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dc.contributor.authorTatham, Peter
dc.contributor.authorTooloo, M
dc.contributor.authorMahdiloo, M
dc.contributor.authorJafarzdeh, A
dc.contributor.authorSaen, R
dc.date.accessioned2019-06-18T12:31:17Z
dc.date.available2019-06-18T12:31:17Z
dc.date.issued2018
dc.identifier.issn0377-2217
dc.identifier.doi10.1016/j.ejor.2018.01.008
dc.identifier.urihttp://hdl.handle.net/10072/380078
dc.description.abstractThis paper develops a relationship between two linear and nonlinear data envelopment analysis (DEA) models which have previously been developed for the joint measurement of the efficiency and effectiveness of decision making units (DMUs). It will be shown that a DMU is overall efficient by the nonlinear model if and only if it is overall efficient by the linear model. We will compare these two models and demonstrate that the linear model is an efficient alternative algorithm for the nonlinear model. We will also show that the linear model is more computationally efficient than the nonlinear model, it does not have the potential estimation error of the heuristic search procedure used in the nonlinear model, and it determines global optimum solutions rather than the local optimum. Using 11 different data sets from published papers and also 1000 simulated sets of data, we will explore and compare these two models. Using the data set that is most frequently used in the published papers, it is shown that the nonlinear model with a step size equal to 0.00001, requires running 1,955,573 linear programs (LPs) to measure the efficiency of 24 DMUs compared to only 24 LPs required for the linear model. Similarly, for a very small data set which consists of only 5 DMUs, the nonlinear model requires running 7861 LPs with step size equal to 0.0001, whereas the linear model needs just 5 LPs.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.publisher.placeNetherlands
dc.relation.ispartofpagefrom255
dc.relation.ispartofpageto267
dc.relation.ispartofissue1
dc.relation.ispartofjournalEuropean Journal of Operational Research
dc.relation.ispartofvolume268
dc.subject.fieldofresearchBusiness systems in context
dc.subject.fieldofresearchHuman resources and industrial relations
dc.subject.fieldofresearchStrategy, management and organisational behaviour
dc.subject.fieldofresearchInternational business
dc.subject.fieldofresearchcode3503
dc.subject.fieldofresearchcode3505
dc.subject.fieldofresearchcode3507
dc.subject.fieldofresearchcode350706
dc.titleIntegrated data envelopment analysis: Linear vs. nonlinear model
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dcterms.licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.description.versionAccepted Manuscript (AM)
gro.facultyGriffith Business School, Department of International Business and Asian Studies
gro.rights.copyright© 2018 Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence (http://creativecommons.org/licenses/by-nc-nd/4.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.
gro.hasfulltextFull Text
gro.griffith.authorDuong, Thach-Thao Nguyen N.
gro.griffith.authorTatham, Peter H.
gro.griffith.authorMahdiloo, Mahdi


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