<p>We are rarely asked to. make decisions based on only one criterion; most often, decisions are based on several usually confticting, criteria. In nature, if the design of a system evolves to some final, optimal state, then it must include a balance for the interaction of the system with its surrou
Multicriteria Optimization in Engineering and in the Sciences
β Scribed by Wolfram Stadler (auth.), Wolfram Stadler (eds.)
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Leaves
- 413
- Series
- Mathematical Concepts and Methods in Science and Engineering 37
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
We are rarely asked to. make decisions based on only one criterion; most often, decisions are based on several usually confticting, criteria. In nature, if the design of a system evolves to some final, optimal state, then it must include a balance for the interaction of the system with its surroundingsΒ certainly a design based on a variety of criteria. Furthermore, the diversity of nature's designs suggests an infinity of such optimal states. In another sense, decisions simultaneously optimize a finite number of criteria, while there is usually an infinity of optimal solutions. Multicriteria optimization provides the mathematical framework to accommodate these demands. Multicriteria optimization has its roots in mathematical economics, in particular, in consumer economics as considered by Edgeworth and Pareto. The critical question in an exchange economy concerns the "equilibrium point" at which each of N consumers has achieved the best possible deal for hirnself or herself. Ultimately, this is a collective decision in which any further gain by one consumer can occur only at the expense of at least one other consumer. Such an equilibrium concept was first introduced by Edgeworth in 1881 in his book on mathematical psychics. Today, such an optimum is variously called "Pareto optimum" (after the Italian-French welfare economist who continued and expanded Edgeworth's work), "effi. cient," "nondominated," and so on.
β¦ Table of Contents
Front Matter....Pages i-xiv
Fundamentals of Multicriteria Optimization....Pages 1-25
Numerically Analyzing Linear Multicriteria Optimization Problems....Pages 27-47
Applications of Multicriteria Optimization in Approximation Theory....Pages 49-75
Welfare Economics and the Vector Maximum Problem....Pages 77-116
Multicriterion Optimization in Resources Planning....Pages 117-160
Renewable Resource Management....Pages 161-186
Competition, Kin Selection, and Evolutionary Stable Strategies....Pages 187-223
Multicriteria Optimization Methods for Design of Aircraft Control Systems....Pages 225-262
Multicriteria Truss Optimization....Pages 263-307
Multicriteria Optimization Techniques for Highly Accurate Focusing Systems....Pages 309-354
Natural Structural Shapes (A Unified Optimal Design Philosophy)....Pages 355-390
Back Matter....Pages 391-405
β¦ Subjects
Optimization; Automotive Engineering
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Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate sol
Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate sol