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A semi-infinite programming model in data envelopment analysis

Title data

Jess, Andreas ; Jongen, H. Th. ; Neralić, Luka ; Stein, Oliver:
A semi-infinite programming model in data envelopment analysis.
In: Optimization. Vol. 49 (2001) Issue 4 . - pp. 369-385.
ISSN 0323-3898
DOI: https://doi.org/10.1080/02331930108844538

Official URL: Volltext

Abstract in another language

We consider a model for data envelopment analysis with infinitely many decision-making units. The determination of the relative efficiency of a given decision-making unit amounts to the solution of a semi-infinite optimization problem. We show that a decision-making unit of maximal relative efficiency exists and that it is 100% efficient. Moreover, this decision-making unit can be found by calculating a zero of the semi-infinite constraint function. For the latter task we propose a bi-level algorithm. We apply this algorithm to a problem from chemical engineering and present numerical results.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Data Envelopment Analysis; Multi-Objective Programming; Semi-Infinite Programming; Bi-Level Optimization; Chemical Engineering; Pareto Efficiency
Institutions of the University: Faculties > Faculty of Engineering Science
Faculties > Faculty of Engineering Science > Chair Chemical Engineering
Faculties > Faculty of Engineering Science > Chair Chemical Engineering > Chair Chemical Engineering - Univ.-Prof. Dr.-Ing. Andreas Jess
Faculties
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 540 Chemistry
600 Technology, medicine, applied sciences > 600 Technology
600 Technology, medicine, applied sciences > 620 Engineering
600 Technology, medicine, applied sciences > 660 Chemical engineering
Date Deposited: 06 May 2015 06:32
Last Modified: 06 May 2015 06:32
URI: https://eref.uni-bayreuth.de/id/eprint/12704