New Embaddings For Nonlinear Multiobjective Optimization Problems I
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New Embaddings For Nonlinear Multiobjective Optimization Problems I
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Author : Jürgen Guddat
language : en
Publisher:
Release Date : 1998
New Embaddings For Nonlinear Multiobjective Optimization Problems I written by Jürgen Guddat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
New Embeddings For Nonlinear Multiobjective Optimization Problems
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Author : Jürgen Guddat
language : en
Publisher:
Release Date : 1998
New Embeddings For Nonlinear Multiobjective Optimization Problems written by Jürgen Guddat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
New Embedding For Nonlinear Multiobjective Optimization Problems I
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Author : Jürgen Guddat
language : en
Publisher:
Release Date : 1998
New Embedding For Nonlinear Multiobjective Optimization Problems I written by Jürgen Guddat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Nonlinear Multiobjective Optimization
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Author : Kaisa Miettinen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Multiobjective Optimization written by Kaisa Miettinen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
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.
Nonlinear Multiobjective Optimization
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Author : Claus Hillermeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Nonlinear Multiobjective Optimization written by Claus Hillermeier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
New Optimality Conditions For Nonlinear Multiobjective Optimization Problems And New Scalarization Technqiues For Constructing Pathological Pareto Fronts
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Author : Mohammed Mustafa Rizvi
language : en
Publisher:
Release Date : 2013
New Optimality Conditions For Nonlinear Multiobjective Optimization Problems And New Scalarization Technqiues For Constructing Pathological Pareto Fronts written by Mohammed Mustafa Rizvi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematical optimization categories.
Recent Advances In Nonlinear Analysis And Optimization With Applications
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Author : Savin Treanţă
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-09-30
Recent Advances In Nonlinear Analysis And Optimization With Applications written by Savin Treanţă and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Mathematics categories.
This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.
Multiobjective Optimization
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Author : Jürgen Branke
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-15
Multiobjective Optimization written by Jürgen Branke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-15 with Computers categories.
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 Problem Solving From Nature
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Author : Joshua Knowles
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-28
Multiobjective Problem Solving From Nature written by Joshua Knowles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-28 with Computers categories.
This text examines how multiobjective evolutionary algorithms and related techniques can be used to solve problems, particularly in the disciplines of science and engineering. Contributions by leading researchers show how the concept of multiobjective optimization can be used to reformulate and resolve problems in areas such as constrained optimization, co-evolution, classification, inverse modeling, and design.
Non Convex Multi Objective Optimization
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Author : Panos M. Pardalos
language : en
Publisher: Springer
Release Date : 2017-07-27
Non Convex Multi Objective Optimization written by Panos M. Pardalos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with Mathematics categories.
Recent results on non-convex multi-objective optimization problems and methods are presented in this book, with particular attention to expensive black-box objective functions. Multi-objective optimization methods facilitate designers, engineers, and researchers to make decisions on appropriate trade-offs between various conflicting goals. A variety of deterministic and stochastic multi-objective optimization methods are developed in this book. Beginning with basic concepts and a review of non-convex single-objective optimization problems; this book moves on to cover multi-objective branch and bound algorithms, worst-case optimal algorithms (for Lipschitz functions and bi-objective problems), statistical models based algorithms, and probabilistic branch and bound approach. Detailed descriptions of new algorithms for non-convex multi-objective optimization, their theoretical substantiation, and examples for practical applications to the cell formation problem in manufacturing engineering, the process design in chemical engineering, and business process management are included to aide researchers and graduate students in mathematics, computer science, engineering, economics, and business management.