A Goal Programming Approach to Weight Dispersion in Data Envelopment Analysis
In this study, a multi-criteria data envelopment analysis (MCDEA) model, used in the literature to moderate the homogeneity of weights dispersion, is solved using pre-emptive goal programming. The MCDEA model solved using pre-emptive goal programming gives the same relative efficiency as the classical DEA model while it improves the homogeneity of input-output weights. This conclusion is confirmed by the computational results obtained when the two models are applied to a real data set relative to the socio-economic performances of European countries and to randomly generated instances with various numbers of decision making units, inputs and outputs.
Keywords:
Data envelopment analysis, weight dispersion pre-emptive goal programming, coefficient of variation.,
___
- Charnes, A., Cooper, W.W., Rhodes, E., “Measuring The Efficiency of Decision Making Units”, European Journal of Operational Research, 2, 429- , (1978).
- Meza, L.A., Lins, M.P.E., “Review of Methods for Increasing Discrimination in Data Envelopment Analysis”, Annals of Operations Research, 116, 242, (2002).
- Thompson, R.G., Singleton, F.G., Thrall, R.M., Smith, B.A., ”Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas”, Interfaces, 16: 35-49, (1986).
- Thompson, R.G., Langemeier, L.N., Lee, C.T., Thrall, R.M., “The Role of Multiplier Bounds in Efficiency Analysis with Application to Kansas Farming”, Journal of Econometrics, 46: 93-108 (1990).
- Charnes, A., Cooper, W.W, Huang, Z.M., Sun, D.B., “Polyhedral Cone-Ratio Models with an Illustrative Application to Large Commercial Banks”, Journal of Econometrics, 46: 73-91 (1990).
- Wong, Y.H.B, Beasley, J.E., “Restricting Weight Flexibility in Data Envelopment Analysis”, Journal of the Operational Research Society, 41(9): 829-835 (1990).
- Zhu, J., “Data Envelopment Analysis with Preference Structure”, Journal of the Operational Research Society, 47, 136-150 (1996).
- Halme, M., Joro, T., Korhonen, P., Salo, S., Wallenius, J., “A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis”, Management Science, 45, 115, (1999).
- Jahanshahloo, G.R., Memariani, A., Hosseinzadeh, F., Shoja, N., “A Feasible Interval for Weights in Data Envelopment Analysis”, Applied Mathematics and Computation, 160, 155-168, (2005).
- Allen, R., Athanassopoulos, A., Dyson, R.G., Thanassoulis, E., “Weight Restrictions and Value Judgement in Data Envelopment Analysis: Evolution, Development and Future Directions”, Annals of Operations Research, 73, 13-34, (1997).
- Podinovski, V.V., Athanassopoulos, A., “Assessing the Relative Efficiency of Decision Making Units in DEA Models with Weight Restrictions”, Journal of the Operational Research Society, 49, 500-508 (1998).
- Podinovski, V.V., “Computation Efficient Targets in DEA Models with Production Trade-offs and Weight Restrictions”, European Journal of Operational Research, 181, 586-591, (2007).
- Cooper, W.W., Ruiz, J.L., Sirvent I., "Choosing Weights from Alternative Optimal Solutions of Dual Multiplier Models in DEA", European Journal of Operational Research, 180, 443-458, (2007).
- Kousmanen, T., Cherchye, L., Sipilainen, T., “The Law of One Price in Data Envelopment Analysis: Restricting Weight Flexibility Across Firms”, European Journal of Operational Research, 170, 757 (2006).
- Cooper, W.W., Seiford, L.M., Tone, K., "Data Envelopment Analysis", Kluwer Academic Publishers, Boston, USA (2000).
- Li, X.B., Reeves, G.R., “A multiple criteria approach to data envelopment analysis”, European Journal of Operational Research, 115: 507-517 (1999).
- Zeleny, M., “Multiple Criteria Decision Making”, McGraw-Hill, New York, USA, 215-280 (1982).
- Ignizio, J.P., “Goal Programming and Extension”, Lexington Books, Lexington, 20-55 (1976).
- Bal, H., Örkcü, H.H., Çelebioğlu, S., “An Experimental Comparison of the new Goal Programming and the Linear Programming Approaches in the Two-Group Discriminant Problems”, Engineering, 50 (3): 296-311 (2006).
- DPT(Devlet Planlama Teşkilatı- Turkish Republic Prime Ministry State Planning Organization) , AB Üyesi Ülkelerde ve Aday Ülkelerde Ekonomik Gelişmeler, AB ile İlişkiler Genel Müdürlüğü, Şubat 2007, http://www.dpt.gov.tr/abigm/abmeg/2007ekonomi k gelisme.pdf.
- Yayın Aralığı: 4
- Başlangıç: 1988
- Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü