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1188. Multiplier form of path-based DEA models and returns-to-scale measurement
Invited abstract in session WD-48: DEA methodological developments II, stream Data Envelopment Analysis and its Application.
Wednesday, 14:30-16:00Room: 60 (building: 324)
Authors (first author is the speaker)
| 1. | Maria Trnovska
|
| Dpt. of applied mathematics and statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava |
Abstract
Path-based models represent a large class of DEA models in which the
efficiency score and projection point are derived using a path running
from the assessed unit to the boundary of the technology set.
The class includes the input and output-oriented radial models, the
directional distance measure and the hyperbolic distance measure
models as special cases. The particular models fit a general envelopment scheme that allows to derive its dual (multiplier) form, and to analyze the primal-dual properties for the whole class of models. Based on this primal-dual relationship, we describe a two-way connection
between the supporting hyper-planes of the technology set and the
optimal solutions of the multiplier model and utilize it in the
returns-to-scale measurement. We analyze and compare different approaches to the returns-to-scale measurement, depending on whether the supporting hyper-planes contain the (not necessarily strongly efficient) projection point or only strongly efficient benchmarks. The results are demonstrated in numerical examples.
Keywords
- Data Envelopment Analysis
- Convex Optimization
Status: accepted
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