Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment AnalysisTools Tran, Trung Hieu, Mao, Yong, Nathanail, C. Paul, Siebers, Peer-Olaf and Robinson, Darren (2018) Integrating Slacks-based Measure of Efficiency and Super-efficiency in Data Envelopment Analysis. Omega, 85 . pp. 156-165. ISSN 0305-0483 Full text not available from this repository.AbstractIn 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
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