Frontiers in Global Optimization / Edition 1

Frontiers in Global Optimization / Edition 1

by Christodoulos A. Floudas
     
 

ISBN-10: 1402076991

ISBN-13: 9781402076992

Pub. Date: 11/30/2003

Publisher: Springer US

Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural

Overview

Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. 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. Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. 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.

Product Details

ISBN-13:
9781402076992
Publisher:
Springer US
Publication date:
11/30/2003
Series:
Nonconvex Optimization and Its Applications (closed) Series, #74
Edition description:
2003
Pages:
598
Product dimensions:
6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamics.- Exact solution of three nonconvex quadratic programming problems.- Global Optimization of Bioprocesses using Shastic 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 shastic 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.

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