Global Optimization In Action

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Global Optimization in Action

János D. Pintér
Global Optimization in Action Book PDF

Author : János D. Pintér
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 52,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475725025

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Global Optimization in Action by János D. Pintér Pdf

In science, engineering and economics, decision problems are frequently modelled by optimizing the value of a (primary) objective function under stated feasibility constraints. In many cases of practical relevance, the optimization problem structure does not warrant the global optimality of local solutions; hence, it is natural to search for the globally best solution(s). Global Optimization in Action provides a comprehensive discussion of adaptive partition strategies to solve global optimization problems under very general structural requirements. A unified approach to numerous known algorithms makes possible straightforward generalizations and extensions, leading to efficient computer-based implementations. A considerable part of the book is devoted to applications, including some generic problems from numerical analysis, and several case studies in environmental systems analysis and management. The book is essentially self-contained and is based on the author's research, in cooperation (on applications) with a number of colleagues. Audience: Professors, students, researchers and other professionals in the fields of operations research, management science, industrial and applied mathematics, computer science, engineering, economics and the environmental sciences.

Handbook of Global Optimization

Panos M. Pardalos,H. Edwin Romeijn
Handbook of Global Optimization Book PDF

Author : Panos M. Pardalos,H. Edwin Romeijn
Publisher : Springer Science & Business Media
Page : 571 pages
File Size : 51,6 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781475753622

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Handbook of Global Optimization by Panos M. Pardalos,H. Edwin Romeijn Pdf

In 1995 the Handbook of Global Optimization (first volume), edited by R. Horst, and P.M. Pardalos, was published. This second volume of the Handbook of Global Optimization is comprised of chapters dealing with modern approaches to global optimization, including different types of heuristics. Topics covered in the handbook include various metaheuristics, such as simulated annealing, genetic algorithms, neural networks, taboo search, shake-and-bake methods, and deformation methods. In addition, the book contains chapters on new exact stochastic and deterministic approaches to continuous and mixed-integer global optimization, such as stochastic adaptive search, two-phase methods, branch-and-bound methods with new relaxation and branching strategies, algorithms based on local optimization, and dynamical search. Finally, the book contains chapters on experimental analysis of algorithms and software, test problems, and applications.

Simplicial Global Optimization

Remigijus Paulavičius,Julius Žilinskas
Simplicial Global Optimization Book PDF

Author : Remigijus Paulavičius,Julius Žilinskas
Publisher : Springer Science & Business Media
Page : 146 pages
File Size : 45,6 Mb
Release : 2013-10-09
Category : Business & Economics
ISBN : 9781461490937

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Simplicial Global Optimization by Remigijus Paulavičius,Julius Žilinskas Pdf

Simplicial Global Optimization is centered on deterministic covering methods partitioning feasible region by simplices. This book looks into the advantages of simplicial partitioning in global optimization through applications where the search space may be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning. The authors provide an extensive experimental investigation and illustrates the impact of various bounds, types of subdivision, strategies of candidate selection on the performance of algorithms. A comparison of various Lipschitz bounds over simplices and an extension of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial partitioning is also depicted in this text. Applications benefiting from simplicial partitioning are examined in detail such as nonlinear least squares regression and pile placement optimization in grillage-type foundations. Researchers and engineers will benefit from simplicial partitioning algorithms such as Lipschitz branch and bound, Lipschitz optimization without the Lipschitz constant, heuristic partitioning presented. This book will leave readers inspired to develop simplicial versions of other algorithms for global optimization and even use other non-rectangular partitions for special applications.

Global Optimization

Leo Liberti,Nelson Maculan
Global Optimization Book PDF

Author : Leo Liberti,Nelson Maculan
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 54,5 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9780387305288

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Global Optimization by Leo Liberti,Nelson Maculan Pdf

Most global optimization literature focuses on theory. This book, however, contains descriptions of new implementations of general-purpose or problem-specific global optimization algorithms. It discusses existing software packages from which the entire community can learn. The contributors are experts in the discipline of actually getting global optimization to work, and the book provides a source of ideas for people needing to implement global optimization software.

Handbook of Global Optimization

R. Horst,Panos M. Pardalos
Handbook of Global Optimization Book PDF

Author : R. Horst,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 891 pages
File Size : 40,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781461520252

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Handbook of Global Optimization by R. Horst,Panos M. Pardalos Pdf

Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

Global Optimization

Leo Liberti,Nelson Maculan
Global Optimization Book PDF

Author : Leo Liberti,Nelson Maculan
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 46,8 Mb
Release : 2006-02-21
Category : Business & Economics
ISBN : 0387282602

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Global Optimization by Leo Liberti,Nelson Maculan Pdf

Most global optimization literature focuses on theory. This book, however, contains descriptions of new implementations of general-purpose or problem-specific global optimization algorithms. It discusses existing software packages from which the entire community can learn. The contributors are experts in the discipline of actually getting global optimization to work, and the book provides a source of ideas for people needing to implement global optimization software.

Stochastic Global Optimization

Anatoly Zhigljavsky,Antanasz Zilinskas
Stochastic Global Optimization Book PDF

Author : Anatoly Zhigljavsky,Antanasz Zilinskas
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 51,6 Mb
Release : 2007-11-20
Category : Mathematics
ISBN : 9780387747408

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Stochastic Global Optimization by Anatoly Zhigljavsky,Antanasz Zilinskas Pdf

This book examines the main methodological and theoretical developments in stochastic global optimization. It is designed to inspire readers to explore various stochastic methods of global optimization by clearly explaining the main methodological principles and features of the methods. Among the book’s features is a comprehensive study of probabilistic and statistical models underlying the stochastic optimization algorithms.

Models and Algorithms for Global Optimization

Aimo Törn,Julius Žilinskas
Models and Algorithms for Global Optimization Book PDF

Author : Aimo Törn,Julius Žilinskas
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 43,6 Mb
Release : 2007-04-08
Category : Mathematics
ISBN : 9780387367217

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Models and Algorithms for Global Optimization by Aimo Törn,Julius Žilinskas Pdf

The research of Antanas Zilinskas has focused on developing models for global optimization, implementing and investigating the corresponding algorithms, and applying those algorithms to practical problems. This volume, dedicated to Professor Zilinskas on the occasion of his 60th birthday, contains new survey papers in which leading researchers from the field present various models and algorithms for solving global optimization problems.

Global Optimization and Constraint Satisfaction

COCOS 200,Christian Bliek,Christophe Jermann,Arnold Neumaier
Global Optimization and Constraint Satisfaction Book PDF

Author : COCOS 200,Christian Bliek,Christophe Jermann,Arnold Neumaier
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 49,6 Mb
Release : 2003-11-05
Category : Business & Economics
ISBN : 9783540204633

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Global Optimization and Constraint Satisfaction by COCOS 200,Christian Bliek,Christophe Jermann,Arnold Neumaier Pdf

This book constitutes the thoroughly refereed post-proceedings of the First International Workshop on Global Constraints Optimization and Costraint Satisfaction, COCOS 2002, held in Valbonne-Sophia Antipolis, France in October 2002. The 15 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address current issues in global optimization, mathematical programming, and constraint programming; they are grouped in topical sections on optimization, constraint satisfaction, and benchmarking.

Frontiers in Global Optimization

Christodoulos A. Floudas,Panos M. Pardalos
Frontiers in Global Optimization Book PDF

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 42,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302513

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Frontiers in Global Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

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.

Introduction to Global Optimization

R. Horst,Panos M. Pardalos,Nguyen Van Thoai
Introduction to Global Optimization Book PDF

Author : R. Horst,Panos M. Pardalos,Nguyen Van Thoai
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 45,9 Mb
Release : 1995-06-30
Category : Mathematics
ISBN : 0792335562

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Introduction to Global Optimization by R. Horst,Panos M. Pardalos,Nguyen Van Thoai Pdf

Global optimization concerns the computation and characterization of global optima of nonlinear functions. Such problems are widespread in the mathematical modelling of real systems in a very wide range of applications and the last 30 years have seen the development of many new theoretical, algorithmic and computational contributions which have helped to solve globally multiextreme problems in important practical applications. Most of the existing books on optimization focus on the problem of computing locally optimal solutions. Introduction to Global Optimization, however, is a comprehensive textbook on constrained global optimization that covers the fundamentals of the subject, presenting much new material, including algorithms, applications and complexity results for quadratic programming, concave minimization, DC and Lipschitz problems, and nonlinear network flow. Each chapter contains illustrative examples and ends with carefully selected exercises, designed to help students grasp the material and enhance their knowledge of the methods involved. Audience: Students of mathematical programming, and all scientists, from whatever discipline, who need global optimization methods in such diverse areas as economic modelling, fixed charges, finance, networks and transportation, databases, chip design, image processing, nuclear and mechanical design, chemical engineering design and control, molecular biology, and environmental engineering.

Advances in Convex Analysis and Global Optimization

Constantin Carathéodory
Advances in Convex Analysis and Global Optimization Book PDF

Author : Constantin Carathéodory
Publisher : Springer Science & Business Media
Page : 630 pages
File Size : 51,8 Mb
Release : 2001-06-30
Category : Computers
ISBN : 0792369424

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Advances in Convex Analysis and Global Optimization by Constantin Carathéodory Pdf

There has been much recent progress in global optimization algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fundamental role in the analysis and development of global optimization algorithms. This is due to the fact that virtually all nonconvex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held June 5-9, 2000 at Pythagorian, Samos, Greece. It was in honor of the memory of C. Caratheodory (1873-1950). It was endorsed by the Mathematical Programming Society (MPS) and by the Society for industrial and Applied Mathematics (SIAN) Activity Group in Optimization. This volume contains a selection of refereed papers based on invited and contributing talks presented at the conference. The two themes of convexity and global optimization pervade the book. The conference provided a forum for researchers working on different aspects of convexity and global optimization to present their recent discoveries, and to interact with people working on complementary aspects of mathematical programming. Audience: Faculty, graduate students, and researchers in mathematical programming, computer science, and engineering.

Evolutionary Global Optimization, Manifolds and Applications

Hime Aguiar e Oliveira Junior
Evolutionary Global Optimization Manifolds and Applications Book PDF

Author : Hime Aguiar e Oliveira Junior
Publisher : Springer
Page : 137 pages
File Size : 54,5 Mb
Release : 2015-12-09
Category : Technology & Engineering
ISBN : 9783319264677

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Evolutionary Global Optimization, Manifolds and Applications by Hime Aguiar e Oliveira Junior Pdf

This book presents powerful techniques for solving global optimization problems on manifolds by means of evolutionary algorithms, and shows in practice how these techniques can be applied to solve real-world problems. It describes recent findings and well-known key facts in general and differential topology, revisiting them all in the context of application to current optimization problems. Special emphasis is put on game theory problems. Here, these problems are reformulated as constrained global optimization tasks and solved with the help of Fuzzy ASA. In addition, more abstract examples, including minimizations of well-known functions, are also included. Although the Fuzzy ASA approach has been chosen as the main optimizing paradigm, the book suggests that other metaheuristic methods could be used as well. Some of them are introduced, together with their advantages and disadvantages. Readers should possess some knowledge of linear algebra, and of basic concepts of numerical analysis and probability theory. Many necessary definitions and fundamental results are provided, with the formal mathematical requirements limited to a minimum, while the focus is kept firmly on continuous problems. The book offers a valuable resource for students, researchers and practitioners. It is suitable for university courses on optimization and for self-study.

Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing

Hime Aguiar e Oliveira Junior,Lester Ingber,Antonio Petraglia,Mariane Rembold Petraglia,Maria Augusta Soares Machado
Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing Book PDF

Author : Hime Aguiar e Oliveira Junior,Lester Ingber,Antonio Petraglia,Mariane Rembold Petraglia,Maria Augusta Soares Machado
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 40,7 Mb
Release : 2012-01-26
Category : Technology & Engineering
ISBN : 9783642274794

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Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing by Hime Aguiar e Oliveira Junior,Lester Ingber,Antonio Petraglia,Mariane Rembold Petraglia,Maria Augusta Soares Machado Pdf

Stochastic global optimization is a very important subject, that has applications in virtually all areas of science and technology. Therefore there is nothing more opportune than writing a book about a successful and mature algorithm that turned out to be a good tool in solving difficult problems. Here we present some techniques for solving several problems by means of Fuzzy Adaptive Simulated Annealing (Fuzzy ASA), a fuzzy-controlled version of ASA, and by ASA itself. ASA is a sophisticated global optimization algorithm that is based upon ideas of the simulated annealing paradigm, coded in the C programming language and developed to statistically find the best global fit of a nonlinear constrained, non-convex cost function over a multi-dimensional space. By presenting detailed examples of its application we want to stimulate the reader’s intuition and make the use of Fuzzy ASA (or regular ASA) easier for everyone wishing to use these tools to solve problems. We kept formal mathematical requirements to a minimum and focused on continuous problems, although ASA is able to handle discrete optimization tasks as well. This book can be used by researchers and practitioners in engineering and industry, in courses on optimization for advanced undergraduate and graduate levels, and also for self-study.

Introduction to Global Optimization Exploiting Space-Filling Curves

Yaroslav D. Sergeyev,Roman G. Strongin,Daniela Lera
Introduction to Global Optimization Exploiting Space Filling Curves Book PDF

Author : Yaroslav D. Sergeyev,Roman G. Strongin,Daniela Lera
Publisher : Springer Science & Business Media
Page : 135 pages
File Size : 49,6 Mb
Release : 2013-08-13
Category : Mathematics
ISBN : 9781461480426

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Introduction to Global Optimization Exploiting Space-Filling Curves by Yaroslav D. Sergeyev,Roman G. Strongin,Daniela Lera Pdf

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computations can be organized. Professors, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful . ​