Multiobjective Optimization

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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 : 41,5 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.

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 : 49,7 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.

Nonlinear Multiobjective Optimization

Kaisa Miettinen
Nonlinear Multiobjective Optimization Book PDF

Author : Kaisa Miettinen
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 45,7 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.

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 : 50,8 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.

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 : 40,6 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

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 : 48,9 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 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 : 51,7 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.

Multicriteria Optimization

Matthias Ehrgott
Multicriteria Optimization Book PDF

Author : Matthias Ehrgott
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 40,5 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

Nonlinear Multiobjective Optimization

Kaisa Miettinen
Nonlinear Multiobjective Optimization Book PDF

Author : Kaisa Miettinen
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 55,5 Mb
Release : 1999
Category : Business & Economics
ISBN : 0792382781

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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

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 : 43,9 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.

Genetic Algorithms and Fuzzy Multiobjective Optimization

Masatoshi Sakawa
Genetic Algorithms and Fuzzy Multiobjective Optimization Book PDF

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 43,7 Mb
Release : 2002
Category : Business & Economics
ISBN : 0792374525

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Genetic Algorithms and Fuzzy Multiobjective Optimization by Masatoshi Sakawa Pdf

Since the introduction of genetic algorithms in the 1970s, an enormous number of articles together with several significant monographs and books have been published on this methodology. As a result, genetic algorithms have made a major contribution to optimization, adaptation, and learning in a wide variety of unexpected fields. Over the years, many excellent books in genetic algorithm optimization have been published; however, they focus mainly on single-objective discrete or other hard optimization problems under certainty. There appears to be no book that is designed to present genetic algorithms for solving not only single-objective but also fuzzy and multiobjective optimization problems in a unified way. Genetic Algorithms And Fuzzy Multiobjective Optimization introduces the latest advances in the field of genetic algorithm optimization for 0-1 programming, integer programming, nonconvex programming, and job-shop scheduling problems under multiobjectiveness and fuzziness. In addition, the book treats a wide range of actual real world applications. The theoretical material and applications place special stress on interactive decision-making aspects of fuzzy multiobjective optimization for human-centered systems in most realistic situations when dealing with fuzziness. The intended readers of this book are senior undergraduate students, graduate students, researchers, and practitioners in the fields of operations research, computer science, industrial engineering, management science, systems engineering, and other engineering disciplines that deal with the subjects of multiobjective programming for discrete or other hard optimization problems under fuzziness. Real world research applications are used throughout the book to illustrate the presentation. These applications are drawn from complex problems. Examples include flexible scheduling in a machine center, operation planning of district heating and cooling plants, and coal purchase planning in an actual electric power plant.

Fuzzy Sets and Interactive Multiobjective Optimization

Masatoshi Sakawa
Fuzzy Sets and Interactive Multiobjective Optimization Book PDF

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 44,5 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781489916334

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Fuzzy Sets and Interactive Multiobjective Optimization by Masatoshi Sakawa Pdf

The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

Nonlinear Multiobjective Optimization

Claus Hillermeier
Nonlinear Multiobjective Optimization Book PDF

Author : Claus Hillermeier
Publisher : Birkhäuser
Page : 135 pages
File Size : 51,8 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

Gade Pandu Rangaiah
Multi Objective Optimization Book PDF

Author : Gade Pandu Rangaiah
Publisher : World Scientific
Page : 454 pages
File Size : 40,6 Mb
Release : 2009
Category : Technology & Engineering
ISBN : 9789812836526

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Multi-Objective Optimization by Gade Pandu Rangaiah Pdf

Optimization has been playing a key role in the design, planning and operation of chemical and related processes for nearly half a century. Although process optimization for multiple objectives was studied by several researchers back in the 1970s and 1980s, it has attracted active research in the last 10 years, spurred by the new and effective techniques for multi-objective optimization. In order to capture this renewed interest, this monograph presents the recent and ongoing research in multi-optimization techniques and their applications in chemical engineering. Following a brief introduction and general review on the development of multi-objective optimization applications in chemical engineering since 2000, the book gives a description of selected multi-objective techniques and then goes on to discuss chemical engineering applications. These applications are from diverse areas within chemical engineering, and are presented in detail. All chapters will be of interest to researchers in multi-objective optimization and/or chemical engineering; they can be read individually and used in one''s learning and research. Several exercises are included at the end of many chapters, for use by both practicing engineers and students.

Multi-Objective Combinatorial Optimization Problems and Solution Methods

Mehdi Toloo,Siamak Talatahari,Iman Rahimi
Multi Objective Combinatorial Optimization Problems and Solution Methods Book PDF

Author : Mehdi Toloo,Siamak Talatahari,Iman Rahimi
Publisher : Academic Press
Page : 316 pages
File Size : 50,8 Mb
Release : 2022-02-09
Category : Science
ISBN : 9780128238004

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Multi-Objective Combinatorial Optimization Problems and Solution Methods by Mehdi Toloo,Siamak Talatahari,Iman Rahimi Pdf

Multi-Objective Combinatorial Optimization Problems and Solution Methods discusses the results of a recent multi-objective combinatorial optimization achievement that considered metaheuristic, mathematical programming, heuristic, hyper heuristic and hybrid approaches. In other words, the book presents various multi-objective combinatorial optimization issues that may benefit from different methods in theory and practice. Combinatorial optimization problems appear in a wide range of applications in operations research, engineering, biological sciences and computer science, hence many optimization approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic and algebraic techniques. This book covers this important topic as computational optimization has become increasingly popular as design optimization and its applications in engineering and industry have become ever more important due to more stringent design requirements in modern engineering practice. Presents a collection of the most up-to-date research, providing a complete overview of multi-objective combinatorial optimization problems and applications Introduces new approaches to handle different engineering and science problems, providing the field with a collection of related research not already covered in the primary literature Demonstrates the efficiency and power of the various algorithms, problems and solutions, including numerous examples that illustrate concepts and algorithms