Integer Programming

Author:   Michele Conforti ,  Gérard Cornuéjols ,  Giacomo Zambelli
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   271
ISBN:  

9783319110073


Pages:   456
Publication Date:   01 December 2014
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Integer Programming


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Overview

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.

Full Product Details

Author:   Michele Conforti ,  Gérard Cornuéjols ,  Giacomo Zambelli
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   271
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   8.218kg
ISBN:  

9783319110073


ISBN 10:   3319110071
Pages:   456
Publication Date:   01 December 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

From the book reviews: The authors deliver a comprehensive presentation of integer programming. ... Everything is presented in a rigorous way, but on the other hand, the form makes it easy to understand for everyone. Each chapter is followed by the exercises, that allow to recall the contents. ... the book is an essential text in the field of integer programing, that should be recommended as a very useful textbook for students, but also a valuable introduction for the researchers in this area. (Marcin Anholcer, zbMATH 1307.90001, 2015)


From the book reviews: The authors deliver a comprehensive presentation of integer programming. Everything is presented in a rigorous way, but on the other hand, the form makes it easy to understand for everyone. Each chapter is followed by the exercises, that allow to recall the contents. the book is an essential text in the field of integer programing, that should be recommended as a very useful textbook for students, but also a valuable introduction for the researchers in this area. (Marcin Anholcer, zbMATH 1307.90001, 2015)


Author Information

Michelangelo Conforti is Professor of Mathematics at the University of Padova. Together with G. Cornuéjols and M. R. Rao, he received the 2000 Fulkerson Prize in discrete mathematics. Gérard Cornuéjols is IBM University Professor of Operations Research at Carnegie Mellon University. His research has been recognized by numerous honors, among them the Fulkerson Prize, the Frederick W. Lanchester Prize, the Dantzig Prize, and the John von Neumann Theory Prize. Giacomo Zambelli is Associate Professor (Reader) of Management Science at the London School of Economics and Political Sciences. All three authors are leading experts in the fields of integer programming, graph theory, and combinatorial optimization.

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