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Environmental Performance of the United States Energy Sector: A DEA Model with Non-Discretionary Factors and Perfect Object

Authors: Alexander Y. Vaninsky


It is suggested to evaluate environmental performance of energy sector using Data Envelopment Analysis with nondiscretionary factors (DEA-ND) with relative indicators as inputs and outputs. The latter allows for comparison of the objects essentially different in size. Inclusion of non-discretionary factors serves separation of the indicators that are beyond the control of the objects. A virtual perfect object comprised of maximal outputs and minimal inputs was added to the group of actual ones. In this setting, explicit solution of the DEA-ND problem was obtained. Energy sector of the United States was analyzed using suggested approach for the period of 1980 – 2006 with expected values of economic indicators for 2030 used for forming the perfect object. It was obtained that environmental performance has been increasing steadily for the period from 7.7% through 50.0% but still remains well below the prospected level

Keywords: DEA with Non Discretionary Factors, Environmental Performance, Energy Sector, Explicit Solution, Perfect Object.

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[1] World Energy Outlook 2008, International Energy Agency., 2008.
[2] International Energy Outlook 2008, Energy Information Administration., 2008.
[3] R. Gold, "Exxon Could Benefit from Emissions Work. Technology for Capturing and Storing Greenhouse Gas Puts Oil Giant in Unusual Favor with Environmentalists," The Wall Street Journal, December 26, 2008, p. B6.
[4] Annual Energy Outlook 2009. Early Release, Energy Information Administration, December 17, 2008,
[5] A. Charnes A., W.W. Cooper, and E. Rhodes, "Evaluating program and managerial efficiency: An application of Data Envelopment Analysis to program follow through," Management Science, vol. 27, pp. 668 - 697, 1978.
[6] R.D. Banker, A. Charnes, and W.W. Cooper, "Some models for estimating technical and scale efficiency in Data Envelopment Analysis," Management Science, vol. 30, no 9, pp. 1078-1092, 1984.
[7] L. Seiford and R. Thrall, "Recent developments in DEA. The mathematical approach to frontier analysis," J. of Econometrics, vol. 46, pp. 7-38, 1990.
[8] M.J. Farrell, "The Measurement of Production Efficiency," J. of the Royal Statistical Society, ser. A, vol. 120, no. 3, pp. 253 - 282, 1957.
[9] R. F├ñre, S. Grosskopf, and D. Tyteca, "An activity analysis model of the environmental performance of firms ÔÇö application to fossil-fuel-fired electric utilities," Ecological Economics, vol. 18, pp. 161-175, 1996.
[10] D. Tyteca, "On the measurement of the environmental performance of firmsÔÇöa literature review and a productive efficiency perspective," J. of Environmental Management, vol. 46, pp. 281-308, 1996.
[11] D. Tyteca, "Linear programming models for the measurement of environmental performance of firms ÔÇö concepts and empirical results", J. of Productivity Analysis, vol. 8, pp. 183-197, 1997.
[12] J.L. Zofio and A.M. Prieto, "Environmental efficiency and regulatory standards: the case of CO2 emissions from OECD Industries," Resource and Energy Economics, vol. 23, pp. 63-83, 2001.
[13] O. Zaim, "Measuring environmental performance of state manufacturing through changes in pollution intensities: a DEA framework", Ecological Economics, vol. 48, pp. 37-47, 2004.
[14] P. Zhou, B.W. Ang and K.L. Poh, "Slacks-based efficiency measures for modeling environmental performance," Ecological Economics, vol. 60, no. 1, pp. 111-118, 2006.
[15] P.Zhou, K.L. Poh and B.W. Ang, "A non-radial DEA approach to measuring environmental performance," European J. of Operational Research, vol. 178, no. 1, pp. 1-7, 2007.
[16] A.Vaninsky, "Environmental Efficiency of Electric Power Industry of the United States: A Data Envelopment Analysis Approach," Int. J. of Electrical Power and Energy Systems Engineering, vol. 1, No 1, 2008, 55 - 61. Available:
[17] P. Zhou, B.W. Ang and K.L. Poh, "Measuring environmental performance under different environmental DEA technologies," Energy Economics, vol. 30, pp. 1-14, 2008.
[18] A.Charnes and W.W. Cooper, "Preface to topics in Data Envelopment Analysis", Annals of Operations Research, vol. 2, pp.59-94, 1985.
[19] A.Charnes, W.W. Cooper, B. Golany, L. Seiford and J. Stutz, "Foundations of data Envelopment Analysis for Pareto-Koopmans efficient empirical production functions", J. of Econometrics, vol. 30, pp. 91-107, 1985.
[20] R.D. Banker and R.C. Morey, "Efficiency analysis for exogenously fixed inputs and outputs," Operations Research, vol. 34, no. 4, pp. 513- 521, 1988.
[21] S. Ray, "Data Envelopment Analysis, nondiscretionary inputs and efficiency: An alternative interpretation," Socio-Economic Planning Sciences, vol. 22, no. 4, pp. 167-176, 1988.
[22] B. Golany and Y. Roll, "An application procedure for DEA", OMEGA, vol. 17, no. 3, pp. 237-250, 1989.
[23] B. Golany and Y. Roll, "Some extensions of techniques to handle nondiscretionary factors in Data Envelopment Analysis", J. of Productivity Analysis, vol. 4, pp. 419 - 432, 1993.
[24] W. Cook, A. Kazakov and R. Green, "Setting performance targets for new decision making units in DEA," INFO, vol. 36, no. 3, pp. 177-188, 1998.
[25] R. Saen, "Developing a nondiscretionary model of slacks-based measure in data envelopment analysis," Applied Mathematics & Computation, vol. 169, no. 2, pp. 1440-1447, 2005.
[26] F. Lotfi, G. Jahanshahloo, and M. Esmaeili, "Sensitivity analysis of efficient units in the presence of non-discretionary inputs," Applied Mathematics & Computation, vol. 190, no. 2, pp. 1185 - 1197, 2007.
[27] S. Farzipoor, "Technology selection in the presence of imprecise data, weight restrictions, and nondiscretionary factors", The Int. J.l of Advanced Manufacturing Technology, pp. 1-12, 2008.
[28] U. Mereste, "O matrichnom metode analiza ekonomicheskoi effectivnosti obshestvennogo proizvodstva", Ekonomika i matematicheskie metody, vol. XYIII, no. 1, pp. 138 - 149, 1982. (In Russian.)
[29] G.M. Fichtengoltz, Kurs differentsialnogo i integralnogo ischislenia,7th ed., vol. 1, Nauka, 1969.(In Russian).