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This book offers a comprehensive treatment of linear programming as well as of the optimization of linear functions over polyhedra in finite dimensional Euclidean vector spaces. An introduction surveying fifty years of linear optimization is given. Here are the book's main topics.
Simplex algorithms and their derivatives, the duality theory of linear programming. Polyhedral theory, pointwise and linear descriptions of double description algorithms, Gaussian elimination with and without division, the complexity of simplex steps. Projective algorithms, the geometry of projective algorithms, Newtonian barrier methods. Ellipsoid algorithms in perfect and in finite precision arithmetic, the equivalence of linear optimization and polyhedral separation.
The foundations of mixed integer programming. The book can serve both as a graduate textbook and as a text for advanced topics classes or seminars. Exercises as well as several case studies are included.
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Subjects
Linear programming, Mathematical optimizationShowing 2 featured editions. View all 2 editions?
Edition | Availability |
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1
Linear optimization and extensions
1999, Springer
in English
- 2nd, rev. and expanded ed.
3540658335 9783540658337
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2 |
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Book Details
Edition Notes
Includes bibliographical references (p. [431]-444) and index.
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- Created April 1, 2008
- 8 revisions
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July 17, 2024 | Edited by MARC Bot | import existing book |
July 1, 2023 | Edited by ImportBot | import existing book |
November 18, 2020 | Edited by MARC Bot | import existing book |
July 31, 2010 | Edited by IdentifierBot | added LibraryThing ID |
April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |