Title: Value-based data envelopment analysis: a piece-wise linear programming approach

Authors: Dimitris K. Despotis; Dimitris Sotiros

Addresses: Department of Informatics, University of Piraeus, 80, Karaoli and Dimitriou, 18534, Piraeus, Greece ' Department of Informatics, University of Piraeus, 80, Karaoli and Dimitriou, 18534, Piraeus, Greece

Abstract: Incorporating value judgments in data envelopment analysis (DEA) is a broad methodological framework that facilitates driving the efficiency assessments in line with individual preferences. Value-based DEA is a recent development that resorts to value assessment protocols from multiple criteria decision analysis (MCDA) to transform the original input/output data to a value scale. In this context, we introduce in this paper a piece-wise linear programming approach to value-based DEA, by employing a data transformation-variable alteration technique and assurance region constraints. We outline our approach by revisiting a previous efficiency assessment study drawn from the literature.

Keywords: data envelopment analysis; piece-wise linear programming; value-based DEA; value judgments; value assessment; multicriteria decision analysis; MCDA; efficiency assessment.

DOI: 10.1504/IJMCDM.2014.059963

International Journal of Multicriteria Decision Making, 2014 Vol.4 No.1, pp.47 - 68

Received: 27 Sep 2012
Accepted: 09 Jan 2013

Published online: 17 May 2014 *

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