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Titlebook: Logic and Integer Programming; H. Paul Williams Textbook 2009 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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发表于 2025-3-21 19:14:47 | 显示全部楼层 |阅读模式
书目名称Logic and Integer Programming
编辑H. Paul Williams
视频video
概述Author is a leading authority on modeling in integer programming.Presents a breakthrough in using logic for more precise modeling in integer programming.A concise, clear introduction to the concepts,
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Logic and Integer Programming;  H. Paul Williams Textbook 2009 The Editor(s) (if applicable) and The Author(s), under exclusive license to
描述.Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such..
出版日期Textbook 2009
关键词discrete optimization; integer programming; logic; mathematical logic; mathematical programming; modeling
版次1
doihttps://doi.org/10.1007/978-0-387-92280-5
isbn_softcover978-1-4419-4713-0
isbn_ebook978-0-387-92280-5Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines
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发表于 2025-3-22 01:57:31 | 显示全部楼层
Integer Programming, the predicate calculus as discussed in Sect. 1.5 as well as demonstrating important properties of LP models which are relevant to IP. In Sect. 2.4 we discuss the comparative computational complexity of IP comparedwith LP. A list of references to the further study of LP is given in Sect. 2.5.
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Modelling In Logic For Integer Programming,In order to systematise the modelling of such conditions it is convenient to introduce 0–1 integer variables to represent the satisfaction, or otherwise, of such constraints. When this is done it is usually necessary to know the upper or lower bounds for the left-hand side of the constraint above.
发表于 2025-3-22 21:00:06 | 显示全部楼层
https://doi.org/10.1007/978-0-387-92280-5discrete optimization; integer programming; logic; mathematical logic; mathematical programming; modeling
发表于 2025-3-22 21:57:21 | 显示全部楼层
The Satisfiability Problem and Its Extensions,m also arises in the predicate calculus where it is necessary to consider if there are instantiations of the variables which make a statement true. The problem is equivalent to the inference and consistency problems mentioned in Chapter 1.
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978-1-4419-4713-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines
发表于 2025-3-23 07:01:08 | 显示全部楼层
Logic and Integer Programming978-0-387-92280-5Series ISSN 0884-8289 Series E-ISSN 2214-7934
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