In this paper the authors study special barrier functions for the convex cones, which are the sum of a self-concordant barrier for the cone and a positive-semidefinite quadratric form.

This paper derives a universal approximation result for theminimum fuzzy implication rule as well as a differentiable substitute function that allows fast optimization and function approximation with neuro-fuzzy networks.

Planning languages and spreadsheet systems are very popular, and the number of new users is increasing dramatically. On larger computers, IFPS, System W, and FCS-EPS are among the most widely used systems; while on personal computers, Multiplan and 1-2-3 enjoy great popularity. Currently, such...

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f k ∈C 3 (ℜ n,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic...

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f <Superscript>k</Superscript>∈C <Superscript>3</Superscript>(ℜ<Superscript>n</Superscript>,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic class...</superscript></superscript></superscript>

In a less widely known contribution, Béla Martos (1966, Hungarian Academy of Sciences) introduced a generalized notion of concavity that is closely related to what is nowadays known as r-concavity in the operations research literature, and that is identical to what is nowadays known as...

In this paper the issue of mathematical programming and optimization has being revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that...

This article presents a review of the state of the art of the Wind Farm Design and Optimization (WFDO) problem. The WFDO problem refers to a set of advanced planning actions needed to extremize the performance of wind farms, which may be composed of a few individual Wind Turbines (WTs) up to...