing and scheduling with sharing service via a problem-specific knowledge-based artificial bee colony algorithm, IEEE Trans. Intell. Transp., 25 (2024), 1706-1719. https://doi.org/10.1109/TITS.2023.3315785

[13] J. Decerle, O. Grunder, A. H. El Hassani, O. Barakat, A memetic algorithm for multi-objective optimization of the home health care problem, Swarm Evol. Comput., 44 (2019), 712-727. https://doi.org/10.1016/j.swevo.2018.08.014

[14] L. Wang, E. Demeulemeester, Simulation optimization in healthcare resource planning: a literature review, IISE Trans., 55 (2023), 985-1007. https://doi.org/10.1080/24725854.2022.2147606

[15] E. Cabrera, M. Taboada, M. L. Iglesias, F. Epelde, E. Luque, Simulation optimization for healthcare emergency departments, Procedia Computer Science, 9 (2012), 1464-1473. https://doi.org/10.1016/j.procs.2012.04.161

[16] M. Ordu, E. Demir, C. Tofallis, M. M. Gunal, A novel healthcare resource allocation decision support tool: a forecasting-simulation-optimization approach, J. Oper. Res. Soc., 72 (2021), 485-500. https://doi.org/10.1080/01605682.2019.1700186

[17] D. Blumenthal, Quality of care-what is it? N. Engl. J. Med., 335 (1996), 891-894. https://doi.org/10.1056/NEJM199609193351213

[18] S. M. Campbell, M. O. Roland, S. A. Buetow, Defining quality of care, Soc. Sci. Med., 51 (2000), 1611-1625. https://doi.org/10.1016/S0277-9536(00)00057-5

[19] AHRQ, Six domains of healthcare quality, Agency for Healthcare Research and Quality, 2025. Available from: https://www.ahrq.gov/talkingquality/measures/six-domains.html.