Abstract
The nurse-to-patient assignment problem in Home Care (HC) under continuity of care consists of allocating each newly admitted patient to only one reference nurse, without changing the assignment for a long period. The reference nurse of the new patient is chosen among a set of compatible ones, with the main goal of balancing the workloads among the nurses. In the literature, the assignment problem is usually solved with numerical approaches based on mathematical programming. In this chapter, we present a set of structural policies for solving the problem in the HC context. They take into account the randomness related to the patients’ demands and to the workloads already assigned to nurses. The goal is tominimize a stochastic cost function based on the time for visits provided by the nurses above their capacities. A comparison with the current practice of HC providers that assign the new patient to the nurse with the highest expected available capacity is also presented. To apply the policies, an estimation of patient requirements in the planning period is needed. For this purpose, this chapter also presents a patient stochastic model to describe the patient’s care pathway and his/her demands for visits over time. Finally, the application to a relevant real case is described, and the benefits deriving from implementing the proposed approach are shown.
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References
Aickelin, U., White, P.: Building better nurse scheduling algorithms. Ann. Oper. Res. 128, 159–177 (2004)
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)
American Geriatrics Society AGS: Geriatric healthcare statistics: Demography of aging. In: Reported resources — Statistics (2006)
Bard, J.F.: Nurse Scheduling Models. In: Cochran, J.J. et al. (eds.) Wiley Encyclopedia of Operations Research and Management Science, Topic 4.3.Medicine and Health Care 5, 3617–3627, John Wiley & Sons, New York (2010)
Bard, J.F., Purnomo, H.W.: Preference scheduling for nurses using column generation. Eur. J. Oper. Res. 164(2), 510–534 (2005)
Bard, J.F., Purnomo, H.W.: Cyclic preference scheduling of nurses using a Lagrangian-based heuristic. J. Scheduling 10(1), 5–23 (2007)
Beaumont, N.: Scheduling staff using mixed integer programming. Eur. J. Oper. Res. 98(3), 473–484 (1997)
Belien, J., Demeulemeester, E.: A branch-and-price approach for integrating nurse and surgery scheduling. Eur. J. Oper. Res. 189(3), 652–668 (2008)
Ben Bachouch, R., Fakhfakh, M., Guinet, A., Hajri-Gabouj, S.: Planification de la tournée des infirmiers dans une structure de soins á domicile. Proceedings of the IV Conférence Francophone en Gestion et Ingénierie des SystémEs Hospitaliers GISEH2008 (2008)
Bennett, A.R., Erera, A.L.: Dynamic periodic fixed appointment scheduling for home health. IIE Transactions on Healthcare Systems Engineering 1(1), 6–19 (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)
Borsani, V., Matta, A., Beschi, G., Sommaruga, F.: A home care scheduling model for human resources. Proceedings of the International Conference on Service Systems and Service Management ICSSSM06, 449–454 (2006)
Brunner, J.O., Bard, J.F., Kolisch, R.: Flexible shift scheduling of physicians. Health Care Manag. Sci. 12(3), 285–305 (2009)
Brunner, J.O., Bard, J.F., Kolisch, R.: Midterm scheduling of physicians with flexible shifts using branch and price. IIE Trans. 43(2), 84–109 (2011)
Burke, E.K., De Causmaecker, P., Berghe, G.V., Van Landeghem, H.: The state of the art of nurse rostering. J. Scheduling 7(6), 441–499 (2004)
Chahed, S., Marcon, E., Sahin, E., Feillet, D., Dallery, Y.: Exploring new operational research opportunities within the home care context: the chemotherapy at home. Health Care Manag. Sci. 12(2), 179–191 (2009)
Cheang, B., Li, H., Lim, A., Rodrigues, B.: Nurse rostering problems — a bibliographic survey. Eur. J. Oper. Res. 151(1), 447–460 (2003)
Chevreul, K., Com-Ruelle, L., Midy, F., Paris, V.: The development of hospital care at home: an investigation of Australian, British and Canadian experiences. Istitute de recherce et documentation en économie de la santé (IRDES) 1610 (2005)
Congdon, P.: The development of Gravity models for hospital patient flows under system change: a Bayesian modelling approach. Health Care Manag. Sci. 4(4), 289–304 (2001)
Cordes, C., Dougherty, T.: A review and an integration of research on job burnout. Academy of Management Review 18(4), 621–656 (1993)
De Grano, M.L., Medeiros, D.G., Eitel, D.: Accommodating individual preferences in nurse scheduling via auctions and optimization. Health Care Manag. Sci. 12(3), 228–242 (2009)
Eveborn, P., Flisberg, P., Ronnqvist, M.: LAPS CARE — an operational system for staff planning of home care. Eur. J. Oper. Res. 171(3), 962–976 (2006)
Eveborn, P., Ronnqvist, M., Einarsdóttir, H., Eklund, M., Lidén, K., Almroth, M.: Operations research improves quality and efficiency in home care. Interfaces 39(1), 18–34 (2009)
Gamache, M., Soumis, F., Marquis, G., Desrosier, J.: A column generation approach for largescale aircrew rostering problems. Oper. Res. 47(2), 247–263 (1999)
Hertz, A., Lahrichi, N.: A patient assignment algorithm for home care services. J. Oper. Res. Soc. 60(4), 481–495 (2009)
Kellogg, D.L., Walczak, S.: Nurse scheduling: from academia to implementation or not? Interfaces 37(4), 355–369 (2007)
Koizumi, N., Kuno, E., Smith, T.E.: Modelling patient flows using a queuing network with blocking. Health Care Manag. Sci. 8(1), 49–60 (2005)
Lanzarone, E., Matta, A.: Stochastic nurse assignment in home care services under continuity of care. Under review (2011)
Lanzarone, E., Matta, A., Sahin, E.: Operations Management Applied to Home Care Services: the Problem of assigning Human Resources to Patients (2011). Under review
Lanzarone, E., Matta, A., Scaccabarozzi, G.: A patient stochastic model to support human resource panning in home care. Prod. Plan. Control 21(1), 3–25 (2010)
Marshall, A.H., Mc Clean, S.I.: Using coxian phase-type distributions to identify patient characteristics for duration of stay in hospital. Health Care Manag. Sci. 7(4), 285–289 (2004)
Marshall, A.H., Mc Clean, S.I., Shapcott, C.M., Millard, P.H.: Modelling patient duration of stay to facilitate resource management of geriatric hospitals. Health Care Manag. Sci. 5(4), 313–319 (2002)
Marshall, A., Vasilakis, C., El-Darzi, E.: Length of stay-based patient flow models: recent developments and future directions. Health Care Manag. Sci. 8(3), 213–220 (2005)
Mc Clean, S.I., Mc Alea, B., Millard, P.H.: Using a Markov reward model to estimate spend-down costs for a geriatric department. J. Oper. Res. Soc. 49(10), 1021–1025 (1998)
Mc Clean, S.I., Millard, P.H.: A three compartment model of the patient flows in a geriatric department: a decision support approach. Health Care Manag. Sci. 1(2), 159–163 (1998)
Mc Clean, S.I., Millard, P.H.: Where to treat the older patient? Can Markov models help us better understand the relationship between hospital and community care? J. Oper. Res. Soc. 58(2), 255–261 (2007)
Medicare Payment Advisory Commission MEDPAC: Home health services (Chapter 8). In: Report to the Congress: medicare payment policy (2011)
Purnomo, H.W., Bard, J.F.: Cyclic preference scheduling for nurses using branch and price. Nav. Res. Log. 54(2), 200–220 (2007)
Shaked, M., Shanthikumar, J.G.: Stochastic orders. Springer Series in Statistics. Springer, New York (2007)
Sundaramoorthi, D., Chen, V.C., Rosenberger, J.M., Kim, S.B., Buckley-Behan, D.F.: A data-integrated simulation-based optimization for assigning nurses to patient admissions. Health Care Manag. Sci. 13(3), 210–221
Taylor, G.J., Mc Clean, S.I., Millard, P.H.: Stochastic models of geriatric patient bed occupancy behaviour. J. R. Statist. Soc. A 163(part 1), 39–48 (2000)
Thomsen, K.: Optimization on home care. Thesis in Informatics and Mathematical Modeling, Technical University of Denmark (2006)
Punnakitikashem, P., Rosenberger, J., Behan, D.: Stochastic programming for nurse assignment. Comput. Optim. Appl. 40(3), 321–349 (2008)
Topaloglu, S.: A multi-objective programming model for scheduling emergency medicine residents. Comp. Ind. Eng. 51(3), 375–388 (2006)
Woodward, C.A., Abelson, J., Tedford, S., Hutchison, B.: What is important to continuity in home care? Perspectives of key stakeholders. Soc. Sci. Med. 58(1), 177–192 (2004)
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Lanzarone, E., Matta, A. (2012). The nurse-to-patient assignment problem in Home Care services. In: TĂ nfani, E., Testi, A. (eds) Advanced Decision Making Methods Applied to Health Care. International Series in Operations Research & Management Science, vol 173. Springer, Milano. https://doi.org/10.1007/978-88-470-2321-5_8
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DOI: https://doi.org/10.1007/978-88-470-2321-5_8
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