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Numerical Optimization (2006)

Numerical Optimization (2006)

No customer reviews yet ISBN 9780387303031 Springer

The new edition of this book presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. Its publication responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. This new edition has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are widely used in practice and are the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience including graduate students, researchers and practitioners. The authors have produced a text that is pleasant to read, informative and rigorous. It reveals both the beautiful nature of the discipline and its practical side.

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BrandSpringer
Pub dateJul 27, 2006
ISBN-100387303030
ISBN-139780387303031
LanguageEnglish
Dimensions10 × 1.44 × 7 in
Weight7 lb
Last updated 2026-09-19 14:50
$83.45
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Multicriteria Optimization in Engineering and in the Sciences (1988)
We are rarely asked to. make decisions based on only one criterion&#x3b; 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.
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