Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis

In this paper, we develop an integrated model for slacks- based measure (SBM) simultaneously of both the efficiency and the super-efficiency for decision-making units (DMUs) in data envelopment analysis (DEA). Unlike the traditional solution approaches in which we need to identify the efficient DMUs...

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Main Authors:	Tran, Trung Hieu, Mao, Yong, Nathanail, C. Paul, Siebers, Peer-Olaf, Robinson, Darren
Format:	Article
Language:	English
Published:	Elsevier 2018
Online Access:	http://eprints.nottingham.ac.uk/53093/ http://eprints.nottingham.ac.uk/53093/1/OneSupSBM_R1.pdf

id	nottingham-53093
recordtype	eprints
spelling	nottingham-530932018-07-27T09:45:22Z http://eprints.nottingham.ac.uk/53093/ Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis Tran, Trung Hieu Mao, Yong Nathanail, C. Paul Siebers, Peer-Olaf Robinson, Darren In this paper, we develop an integrated model for slacks- based measure (SBM) simultaneously of both the efficiency and the super-efficiency for decision-making units (DMUs) in data envelopment analysis (DEA). Unlike the traditional solution approaches in which we need to identify the efficient DMUs by the SBM model of Tone [20] before applying the super SBM model of Tone [21] for the DMUs to achieve their super-effciency scores, our integration can obtain the efficiency scores of the infficient DMUs and the super-efficiency scores of the efficient DMUs by solving simultaneously these two models by an onestage approach. Therefore, it may save computational time for large-scale practical applications. Due to the non-linearity in the objective function of this integrated model, we develop a linearisation technique to deal with the non-linear model. The numerical experiments, carried out on several examples in the literature and a case study, have demonstrated the accuracy and the computational time effectiveness of our proposed model as compared with the traditional solution approaches Elsevier 2018-06-22 Article PeerReviewed application/pdf en cc_by_nc_nd http://eprints.nottingham.ac.uk/53093/1/OneSupSBM_R1.pdf Tran, Trung Hieu and Mao, Yong and Nathanail, C. Paul and Siebers, Peer-Olaf and Robinson, Darren (2018) Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis. Omega . ISSN 0305-0483 (In Press)
repository_type	Digital Repository
institution_category	Local University
institution	University of Nottingham Malaysia Campus
building	Nottingham Research Data Repository
collection	Online Access
language	English
description	In this paper, we develop an integrated model for slacks- based measure (SBM) simultaneously of both the efficiency and the super-efficiency for decision-making units (DMUs) in data envelopment analysis (DEA). Unlike the traditional solution approaches in which we need to identify the efficient DMUs by the SBM model of Tone [20] before applying the super SBM model of Tone [21] for the DMUs to achieve their super-effciency scores, our integration can obtain the efficiency scores of the infficient DMUs and the super-efficiency scores of the efficient DMUs by solving simultaneously these two models by an onestage approach. Therefore, it may save computational time for large-scale practical applications. Due to the non-linearity in the objective function of this integrated model, we develop a linearisation technique to deal with the non-linear model. The numerical experiments, carried out on several examples in the literature and a case study, have demonstrated the accuracy and the computational time effectiveness of our proposed model as compared with the traditional solution approaches
format	Article
author	Tran, Trung Hieu Mao, Yong Nathanail, C. Paul Siebers, Peer-Olaf Robinson, Darren
spellingShingle	Tran, Trung Hieu Mao, Yong Nathanail, C. Paul Siebers, Peer-Olaf Robinson, Darren Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
author_facet	Tran, Trung Hieu Mao, Yong Nathanail, C. Paul Siebers, Peer-Olaf Robinson, Darren
author_sort	Tran, Trung Hieu
title	Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
title_short	Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
title_full	Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
title_fullStr	Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
title_full_unstemmed	Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis
title_sort	integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis
publisher	Elsevier
publishDate	2018
url	http://eprints.nottingham.ac.uk/53093/ http://eprints.nottingham.ac.uk/53093/1/OneSupSBM_R1.pdf
first_indexed	2018-09-06T14:31:20Z
last_indexed	2018-09-06T14:31:20Z
_version_	1610868882920177664

Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis

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