Nonconvex Optimization and Its Applications

A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamics.- Exact solution of three nonconvex quadratic programming problems.- Global Optimization of Bioprocesses using Stochastic and Hybrid Methods.- Computational Experiments with an Adaptive Genetic Algorithm for Global Minimization of Potential Energy Functions.- A New Approach in Deterministic Global Optimisation of Problems with Ordinary Differential Equations.- Global Optimization of Homogeneous Polynomials on the Simplex and on the Sphere.- Exact parallel algorithms for the location depth and the maximum feasible subsystem problems.- An Improved Method for the Computation of Affine Lower Bound Functions for Polynomials.- Implementation and Testing of a Branch-and-Bound Based Method for Deterministic Global Optimization: Operations Research Applications.- MINLP Optimization Using Simplicial Approximation Method for Classes of Non-Convex Problems.- A General Framework for Constructing Cooperative Global Optimization Algorithms.- Constrained Global Optimization Adaptive Gradient Flows.- Exact Computation of Global Minima of a Nonconvex Portfolio Optimization Problem.- Global Reliability-Based Design Optimization.- Reducing the Cost of Evaluation of the Gradient and Hessian of Molecular Potential Energy Functions.- Global Dynamic Optimization of Linear Hybrid Systems.- AMIGO: Advanced Multidimensional Interval analysis Global Optimization.- Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopes.- Analysis of Nonconvex Polynomial Programs by the Method of Moments.- The Steiner Ratio and the Homochirality of Biomacromolecular Structures.- A Multi Dimensional Assignment Formulation For New Product Development Problems.- Quasiconvexity, Fractional Programming and Extremal Traffic Congestion.- Optimal Solution of Integer Multicommodity Flow Problems With Application in Optical Networks.- Pre-search Screening: A Technique to Improve Search Efficiency in Global Optimization.- Global Optimization of Bilevel Programming Problems via Parametric Programming.- Global Solution of Optimization Problems with Dynamic Systems Embedded.- A multi-start methodology for constrained global optimization using novel constrained local optimizers.- Representation and numerical determination of the global optimizer of a continuous function on a bounded domain.- Global Optimization under nonlinear restrictions by using stochastic perturbations of the projected gradient.- On the Existence of Polyhedral Convex Envelopes.- Optimal Selection of the Regression Kernel Matrix with Semidefinite Programming.- Termination Criteria in the Moore-Skelboe Algorithm for Global Optimization by Interval Arithmetic.