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＜電子ブック＞
Integer Programming / by Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli
(Graduate Texts in Mathematics. ISSN:21975612 ; 271)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XII, 456 p. 75 illus : online resource
著者標目	*Conforti, Michele author Cornuéjols, Gérard author Zambelli, Giacomo author SpringerLink (Online service)
件　名	LCSH:Operations research LCSH:Management science LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Algorithms FREE:Operations Research, Management Science FREE:Convex and Discrete Geometry FREE:Algorithms
一般注記	Preface -- 1 Getting Started -- 2 Integer Programming Models -- 3 Linear Inequalities and Polyhedra -- 4 Perfect Formulations -- 5 Split and Gomory Inequalities -- 6 Intersection Cuts and Corner Polyhedra -- 7 Valid Inequalities for Structured Integer Programs -- 8 Reformulations and Relaxations -- 9 Enumeration -- 10 Semidefinite Bounds -- Bibliography -- Index This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study. Key topics include: formulations polyhedral theory cutting planes decomposition enumeration semidefinite relaxations Written by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field HTTP:URL=https://doi.org/10.1007/978-3-319-11008-0

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