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Multicriteria Optimization in Engineering and in the Sciences

  • Book
  • © 1988

Overview

Editors:
  1. Wolfram Stadler

    1. San Francisco State University, San Francisco, USA

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Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 37)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Fundamentals of Multicriteria Optimization

    • Wolfram Stadler
    Pages 1-25

  3. Numerically Analyzing Linear Multicriteria Optimization Problems

    • Jerald P. Dauer
    Pages 27-47

  4. Applications of Multicriteria Optimization in Approximation Theory

    • J. Jahn, W. Krabs
    Pages 49-75

  5. Welfare Economics and the Vector Maximum Problem

    • N. Schulz
    Pages 77-116

  6. Multicriterion Optimization in Resources Planning

    • Jared L. Cohon, Giuseppe Scavone, Rajendra Solanki
    Pages 117-160

  7. Renewable Resource Management

    • Thomas L. Vincent
    Pages 161-186

  8. Competition, Kin Selection, and Evolutionary Stable Strategies

    • M. Mirmirani, G. Oster
    Pages 187-223

  9. Multicriteria Optimization Methods for Design of Aircraft Control Systems

    • Albert A. Schy, Daniel P. Giesy
    Pages 225-262

  10. Multicriteria Truss Optimization

    • Juhani Koski
    Pages 263-307

  11. Multicriteria Optimization Techniques for Highly Accurate Focusing Systems

    • Hans A. Eschenauer
    Pages 309-354

  12. Natural Structural Shapes (A Unified Optimal Design Philosophy)

    • Wolfram Stadler
    Pages 355-390

  13. Back Matter

    Pages 391-405
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Keywords

About this book

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.

Editors and Affiliations

  • San Francisco State University, San Francisco, USA

    Wolfram Stadler

Bibliographic Information

  • Book Title: Multicriteria Optimization in Engineering and in the Sciences

  • Editors: Wolfram Stadler

  • Series Title: Mathematical Concepts and Methods in Science and Engineering

  • DOI: https://doi.org/10.1007/978-1-4899-3734-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1988

  • Hardcover ISBN: 978-0-306-42743-5Published: 31 March 1988

  • Softcover ISBN: 978-1-4899-3736-0Published: 09 January 2014

  • eBook ISBN: 978-1-4899-3734-6Published: 14 December 2013

  • Edition Number: 1

  • Number of Pages: XIV, 406

  • Topics: Optimization, Automotive Engineering

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