State Of The Art In Global Optimization

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State of the Art in Global Optimization

Christodoulos A. Floudas,Panos M. Pardalos
State of the Art in Global Optimization Book PDF

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 50,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461334378

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State of the Art in Global Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

Optimization problems abound in most fields of science, engineering, and tech nology. In many of these problems it is necessary to compute the global optimum (or a good approximation) of a multivariable function. The variables that define the function to be optimized can be continuous and/or discrete and, in addition, many times satisfy certain constraints. Global optimization problems belong to the complexity class of NP-hard prob lems. Such problems are very difficult to solve. Traditional descent optimization algorithms based on local information are not adequate for solving these problems. In most cases of practical interest the number of local optima increases, on the aver age, exponentially with the size of the problem (number of variables). Furthermore, most of the traditional approaches fail to escape from a local optimum in order to continue the search for the global solution. Global optimization has received a lot of attention in the past ten years, due to the success of new algorithms for solving large classes of problems from diverse areas such as engineering design and control, computational chemistry and biology, structural optimization, computer science, operations research, and economics. This book contains refereed invited papers presented at the conference on "State of the Art in Global Optimization: Computational Methods and Applications" held at Princeton University, April 28-30, 1995. The conference presented current re search on global optimization and related applications in science and engineering. The papers included in this book cover a wide spectrum of approaches for solving global optimization problems and applications.

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 : 40,5 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.

State of the Art in Global Optimization

Christodoulos A. Floudas,Panos M. Pardalos
State of the Art in Global Optimization Book PDF

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 672 pages
File Size : 41,6 Mb
Release : 1996-02-29
Category : Language Arts & Disciplines
ISBN : STANFORD:36105018326665

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State of the Art in Global Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

Papers from the April 1995 title conference, held at Princeton University, present current research on global optimization and related applications in science and engineering, highlighting the use of new algorithms for solving large classes of problems in areas such as computational chemistry and biology, structural optimization, and operations research. Topics include Lagrange duality in partly convex programming, global optimization using hyperbolic cross points, and adaptive control via non-convex optimization. Of interest to students and researchers in optimization, engineering, mathematics, and computer sciences. No index. Annotation copyright by Book News, Inc., Portland, OR

Handbook of Nature-Inspired Optimization Algorithms: The State of the Art

Ali Mohamed,Diego Oliva,Ponnuthurai Nagaratnam Suganthan
Handbook of Nature Inspired Optimization Algorithms The State of the Art Book PDF

Author : Ali Mohamed,Diego Oliva,Ponnuthurai Nagaratnam Suganthan
Publisher : Springer Nature
Page : 282 pages
File Size : 47,6 Mb
Release : 2022-08-31
Category : Technology & Engineering
ISBN : 9783031075124

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Handbook of Nature-Inspired Optimization Algorithms: The State of the Art by Ali Mohamed,Diego Oliva,Ponnuthurai Nagaratnam Suganthan Pdf

The introduction of nature-inspired optimization algorithms (NIOAs), over the past three decades, helped solve nonlinear, high-dimensional, and complex computational optimization problems. NIOAs have been originally developed to overcome the challenges of global optimization problems such as nonlinearity, non-convexity, non-continuity, non-differentiability, and/or multimodality which traditional numerical optimization techniques had difficulties solving. The main objective for this book is to make available a self-contained collection of modern research addressing the general bound-constrained optimization problems in many real-world applications using nature-inspired optimization algorithms. This book is suitable for a graduate class on optimization, but will also be useful for interested senior students working on their research projects.

Large-Scale Optimization with Applications

Lorenz T. Biegler,Thomas F. Coleman,Andrew R. Conn,Fadil N. Santosa
Large Scale Optimization with Applications Book PDF

Author : Lorenz T. Biegler,Thomas F. Coleman,Andrew R. Conn,Fadil N. Santosa
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461219606

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Large-Scale Optimization with Applications by Lorenz T. Biegler,Thomas F. Coleman,Andrew R. Conn,Fadil N. Santosa Pdf

With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large Scale Optimization

William W. Hager,D.W. Hearn,Panos M. Pardalos
Large Scale Optimization Book PDF

Author : William W. Hager,D.W. Hearn,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 49,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461336327

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Large Scale Optimization by William W. Hager,D.W. Hearn,Panos M. Pardalos Pdf

On February 15-17, 1993, a conference on Large Scale Optimization, hosted by the Center for Applied Optimization, was held at the University of Florida. The con ference was supported by the National Science Foundation, the U. S. Army Research Office, and the University of Florida, with endorsements from SIAM, MPS, ORSA and IMACS. Forty one invited speakers presented papers on mathematical program ming and optimal control topics with an emphasis on algorithm development, real world applications and numerical results. Participants from Canada, Japan, Sweden, The Netherlands, Germany, Belgium, Greece, and Denmark gave the meeting an important international component. At tendees also included representatives from IBM, American Airlines, US Air, United Parcel Serice, AT & T Bell Labs, Thinking Machines, Army High Performance Com puting Research Center, and Argonne National Laboratory. In addition, the NSF sponsored attendance of thirteen graduate students from universities in the United States and abroad. Accurate modeling of scientific problems often leads to the formulation of large scale optimization problems involving thousands of continuous and/or discrete vari ables. Large scale optimization has seen a dramatic increase in activities in the past decade. This has been a natural consequence of new algorithmic developments and of the increased power of computers. For example, decomposition ideas proposed by G. Dantzig and P. Wolfe in the 1960's, are now implement able in distributed process ing systems, and today many optimization codes have been implemented on parallel machines.

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 : 50,6 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.

Algorithms for Continuous Optimization

E. Spedicato
Algorithms for Continuous Optimization Book PDF

Author : E. Spedicato
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400903692

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Algorithms for Continuous Optimization by E. Spedicato Pdf

The NATO Advanced Study Institute on "Algorithms for continuous optimiza tion: the state of the art" was held September 5-18, 1993, at II Ciocco, Barga, Italy. It was attended by 75 students (among them many well known specialists in optimiza tion) from the following countries: Belgium, Brasil, Canada, China, Czech Republic, France, Germany, Greece, Hungary, Italy, Poland, Portugal, Rumania, Spain, Turkey, UK, USA, Venezuela. The lectures were given by 17 well known specialists in the field, from Brasil, China, Germany, Italy, Portugal, Russia, Sweden, UK, USA. Solving continuous optimization problems is a fundamental task in computational mathematics for applications in areas of engineering, economics, chemistry, biology and so on. Most real problems are nonlinear and can be of quite large size. Devel oping efficient algorithms for continuous optimization has been an important field of research in the last 30 years, with much additional impetus provided in the last decade by the availability of very fast and parallel computers. Techniques, like the simplex method, that were already considered fully developed thirty years ago have been thoroughly revised and enormously improved. The aim of this ASI was to present the state of the art in this field. While not all important aspects could be covered in the fifty hours of lectures (for instance multiob jective optimization had to be skipped), we believe that most important topics were presented, many of them by scientists who greatly contributed to their development.

Global Optimization with Non-Convex Constraints

Roman G. Strongin,Yaroslav D. Sergeyev
Global Optimization with Non Convex Constraints Book PDF

Author : Roman G. Strongin,Yaroslav D. Sergeyev
Publisher : Springer Science & Business Media
Page : 717 pages
File Size : 45,5 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9781461546771

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Global Optimization with Non-Convex Constraints by Roman G. Strongin,Yaroslav D. Sergeyev Pdf

Everything should be made as simple as possible, but not simpler. (Albert Einstein, Readers Digest, 1977) The modern practice of creating technical systems and technological processes of high effi.ciency besides the employment of new principles, new materials, new physical effects and other new solutions ( which is very traditional and plays the key role in the selection of the general structure of the object to be designed) also includes the choice of the best combination for the set of parameters (geometrical sizes, electrical and strength characteristics, etc.) concretizing this general structure, because the Variation of these parameters ( with the structure or linkage being already set defined) can essentially affect the objective performance indexes. The mathematical tools for choosing these best combinations are exactly what is this book about. With the advent of computers and the computer-aided design the pro bations of the selected variants are usually performed not for the real examples ( this may require some very expensive building of sample op tions and of the special installations to test them ), but by the analysis of the corresponding mathematical models. The sophistication of the mathematical models for the objects to be designed, which is the natu ral consequence of the raising complexity of these objects, greatly com plicates the objective performance analysis. Today, the main (and very often the only) available instrument for such an analysis is computer aided simulation of an object's behavior, based on numerical experiments with its mathematical model.

Convex Analysis and Global Optimization

Hoang Tuy
Convex Analysis and Global Optimization Book PDF

Author : Hoang Tuy
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 45,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475728095

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Convex Analysis and Global Optimization by Hoang Tuy Pdf

Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.

Optimization and Control with Applications

Liqun Qi,Kok Lay Teo,Xiao Qi Yang
Optimization and Control with Applications Book PDF

Author : Liqun Qi,Kok Lay Teo,Xiao Qi Yang
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 41,8 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387242552

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Optimization and Control with Applications by Liqun Qi,Kok Lay Teo,Xiao Qi Yang Pdf

A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

Foundations of Computational Intelligence Volume 3

Ajith Abraham,Aboul-Ella Hassanien,Patrick Siarry,Andries Engelbrecht
Foundations of Computational Intelligence Volume 3 Book PDF

Author : Ajith Abraham,Aboul-Ella Hassanien,Patrick Siarry,Andries Engelbrecht
Publisher : Springer Science & Business Media
Page : 531 pages
File Size : 41,8 Mb
Release : 2009-04-27
Category : Computers
ISBN : 9783642010842

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Foundations of Computational Intelligence Volume 3 by Ajith Abraham,Aboul-Ella Hassanien,Patrick Siarry,Andries Engelbrecht Pdf

Global optimization is a branch of applied mathematics and numerical analysis that deals with the task of finding the absolutely best set of admissible conditions to satisfy certain criteria / objective function(s), formulated in mathematical terms. Global optimization includes nonlinear, stochastic and combinatorial programming, multiobjective programming, control, games, geometry, approximation, algorithms for parallel architectures and so on. Due to its wide usage and applications, it has gained the attention of researchers and practitioners from a plethora of scientific domains. Typical practical examples of global optimization applications include: Traveling salesman problem and electrical circuit design (minimize the path length); safety engineering (building and mechanical structures); mathematical problems (Kepler conjecture); Protein structure prediction (minimize the energy function) etc. Global Optimization algorithms may be categorized into several types: Deterministic (example: branch and bound methods), Stochastic optimization (example: simulated annealing). Heuristics and meta-heuristics (example: evolutionary algorithms) etc. Recently there has been a growing interest in combining global and local search strategies to solve more complicated optimization problems. This edited volume comprises 17 chapters, including several overview Chapters, which provides an up-to-date and state-of-the art research covering the theory and algorithms of global optimization. Besides research articles and expository papers on theory and algorithms of global optimization, papers on numerical experiments and on real world applications were also encouraged. The book is divided into 2 main parts.

Handbook of Parallel Computing and Statistics

Erricos John Kontoghiorghes
Handbook of Parallel Computing and Statistics Book PDF

Author : Erricos John Kontoghiorghes
Publisher : CRC Press
Page : 560 pages
File Size : 40,9 Mb
Release : 2005-12-21
Category : Computers
ISBN : 1420028685

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Handbook of Parallel Computing and Statistics by Erricos John Kontoghiorghes Pdf

Technological improvements continue to push back the frontier of processor speed in modern computers. Unfortunately, the computational intensity demanded by modern research problems grows even faster. Parallel computing has emerged as the most successful bridge to this computational gap, and many popular solutions have emerged based on its concepts

Multidisciplinary Design Optimization

Natalia M. Alexandrov,M. Yousuff Hussaini
Multidisciplinary Design Optimization Book PDF

Author : Natalia M. Alexandrov,M. Yousuff Hussaini
Publisher : SIAM
Page : 476 pages
File Size : 52,8 Mb
Release : 1997-01-01
Category : Design
ISBN : 0898713595

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Multidisciplinary Design Optimization by Natalia M. Alexandrov,M. Yousuff Hussaini Pdf

Multidisciplinary design optimization (MDO) has recently emerged as a field of research and practice that brings together many previously disjointed disciplines and tools of engineering and mathematics. MDO can be described as a technology, environment, or methodology for the design of complex, coupled engineering systems, such as aircraft, automobiles, and other mechanisms, the behavior of which is determined by interacting subsystems.

Optimization Methods, Theory and Applications

Honglei Xu,Song Wang,Soon-Yi Wu
Optimization Methods Theory and Applications Book PDF

Author : Honglei Xu,Song Wang,Soon-Yi Wu
Publisher : Springer
Page : 205 pages
File Size : 41,8 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9783662470442

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Optimization Methods, Theory and Applications by Honglei Xu,Song Wang,Soon-Yi Wu Pdf

This book presents the latest research findings and state-of-the-art solutions on optimization techniques and provides new research direction and developments. Both the theoretical and practical aspects of the book will be much beneficial to experts and students in optimization and operation research community. It selects high quality papers from The International Conference on Optimization: Techniques and Applications (ICOTA2013). The conference is an official conference series of POP (The Pacific Optimization Research Activity Group; there are over 500 active members). These state-of-the-art works in this book authored by recognized experts will make contributions to the development of optimization with its applications.