Presenting a Budgeting Model in Data Envelopment Analysis Based on Performance Evaluation of Decision Making Units

Document Type : Original Article

Authors
1 Department of Mathematics‎, ‎Central Tehran Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran
2 Department of Mathematics‎, ‎Science and Research Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran Corresponding Author
Abstract
Data envelopment analysis is one of the performance evaluation techniques of decision making units. In addition to evaluation, this technique has many management and economics capabilities. Resource allocation is one of the interesting capabilities that can be implemented by data envelopment analysis models. Since the budget is considered as a resource, budgeting can also be done using resource allocation methods. This paper presents a data envelopment analysis model for budgeting based on a multi-objective programming problem. This problem is then transformed into a single-objective linear programming problem in data envelopment analysis by the common set of weights method. The new model is designed to allocate budget between decision making units to improve overall system performance. The proposed model is an applied model that has been used to allocate budget to some hospitals in the provincial centers of northwestern Iran.
 
 
Keywords

*       Banker‎, ‎R.D.‎, ‎Charnes‎, ‎A.‎, ‎Cooper‎, ‎W.W (1984)‎. ‎ Some models for estimating technical and scale inefficiencies in data envelopment analysis‎. ‎. ‎Management Science‎. ‎30‎, ‎1078-1092‎.‎‎‎‎‎
*       Bastian, N.D., Ekin, T., Kang, H., Griffin, P.M., Fulton, L.V., Grannan, B.C (2017). Stochastic multi-objective auto-optimization for resource allocation decision-making in fixed-input health systems. Health Care Management Science. 246, 246-264.‎
 
*       Beasley, J.E (2003). Allocating fixed costs and resources via data envelopment analysis. ‎European Journal of Operational Research. 147, 198-216.‎‎‎‎‎
*       Bi, G., Ding, J., Luo, Y., Liang, L (2011). Resource allocation and target setting for parallel production system based on DEA. Applied Mathematical Modelling. 35, 4270-4280.‎
*       Brailsford, S., Vissers, J (2011). OR in healthcare: a European perspective. ‎European Journal of Operational Research. 212, 223-234.
*       ‎Charnes‎, ‎A.‎, ‎Cooper‎, ‎W.W.‎, ‎Rhodes‎, ‎E (1978)‎. ‎Measuring the efficiency of decision-making‎. ‎European Journal of Operational Research‎. ‎2‎, ‎429-444‎.‎‎‎‎‎‎‎‎‎‎‎
*       Chen, Y., Wang, J., Zhu, J., David Sherman, H., Chou, S.Y (2017). How the Great Recession affects performance: a case of Pennsylvania hospitals using DEA. Annals of Operations Research. 2017, 1-23.‎
*       Chen, Y.W., Larbani, Y.W., Chang, Y.P (2009). Multiobjective data envelopment analysis. Journal of the Operational Research Society. 60, 1556-1566.‎‎‎‎‎
*       Cook, W.D., Kress, M (1999). Characterizing an equitable allocation of shared costs: a DEA approach. ‎European Journal of Operational Research. 119, 652-661.‎
*       Flokou, A., Aletras, V., Niakas, D (2016). Decomposition of potential efficiency gains from hospital mergers in Greece. Health Care Management Science. 2016, 1-18.‎
*       Forsund, F.R (2017). Economic Interpretations of DEA. Socio-Economic Planning Sciences. 2017, 1-20.‎
*       Hosseinzadeh Lotfi, F., Hatami-Marbini, A., Agrell, P.J., Aghayi, N., Gholami, K (2013). Allocating fixed resources and setting targets using a common-weights DEA approach. Computers ‎&‎ Industrial Engineering. 64, 631-640.‎‎‎‎‎‎
*       Korhonen, P., Syrjänen, M (2004). Resource allocation based on efficiency analysis. ‎Management Science. 50, 1134-1144.‎‎‎
*       Lai, K.K., Cheung, M.T., Fu, Y. J (2017). Resource allocation in public healthcare: A team-dea model. Journal of Systems Science and Complexity. 2017, 1-10.
*       Shinjo, D., Aramaki, T (2012). Geographic distribution of healthcare resources, healthcare service provision, and patient flow in Japan: a cross sectional study. Social Science ‎&‎‎ Medicine. 75, 1954-1963.
*       Vissers, J.M.H (1998). Patient flow-based allocation of hospital resources: a case study. ‎European Journal of Operational Research. 105, 356-370.
*      Yang, C.C (2016). Measuring health indicators and allocating health resources: a DEA-based approach. Health Care Management Science. 2016, 1-14.