this paper investigates a procedure for identifying all efficient hyperplanes of production possibility set (pps). this procedure is based on a method which recommended by pekka j. korhonen[8]. he offered using of lexicographic parametric programming method for recognizing all efficient units in data envelopment analysis (dea). in this paper we can find efficient hyperplanes, via using the para...

data envelopment analysis (dea) with considering the best condition for each decision making unit (dmu) assesses the relative efficiency for it and divides a homogenous group of dmus in to two categories: efficient and inefficient, but traditional dea models can not rank efficient dmus. although some models were introduced for ranking efficient dmus, franklin lio & hsuan peng (2008), proposed a...

A robust approach to solving linear optimization problems with uncertain data has been proposed in the early 1970s, and has recently been extensively studied and extended. Under this approach, we are willing to accept a suboptimal solution for the nominal values of the data, in order to ensure that the solution remains feasible and near optimal when the data changes. A concern with such an appr...

Data Envelopment Analysis (DEA) provides means for piecewise linear approximation of production functions. To improve the fit to the data we propose to improve the flexibility of the frontier by extending DEA towards a more general piecewise quadratic approximation, called Quadratic Data Envelopment Analysis (QDEA). In contrast to the linear approximation, the quadratic approximation allows for...

We present a framework for accurate and robust extraction of parametric models of different types. It includes a mechanism that lets each model type determine its domain of applicability. The framework is general in the sense that it can be described and implemented without specifying the following components: a domain of application, a particular type of data, a set of admissible model types, ...

This article deals with the robust stability analysis and passivity of uncertain discrete-time TakagiSugeno (T-S) fuzzy systems with time delays. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. A sufficient condition on the existence of robust passive controller is established based on the Lyapunov stability theory. With the help o...

6 Chance constraints and the choice of uncertainty sets 15 6.1 Value at risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 6.2 Safe convex approximations for chance constraints . . . . . . . . . . . . . . . 17 6.3 Tightest convex bounds and conditional value at risk . . . . . . . . . . . . . 18 6.4 Analytic approximation using moment generating functions . . . . . ....