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Frontiers in Global Optimization : Nonconvex Optimization and Its Applications - Christodoulos A. Floudas

Frontiers in Global Optimization

Nonconvex Optimization and Its Applications


Published: 30th November 2003
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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. This book contains refereed invited papers submitted at the 4th international confer- ence on Frontiers in Global Optimization held at Santorini, Greece during June 8-12, 2003. Santorini is one of the few sites of Greece, with wild beauty created by the explosion of a volcano which is in the middle of the gulf of the island. The mystic landscape with its numerous mult-extrema, was an inspiring location particularly for researchers working on global optimization. The three previous conferences on "Recent Advances in Global Opti- mization", "State-of-the-Art in Global Optimization", and "Optimization in Computational Chemistry and Molecular Biology: Local and Global approaches" took place at Princeton University in 1991, 1995, and 1999, respectively. The papers in this volume focus on de- terministic methods for global optimization, stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimiza- tion in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics.

Prefacep. ix
A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamicsp. 1
Exact solution of three nonconvex quadratic programming problemsp. 25
Global Optimization of Bioprocesses using Stochastic and Hybrid Methodsp. 45
Computational Experiments with an Adaptive Genetic Algorithm for Global Minimization of Potential Energy Functionsp. 71
A New Approach in Deterministic Global Optimisation of Problems with Ordinary Differential Equationsp. 83
Global Optimization of Homogeneous Polynomials on the Simplex and on the Spherep. 109
Exact parallel algorithms for the location depth and the maximum feasible subsystem problemsp. 123
An Improved Method for the Computation of Affine Lower Bound Functions for Polynomialsp. 135
Implementation and Testing of a Branch-and-Bound Based Method for Deterministic Global Optimization: Operations Research Applicationsp. 145
MINLP Optimization Using Simplicial Approximation Method for Classes of Non-Convex Problemsp. 165
A General Framework for Constructing Cooperative Global Optimization Algorithmsp. 197
Constrained Global Optimization: Adaptive Gradient Flowsp. 223
Exact Computation of Global Minima of a Nonconvex Portfolio Optimization Problemp. 237
Global Reliability-Based Design Optimizationp. 255
Reducing the Cost of Evaluation of the Gradient and Hessian of Molecular Potential Energy Functionsp. 275
Global Dynamic Optimization of Linear Hybrid Systemsp. 289
AMIGO: Advanced Multidimensional Interval analysis Global Optimizationp. 313
Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopesp. 327
Analysis of Nonconvex Polynomial Programs by the Method of Momentsp. 353
The Steiner Ratio and the Homochirality of Biomacromolecular Structuresp. 373
A Multi Dimensional Assignment Formulation For New Product Development Problemsp. 391
Quasiconvexity, Fractional Programming and Extremal Traffic Congestionp. 403
Optimal Solution of Integer Multicommodity Flow Problems With Application in Optical Networksp. 411
Pre-search Screening: A Technique to Improve Search Efficiency in Global Optimizationp. 437
Global Optimization of Bilevel Programming Problems via Parametric Programmingp. 457
Global Solution of Optimization Problems with Dynamic Systems Embeddedp. 477
A multi-start methodology for constrained global optimization using novel constrained local optimizersp. 499
Representation and numerical determination of the global optimizer of a continuous function on a bounded domainp. 517
Global Optimization under nonlinear restrictions by using stochastic perturbations of the projected gradientp. 541
On the Existence of Polyhedral Convex Envelopesp. 563
Optimal Selection of the Regression Kernel Matrix with Semidefinite Programmingp. 575
Termination Criteria in the Moore-Skelboe Algorithm for Global Optimization by Interval Arithmeticp. 585
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9781402076992
ISBN-10: 1402076991
Series: Nonconvex Optimization and Its Applications
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 598
Published: 30th November 2003
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.2
Weight (kg): 2.27