Abstract
The adequate planning of home-based long-term care (HBLTC) is essential in the current European setting where long-term care (LTC) demand is increasing rapidly, and where home-based care represents a potential cost-saving alternative from traditional inpatient care. Particularly, this planning should involve proper route planning to ensure visits of health professionals to patients’ homes. Nevertheless, literature in the specific area of HBLTC planning is still scarce. Accordingly, this paper proposes a tool based on a mathematical programming model—the \(LTC^{routes}\)—for supporting the daily planning of routes to visit LTC patients’ homes in National Health Service-based countries. The model allows exploring the impact of considering different objectives relevant in this sector, including the minimization of costs and the maximization of service level. Patients’ preferences, traffic conditions and budget constraints are also considered in the proposed model. To illustrate the applicability of the model, a case study based on the National Network of LTC in Portugal is analyzed.
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Notes
- 1.
Within the context of this study, service level related-objectives represent objectives related to the maximization of the number of patients that can be served within a limited budget—note that this concept differs from the one associated with patient inconvenience and preference focused in [13] or [6].
References
Akjiratikarl, C., Yenradee, P., Drake, P.R.: PSO-based algorithm for home care worker scheduling in the UK. Comput. Ind. Eng. 53(4), 559–583 (2007)
Baker, M.: Making Sense of the NHS White Papers, 2nd edn. Radcliffe Medical Press, Oxon (2000)
Bachouch, R.B., Guinet, A., Hajri-Gabouj, S.: A decision-making tool for home health care nurses’ planning. Supply Chain Forum Int. J. 12(1), 14–20 (2011)
Bertels, S., Fahle, T.: A hybrid setup for a hybrid scenario: combining heuristics for the home health care problem. Comput. Oper. Res. 33(10), 2866–2890 (2006)
Birge, J.R., Louveaux, F.: Introduction to Stochastic Programming. Springer, New York (1997)
Braekers, K., Hartl, R.F., Parragh, S.N., Tricoire, F.: A bi-objective home care scheduling problem: analyzing the trade-off between costs and client inconvenience. Eur. J. Oper. Res. 248(2), 428–443 (2016)
Cardoso, T., Oliveira, M., Barbosa-Póvoa, A., Nickel, S.: Modeling the demand for long-term care services under uncertain information. Health Care Manag. Sci. 15(4), 385–412 (2012)
Cohon, J.L.: Multiobjective Programming and Planning. Academic Press Inc., London (1978)
Fikar, C., Hirsch, P.: Home health care routing and scheduling: a review. Comput. Oper. Res. 77, 86–95 (2017)
Gutirrez, E.V., Vidal, C.J.: Home health care logistics management: Framework and research perspectives. Int. J. Ind. Eng. Manag. 4(3), 173–182 (2013)
Knapp, M., Somani, A.: Health financing: long term care, organization and financing. In: Carrin, G., Buse, K., Heggenhougen, K., Quah, S.R. (eds.) Health Systems Policy, Finance, and Organization, pp. 250–9. AcademicPress, San Diego (2009)
Lanzarone, E., Matta, A.: Robust nurse-to-patient assignment in home care services to minimize overtimes under continuity of care. Oper. Res. Health Care 3(2), 48–58 (2014)
Maya Duque, P.A., Castro, M., Srensen, K., Goos, P.: Home care service planning. The case of Landelijke Thuiszorg. Eur. J. Oper. Res. 243(1), 292–301 (2015)
Milburn, A.B.: Operations research applications in home healthcare. In: Hall, R. (eds) Handbook of Healthcare System Scheduling. International Series in Operations Research & Management Science, vol. 168. Springer, Boston (2012)
Miller, C.E., Tucker, A.W., Zemlin, R.A.: Integer programming formulation of traveling salesman problems. J. Assoc. Comput. Mach. 7, 326–329 (1960)
Ministry of Health: Decreto-lei n 101/2006: Cria a Rede Nacional de Cuidados Continuados Integrados [Create the National Network of Long-Term Care], Dirio da Repblica: I Srie-A, no 109 de 6 de Junho (2006)
Ministry of Health: Lei n 48/90: Lei de bases da saúde [Fundamental principles of health], Diário da República: I Série-A, n 195 de 24 de Agosto (1990)
Rodriguez, C., Garaix, T., Xie, X., Augusto, V.: Staff dimensioning in homecare services with uncertain demands. Int. J. Prod. 53(24), 7396–410 (2015)
Simões, J., Augusto, G.F., Fronteira, I., Hernández-Quevedo, C.: Portugal: health system review. Health Syst. Transition 19(2), 1–184 (2017)
Trautsamwieser, A., Hirsch, P.: Optimization of daily scheduling for home health care services. J. Appl. Oper. Res. 3(3), 124–136 (2011)
Vidal, C.J., Gutirrez, E., Gutierrez, V.: Home health care logistics management problems: a critical review of models and methods. Revista Facultad Ingeniería Univ. Antioq. 68, 160–175 (2013)
World Health Organization: Home-based long-term care: report of a WHO study group. World Health Organization, Geneva (2000)
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Espadinha, D., Cardoso-Grilo, T. (2019). Planning the Delivery of Home-Based Long-Term Care: A Mathematical Programming-Based Tool to Support Routes’ Planning. In: Alves, M., Almeida, J., Oliveira, J., Pinto, A. (eds) Operational Research. IO 2018. Springer Proceedings in Mathematics & Statistics, vol 278. Springer, Cham. https://doi.org/10.1007/978-3-030-10731-4_8
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