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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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Jean-Bernard LasserreAnalyzes 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
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Springer Series in Operations Research and Financial Engineeringhttp://image.papertrans.cn/l/image/586456.jpg
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Duality and Gomory RelaxationsThe last part of the book is mainly concerned with duality results for the integer programming poblem ... We relate the old agebraic concept of Gomory relaxation with results of previous chapters. We also provide some new duality results and relate them to superadditivity.
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Barvinok’s Counting Algorithm and Gomory RelaxationsAs already mentioned, solving the integer program .. is still a formidable computational challenge. For instance, recall that the following small 5-variables integer program (taken from a list of hard knapsack problems in Aardal and Lenstra [2])
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978-1-4419-1853-6Springer-Verlag New York 2009
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Linear and Integer Programming vs Linear Integration and Counting978-0-387-09414-4Series ISSN 1431-8598 Series E-ISSN 2197-1773
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https://doi.org/10.1007/978-0-387-09414-4Brion; Vergne; algorithms; interger programming; linear integration; linear optimization; linear programmi
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