-red algorithm is genetic, because the other algorithms can be regarded as special instances. This is shown using the same duality. …Several algorithms for the minimum spanning tree are known. The Blue-red algorithm is a generic algorithm in this field …. A new proof for this algorithm is presented, based upon the duality of circuits and cuts in a graph. The Blue …

convex cone. In the first half of the paper, we give a detailed study of duality properties of this problem and present … the duality properties of the problem. In the second half of the paper, we propose a self-dual embedding with the … case of strong duality, these objective values in fact converge to the optimal value of the original problem. When the …

This paper presents a unified study of duality properties for the problem of minimizing a linear function over the … intersection of an affine space with a convex cone in finite dimension. Existing duality results are carefully surveyed and some … new duality properties are established. Examples are given to illustrate these new properties. The topics covered in this …

to the development of the duality formulas of convex calculus. This is done by means of one single method: firstly conify … definitions of convex objects, duality operators, binary operations and duality formulas, all without the usual need to exclude … degenerate situations. The duality operator for convex function agrees with the usual one, the Legendre-Fenchel transform, only …

This paper attempts to extend the notion of duality for convex cones, by basing it on a predescribed conic ordering and …-product itself is replaced by a general multi-dimensional bilinear mapping. This new type of duality is termed the D-induced duality … cones and are convenient to use for some practical applications. Properties of the extended duality, including the extended …

We consider the classical duality operators for convex objects such as the polar of a convex set containing the origin … other duality operators of convex objects. …

This paper attempts to extend the notion of duality for convex cones, by basing it on a predescribed conic ordering and …-product itself is replaced by a general multi-dimensional bilinear mapping. This new type of duality is termed the D-induced duality … in the paper. Basic properties of the extended duality, including the extended bi-polar theorem, are proven. Examples are …

optimization methods for two-mode clustering. Several known algorithms are discussed and a new, fuzzy algorithm is introduced. The … meta-heuristics Multistart, Simulated Annealing, and Tabu Search are used in combination with these algorithms. The new …

algorithms for the problem. Specifically, we provide algorithms for the general lot-sizing problem with bounded inventory and …