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Linear programming. / 2, Theory and extensions

Author: George B Dantzig; Mukund Narain Thapa
Publisher: New York : Springer, ©2003.
Series: Springer series in operations research.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: George B Dantzig; Mukund Narain Thapa
ISBN: 0387215697 9780387215693 1280188812 9781280188817
OCLC Number: 56138101
Description: 1 online resource.
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.
Series Title: Springer series in operations research.
Other Titles: Theory and extensions
Responsibility: George B. Dantzig, Mukund N. Thapa.

Abstract:

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.

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