Linear Programming 2: Theory and Extensions / Edition 1

Linear Programming 2: Theory and Extensions / Edition 1

ISBN-10:
1441931406
ISBN-13:
9781441931405
Pub. Date:
12/06/2010
Publisher:
Springer New York
ISBN-10:
1441931406
ISBN-13:
9781441931405
Pub. Date:
12/06/2010
Publisher:
Springer New York
Linear Programming 2: Theory and Extensions / Edition 1

Linear Programming 2: Theory and Extensions / Edition 1

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Overview

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.

Product Details

ISBN-13: 9781441931405
Publisher: Springer New York
Publication date: 12/06/2010
Series: Springer Series in Operations Research and Financial Engineering
Edition description: Softcover reprint of hardcover 1st ed. 2003
Pages: 448
Product dimensions: 7.01(w) x 10.00(h) x 0.04(d)

Table of Contents

Geometry of Linear Inequality Systems & 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 Thegrams.- Generalized Upper Bounds.- Decomposition of Large-Scale Systems.- Shastic Programming: Introduction.- Two-Stage Shastic Programs.
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