Linear and Integer Programming vs Linear Integration and Counting pdf epub mobi txt 电子书下载 2024

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Lasserre, Jean-Bernard

springer

2009-5

182

$ 101.69

9780387094137

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发表于2024-11-04

Linear and Integer Programming vs Linear Integration and Counting epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Linear and Integer Programming vs Linear Integration and Counting pdf epub mobi txt 电子书下载 2024

图书描述

This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The focus is on duality and the novel approach 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 which are not very well-known in the optimization community. 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.

Linear and Integer Programming vs Linear Integration and Counting 下载 mobi epub pdf txt 电子书