Global Optimization Using Stochastic Integration

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Global Optimization

Author : Stefan Schäffler
Publisher : Springer Science & Business Media
ISBN 13 : 1461439272
Total Pages : 157 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Global Optimization by : Stefan Schäffler

Download or read book Global Optimization written by Stefan Schäffler and published by Springer Science & Business Media. This book was released on 2012-06-26 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents a new stochastic approach to global optimization problems arising in a variety of disciplines including mathematics, operations research, engineering, and economics. The volume deals with constrained and unconstrained problems and puts a special emphasis on large scale problems. It also introduces a new unified concept for unconstrained, constrained, vector, and stochastic global optimization problems. All methods presented are illustrated by various examples. Practical numerical algorithms are given and analyzed in detail. The topics presented include the randomized curve of steepest descent, the randomized curve of dominated points, the semi-implicit Euler method, the penalty approach, and active set strategies. The optimal decoding of block codes in digital communications is worked out as a case study and shows the potential and high practical relevance of this new approach. Global Optimization: A Stochastic Approach is an elegant account of a refined theory, suitable for researchers and graduate students interested in global optimization and its applications.

Stochastic Global Optimization

Author : Anatoly Zhigljavsky
Publisher : Springer Science & Business Media
ISBN 13 : 0387747400
Total Pages : 262 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Stochastic Global Optimization by : Anatoly Zhigljavsky

Download or read book Stochastic Global Optimization written by Anatoly Zhigljavsky and published by Springer Science & Business Media. This book was released on 2007-11-20 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

State of the Art in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 1461334373
Total Pages : 638 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis State of the Art in Global Optimization by : Christodoulos A. Floudas

Download or read book State of the Art in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Adaptive Search for Global Optimization

Author : Z.B. Zabinsky
Publisher : Springer Science & Business Media
ISBN 13 : 1441991824
Total Pages : 236 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Stochastic Adaptive Search for Global Optimization by : Z.B. Zabinsky

Download or read book Stochastic Adaptive Search for Global Optimization written by Z.B. Zabinsky and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of global optimization has been developing at a rapid pace. There is a journal devoted to the topic, as well as many publications and notable books discussing various aspects of global optimization. This book is intended to complement these other publications with a focus on stochastic methods for global optimization. Stochastic methods, such as simulated annealing and genetic algo rithms, are gaining in popularity among practitioners and engineers be they are relatively easy to program on a computer and may be cause applied to a broad class of global optimization problems. However, the theoretical performance of these stochastic methods is not well under stood. In this book, an attempt is made to describe the theoretical prop erties of several stochastic adaptive search methods. Such a theoretical understanding may allow us to better predict algorithm performance and ultimately design new and improved algorithms. This book consolidates a collection of papers on the analysis and de velopment of stochastic adaptive search. The first chapter introduces random search algorithms. Chapters 2-5 describe the theoretical anal ysis of a progression of algorithms. A main result is that the expected number of iterations for pure adaptive search is linear in dimension for a class of Lipschitz global optimization problems. Chapter 6 discusses algorithms, based on the Hit-and-Run sampling method, that have been developed to approximate the ideal performance of pure random search. The final chapter discusses several applications in engineering that use stochastic adaptive search methods.

Advances in Stochastic and Deterministic Global Optimization

Author : Panos M. Pardalos
Publisher : Springer
ISBN 13 : 3319299751
Total Pages : 296 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advances in Stochastic and Deterministic Global Optimization by : Panos M. Pardalos

Download or read book Advances in Stochastic and Deterministic Global Optimization written by Panos M. Pardalos and published by Springer. This book was released on 2016-11-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive facility location. Graduate students, researchers, and scientists in computer science, numerical analysis, optimization, and applied mathematics will be fascinated by the theoretical, computational, and application-oriented aspects of stochastic and deterministic global optimization explored in this book. This volume is dedicated to the 70th birthday of Antanas Žilinskas who is a leading world expert in global optimization. Professor Žilinskas's research has concentrated on studying models for the objective function, the development and implementation of efficient algorithms for global optimization with single and multiple objectives, and application of algorithms for solving real-world practical problems.

Global Optimization

Author : Springer
Publisher :
ISBN 13 : 9781461439288
Total Pages : 164 pages
Book Rating : 4.4/5 (392 download)

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Book Synopsis Global Optimization by : Springer

Download or read book Global Optimization written by Springer and published by . This book was released on 2012-08-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large-Scale Optimization with Applications

Author : Lorenz T. Biegler
Publisher : Springer Science & Business Media
ISBN 13 : 1461206936
Total Pages : 212 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Large-Scale Optimization with Applications by : Lorenz T. Biegler

Download or read book Large-Scale Optimization with Applications written by Lorenz T. Biegler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing

Author : Hime Aguiar e Oliveira Junior
Publisher : Springer Science & Business Media
ISBN 13 : 364227479X
Total Pages : 210 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing by : Hime Aguiar e Oliveira Junior

Download or read book Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing written by Hime Aguiar e Oliveira Junior and published by Springer Science & Business Media. This book was released on 2012-01-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Adaptive Scalarization Methods in Multiobjective Optimization

Author : Gabriele Eichfelder
Publisher : Springer Science & Business Media
ISBN 13 : 3540791590
Total Pages : 241 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Adaptive Scalarization Methods in Multiobjective Optimization by : Gabriele Eichfelder

Download or read book Adaptive Scalarization Methods in Multiobjective Optimization written by Gabriele Eichfelder and published by Springer Science & Business Media. This book was released on 2008-05-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.

Lectures on Global Optimization

Author : Thomas Frederick Coleman
Publisher : American Mathematical Soc.
ISBN 13 : 0821844857
Total Pages : 257 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Global Optimization by : Thomas Frederick Coleman

Download or read book Lectures on Global Optimization written by Thomas Frederick Coleman and published by American Mathematical Soc.. This book was released on 2009 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of mathematical models in many diverse areas of science and engineering have lead to the formulation of optimization problems where the best solution (globally optimal) is needed. This book covers a small subset of important topics in global optimization with emphasis on theoretical developments and scientific applications.

Nonlinear Multiobjective Optimization

Author : Claus Hillermeier
Publisher : Birkhäuser
ISBN 13 : 3034882807
Total Pages : 135 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Multiobjective Optimization by : Claus Hillermeier

Download or read book Nonlinear Multiobjective Optimization written by Claus Hillermeier and published by Birkhäuser. This book was released on 2012-12-06 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization. The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.

Frontiers in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 9781402076992
Total Pages : 612 pages
Book Rating : 4.0/5 (769 download)

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Book Synopsis Frontiers in Global Optimization by : Christodoulos A. Floudas

Download or read book Frontiers in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2004 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Frontiers in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 146130251X
Total Pages : 590 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Frontiers in Global Optimization by : Christodoulos A. Floudas

Download or read book Frontiers in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Optimum Design

Author : Jasbir Singh Arora
Publisher : Elsevier
ISBN 13 : 0128183217
Total Pages : 1121 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Introduction to Optimum Design by : Jasbir Singh Arora

Download or read book Introduction to Optimum Design written by Jasbir Singh Arora and published by Elsevier. This book was released on 2024-03-18 with total page 1121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arora’s Introduction to Optimum Design is the most widely used textbook in engineering optimization and optimum design courses. It is intended for use in a first course on engineering design and optimization at the undergraduate or graduate level within engineering departments of all disciplines, but primarily within mechanical, aerospace and civil engineering. The basic approach of the text is to describe an organized approach to engineering design optimization in a rigorous yet simplified manner, illustrate various concepts and procedures with simple examples, and demonstrate their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB are featured as learning and teaching aids. The fifth edition has been enhanced with new or expanded content in such areas as reliability-based optimization, life-cycle optimization of structures, metamodeling, shape and topology optimization, and combinatorial problems. Describes basic concepts of optimality conditions and numerical methods with simple and practical examples, making the material highly teachable and learnable Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems Covers practical design examples and introduces students to the use of optimization methods Serves the needs of instructors who teach more advanced courses Features new or expanded content in such areas as reliability-based optimization, life-cycle optimization of structures, metamodeling, shape and topology optimization

Recent Advances in Parallel Virtual Machine and Message Passing Interface

Author : Jack Dongarra
Publisher : Springer
ISBN 13 : 3540452559
Total Pages : 368 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Recent Advances in Parallel Virtual Machine and Message Passing Interface by : Jack Dongarra

Download or read book Recent Advances in Parallel Virtual Machine and Message Passing Interface written by Jack Dongarra and published by Springer. This book was released on 2003-06-26 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel Virtual Machine (PVM) and Message Passing Interface (MPI) are the most frequently used tools for programming according to the message passing paradigm, which is considered one of the best ways to develop parallel applications. This volume comprises 42 revised contributions presented at the Seventh European PVM/MPI Users’ Group Meeting, which was held in Balatonfr ed, Hungary, 10 13 September 2000. The conference was organized by the Laboratory of Parallel and Distributed Systems of the Computer and Automation Research Institute of the Hungarian Academy of Sciences. This conference was previously held in Barcelona, Spain (1999), Liverpool, UK (1998) and Cracow, Poland (1997). The first three conferences were devoted to PVM and were held at the Technische Universit t M nchen, Germany (1996), Ecole Normale Superieure Lyon, France (1995), and University of Rome, Italy (1994). This conference has become a forum for users and developers of PVM, MPI, and other message passing environments. Interaction between those groups has proved to be very useful for developing new ideas in parallel computing and for applying existing ideas to new practical fields. The main topics of the meeting were evaluation and performance of PVM and MPI, extensions and improvements to PVM and MPI, algorithms using the message passing paradigm, and applications in science and engineering based on message passing. The conference included four tutorials and five invited talks on advances in MPI, cluster computing, network computing, grid computing, and SGI parallel computers and programming systems.

Foundations of Computational Mathematics

Author : Ronald A. DeVore
Publisher : Cambridge University Press
ISBN 13 : 9780521003490
Total Pages : 418 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Foundations of Computational Mathematics by : Ronald A. DeVore

Download or read book Foundations of Computational Mathematics written by Ronald A. DeVore and published by Cambridge University Press. This book was released on 2001-05-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.

Applied Mathematics and Parallel Computing

Author : Herbert Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 3642997899
Total Pages : 371 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Applied Mathematics and Parallel Computing by : Herbert Fischer

Download or read book Applied Mathematics and Parallel Computing written by Herbert Fischer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of this Festschrift prepared these papers to honour and express their friendship to Klaus Ritter on the occasion of his sixtieth birthday. Be cause of Ritter's many friends and his international reputation among math ematicians, finding contributors was easy. In fact, constraints on the size of the book required us to limit the number of papers. Klaus Ritter has done important work in a variety of areas, especially in var ious applications of linear and nonlinear optimization and also in connection with statistics and parallel computing. For the latter we have to mention Rit ter's development of transputer workstation hardware. The wide scope of his research is reflected by the breadth of the contributions in this Festschrift. After several years of scientific research in the U.S., Klaus Ritter was ap pointed as full professor at the University of Stuttgart. Since then, his name has become inextricably connected with the regularly scheduled conferences on optimization in Oberwolfach. In 1981 he became full professor of Applied Mathematics and Mathematical Statistics at the Technical University of Mu nich. In addition to his university teaching duties, he has made the activity of applying mathematical methods to problems of industry to be centrally important.