It is known that convex programming problems with separable inequality constraints do not have duality gaps. However, strong duality may fail for these programs because the dual programs may not attain their maximum. In this paper, we establish conditions characterizing strong duality for convex...

A method is presented for impact evaluation of dams/sluices on their downstream aquatic ecosystems in the absence of detailed long-sequence ecology ecosystem data. It is based on the analysis of relations between indices of water quality and aquatic organisms. It can be applied to a river...

In this paper we present necessary conditions for global optimality for polynomial problems with box or bivalent constraints using separable polynomial relaxations. We achieve this by first deriving a numerically checkable characterization of global optimality for separable polynomial problems...

In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula for the radius of robust feasibility guaranteeing constraint feasibility for all possible scenarios within a...

A brief review of the mode coupling theory of the liquid-glass transition is presented. The major experimental techniques that have been used to test its predictions are described. The results of these tests for five glass-forming materials are summarized along with a brief discussion of other...

In this paper we examine non-convex quadratic optimization problems over a quadratic constraint under unknown but bounded interval perturbation of problem data in the constraint and develop criteria for characterizing robust (i.e. uncertainty-immunized) global solutions of classes of non-convex...

Light scattering experiments were performed on several fragile glass-forming materials at temperatures ranging from above the melting temperature Tm to below the calorimetric glass transition temperature Tg in the frequency range 0.2 GHz to 4000 GHz. The experimental susceptibility spectra...