Multiobjective data envelopment analysis

Data envelopment analysis (DEA) is popularly used to evaluate relative efficiency among public or private firms. Most DEA models are established by individually maximizing each firm’s efficiency according to its advantageous expectation by a ratio. Some scholars have pointed out the interesting re...

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Main Authors:	Chen, Y-W, Larbani, Moussa, Chang, Y-P
Format:	Article
Language:	English
Published:	Palgrave Macmillan 2009
Subjects:	HB131 Methodology.Mathematical economics. Quantitative methods
Online Access:	http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/1/JORS_DEA_Published.pdf

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spelling	iium-134812012-01-08T09:53:16Z http://irep.iium.edu.my/13481/ Multiobjective data envelopment analysis Chen, Y-W Larbani, Moussa Chang, Y-P HB131 Methodology.Mathematical economics. Quantitative methods Data envelopment analysis (DEA) is popularly used to evaluate relative efficiency among public or private firms. Most DEA models are established by individually maximizing each firm’s efficiency according to its advantageous expectation by a ratio. Some scholars have pointed out the interesting relationship between the multiobjective linear programming (MOLP) problem and the DEA problem. They also introduced the common weight approach to DEA based on MOLP. This paper proposes a new linear programming problem for computing the efficiency of a decision-making unit (DMU). The proposed model differs from traditional and existing multiobjective DEA models in that its objective function is the difference between inputs and outputs instead of the outputs/inputs ratio. Then an MOLP problem, based on the introduced linear programming problem, is formulated for the computation of common weights for all DMUs. To be precise, the modified Chebychev distance and the ideal point of MOLP are used to generate common weights. The dual problem of this model is also investigated. Finally, this study presents an actual case study analysing R&D efficiency of 10 TFT-LCD companies in Taiwan to illustrate this new approach. Our model demonstrates better performance than the traditional DEA model as well as some of the most important existing multiobjective DEA models. Palgrave Macmillan 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13481/1/JORS_DEA_Published.pdf Chen, Y-W and Larbani, Moussa and Chang, Y-P (2009) Multiobjective data envelopment analysis. Journal of Operations Research Society, 60. 1556 -1566. ISSN 0160-5682 http://www.palgrave-journals.com/jors/journal/v60/n11/full/jors200992a.html 10.1057/jors.2009.92
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	HB131 Methodology.Mathematical economics. Quantitative methods
spellingShingle	HB131 Methodology.Mathematical economics. Quantitative methods Chen, Y-W Larbani, Moussa Chang, Y-P Multiobjective data envelopment analysis
description	Data envelopment analysis (DEA) is popularly used to evaluate relative efficiency among public or private firms. Most DEA models are established by individually maximizing each firm’s efficiency according to its advantageous expectation by a ratio. Some scholars have pointed out the interesting relationship between the multiobjective linear programming (MOLP) problem and the DEA problem. They also introduced the common weight approach to DEA based on MOLP. This paper proposes a new linear programming problem for computing the efficiency of a decision-making unit (DMU). The proposed model differs from traditional and existing multiobjective DEA models in that its objective function is the difference between inputs and outputs instead of the outputs/inputs ratio. Then an MOLP problem, based on the introduced linear programming problem, is formulated for the computation of common weights for all DMUs. To be precise, the modified Chebychev distance and the ideal point of MOLP are used to generate common weights. The dual problem of this model is also investigated. Finally, this study presents an actual case study analysing R&D efficiency of 10 TFT-LCD companies in Taiwan to illustrate this new approach. Our model demonstrates better performance than the traditional DEA model as well as some of the most important existing multiobjective DEA models.
format	Article
author	Chen, Y-W Larbani, Moussa Chang, Y-P
author_facet	Chen, Y-W Larbani, Moussa Chang, Y-P
author_sort	Chen, Y-W
title	Multiobjective data envelopment analysis
title_short	Multiobjective data envelopment analysis
title_full	Multiobjective data envelopment analysis
title_fullStr	Multiobjective data envelopment analysis
title_full_unstemmed	Multiobjective data envelopment analysis
title_sort	multiobjective data envelopment analysis
publisher	Palgrave Macmillan
publishDate	2009
url	http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/ http://irep.iium.edu.my/13481/1/JORS_DEA_Published.pdf
first_indexed	2023-09-18T20:22:39Z
last_indexed	2023-09-18T20:22:39Z
_version_	1777408210190204928

Multiobjective data envelopment analysis

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