In the standard Data Envelopment Analysis (DEA), the strong disposability and convexity
axioms along with the variable/constant return to scale assumption provide a good
estimation of the production possibility set and the efficient frontier. However, when
data contains some or all measures represented by ratios, the standard DEA fails to
generate an accurate efficient frontier. This problem has been addressed by a number of
researchers and models have been proposed to solve the problem. This thesis proposes a
“Maximized Slack Model” as a second stage to an existing model. This work implements
a two phase modified model in MATLAB (since no existing DEA software can handle
ratios) and with this new tool, compares the results of our proposed model against the
results from two other standard DEA models for a real example with ratio and non-ratio
measures.
Then we propose different approaches to get a close approximation of the convex hull
of the production possibility set as well as the frontier when ratio variables are present
on the side of the desired orientation.
| Identifer | oai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/18875 |
| Date | 15 February 2010 |
| Creators | Sigaroudi, Sanaz |
| Contributors | Paradi, Joseph C. |
| Source Sets | University of Toronto |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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