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Measuring efficiency with a linear economic model

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  • Norman Keith Womer
  • Homee Shroff
  • Thomas Gulledge
  • Kingsley Haynes

Abstract

This paper modifies and interprets Data Envelopment Analysis (DEA) using a linear economic model. This approach is similar to the cone input/output and assurance region approaches to DEA, but it is implemented so that the multipliers are measured in the same units across all linear optimization problems. This approach allows one to interpret alternatives as profit maximizing organizations and the DEA multipliers as prices that are comparable across the alternatives. This is a useful extension of the assurance region concept, but more important, is that our approach enhances communication with decision-makers. The improved communication is illustrated by applying the model to the siting of a long-term health care facility. This application is interesting because the multiplier bounds make practical sense, and because the problem has dimensions that sometimes lead to interpretation problems with the traditional DEA model. For example, the site characteristics do not result from coordinated decisions, some sites exhibit zero values for some variables, and the problem has many variables compared with the number of potential sites. Problems with these dimensions have, at times, been deemed unsuitable for DEA, but they are handled without problem by the linear economic model.

Suggested Citation

  • Norman Keith Womer & Homee Shroff & Thomas Gulledge & Kingsley Haynes, 2003. "Measuring efficiency with a linear economic model," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1459-1467.
  • Handle: RePEc:taf:applec:v:35:y:2003:i:13:p:1459-1467
    DOI: 10.1080/0003684032000090636
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    References listed on IDEAS

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    1. Schaffnit, Claire & Rosen, Dan & Paradi, Joseph C., 1997. "Best practice analysis of bank branches: An application of DEA in a large Canadian bank," European Journal of Operational Research, Elsevier, vol. 98(2), pages 269-289, April.
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    6. Kao, Chiang & Chi Yang, Yong, 1992. "Reorganization of forest districts via efficiency measurement," European Journal of Operational Research, Elsevier, vol. 58(3), pages 356-362, May.
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    Cited by:

    1. Mika Kortelainen & Timo Kuosmanen, 2007. "Eco-efficiency analysis of consumer durables using absolute shadow prices," Journal of Productivity Analysis, Springer, vol. 28(1), pages 57-69, October.
    2. Kuosmanen, Timo & Bijsterbosch, Neil & Dellink, Rob, 2009. "Environmental cost-benefit analysis of alternative timing strategies in greenhouse gas abatement: A data envelopment analysis approach," Ecological Economics, Elsevier, vol. 68(6), pages 1633-1642, April.
    3. Kuosmanen, Timo & Kortelainen, Mika & Sipiläinen, Timo & Cherchye, Laurens, 2010. "Firm and industry level profit efficiency analysis using absolute and uniform shadow prices," European Journal of Operational Research, Elsevier, vol. 202(2), pages 584-594, April.
    4. Timo Kuosmanen & Mika Kortelainen & Timo Sipiläinen & Laurens Cherchye, 2005. "Firm and Industry Level Profit Efficiency Analysis Under Incomplete Price Data: A Nonparametric Approach based on Absolute and Uniform Shadow Prices," Microeconomics 0509011, EconWPA.

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