Theory Of Multiobjective Optimization

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Theory of Multiobjective Optimization

Yoshikazu Sawaragi,HIROTAKA NAKAYAMA,TETSUZO TANINO
Theory of Multiobjective Optimization Book PDF

Author : Yoshikazu Sawaragi,HIROTAKA NAKAYAMA,TETSUZO TANINO
Publisher : Elsevier
Page : 322 pages
File Size : 44,9 Mb
Release : 1985-09-19
Category : Mathematics
ISBN : 0080958664

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Theory of Multiobjective Optimization by Yoshikazu Sawaragi,HIROTAKA NAKAYAMA,TETSUZO TANINO Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Evolutionary Multiobjective Optimization

Ajith Abraham,Robert Goldberg
Evolutionary Multiobjective Optimization Book PDF

Author : Ajith Abraham,Robert Goldberg
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 42,9 Mb
Release : 2005-09-05
Category : Computers
ISBN : 9781846281372

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Evolutionary Multiobjective Optimization by Ajith Abraham,Robert Goldberg Pdf

Evolutionary Multi-Objective Optimization is an expanding field of research. This book brings a collection of papers with some of the most recent advances in this field. The topic and content is currently very fashionable and has immense potential for practical applications and includes contributions from leading researchers in the field. Assembled in a compelling and well-organised fashion, Evolutionary Computation Based Multi-Criteria Optimization will prove beneficial for both academic and industrial scientists and engineers engaged in research and development and application of evolutionary algorithm based MCO. Packed with must-find information, this book is the first to comprehensively and clearly address the issue of evolutionary computation based MCO, and is an essential read for any researcher or practitioner of the technique.

Multiobjective Optimization: Behavioral and Computational Considerations

Jeffrey L. Ringuest
Multiobjective Optimization Behavioral and Computational Considerations Book PDF

Author : Jeffrey L. Ringuest
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461536123

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Multiobjective Optimization: Behavioral and Computational Considerations by Jeffrey L. Ringuest Pdf

Throughout the development of mathematical programming researchers have paid great attention to problems that are described by a single objective that can only be achieved subject to satisfying a set of restrictions or constraints. Recently, it has been recognized that the use of a single objective limits the applicability of In reality, many multiobjective mathematical programming models. situations exist and frequently these mUltiple objectives are in direct conflict. Research on multiobjective problems can be broken down into two broad categories: multiobjective optimization and multicriterion decision theory. Multiobjective optimization models are based on techniques such as linear programming. In general, the multiobjective optimization problem can be defined as finding a feasible alternative that yields the most preferred set of values for the objective functions. This problem differs from a single objective because subjective methods are required to determine which alternative is most preferred. A body of literature parallel to that m multiobjective optimization has been developing in the area of multicriterion decision theory. These models are based on classical decision analysis, particularly utility theory. One focus of this research has been the development and testing of procedures for estimating multiattribute utility functions that are consistent with rational decision maker behavior. A utility function provides a model of a decision maker's choice among alternatives. This literature is directly xii MULTIOBJECTIVE OPTIMIZATION applicable to multiobjective optimization and provides much needed insight into the subjective character of that problem.

Multi-Objective Optimization in Theory and Practice I: Classical Methods

Andre A. Keller
Multi Objective Optimization in Theory and Practice I Classical Methods Book PDF

Author : Andre A. Keller
Publisher : Bentham Science Publishers
Page : 296 pages
File Size : 42,7 Mb
Release : 2017-12-13
Category : Technology & Engineering
ISBN : 9781681085685

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Multi-Objective Optimization in Theory and Practice I: Classical Methods by Andre A. Keller Pdf

Multi-Objective Optimization in Theory and Practice is a traditional two-part approach to solving multi-objective optimization (MOO) problems namely the use of classical methods and evolutionary algorithms. This first book is devoted to classical methods including the extended simplex method by Zeleny and preference-based techniques. This part covers three main topics through nine chapters. The first topic focuses on the design of such MOO problems, their complexities including nonlinearities and uncertainties, and optimality theory. The second topic introduces the founding solving methods including the extended simplex method to linear MOO problems and weighting objective methods. The third topic deals with particular structures of MOO problems, such as mixed-integer programming, hierarchical programming, fuzzy logic programming, and bimatrix games. Multi-Objective Optimization in Theory and Practice is a user-friendly book with detailed, illustrated calculations, examples, test functions, and small-size applications in Mathematica® (among other mathematical packages) and from scholarly literature. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science, and mathematics degree programs.

Nonlinear Multiobjective Optimization

Kaisa Miettinen
Nonlinear Multiobjective Optimization Book PDF

Author : Kaisa Miettinen
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461555636

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Nonlinear Multiobjective Optimization by Kaisa Miettinen Pdf

Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization. Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980. Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well. This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.

Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms

André A. Keller
Multi Objective Optimization in Theory and Practice II Metaheuristic Algorithms Book PDF

Author : André A. Keller
Publisher : Bentham Science Publishers
Page : 310 pages
File Size : 50,8 Mb
Release : 2019-03-28
Category : Mathematics
ISBN : 9781681087061

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Multi-Objective Optimization in Theory and Practice II: Metaheuristic Algorithms by André A. Keller Pdf

Multi-Objective Optimization in Theory and Practice is a simplified two-part approach to multi-objective optimization (MOO) problems. This second part focuses on the use of metaheuristic algorithms in more challenging practical cases. The book includes ten chapters that cover several advanced MOO techniques. These include the determination of Pareto-optimal sets of solutions, metaheuristic algorithms, genetic search algorithms and evolution strategies, decomposition algorithms, hybridization of different metaheuristics, and many-objective (more than three objectives) optimization and parallel computation. The final section of the book presents information about the design and types of fifty test problems for which the Pareto-optimal front is approximated. For each of them, the package NSGA-II is used to approximate the Pareto-optimal front. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science and mathematics degree programs.

Multicriteria Optimization

Matthias Ehrgott
Multicriteria Optimization Book PDF

Author : Matthias Ehrgott
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 50,8 Mb
Release : 2006-01-16
Category : Business & Economics
ISBN : 9783540276593

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Multicriteria Optimization by Matthias Ehrgott Pdf

- Collection of results of multicriteria optimization, including nonlinear, linear and combinatorial optimization problems - Includes numerous illustrations, examples and problems

Multi-Objective Optimization in Computational Intelligence: Theory and Practice

Thu Bui, Lam,Alam, Sameer
Multi Objective Optimization in Computational Intelligence Theory and Practice Book PDF

Author : Thu Bui, Lam,Alam, Sameer
Publisher : IGI Global
Page : 496 pages
File Size : 44,8 Mb
Release : 2008-05-31
Category : Technology & Engineering
ISBN : 9781599045009

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Multi-Objective Optimization in Computational Intelligence: Theory and Practice by Thu Bui, Lam,Alam, Sameer Pdf

Multi-objective optimization (MO) is a fast-developing field in computational intelligence research. Giving decision makers more options to choose from using some post-analysis preference information, there are a number of competitive MO techniques with an increasingly large number of MO real-world applications. Multi-Objective Optimization in Computational Intelligence: Theory and Practice explores the theoretical, as well as empirical, performance of MOs on a wide range of optimization issues including combinatorial, real-valued, dynamic, and noisy problems. This book provides scholars, academics, and practitioners with a fundamental, comprehensive collection of research on multi-objective optimization techniques, applications, and practices.

Multiple Criteria Decision Making Theory and Application

G. Fandel,T. Gal
Multiple Criteria Decision Making Theory and Application Book PDF

Author : G. Fandel,T. Gal
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642487828

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Multiple Criteria Decision Making Theory and Application by G. Fandel,T. Gal Pdf

He consider a cone dominance problem: given a "preference" cone lP and a set n X ~ R of available, or feasible, alternatives, the problem is to identify the non dominated elements of X. The nonzero elements of lP are assumed to model the do- nance structure of the problem so that y s X dominates x s X if Y = x + P for some nonzero p S lP. Consequently, x S X is nondominated if, and only if, ({x} + lP) n X = {x} (1.1) He will also refer to nondominated points as efficient points (in X with respect to lP) and we will let EF(XJP) denote the set of such efficient points. This cone dominance problem draws its roots from two separate, but related, ori gins. The first of these is multi-attribute decision making in which the elements of the set X are endowed with various attributes, each to be maximized or minimized.

Multiobjective Optimization

Yann Collette,Patrick Siarry
Multiobjective Optimization Book PDF

Author : Yann Collette,Patrick Siarry
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 55,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662088838

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Multiobjective Optimization by Yann Collette,Patrick Siarry Pdf

This text offers many multiobjective optimization methods accompanied by analytical examples, and it treats problems not only in engineering but also operations research and management. It explains how to choose the best method to solve a problem and uses three primary application examples: optimization of the numerical simulation of an industrial process; sizing of a telecommunication network; and decision-aid tools for the sorting of bids.

Multiobjective Optimization

Jürgen Branke,Kalyanmoy Deb,Kaisa Miettinen,Roman Slowiński
Multiobjective Optimization Book PDF

Author : Jürgen Branke,Kalyanmoy Deb,Kaisa Miettinen,Roman Slowiński
Publisher : Springer
Page : 470 pages
File Size : 42,7 Mb
Release : 2008-10-18
Category : Computers
ISBN : 9783540889083

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Multiobjective Optimization by Jürgen Branke,Kalyanmoy Deb,Kaisa Miettinen,Roman Slowiński Pdf

Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is challenging due to the fact that, instead of a single optimal solution, multiobjective optimization results in a number of solutions with different trade-offs among criteria, also known as Pareto optimal or efficient solutions. Hence, a decision maker is needed to provide additional preference information and to identify the most satisfactory solution. Depending on the paradigm used, such information may be introduced before, during, or after the optimization process. Clearly, research and application in multiobjective optimization involve expertise in optimization as well as in decision support. This state-of-the-art survey originates from the International Seminar on Practical Approaches to Multiobjective Optimization, held in Dagstuhl Castle, Germany, in December 2006, which brought together leading experts from various contemporary multiobjective optimization fields, including evolutionary multiobjective optimization (EMO), multiple criteria decision making (MCDM) and multiple criteria decision aiding (MCDA). This book gives a unique and detailed account of the current status of research and applications in the field of multiobjective optimization. It contains 16 chapters grouped in the following 5 thematic sections: Basics on Multiobjective Optimization; Recent Interactive and Preference-Based Approaches; Visualization of Solutions; Modelling, Implementation and Applications; and Quality Assessment, Learning, and Future Challenges.

Multi-Objective Optimization

Jyotsna K. Mandal,Somnath Mukhopadhyay,Paramartha Dutta
Multi Objective Optimization Book PDF

Author : Jyotsna K. Mandal,Somnath Mukhopadhyay,Paramartha Dutta
Publisher : Springer
Page : 318 pages
File Size : 48,9 Mb
Release : 2018-08-18
Category : Computers
ISBN : 9789811314711

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Multi-Objective Optimization by Jyotsna K. Mandal,Somnath Mukhopadhyay,Paramartha Dutta Pdf

This book brings together the latest findings on efficient solutions of multi/many-objective optimization problems from the leading researchers in the field. The focus is on solving real-world optimization problems using strategies ranging from evolutionary to hybrid frameworks, and involving various computation platforms. The topics covered include solution frameworks using evolutionary to hybrid models in application areas like Analytics, Cancer Research, Traffic Management, Networks and Communications, E-Governance, Quantum Technology, Image Processing, etc. As such, the book offers a valuable resource for all postgraduate students and researchers interested in exploring solution frameworks for multi/many-objective optimization problems.

Engineering Optimization

S. S. Rao
Engineering Optimization Book PDF

Author : S. S. Rao
Publisher : New Age International
Page : 936 pages
File Size : 45,9 Mb
Release : 2000
Category : Engineering
ISBN : 8122411495

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Engineering Optimization by S. S. Rao Pdf

A Rigorous Mathematical Approach To Identifying A Set Of Design Alternatives And Selecting The Best Candidate From Within That Set, Engineering Optimization Was Developed As A Means Of Helping Engineers To Design Systems That Are Both More Efficient And Less Expensive And To Develop New Ways Of Improving The Performance Of Existing Systems.Thanks To The Breathtaking Growth In Computer Technology That Has Occurred Over The Past Decade, Optimization Techniques Can Now Be Used To Find Creative Solutions To Larger, More Complex Problems Than Ever Before. As A Consequence, Optimization Is Now Viewed As An Indispensable Tool Of The Trade For Engineers Working In Many Different Industries, Especially The Aerospace, Automotive, Chemical, Electrical, And Manufacturing Industries.In Engineering Optimization, Professor Singiresu S. Rao Provides An Application-Oriented Presentation Of The Full Array Of Classical And Newly Developed Optimization Techniques Now Being Used By Engineers In A Wide Range Of Industries. Essential Proofs And Explanations Of The Various Techniques Are Given In A Straightforward, User-Friendly Manner, And Each Method Is Copiously Illustrated With Real-World Examples That Demonstrate How To Maximize Desired Benefits While Minimizing Negative Aspects Of Project Design.Comprehensive, Authoritative, Up-To-Date, Engineering Optimization Provides In-Depth Coverage Of Linear And Nonlinear Programming, Dynamic Programming, Integer Programming, And Stochastic Programming Techniques As Well As Several Breakthrough Methods, Including Genetic Algorithms, Simulated Annealing, And Neural Network-Based And Fuzzy Optimization Techniques.Designed To Function Equally Well As Either A Professional Reference Or A Graduate-Level Text, Engineering Optimization Features Many Solved Problems Taken From Several Engineering Fields, As Well As Review Questions, Important Figures, And Helpful References.Engineering Optimization Is A Valuable Working Resource For Engineers Employed In Practically All Technological Industries. It Is Also A Superior Didactic Tool For Graduate Students Of Mechanical, Civil, Electrical, Chemical And Aerospace Engineering.

Nonlinear Multiobjective Optimization

Claus Hillermeier
Nonlinear Multiobjective Optimization Book PDF

Author : Claus Hillermeier
Publisher : Birkhäuser
Page : 135 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882804

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Nonlinear Multiobjective Optimization by Claus Hillermeier Pdf

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.

Multi-Objective Optimization using Evolutionary Algorithms

Kalyanmoy Deb
Multi Objective Optimization using Evolutionary Algorithms Book PDF

Author : Kalyanmoy Deb
Publisher : John Wiley & Sons
Page : 540 pages
File Size : 48,9 Mb
Release : 2001-07-05
Category : Mathematics
ISBN : 047187339X

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Multi-Objective Optimization using Evolutionary Algorithms by Kalyanmoy Deb Pdf

Optimierung mit mehreren Zielen, evolutionäre Algorithmen: Dieses Buch wendet sich vorrangig an Einsteiger, denn es werden kaum Vorkenntnisse vorausgesetzt. Geboten werden alle notwendigen Grundlagen, um die Theorie auf Probleme der Ingenieurtechnik, der Vorhersage und der Planung anzuwenden. Der Autor gibt auch einen Ausblick auf Forschungsaufgaben der Zukunft.