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## Details

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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