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dc.contributor.advisorTatham, Peter
dc.contributor.authorMahdiloo, Mahdien_US
dc.date.accessioned2018-01-23T02:28:39Z
dc.date.available2018-01-23T02:28:39Z
dc.date.issued2016en_US
dc.identifier.urihttp://hdl.handle.net/10072/366337
dc.description.abstractThis dissertation explores a special class of the performance measurement problem where the overall performance is defined as the sum or arithmetic mean of two or more ratios (fractions). The problem is investigated with its links to the sum of linear ratios (SLR) problem in optimization theory, and a solution procedure based on linear goal programming (GP) is developed. The developed GP model is applied in three main areas of (i) the joint measurement of efficiency and effectiveness, (ii) the joint measurement of the technical efficiency and ecological efficiency, and (iii) the joint measurement of the efficiencies of the stages 1 and 2 of a two-stage process or activity. These three problems require simultaneous optimization of two linear ratios and can be defined as the maximization of the sum of two ratios. Unlike the traditional data envelopment analysis (DEA) models with only one efficiency ratio in the objective function, the problems investigated in this thesis do not belong to the class of quasiconvex optimization problems, and they also cannot be converted into linear models using the Charnes–Cooper transformation approach. Furthermore, optimizing the sum of linear ratios is a challenging problem, since several local optima might exist and obtaining a global optimal solution is not always guaranteed.en_US
dc.languageEnglishen_US
dc.publisherGriffith Universityen_US
dc.publisher.placeBrisbaneen_US
dc.rights.copyrightThe author owns the copyright in this thesis, unless stated otherwise.en_US
dc.subject.keywordsPerformance measurementen_US
dc.subject.keywordsSum of linear ratios problemen_US
dc.subject.keywordsData envelopment analysisen_US
dc.subject.keywordsCharnes–Cooper transformation approachen_US
dc.titleEfficiency Evaluation Using Data Envelopment Analysis by Modelling the Sum of Linear Ratiosen_US
dc.typeGriffith thesisen_US
dc.date.embargoEnd2019-04-21en_US
gro.facultyGriffith Business Schoolen_US
gro.rights.copyrightThe author owns the copyright in this thesis, unless stated otherwise.
gro.hasfulltextFull Text
dc.contributor.otheradvisorSaen, Reza Farzipoor
dc.contributor.otheradvisorWu, Yong
dc.rights.accessRightsRestricted (for period of time)en_US
gro.identifier.gurtIDgu1494986028873en_US
gro.thesis.degreelevelThesis (PhD Doctorate)en_US
gro.thesis.degreeprogramDoctor of Philosophy (PhD)en_US
gro.departmentGriffith Business Schoolen_US
gro.griffith.authorMahdiloo, Mahdi


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