one of the important issues in data envelopment analysis (dea) is sensitivity analysis. heretofore the existent studies have considered the data modification of inputs and outputs in one or multiple dmus. in this paper the number of dmus is increased and a stability region is obtained in  by applying defining hyperplanes in which if the added dmu (only one dmu) is in this region then all of the...

Abstract A simple geometric mechanism: ‘the locus of intersections perpendicular bisectors and normal lines’, often arises in many guises nonlinear sciences. In this paper, a new application mechanism is given. Namely, we show that gives answers to all four basic problems on envelopes created by hyperplane families (existence problem, representation equivalence problem definitions, uniqueness p...

L1 norm discrimination consists in finding the hyperplane that minimizes the sum of L1 norm distances between the hyperplane and the points that lie on the wrong side of the hyperplane. This problem is difficult for datasets containing more than 100,000 points. Since few points are needed to obtain the optimal hyperplane, we propose a point selection algorithm which iteratively adds the necessa...