Abstract
The efficient use of resources in health systems is important due to the increasing demand and limited funding. Large health systems often have fixed input resources (such as budget and staffing) to be allocated among individual hospitals/clinics with particular target output levels. We propose an optimization model with fuzzy constraints that can be used for automatic resource re-allocation with respect to different levels of risk preferences. We illustrate its applicability using data from a U.S. Army hospital network. The implications of the proposed fuzzy decision-making model for healthcare decision makers and its relevance to healthcare policy and management are also discussed.
Similar content being viewed by others
References
Aktas E, Ulengin F, Sahin SO (2007) A decision support system to improve the efficiency of resource allocation in healthcare management. Socio-Econ Plan Sci 41(2):130–146
Arenas M, Bilbao A, Rodríguez Uría MV, Jimenez M (2001) A fuzzy goal programming model for evaluating a hospital service performance. Fuzzy Sets in Management, Economics and Marketing, pp 19–33
Bastian N, Fulton L, Shah V, Ekin T (2014) Resource allocation decision-making in the military health system. IIE Trans Healthc Syst Eng 4(2):80–87
Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17(4):141–164
Charnes A, Cooper WW, Rhodes E (1978) Measuring efficiency of decision making units. Eur J Oper Res 2(6):429–444
Charnes A, Cooper WW, Golany B, Seiford L, Stutz J (1985) Foundations of data envelopment analysis for Pareto–Koopmans efficient empirical production functions. J Econom 30(1):91–107
Charnes A, Cooper WW, Lewin AY, Seiford LM (1994) Data envelopment analysis: theory, methodology, and applications. Kluwer Academic Publishers, London
Charnes A, Cooper W, Dieck-Assad M, Golany B, Wiggins D (1985) Efficiency analysis of medical care resources in the U.S. Army Health Service Command. The University of Texas at Austin, Center for Cybernetic Studies. Washington, DC: Defense Technical Information Service (ADA 159742)
Cooper W, Seifer L, Tone K (2007) Data envelopment analysis, 2nd edn. Springer, New York
Drud A (1992) CONOPT a large-scale GRG code. ORSA J Comput 6(2):207–216
Eichler HG, Kong SX, Gerth WC, Mavros P, Jonsson B (2004) Use of cost-effectiveness analysis in health-care resource allocation decision-making: how are cost-effectiveness thresholds expected to emerge? Value Health 7(5):518–528
Emrouznejad A, Mustafa A, Al-Eraqi AS (2010) Aggregating preference ranking with fuzzy data envelopment analysis. Knowl Based Syst 23(6):512–519
Emrouznejad A, Tavana M (eds) (2014) Performance measurement with fuzzy data envelopment analysis. Springer, Chicago
Fulton L, Lasdon L, McDaniel R (2007) Cost drivers and resource allocation in military health care systems. Mil Med 172(3):244–249
Fulton L, Lasdon L, McDaniel R, Coppola N (2008) Including quality, access and efficiency in health care cost models. Hosp Top 86(4):3–16
GAMS Development Corporation (2014) The general algebraic modeling system (GAMS). http://www.gams.com. Accessed 26 Jan 2015
Grigoroudis E, Orfanoudaki E, Zopounidis C (2012) Strategic performance measurement in a healthcare organisation: a multiple criteria approach based on balanced scorecard. Omega 40(1):104–119
Hatami-Marbini A, Emrouznejad A, Tavana M (2011) A taxonomy and review of the fuzzy data envelopment analysis literature: two decades in the making. Eur J Oper Res 214(3):457–472
Hussein ML, Abo-Sinna MA (1995) A fuzzy dynamic approach to the multicriterion resource allocation problem. Fuzzy Sets Syst 69(2):115–124
IBM ILOG (2010) CPLEX 12.1 User manual. http://ampl.com/booklets/amplcplex121userguide.pdf. Accessed 26 Jan 2015
Joro T, Korhonen P, Wallenius J (1998) Structural comparison of data envelopment analysis and multiple objective linear programming. Manag Sci 44(7):962–970
Kachukhashvili GS, Tsiskarishvili NE, Dubovik MV, Badiashvili GV (1995) The use of fuzzy sets techniques in managing health organizations. Medinfo MEDINFO 8(1):541
Keskin R, Kocadağli O, Cinemre N (2015) A novel fuzzy goal programming approach with preemptive structure for optimal investment decisions. J Intell Fuzzy Syst: Appl Eng Technol 28(2):633–645
Kocadagli O, Keskin R (2013) A novel fuzzy goal programming approach for optimal investment decisions, Fuzzyss13: the 3rd international fuzzy systems symposium, October 24–25, Istanbul, Turkey
Korhonen P, Syrjanen M (2004) Resource allocation based on efficiency analysis. Manag Sci 50(8):1134–1144
Kwak NK, Chang WL (2002) Business process reengineering for health-care system using multicriteria mathematical programming. Eur J Oper Res 140(2):447–458
Kwak NK, Lee C (1997) A linear goal programming model for human resource allocation in a health-care organization. J Med Syst 21(3):129–140
Lai YJ, Hwang CL (1992) Fuzzy mathematical programming. Springer-Verlag, Berlin
Leon T, Liern V, Ruiz JL, Sirvent I (2003) A fuzzy mathematical programming approach to the assessment of efficiency with DEA models. Fuzzy Sets Syst 139(2):407–419
Lertworasirikul S, Fang SC, Nuttle HL, Joines JA (2003) Fuzzy BCC model for data envelopment analysis. Fuzzy Optim Decis Mak 2(4):337–358
MHS Stakeholder‘s Report (2012) The MHS: healthcare to health. MHS Stakeholder‘s Report (2012) http://www.health.mil//media/MHS/Report20Files/Optimized202012_MHS_Stakeholders_Report120207.ashx. Accessed July 29 2014
Mjelde KM (1986) Fuzzy resource allocation. Fuzzy Sets Syst 19(3):239–250
Murtagh B, Saunders M (1983) MINOS 5.0 user‘s guide. Report SOL 83-20, Department of Operations Research, Stanford University
O`Neill L, Rauner M, Heidenberger K, Kraus M (2008) A cross-national comparison and taxonomy of DEA-based hospital efficiency studies. Socio-Econ Plann Sci 42(3):158–189
Ozcan Y, Bannick R (1994) Trends in Department of Defense hospital efficiency. J Med Syst 18(2):69–83
Piner T (2006) Improving clinical efficiency of military treatment facilities. Unpublished Master’s Thesis, Naval Postgraduate School
Ross T (1995) Fuzzy logic with engineering applications. McGraw-Hill Inc, New York
Sengupta JK (1992) A fuzzy systems approach in data envelopment analysis. Comput Math Appl 24(8):259–266
Sengupta JK (1992) Measuring efficiency by a fuzzy statistical approach. Fuzzy Sets Syst 46(1):73–80
Sheth N, Triantis K (2003) Measuring and evaluating efficiency and effectiveness using goal programming and data envelopment analysis in a fuzzy environment.Yugoslav Journal of. Oper Res 13(1):35–60
Uemura Y (2006) Fuzzy satisfactory evaluation method for covering the ability comparison in the context of DEA efficiency. Control Cybern 35(2):487–495
Wang LX (1997) A course in fuzzy-systems and control. Prentice-Hall, Eastbourne
Wang HF, Fu CC (1997) A generalization of fuzzy goal programming with preemptive structure. Comput Oper Res 24(9):819–828
Werners B (1987) Interact Fuzzy Program Syst. Fuzzy Sets Syst 23(1):131–147
Zadeh L (1965) Fuzzy sets. Inf Control 8(3):338–353
Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1(1):45–55
Acknowledgments
This work was supported in part by the National Science Foundation under Grant No. DGE1255832. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation, United States Army, Texas State University, Mimar Sinan Fine Arts University, Pennsylvania State University, Texas Tech University, or Georgia Institute of Technology.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ekin, T., Kocadagli, O., Bastian, N.D. et al. Fuzzy decision making in health systems: a resource allocation model. EURO J Decis Process 4, 245–267 (2016). https://doi.org/10.1007/s40070-015-0049-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40070-015-0049-x