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Integer and Combinatorial Optimization / Edition 1

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Overview

Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION

"This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima

"A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews

"[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews

"This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society

"This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London

Also of interest . . .

INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998(0-471-28366-5) 260 pp.
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Editorial Reviews

Booknews
This graduate textbook focuses on the mathematical underpinnings of the algorithms that make it possible to solve the large and complex models that arise in practical applications. The three parts cover the foundations of discrete optimization theory and techniques, general integer programming, and highly structured combinatorial optimization problems. A reprint of the 1988 edition. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Pt. I Foundations 1
I.1 The Scope of Integer and Combinatorial Optimization 3
I.2 Linear Programming 27
I.3 Graphs and Networks 50
I.4 Polyhedral Theory 83
I.5 Computational Complexity 114
I.6 Polynomial-Time Algorithms for Linear Programming 146
I.7 Integer Lattices 182
Pt. II General Integer Programming 203
II.1 The Theory of Valid Inequalities 205
II.2 Strong Valid Inequalities and Facets for Structured Integer Programs 259
II.3 Duality and Relaxation 296
II.4 General Algorithms 349
II.5 Special-Purpose Algorithms 383
II.6 Applications of Special-Purpose Algorithms 433
Pt. III Combinatorial Optimization 533
III.1 Integral Polyhedra 535
III.2 Matching 608
III.3 Matroid and Submodular Function Optimization 659
References 721
Author Index 749
Subject Index 755
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