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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.
Mathematical optimization. --- Multiple criteria decision making. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Decision making with multiple objectives --- MCDM (Decision making) --- Multiattribute decisions --- Multicriteria decision analysis --- Multicriteria decision making --- Multicriteria decision making analysis --- Multiobjective decision making --- Multiple objective decision making --- Decision making --- Operations research. --- Industrial engineering. --- Operations Research/Decision Theory. --- Optimization. --- Industrial and Production Engineering. --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Decision making. --- Production engineering. --- Manufacturing engineering --- Process engineering --- Mechanical engineering --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving
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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.
Mathematical optimization --- Multiple criteria decision making --- Operational research. Game theory --- Operations research. --- Decision making. --- Operations Research/Decision Theory. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Decision making
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Operational research. Game theory --- Engineering sciences. Technology --- Computer. Automation --- automatisering --- speltheorie --- operationeel onderzoek --- ingenieurswetenschappen
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ANALYSE MULTI-CRITERE --- OPTIMISATION MATHEMATIQUE --- BIBLIOGRAPHIE --- BIBLIOGRAPHIE --- ANALYSE MULTI-CRITERE --- OPTIMISATION MATHEMATIQUE --- BIBLIOGRAPHIE --- BIBLIOGRAPHIE
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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.
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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