Frontiers in Global Optimization / Edition 1

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The chapters in this volume focus on recent deterministic methods and stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimization in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics. This volume is addressed to faculty, students, and researchers in optimization, engineering, computer science and applied mathematics.
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Table of Contents

A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamics 1
Exact solution of three nonconvex quadratic programming problems 25
Global Optimization of Bioprocesses using Stochastic and Hybrid Methods 45
Computational Experiments with an Adaptive Genetic Algorithm for Global Minimization of Potential Energy Functions 71
A New Approach in Deterministic Global Optimisation of Problems with Ordinary Differential Equations 83
Global Optimization of Homogeneous Polynomials on the Simplex and on the Sphere 109
Exact parallel algorithms for the location depth and the maximum feasible subsystem problems 123
An Improved Method for the Computation of Affine Lower Bound Functions for Polynomials 135
Implementation and Testing of a Branch-and-Bound Based Method for Deterministic Global Optimization: Operations Research Applications 145
MINLP Optimization Using Simplicial Approximation Method for Classes of Non-Convex Problems 165
A General Framework for Constructing Cooperative Global Optimization Algorithms 197
Constrained Global Optimization: Adaptive Gradient Flows 223
Exact Computation of Global Minima of a Nonconvex Portfolio Optimization Problem 237
Global Reliability-Based Design Optimization 255
Reducing the Cost of Evaluation of the Gradient and Hessian of Molecular Potential Energy Functions 275
Global Dynamic Optimization of Linear Hybrid System 289
AMIGO: Advanced Multidimensional Interval analysis Global Optimization 313
Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopes 327
Analysis of Nonconvex Polynomial Programs by the Method of Moments 353
The Steiner Ratio and the Homochirality of Biomacromolecular Structures 373
A Multi Dimensional Assignment Formulation For New Product Development Problems 391
Quasiconvexity, Fractional Programming and Extremal Traffic Congestion 403
Optimal Solution of Integer Multicommodity Flow Problems With Application in Optical Networks 411
Pre-search Screening: A Technique to Improve Search Efficiency in Global Optimization 437
Global Optimization of Bilevel Programming Problems via Parametric Programing 457
Global Solution of Optimization Problems with Dynamic Systems Embedded 477
A multi-start methodology for constrained global optimization using novel constrained local optimizers 499
Representation and numerical determination of the global optimizer of a continuous function on a bounded domain 517
Global Optimization under nonlinear restrictions by using stochastic perturbations of the projected gradient 541
On the Existence of Polyhedral Convex Envelopes 563
Optimal Selection of the Regression Kernel Matrix with Semidefinite Programming 575
Termination Criteria in the Moore-Skelboe Algorithm for Global Optimization by Interval Arithmetic 585
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