| 书目名称 | Linear and Integer Programming vs Linear Integration and Counting | | 副标题 | A Duality Viewpoint | | 编辑 | Jean-Bernard Lasserre | | 视频video | | | 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 | | 丛书名称 | Springer Series in Operations Research and Financial Engineering | | 图书封面 |  | | 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 | | 关键词 | Brion; Vergne; algorithms; interger programming; linear integration; linear optimization; linear programmi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-09414-4 | | isbn_softcover | 978-1-4419-1853-6 | | isbn_ebook | 978-0-387-09414-4Series ISSN 1431-8598 Series E-ISSN 2197-1773 | | issn_series | 1431-8598 | | copyright | Springer-Verlag New York 2009 |
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发表于 2025-3-21 16:21:32
