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Linear Programming Theory and Extensions

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ISBN-10: 0387986138

ISBN-13: 9780387986135

Edition: 2003

Authors: George B. Dantzig, Mukund N. Thapa

List price: $109.00
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Description:

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…    
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Book details

List price: $109.00
Copyright year: 2003
Publisher: Springer
Publication date: 7/30/2003
Binding: Hardcover
Pages: 448
Size: 7.00" wide x 9.25" long x 1.25" tall
Weight: 2.090
Language: English

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