City Research Online

A unified approach to radial, hyperbolic, and directional efficiency measurement in Data Envelopment Analysis

Halická, M., Trnovská, M. & Černý, A. ORCID: 0000-0001-5583-6516 (2024). A unified approach to radial, hyperbolic, and directional efficiency measurement in Data Envelopment Analysis. European Journal of Operational Research, 312(1), pp. 298-314. doi: 10.1016/j.ejor.2023.06.039


The paper analyzes properties of a large class of "path-based" Data Envelopment Analysis models through a unifying general scheme, which includes as standard the well-known oriented radial models, the hyperbolic distance measure model, and the directional distance measure models. The scheme also accommodates variants of standard models over negative data. Path-based models are analyzed from the point of view of nine desired properties that a well-designed model should satisfy. The paper develops mathematical tools that allow systematic investigation of these properties in the general scheme including, but not limited to, the standard path-based models. Among other results, the analysis confirms the generally accepted view that path-based models need not generate Pareto--Koopmans efficient projections, one-to-one identification, or strict monotonicity.

Publication Type: Article
Additional Information: © 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publisher Keywords: Data envelopment analysis, Radial efficiency measures, Hyperbolic distance function, Directional distance function, Negative data
Subjects: H Social Sciences > HG Finance
Q Science > QA Mathematics
Departments: Bayes Business School > Finance
SWORD Depositor:
[thumbnail of R1.pdf] Text - Accepted Version
This document is not freely accessible until 28 June 2025 due to copyright restrictions.
Available under License Creative Commons Attribution Non-commercial No Derivatives.

To request a copy, please use the button below.

Request a copy


Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login