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Book
Multicriteria Optimization
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ISBN: 3540276599 Year: 2005 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Abstract

Decision makers in many areas, from industry to engineering and the social sector, face an increasing need to consider multiple, conflicting objectives in their decision processes. In many cases these real world decision problems can be formulated as multicriteria mathematical optimization models. The solution of such models requires appropriate techniques to compute so called efficient, or Pareto optimal, or compromise solutions that - unlike traditional mathematical programming methods - take the contradictory nature of the criteria into account. This book provides the necessary mathematical foundation of multicriteria optimization to solve nonlinear, linear and combinatorial problems with multiple criteria. Motivational examples illustrate the use of multicriteria optimization in practice. Numerous illustrations and exercises as well as an extensive bibliography are provided. In the new edition a chapter on optimality conditions has been added. The linear programming part has been extended and includes new developments. Moreover, motivational examples are now introducing the majority of chapters.

Multicriteria optimization
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ISBN: 3540678697 3662221993 9783540678694 Year: 2000 Publisher: Berlin Springer

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Life is about decisions. Decisions, no matter if made by a group or an indi­ vidual, involve several conflicting objectives. The observation that real world problems have to be solved optimally according to criteria, which prohibit an "ideal" solution - optimal for each decision-maker under each of the criteria considered - has led to the development of multicriteria optimization. From its first roots, which where laid by Pareto at the end of the 19th century the discipline has prospered and grown, especially during the last three decades. Today, many decision support systems incorporate methods to deal with conflicting objectives. The foundation for such systems is a mathematical theory of optimization under multiple objectives. Fully aware of the fact that there have been excellent textbooks on the topic before, I do not claim that this is better text, but it has a has a consid­ erably different focus. Some of the available books develop the mathematical background in great depth, such as [SNT85, GN90, Jah86). Others focus on a specific structure of the problems covered as [Zel74, Ste85, Mie99) or on methodology [Yu85, CH83a, HM79). Finally there is the area of multicriteria decision aiding [Roy96, Vin92, KR93), the main goal of which is to help deci­ sion makers find the final solution (among many "optimal" ones) eventually to be implemented.

Multicriteria optimization
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ISBN: 3540213988 3642059759 3540276599 9783540213987 Year: 2005 Publisher: Berlin: Springer,

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Digital
Multicriteria Optimization
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ISBN: 9783540276593 Year: 2005 Publisher: Berlin, Heidelberg Springer Berlin · Heidelberg

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Multiple criteria optimization : classification and methodology
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ISBN: 3826528387 Year: 1997 Publisher: Aachen : Shaker,

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Lexicographic Max-ordering : a solution concept for multicriteria combinatorial optimization
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Year: 1995 Publisher: Kaiserslautern Universität Kaiserslautern. Fachbereich Mathematik

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A note on approximation algorithms for the multicriteria ...-TSP
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Year: 1995 Publisher: Kaiserslautern Universität Kaiserslautern. Fachbereich Mathematik

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On matroids with multiple objectives
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Year: 1995 Publisher: Kaiserslautern Universität Kaiserslautern. Fachbereich Mathematik

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Multiple criteria optimization : state of the art annotated bibliographic surveys
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Year: 2002 Publisher: Dordrecht : Kluwer,

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Book
Evolutionary multi-criterion optimization : 5th international conference, EMO 2009, Nantes, France, April 7-10, 2009 ; proceedings
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ISBN: 3642010199 3642010202 Year: 2009 Publisher: Berlin : Springer,

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This book constitutes the refereed proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2009, held in Nantes, France in April 2009. The 39 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on theoretical analysis, uncertainty and noise, algorithm development, performance analysis and comparison, applications, MCDM Track, Many objectives, alternative methods, as well as EMO and MCDA.

Keywords

Multiple criteria decision making --- Mathematical optimization --- Computer Science --- Operations Research --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Computer science. --- Computer programming. --- Computers. --- Algorithms. --- Numerical analysis. --- Artificial intelligence. --- Computer Science. --- Programming Techniques. --- Theory of Computation. --- Artificial Intelligence (incl. Robotics). --- Algorithm Analysis and Problem Complexity. --- Numeric Computing. --- Information theory. --- Computer software. --- Electronic data processing. --- Artificial Intelligence. --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Software, Computer --- Computer systems --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Communication theory --- Communication --- Cybernetics --- Informatics --- Science --- Automation --- Mathematical analysis --- Algorism --- Algebra --- Arithmetic --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Calculators --- Cyberspace --- Electronic computer programming --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Foundations --- Programming --- Numerical Analysis.

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