Robust optimization and its duality in data envelopment analysis

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F22%3A10248366" target="_blank" >RIV/61989100:27510/22:10248366 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.omega.2021.102583" target="_blank" >https://doi.org/10.1016/j.omega.2021.102583</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.omega.2021.102583" target="_blank" >10.1016/j.omega.2021.102583</a>

Result language

angličtina

Original language name

Robust optimization and its duality in data envelopment analysis

Original language description

Robust Data Envelopment Analysis (RDEA) is a DEA-based conservative approach used for modeling uncertainties in the input and output data of Decision-Making Units (DMUs) to guarantee stable and reliable performance evaluation. The RDEA models proposed in the literature apply robust optimization techniques to the linear and conventional DEA models which lead to the difficulty of obtaining a robust efficient DMU. To overcome this difficulty, this paper tackles uncertainty in DMUs from the original fractional DEA model. We propose a robust fractional DEA (RFDEA) model in both input and output orientation which enables us to overcome the deficiency of existing RDEA models. The linearized models of the fractional DEA are further used to establish duality relations from a pessimistic and optimistic view of the data. We show that the primal worst of the multiplier model is equivalent to the dual best of the envelopment model. Furthermore, we show that the robust efficiency in the input- and output-oriented DEA models are still equivalent in the new approach which is not the case in conventional RDEA models. We finally present a study of the largest airports in Europe to illustrate the efficacy of the proposed models. The proposed RDEA is found to provide an effective management evaluation strategy under uncertain environments.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

50202 - Applied Economics, Econometrics

Project

<a href="/en/project/GA19-13946S" target="_blank" >GA19-13946S: Performance evaluation in the presence of unclassified factors</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Omega

ISSN

0305-0483

e-ISSN

1873-5274

Volume of the periodical

108

Issue of the periodical within the volume

April

Country of publishing house

GB - UNITED KINGDOM

Number of pages

22

Pages from-to

"Article Number 102583"

UT code for WoS article

000788093800006

EID of the result in the Scopus database

2-s2.0-85121922932