Developments in Global Optimization

The collection of papers in this book indicates the diverse applicability of global optimization. Furthermore, various algorithmic, theoretical developments and computational studies are presented.

Author: Immanuel M. Bomze

Publisher: Springer Science & Business Media

ISBN: 9781475726008

Category: Computers

Page: 348

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In recent years global optimization has found applications in many interesting areas of science and technology including molecular biology, chemical equilibrium problems, medical imaging and networks. The collection of papers in this book indicates the diverse applicability of global optimization. Furthermore, various algorithmic, theoretical developments and computational studies are presented. Audience: All researchers and students working in mathematical programming.
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Advances in Applied Mathematics and Global Optimization

Global. Optimization. Dedicated to Professor Gilbert Strang on the occasion of his 70th birthday David Y. Gao and Hanif D. Sherali Summary. This chapter presents a comprehensive review and some new developments on canonical duality ...

Author: David Y. Gao

Publisher: Springer Science & Business Media

ISBN: 9780387757148

Category: Mathematics

Page: 520

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The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
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Handbook of Global Optimization

Developments in Global Optimization. Kluwer Academic Publishers, Dordrecht / Boston / London. Bracken, J. and McCormick, G.P. (1968). Selected Applications of Nonlinear Programming. John Wiley and Sons, New York.

Author: Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 9781475753622

Category: Mathematics

Page: 572

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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.
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Advances in Stochastic and Deterministic Global Optimization

... A.: Global Optimization. Springer, New York (1989) Vanderhoeft, C.: Generalised calibration at Statistics Belgium: SPSS module g-CALIB-S and current practices. Tech. rep., Statistics Belgium (2001) Ypma, T.J.: Historical development ...

Author: Panos M. Pardalos

Publisher: Springer

ISBN: 9783319299754

Category: Mathematics

Page: 296

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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.
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Recent Developments in Mathematical Programming

Finally , we see that global methods are recently applied to solve nonlinear integer programming problems ( e.g. , 10 and references therein ) . Computational studies in global optimization are less advanced than theoretical research ...

Author: Santosh Kumar

Publisher: CRC Press

ISBN: 9781000657623

Category: Mathematics

Page: 470

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This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.
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Encyclopedia of Optimization

Bomze IM, Csendes T, Horst R, Pardalos PM (eds) (1997) Developments in global optimization. Kluwer, Dordrecht . De Leone R, Murli A, Pardalos PM, Toraldo G (eds) (1998) High performance software for nonlinear optimization: Status and ...

Author: Christodoulos A. Floudas

Publisher: Springer Science & Business Media

ISBN: 9780387747583

Category: Mathematics

Page: 4622

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The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
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Advances and Trends in Optimization with Engineering Applications

13.5.3 Global Optimization Software In the last two decades, we have witnessed significant progress in the development of global optimization software. What used to be “the road less traveled” 20 years ago [1444] is becoming an ...

Author: TamØs Terlaky

Publisher: SIAM

ISBN: 9781611974683

Category: Mathematics

Page: 696

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Optimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods.
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Convex Analysis and Global Optimization

This book develops a coherent and rigorous theory of deterministic global optimization from this point of view.

Author: Hoang Tuy

Publisher: Springer Science & Business Media

ISBN: 9781475728095

Category: Mathematics

Page: 340

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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.
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Modeling and Optimization in Space Engineering

Preprint ANL/MCS-P1768-0610, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne (2010) Pinte ́r, J.D.: Software development for global optimization. In: Pardalos, P.M., Coleman, T.F. (eds.) ...

Author: Giorgio Fasano

Publisher: Springer Science & Business Media

ISBN: 9781461444695

Category: Mathematics

Page: 404

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This volume presents a selection of advanced case studies that address a substantial range of issues and challenges arising in space engineering. The contributing authors are well-recognized researchers and practitioners in space engineering and in applied optimization. The key mathematical modeling and numerical solution aspects of each application case study are presented in sufficient detail. Classic and more recent space engineering problems – including cargo accommodation and object placement, flight control of satellites, integrated design and trajectory optimization, interplanetary transfers with deep space manoeuvres, low energy transfers, magnetic cleanliness modeling, propulsion system design, sensor system placement, systems engineering, space traffic logistics, and trajectory optimization – are discussed. Novel points of view related to computational global optimization and optimal control, and to multidisciplinary design optimization are also given proper emphasis. A particular attention is paid also to scenarios expected in the context of future interplanetary explorations. Modeling and Optimization in Space Engineering will benefit researchers and practitioners working on space engineering applications. Academics, graduate and post-graduate students in the fields of aerospace and other engineering, applied mathematics, operations research and optimal control will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.
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