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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Efficiency and benchmarking in the presence of undesirable (bad) outputs: A DEA approach

Authors and Affiliations

  • G.R Jahanshahloo Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • F. Hosseinzadeh Lotfi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • R. Maddahi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • Y. Jafari Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

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Abstract

Environmental assessment recently becomes a major policy issue in the world. This

study introduces a data envelopment analysis (DEA) model to explore a new use of DEA

for the environmental assessment in which outputs are classified into desirable (good) and

undesirable (bad). Such an output separation is important in the DEA-based environmental

assessment. We used a Range-Adjusted Measure (RAM) DEA model for combining the

two performance measures operational and environmental performance as a unified measure.

Reducing the amount of undesirable outputs is the main purpose of environmental

assessment. Therefor, we try to project the inefficient organization on the efficient frontier

such that the obtained projection produces fewer undesirable outputs than the evaluated

organization. To reach this goal, it is not important to increase or decrease the amount of

inputs.

References

[1] A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units, Eur. J. Oper. Res. 2 (1978) 429-444.

[2] W.W. Cooper, K.S. Park, J.T. Pastor, RAM: A range adjusted measure of efficiency, Journal of Productivity Analysis. 11 (2000) 5-42. Efficiency and benchmarking in the presence of undesirable (bad) outputs 187

[3] R. Fare, S. Grosskopf, K. Lovell, C. Pasurka, Multilateral productivity comparisons when some outputs are undesirable: A nonparametric approach, The Review of Economics and Statistics. 71(1) (1989).

[4] R. Fare, S. Grosskopf, K. Lovell, C. Pasurka, Multilateral productivity comparisons when some outputs are undesirable: A nonparametric approach, The Review of Economics and Statistics. 71(1) (1989).

[5] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavyan, Undesirable inputs and outputs in DEA models, Applied Mathematics and Computation. 169 (2005) 917-925.

View more references (13)

[6] H. Yang, M. Pollitt, Incorporating both undesirable outputs and uncontrollable variables into DEA: The performance of Chinese coal-fired power plants, Eur. J. Oper. Res. 197 (2009) 1095-1105.

[7] T. Sueyoshi, M. Goto, T. Ueno, Performance analysis of US coal-fired power plants by measuring three DEA efficiencies, Energy Policy. 38 (2010) 1675-1688.

[8] T. Sueyoshi, M. Goto, Should the US clean air act include CO2 emission control?: examination by data envelopment analysis, Energy Policy. 38 (2010) 5902-5911.

[9] T. Sueyoshi, An agent-based approach equipped with game theory: strategic collaboration among learning agents during a dynamic market change in the California electricity crisis, Energy Econ. 32 (2010) 1009-1024.

[10] T. Sueyoshi, An Agent-based approach with collaboration among agents: estimation of wholesale electricity price on PJM and artificial data generated by a mean reverting model, Energy Econ. 32 (2010) 1025-1033.

[11] T. Sueyoshi, M. Goto, Measurement of a linkage among environmental, operational and financial performance in Japanese manufacturing firms: a use of data envelopment analysis with strong complementary slackness condition, Eur. J. Oper. Res. 207 (2010) 1742-1753.

[12] T. Sueyoshi, M. Goto, DEA approach for unified efficiency measurement: assessment of Japanese fossil fuel power generation, Energy Econ. 33 (2011) 195-208.

[13] T. Sueyoshi, M. Goto, Methodological comparison between two unified (operational and environmental) efficiency measurements for environmental assessment, Eur. J. Oper. Res. 210 (2011) 684-693. 188 G.R. Jahanshahloo, F. Hosseinzadeh Lotfi, R. Maddahi, Y. Jafari

[14] T. Sueyoshi, M. Goto, Measurement of returns to scale and damages to scale for DEA-based operational and environmental assessment: how to manage desirable (good) and undesirable (bad) outputs? Eur. J. Oper. Res. 211 (2011) 76-89.

[15] T. Sueyoshi, M. Goto, Returns to scale vs. damages to scale in data envelopment analysis: An impact of U.S. clean air act on coal-fired power plants, Omega: Int. J. Management Sci. (2011) (forthcoming).

[16] T. Sueyoshi, M. Goto, Data envelopment analysis for environmental assessment: Comparison between Public and Private Ownership in Petroleum Industry, Eur. J. Oper. Res. 216 (2012) 668-678 .

[17] T. Sueyoshi, M. Goto, Returns to scale and damages to scale under natural and managerial disposability: Strategy, efficiency and competitiveness of petroleum firms, Energy Econ. (2012) (forthcoming).

[18] S. Yaisawarng, J. Klein, The effects of sulfur dioxide controls on productivity change in the US electric power industry. The Review of Economics and Statistics. 76(3) (1994) 447-460.


How to Cite

Jahanshahloo, G., Hosseinzadeh Lotfi, F., Maddahi, R., & Jafari, Y. (2012). Efficiency and benchmarking in the presence of undesirable (bad) outputs: A DEA approach. International Journal of Applied Mathematical Research, 1(2), 178-188. https://doi.org/10.14419/ijamr.v1i2.44

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