Nonlinear Multiobjective Optimization

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...

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1. Verfasser: Miettinen, Kaisa (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: New York, NY Springer US 1998
Ausgabe:1st ed. 1998
Schriftenreihe:International Series in Operations Research & Management Science 12
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520 |a 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 
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spelling Miettinen, Kaisa Verfasser aut
Nonlinear Multiobjective Optimization by Kaisa Miettinen
1st ed. 1998
New York, NY Springer US 1998
1 Online-Ressource (XXI, 298 p)
txt rdacontent
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cr rdacarrier
International Series in Operations Research & Management Science 12
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
Operations Research/Decision Theory
Optimization
Calculus of Variations and Optimal Control; Optimization
Operations research
Decision making
Mathematical optimization
Calculus of variations
Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf
Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf
Mehrkriterielle Optimierung (DE-588)4610682-0 s
Nichtlineare Optimierung (DE-588)4128192-5 s
DE-604
Erscheint auch als Druck-Ausgabe 9780792382782
Erscheint auch als Druck-Ausgabe 9781461375449
Erscheint auch als Druck-Ausgabe 9781461555643
https://doi.org/10.1007/978-1-4615-5563-6 Verlag URL des Erstveröffentlichers Volltext
spellingShingle Miettinen, Kaisa
Nonlinear Multiobjective Optimization
Operations Research/Decision Theory
Optimization
Calculus of Variations and Optimal Control; Optimization
Operations research
Decision making
Mathematical optimization
Calculus of variations
Nichtlineare Optimierung (DE-588)4128192-5 gnd
Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
subject_GND (DE-588)4128192-5
(DE-588)4610682-0
title Nonlinear Multiobjective Optimization
title_auth Nonlinear Multiobjective Optimization
title_exact_search Nonlinear Multiobjective Optimization
title_full Nonlinear Multiobjective Optimization by Kaisa Miettinen
title_fullStr Nonlinear Multiobjective Optimization by Kaisa Miettinen
title_full_unstemmed Nonlinear Multiobjective Optimization by Kaisa Miettinen
title_short Nonlinear Multiobjective Optimization
title_sort nonlinear multiobjective optimization
topic Operations Research/Decision Theory
Optimization
Calculus of Variations and Optimal Control; Optimization
Operations research
Decision making
Mathematical optimization
Calculus of variations
Nichtlineare Optimierung (DE-588)4128192-5 gnd
Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
topic_facet Operations Research/Decision Theory
Optimization
Calculus of Variations and Optimal Control; Optimization
Operations research
Decision making
Mathematical optimization
Calculus of variations
Nichtlineare Optimierung
Mehrkriterielle Optimierung
url https://doi.org/10.1007/978-1-4615-5563-6
work_keys_str_mv AT miettinenkaisa nonlinearmultiobjectiveoptimization