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＜電子ブック＞
Linear Programming 2 : Theory and Extensions / by George B. Dantzig, Mukund N. Thapa
(Springer Series in Operations Research and Financial Engineering. ISSN:21971773)

版	1st ed. 2003.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2003
本文言語	英語
大きさ	XXVI, 448 p : online resource
著者標目	*Dantzig, George B author Thapa, Mukund N author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Industrial engineering LCSH:Production engineering LCSH:Operations research FREE:Optimization FREE:Industrial and Production Engineering FREE:Operations Research and Decision Theory
一般注記	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 -- Stochastic Programming: Introduction -- Two-Stage Stochastic Programs 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 HTTP:URL=https://doi.org/10.1007/b97283

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