Multicriteria Optimization in Engineering and in the Sciences by Wolfram Stadler
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 surroundings- 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.-
Problems and Methods of Optimal Structural Design
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Principles of Optimal Control Theory
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Real and Functional Analysis
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Optimal Control of Distributed Nuclear Reactors
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Structural Optimization
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Control, Identification, and Input Optimization
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Applied Optimal Control Theory of Distributed Systems
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Multicriteria Decision Making and Differential Games
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Unified Plasticity for Engineering Applications
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Nonlinear Effects in Fluids and Solids
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Constrained Optimization and Image Space Analysis
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Advanced Design Problems in Aerospace Engineering
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Principles and Procedures of Numerical Analysis
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Principles of Engineering Mechanics
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Optimal Control Applications in Electric Power Systems
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Applications of Functional Analysis in Engineering
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Mathematical Principles of Mechanics and Electromagnetism
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Applied Mathematics in Aerospace Science and Engineering
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Theory and Applications of Partial Differential Equations
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Integral Transforms in Science and Engineering
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Solution Methods for Integral Equations
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Applied Probability
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Introduction to the Laplace Transform
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The Calculus of Variations and Optimal Control
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Numerical Solution of Integral Equations
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Mathematical Logic
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Dynamical Systems and Evolution Equations
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Advances in Geometric Programming
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Differential Equations with Small Parameters and Relaxation Oscillations
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Topology and Maps
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Dynamic Optimization and Mathematical Economics
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Applied Mathematics
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Numerical Derivatives and Nonlinear Analysis
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Optimal Long-Term Operation of Electric Power Systems
| SKU | Unavailable |
| ISBN 13 | 9781489937360 |
| ISBN 10 | 1489937366 |
| Title | Multicriteria Optimization in Engineering and in the Sciences |
| Author | Wolfram Stadler |
| Series | Mathematical Concepts And Methods In Science And Engineering |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2014-01-09 |
| Number of pages | 406 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |