Author | Padberg, Manfred. author |
---|---|

Title | Linear Optimization and Extensions [electronic resource] / by Manfred Padberg |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999 |

Edition | Second, Revised and Expanded Edition |

Connect to | http://dx.doi.org/10.1007/978-3-662-12273-0 |

Descript | XXI, 501 p. online resource |

SUMMARY

I was pleasantly surprised when I was asked by Springer-Verlag to prepare a second edition of this volume on Linear Optimization and Extensions, which - not exactly contrary to my personal expectations - has apparently been accepted reasonably weIl by the global optimization community. My objective in putting this book together was originally - and still is - to detail the major algorithmic ideas in linear optimization that have evolved in the past fifty years or so and that have changed the historical optimization "landscape" in substantial ways - both theoretically and computationally. While I may have overlooked the importance of some very recent developments - the work by Farid Alizadeh which generalizes linear programming to "sem i-definite" programming is perhaps a candidate for one of my omissions - I think that major new breakthraughs on those two fronts that interest me - theory and computation - have not occurred since this book was published originally. As a consequence I have restricted myself to a thorough re-working of the original manuscript with the goal of making it more readable. Of course, I have taken this opportunity to correct a few "Schรถnheitsfehler" of the first edition and to add some illustrations. The index to this volume has been extended substantially - to permit a hurried reader a quicker glance at the wealth of topics that were covered nevertheless already in the first edition. As was the case with the first edition, Dr

CONTENT

The Linear Programming Problem -- Basic Concepts -- Five Preliminaries -- Simplex Algorithms -- Primal-Dual Pairs -- Analytical Geometry -- Projective Algorithms -- Ellipsoid Algorithms -- Combinatorial Optimization: An Introduction

Mathematics
Operations research
Decision making
Mathematical optimization
Calculus of variations
Discrete mathematics
Combinatorics
Economic theory
Mathematics
Optimization
Discrete Mathematics
Economic Theory/Quantitative Economics/Mathematical Methods
Combinatorics
Operation Research/Decision Theory
Calculus of Variations and Optimal Control; Optimization