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Exact and Heuristic Methods in Combinatorial Optimization : A Study on the Linear Ordering and the Maximum Diversity Problem - Gerhard Reinelt

Exact and Heuristic Methods in Combinatorial Optimization

A Study on the Linear Ordering and the Maximum Diversity Problem

By: Gerhard Reinelt, Rafael Marti

Hardcover | 10 March 2022 | Edition Number 2

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In the last decades, algorithmic advances as well as hardware and software improvements have provided an excellent environment to create and develop solving methods to hard optimization problems. Modern exact and heuristic techniques are dramatically enhancing our ability to solve significant practical problems. This monograph sets out state-of-the-art methodologies for solving combinatorial optimization problems, illustrating them with two well-known problems.

This second edition of the book extends the first one by adding to the 'linear ordering problem' (LOP), included in the first edition, the 'maximum diversity problem' (MDP). In this way, we provide the reader with the background, elements and strategies to tackle a wide range of different combinatorial optimization problems. The exact and heuristic techniques outlined in these pages can be put to use in any number of combinatorial optimization problems. While the authors employ the LOP and the MDP to illustrate cutting-edge optimization technologies, the book is also a tutorial on how to design effective and successful implementations of exact and heuristic procedures alike.

This monograph provides the basic principles and fundamental ideas that will enable students and practitioners to create valuable applications based on both exact and heuristic technologies. Specifically, it is aimed at engineers, scientists, operations researchers, and other applications specialists who are looking for the most appropriate and recent optimization tools to solve particular problems. The book provides a broad spectrum of advances in search strategies with a focus on its algorithmic and computational aspects.


Industry Reviews
"The book is well suited for readers who want to learn how to solve real world combinatorial optimization problems as the methods are well explained and a lot of algorithms are given with pseudo-code. The authors explain all terms they use and the book is well understandable. ... All in all this book can be recommended to anyone interested in combinatorial optimization who wants to get an overview of the classical solution approaches in this field." (Isabel Beckenbach, zbMATH 1500.90001, 2023)

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