Identification of strong and weak hyperplanes in data envelopment analysisĪDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iranī Department of Mathematics, Mobarakeh Branch Islamic Azad University, Mobarakeh, Isfahan, Iran. International Conference on Innovation, Management and Technology Research, Malaysia, 22 - 23 September, 2013 Procedía - Social and Behavioral Sciences 129 (2014) 365 - 371 Moreover, the characterization of the stability region preserving the RTS classification and efficiency classification is an arguable issue which is easily obtained by strong defining hyperplanes. This paper aims at obtaining all the defining hyperplanes of the PPS. In this study, it is shown that the strong (weak) defining hyperplane is supporting and there exists, at least, one affine independent set with m + s elements of extreme efficient DMUs (extreme efficient and weak efficient virtual DMUs) where m and s are the number of inputs and outputs, respectively. Clearly, if the optimal solutions of the envelopment form for extreme efficient DMUs are degenerate, the multiplier form may have alternative optimal solutions which yield various supporting hyperplanes at the PPS. The concept of strong defining hyperplanes is useful in dealing with the status of returns to scale (RTS), sensitivity and stability analysis and so on. Gheleyj Beigiįinding of the strong and weak) defining hyperplanes of the production possibility set (PPS) is an important subject in data envelopment analysis (DEA). Abstract of research paper on Materials engineering, author of scientific article - N.
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