A Mathematical Programming based Approach for Nurse Patient Customized Efficient Assignment: A Case Study of the Paediatrics Department at Kasserine Hospital, Tunisia
Subject Areas : Decision Support SystemsJihene Jlassi 1 , Habib Chabchoub 2 , Ines Rekik 3
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Keywords: Nurse's workload, Patient's acuity, Integer program, Pediatrics Department, Hospital, Efficiency,
Abstract :
This paper aims to assign nurses to patients where patient needs, nurses' satisfaction, and efficiency goals are considered. On one side, patients need a customized level of acuities, nursing skills, and care; on the second, nurses look for balancing workloads and appropriate assignment of their skills and experience, and on the third, management looks for higher efficiency. A Mixed integer program is developed and implemented in the context of the pediatrics department at Kasserine hospital, Tunisia. Numerical results showed balanced and more fitful assignments with improved overall hospital costs. Hence, service quality has been enhanced as stakeholders' satisfaction has improved.
[1] Leineweber, C., Chungkham, H.S., Lindqvist, R., Westerlund, H., Runesdotter, S., Smeds Alenius, L. and Tishelman, C., (2016). Nurses’ practice environment and satisfaction with schedule flexibility is related to intention to leave due to dis-satisfaction: A multi-country, multilevel study, International Journal of Nursing Studies, 58, 47-58.
[2] Sobaski, T., (2018). Addressing patient acuity and nurse staffing issues in the acute care setting: A review of the literature. International Journal of Studies in Nursing, 3(3), 1-8.
[3] Jiuping Xu, Bin Li, Desheng Wu Rough data envelopment analysis and its application to supply chain performance evaluation. International Journal of Production Economics, 2009.
[4] B. Buchmeister, J. Pavlinjek, I. Palčič, A. Polajnar BULLWHIP EFFECT PROBLEM IN SUPPLY CHAINS. Advances in Production Engineering & Management 2008.
[5] Asaf Hajiyev, Narmina Abdullayeva and Turan Mammadov. Mathematical Models of Queues with Moving Servers — Simple Vertical Transportation Systems. Proceedings of the Sixth International Conference on Management Science and Engineering Management, Springer-Verlag London 2013.
[6] XiaoyangZhou LinziLi HaoyuWenaXinTian ShouyangWang BenjaminLev Supplier’s goal setting considering sustainability: An uncertain dynamic Data Envelopment Analysis based benchmarking model. Information Sciences Volume 545, 4 February 2021, Pages 44-64.
[7] Jiuping Xu; Yanfang Ma; Zeshui Xu. A Bilevel Model for Project Scheduling in a Fuzzy Random Environment. IEEE Transactions on Systems, Man, and Cybernetics: Systems Volume: 45, Issue: 10, October 2015.
[8] Azaiez, M.N. and Al Sharif, S.S. (2005) ‘A 0–1 goal programming model for nurse scheduling’.
[9] Jlassi, J., El Mhamedi, A., & Chabchoub, H. (2011). A multi-objective programming model for nurse scheduling. International Journal of Logistics Economics and Globalisation, 3(2-3), 89-101.
[10] M’Hallah, R., & Alkhabbaz, A. (2013). Scheduling of nurses: a case study of a Kuwaiti health care unit. Operations Research for Health Care, 2(1-2), 1-19.
[11] Jafari, H., Bateni, S., Daneshvar, P., Bateni, S., & Mahdioun, H. (2016). Fuzzy mathematical modeling approach for the nurse scheduling problem: a case study. International Journal of Fuzzy Systems, 18(2), 320-332.
[12] H. Jafari, S. Bateni, P. Daneshvar, S. Bateni, Fuzzy mathematical modeling approach for the nurse scheduling problem : A case study, Int. J Fuzzy Syst. (2015).
[13] B. Liang, A. Turkcan, Acuity-based nurse assignment and patient scheduling in oncology Y. Zakaria, A. Eltawil, N. Harraz, The operating room case-mix problem under uncertainty and nurses capacity constraints, Health Care Manage. Sci. 19 (2016) 383–394.
[14] El Adoly, A. A., Gheith, M., & Fors, M. N. (2018). A new formulation and solution for the nurse scheduling problem: A case study in Egypt. Alexandria engineering journal, 57(4), 2289-2298,
[15] Mullinax, C., & Lawley, M. (2002). Assigning patients to nurses in neonatal intensive care. Journal of the operational research society, 53(1), 25-35.
[16] Punnakitikashem, P., Rosenberger, J. M., & Behan, D. B. (2008). Stochastic programming for nurse assignment. Computational Optimization and Applications, 40(3), 321-349.
[17] Sundaramoorthi, D., Chen, V. C., Rosenberger, J. M., Kim, S. B., & Buckley-Behan, D. F. (2009). A data-integrated simulation model to evaluate nurse–patient assignments. Health care management science, 12, 252-268.
[18] Sir, M. Y., Dundar, B., Steege, L. M. B., & Pasupathy, K. S. (2015). Nurse–patient assignment models considering patient acuity metrics and nurses’ perceived workload. Journal of biomedical informatics, 55(June 2015), 237-248.
[19] Ageiz, M. H., & Abd El-mageed, H. H. (2020). Nurses’ Satisfaction Related to Implementing Patient Acuity Tool-Based Assignment. American Journal of Nursing, 8(4), 452-462. DOI:10.12691/ajnr-8-4-5.
