2195. Efficiency Measurement and Returns-to-Scale Analysis in Selective Slacks-Based Models
Invited abstract in session TA-60: DEA methodological developments II, stream Data Envelopment Analysis and its applications.
Tuesday, 8:30-10:00Room: Western LT
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 | |
| 2. | Margareta Halicka
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| Comenius University in Bratislava |
Abstract
In this contribution, we present a unified framework for selective slack-based models, where a specific subset of inputs and outputs is selected, and the corresponding slacks are incorporated into the efficiency measure to evaluate a unit. This framework encompasses standard graph slacks-based models, including the additive, range-adjusted, Russell measure, and SBM models, as well as their oriented versions. It is particularly useful when only certain inputs or outputs are subject to improvement, while others remain fixed due to external constraints such as regulatory limits or technological restrictions. We derive a general, economically interpretable multiplier form applicable to the entire class of models and leverage duality theory to establish connections between the optimal solutions of the dual problem and the supporting hyper-planes of the underlying technology set. Several returns-to-scale (RTS) techniques are closely tied to these supporting hyper-planes. We propose and compare RTS methods within the unified framework for the entire class of models. Additionally, we discuss the main advantages and disadvantages of the proposed methods, illustrating them with numerical examples.
Keywords
- Data Envelopment Analysis
Status: accepted
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