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A Reverse Directional Distance Function to Reconcile Between Competing Efficiency Goals: An Application to Indian Manufacturing

Listed author(s):
  • Subhash C. Ray

    (University of Connecticut)

  • Kankana Mukherjee

    (Babson College)

In analysis of technical efficiency in production, either the maximum proportional increase in all outputs or a minimal proportional scaling down of all inputs is generally selected as the criterion. In the recent literature, the Directional Distance Function combines the two objectives by increasing output and reducing input simultaneously to the extent possible. This paper introduces a Reverse Directional Distance Function as one possible approach to resolve the conflict between incompatible goals through a minimal adjustment applicable to both of the two objectives. In our empirical analysis we apply the proposed method to Indian manufacturing where increasing the output and conserving energy use are both highly important objectives. A comparison of the feasible targets obtained through the conventional and the Reverse Directional Distance Functions yields an estimated tradeoff between output increase and CO2 reduction (due to energy conservation) along the frontier.

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File URL: http://web2.uconn.edu/economics/working/2017-08.pdf
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Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2017-08.

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Length: 33 pages
Date of creation: Jun 2017
Handle: RePEc:uct:uconnp:2017-08
Note: Subhash Ray is the corresponding author
Contact details of provider: Postal:
University of Connecticut 365 Fairfield Way, Unit 1063 Storrs, CT 06269-1063

Phone: (860) 486-4889
Fax: (860) 486-4463
Web page: http://www.econ.uconn.edu/

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  1. Aparicio, Juan & Pastor, Jesus T. & Ray, Subhash C., 2013. "An overall measure of technical inefficiency at the firm and at the industry level: The ‘lost profit on outlay’," European Journal of Operational Research, Elsevier, vol. 226(1), pages 154-162.
  2. Tulkens, Henry & Vanden Eeckaut, Philippe, 1995. "Non-frontier measures of efficiency, progress and regress for time series data," International Journal of Production Economics, Elsevier, vol. 39(1-2), pages 83-97, April.
  3. Li, Xiao-Bai & Reeves, Gary R., 1999. "A multiple criteria approach to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 115(3), pages 507-517, June.
  4. Kumar Mandal, Sabuj & Madheswaran, S., 2010. "Environmental efficiency of the Indian cement industry: An interstate analysis," Energy Policy, Elsevier, vol. 38(2), pages 1108-1118, February.
  5. Mukherjee, Kankana, 2010. "Measuring energy efficiency in the context of an emerging economy: The case of indian manufacturing," European Journal of Operational Research, Elsevier, vol. 201(3), pages 933-941, March.
  6. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
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