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Springer Series in Operations Research #02: Linear Programming: 2: Theory and Extensions

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Springer Series in Operations Research #02: Linear Programming: 2: Theory and Extensions Cover

 

Synopses & Reviews

Publisher Comments:

Linear programming represents one of the major applications of mathematics to business, industry, and economics. It provides a methodology for optimizing an output given that is a linear function of a number of inputs. George Dantzig is widely regarded as the founder of the subject with his invention of the simplex algorithm in the 1940's. This second volume is intended to add to the theory of the items discussed in the first volume. It also includes additional advanced topics such as variants of the simplex method, interior point methods (early and current methods), GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering, and applied mathematics will find this volume of particular interest.

Synopsis:

George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.

Table of Contents

Geometry of Linear Inequality Systems and the Simplex Method * Duality and Theorems of the Alternatives * Early Interior-Point Methods * Interior-Point Methods * Degeneracy * Variants of the Simplex Method * Transportation Problem and Variations * Network Flow Theory * Generalized Upper Bounds * Decomposition of Large-Scale Systems * Stochastic Programming: Introduction * Two-Stage Stochastic Programs * Appendix: Probability Theory: Overview

Product Details

ISBN:
9780387986135
Author:
Dantzig, George B.
Publisher:
Springer
Author:
Thapa, Mukund N.
Location:
New York, NY
Subject:
General
Subject:
Linear Programming
Subject:
Mathematics-Computer
Subject:
Applied
Subject:
OPTIMIZATION
Subject:
Industrial and Production Engineering
Subject:
Operations Research/Decision Theory
Subject:
Operation Research/Decision Theory
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Mathematical optimization
Subject:
Industrial engineering
Subject:
Operations Research
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Springer Series in Operations Research and Financial Engineering
Series Volume:
02
Publication Date:
July 2003
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
473
Dimensions:
235 x 155 mm 2500 gr

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Springer Series in Operations Research #02: Linear Programming: 2: Theory and Extensions New Hardcover
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Product details 473 pages Springer-Verlag - English 9780387986135 Reviews:
"Synopsis" by , George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.
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