DEA with a Perfect Object: Analytical Solutions

Authors

  • Alexander Vaninsky Mathematics Department, Hostos Community College of The City University of New York, 500 Grand Concourse, Room B409, Bronx, NY 10451

DOI:

https://doi.org/10.26713/cma.v2i1.127

Keywords:

Data Envelopment Analysis, Analytical solutions, Perfect DEA Object

Abstract

For the main DEA models, adding a Perfect Object --- that is, a virtual object that has the smallest inputs and greatest outputs --- to a collection of actual objects permits obtaining solutions analytically. The paper derives formulas for the solutions and demonstrates that computations with them comprise simple operations with ratios of inputs and outputs while avoiding the use of linear programming (LP) algorithms. A numerical example illustrates the utility of the approach.

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CITATION

How to Cite

Vaninsky, A. (2011). DEA with a Perfect Object: Analytical Solutions. Communications in Mathematics and Applications, 2(1), 1–13. https://doi.org/10.26713/cma.v2i1.127

Issue

Vol. 2 No. 1 (2011)

Section

Research Article

License

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