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Linear programming. / 2, Theory and extensions

Verfasser/in: George B Dantzig; Mukund Narain Thapa
Verlag: New York : Springer, ©2003.
Serien: Springer series in operations research.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: George B Dantzig; Mukund Narain Thapa
ISBN: 0387215697 9780387215693 1280188812 9781280188817
OCLC-Nummer: 56138101
Beschreibung: 1 online resource.
Inhalt: 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.
Serientitel: Springer series in operations research.
Andere Titel Theory and extensions
Verfasserangabe: 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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