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Titlebook: Linear and Integer Programming vs Linear Integration and Counting; A Duality Viewpoint Jean-Bernard Lasserre Book 2009 Springer-Verlag New

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書目名稱Linear and Integer Programming vs Linear Integration and Counting
副標題A Duality Viewpoint
編輯Jean-Bernard Lasserre
視頻videohttp://file.papertrans.cn/587/586456/586456.mp4
概述Analyzes and compares four closely related nontrivial problems, namely linear programming, integer programming, linear integration, linear summation (or counting) with a focus on duality.Provides some
叢書名稱Springer Series in Operations Research and Financial Engineering
圖書封面Titlebook: Linear and Integer Programming vs Linear Integration and Counting; A Duality Viewpoint Jean-Bernard Lasserre Book 2009 Springer-Verlag New
描述.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 use
出版日期Book 2009
關鍵詞Brion; Vergne; algorithms; interger programming; linear integration; linear optimization; linear programmi
版次1
doihttps://doi.org/10.1007/978-0-387-09414-4
isbn_softcover978-1-4419-1853-6
isbn_ebook978-0-387-09414-4Series ISSN 1431-8598 Series E-ISSN 2197-1773
issn_series 1431-8598
copyrightSpringer-Verlag New York 2009
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