Linear Optimization and Approximation

Name: Linear Optimization and Approximation
Brand: Springer-Verlag New York Inc.
SKU: 9780387908571
Price: 50.19 EUR
Availability: InStock

An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-infinite Programs

Autor: K. Glashoff, S.-A. Gustafson

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag New York Inc.

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A linear optimization problem is the task of minimizing a linear real-valued function of finitely ma...

Informácie o knihe

Autor

K. Glashoff, S.-A. Gustafson

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Stránok

212

EAN

9780387908571

ISBN

0387908579

Enbook ID

01383803

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

670

Rozmery

155 x 235 x 12

Kompletný popis

A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con straints; in general there may be infinitely many constraints. This book is devoted to such problems. Their mathematical properties are investi gated and algorithms for their computational solution are presented. Applications are discussed in detail. Linear optimization problems are encountered in many areas of appli cations. They have therefore been subject to mathematical analysis for a long time. We mention here only two classical topics from this area: the so-called uniform approximation of functions which was used as a mathematical tool by Chebyshev in 1853 when he set out to design a crane, and the theory of systems of linear inequalities which has already been studied by Fourier in 1823. We will not treat the historical development of the theory of linear optimization in detail. However, we point out that the decisive break through occurred in the middle of this century. It was urged on by the need to solve complicated decision problems where the optimal deployment of military and civilian resources had to be determined. The availability of electronic computers also played an important role. The principal computational scheme for the solution of linear optimization problems, the simplex algorithm, was established by Dantzig about 1950. In addi tion, the fundamental theorems on such problems were rapidly developed, based on earlier published results on the properties of systems of linear inequalities.

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Linear Optimization and Approximation

An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-infinite Programs

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Kompletný popis

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