Cover image for Assignment problems
Title:
Assignment problems
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Publication Information:
Philadelphia : Society for Industrial and Applied Mathematics, 2009
Physical Description:
xx, 382 p. : ill. ; 26 cm.
ISBN:
9780898716634

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30000010175445 QA402.6 B87 2009 Open Access Book Book
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Summary

Summary

Assignment Problems is a useful tool for researchers, practitioners, and graduate students. It provides a comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. The authors have organised the book into 10 self-contained chapters to make it easy for readers to use the specific chapters without having to read the book linearly. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems, and many variations of these problems. Researchers will benefit from the detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its variations. Practitioners will learn about practical applications of the methods, the performance of exact and heuristic algorithms, and software options. This book also can serve as a text for advanced courses in discrete mathematics, integer programming, combinatorial optimization, and algorithmic computer science.


Table of Contents

Preface
1 Introduction
2 Theoretical foundations
3 Bipartite matching algorithms
4 Linear sum assignment problem: sequential algorithms
5 Further results on the linear sum assignment problem
6 Other types of linear assignment problems
7 Quadratic assignment problems: formulations and bounds
8 Quadratic assignment problems: algorithms
9 Other types of quadratic assignment problems
10 Multi-index assignment problems
Bibliography
Author index
Subject index