The directional hybrid measure of efficiency in data envelopment analysis
Subject Areas : History and biographyA. Mirsalehy 1 , M. Rizam Abu Baker 2 , L. S. Lee 3 , Gh. R. Jahanshahloo 4
1 - Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
2 - Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
3 - Laboratory of Computational Statistics and Operations Research, Institute of Mathematical
Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
4 - Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
Keywords:
Abstract :
[1] R. D. Banker, A. Charnes, and W. W. Cooper, Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30 (9) (1984), 1078-1092.
[2] R. G. Chambers, Y. Chung and R. Fare, Benefit and distance functions. Journal of Economic Theory, 70 (2) (1996), 407-419.
[3] R. G. Chambers, Y. Chung and R. Fare, Profit, directional distance functions, and Nerlovian efficiency. Journal of Optimization Theory and Applications, 98 (2) (1998), 351-364.
[4] A. Charnes, W. W. Cooper, Programming with linear fractional functionals. Naval Research Logistics Quarterly, 9 (3-4) (1962), 181-186.
[5] A. Charnes, W. W. Cooper, B. Golany, L. Seiford and J. Stutz, Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30 (1) (1985), 91-107.
[6] A. Charnes, W. W. Cooper, and E. Rhodes, Measuring the efficiency of decision making units. European Journal of Operational Research, 2 (6) (1978), 429-444.
[7] W. D. Cook, L. M. Seiford, Data envelopment analysis (DEA)-Thirty years on. European Journal of Operational Research, 192 (1) (2009), 1-17.
[8] W. W. Cooper, K. S. Park, and J. T. P. Ciurana, Marginal rates and elasticities of substitution with additive models in DEA. Journal of Productivity Analysis, 13 (2) (2000), 105-123.
[9] W. W. Cooper, K. S. Park and G. Yu, IDEA and AR-IDEA: Models for dealing with imprecise data in DEA. Management Science, 45 (4) (1999), 597-607.
[10] W. W. Cooper, L. M. Seiford and J. Zhu, Data envelopment analysis: History, models, and interpretations. Handbook on data envelopment analysis, Springer, (2011),1-39.
[11] A. Emrouznejad, B. R. Parker and G. Tavares, Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA. Socio-Economic Planning Sciences, 42 (3) (2008), 151-157.
[12] R. Fare, S. Grosskopf, A nonparametric cost approach to scale efficiency. The Scandinavian Journal of Economics, (1985), 594-604.
[13] M. J. Farrell, The measurement of productive efficiency. Journal of the Royal Statistical Society. Series A (General), 120 (3) (1957), 253-290.
[14] T. C. Koopmans, Analysis of production as an efficient combination of activities. Activity Analysis of Production and Allocation, 13 (1951), 33-37.
[15] S. Lertworasirikul, P. Charnsethikul and S. C. Fang, Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale. Computers & Industrial Engineering, 61 (4) (2011), 1017-1023.
[16] J. S. Liu, L. Y. Y Lu, W. M. Lu and B. J. Y. Lin, Data envelopment analysis 1978-2010: A citation-based literature survey. Omega, 41 (1) (2013), 3-15.
[17] D. G. Luenberger, Benefit functions and duality. Journal of Mathematical Economics, 21 (5) (1992), 461-481.
[18] D. G. Luenberger, Microeconomic theory. 486 McGraw-Hill New York, 1995.
[19] J. T. Pastor, J. L. Ruiz and I. Sirvent, An enhanced DEA Russell graph efficiency measure. 115 (1999), 596-607.
[20] J. T. Pastor, J. L. Ruiz and I. Sirvent, An enhanced DEA Russell graph efficiency measure. European Journal of Operational Research,115 (3) (1999), 596-607.
[21] J. T. Pastor, J. L. Ruiz and I. Sirvent, Statistical test for detecting in uential observations in DEA. European Journal of Operational Research,115 (3) (1999), 542-554.
[22] V. V. Podinovski, Bridging the gap between the constant and variable returns-to-scale models: selective proportionality in data envelopment analysis. Journal of the Operational Research Society, 55 (3) (2004), 265-276.
[23] R. R. Russell, Measures of technical efficiency. Journal of Economic Theory, 35 (1) (1985), 109-126.
[24] L. M. Seiford, R. M. Thrall, Recent developments in DEA: the mathematical programming approach to frontier analysis. Journal of Econometrics, 46 (1) (1990), 7-38.
[25] R. W. Shepherd, Theory of cost and production functions. Princeton University Press, 2015.
[26] K. Tone, A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130 (3) (2001), 498-509.
[27] K. Tone, A hybrid measure of efficiency in DEA. GRIPS Research Report Series, 2004.