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Linear and Integer Programming vs Linear Integration and Counting: A Duality Viewpoint (Springer Series in Operations Research and Financial Engineering) - Hardcover

 
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This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.

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In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rather novel as it puts integer programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlights the...

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  • PublisherSpringer
  • Publication date2009
  • ISBN 10 038709413X
  • ISBN 13 9780387094137
  • BindingHardcover
  • LanguageEnglish
  • Number of pages182

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ISBN 10:  1441918531 ISBN 13:  9781441918536
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Lasserre Jean B. Jean-Bernard Lasserre
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2 ills. XIII, 168 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped/gestempelt. Springer Series in Operations Research and Financial Engineering. Sprache: Englisch. Seller Inventory # 833FB

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rather novel as it puts integer programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlights the difference between the discrete and continuous cases. Central in the analysis are the continuous and discrete Brion and Vergne's formulae for linear integration and counting. This approach provides some new insights on duality concepts for integer programs, and also permits to retrieve and shed new light on some well-known results. For instance, Gomory relaxations and the abstract superadditive dual of integer programs are re-interpreted in this algebraic approach.This book will serve graduate students and researchers in applied mathematics, optimization, operations research and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will also find this book useful. 184 pp. Englisch. Seller Inventory # 9780387094137

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