The Linear Ordering Problem

Exact and Heuristic Methods in Combinatorial Optimization

  • Rafael Martí
  • Gerhard Reinelt

Part of the Applied Mathematical Sciences book series (AMS, volume 175)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Rafael Martí, Gerhard Reinelt
    Pages 1-15
  3. Rafael Martí, Gerhard Reinelt
    Pages 17-40
  4. Rafael Martí, Gerhard Reinelt
    Pages 41-84
  5. Rafael Martí, Gerhard Reinelt
    Pages 85-94
  6. Rafael Martí, Gerhard Reinelt
    Pages 95-116
  7. Rafael Martí, Gerhard Reinelt
    Pages 117-143
  8. Rafael Martí, Gerhard Reinelt
    Pages 145-161
  9. Back Matter
    Pages 163-171

About this book


Complex optimization problems abound in the real world. In the face of these challenges, established methods often fall short of providing solutions. However, ‘exact’ and ‘heuristic’ techniques are dramatically enhancing our ability to solve significant practical problems in the world of optimization. They are changing the landscape in the field, broadening the frontiers of the possible, and allowing us to engage effectively with a whole new range of challenges. This monograph sets out state-of-the-art optimization methods for tackling the ‘linear ordering problem’ (LOP). Whereas important applications in business, engineering and economics lie beyond the reach of methodologies that have been the focus of academic research for three decades, the fresh approaches set out in this volume provide practical solutions to the LOP. The focus on the LOP does not limit the monograph’s scope and applicability, however. 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 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. The information in these pages provides readers with a toolkit that can be employed in a variety of settings. As a result, the book will be of great interest to researchers and practitioners in a number of fields, including computer science, mathematics, operations research, management science, industrial engineering, and economics. It is also suitable for use as a textbook on issues of practical optimization in a masters course, or as a reference book for engineering optimization algorithms. The authors have sought to make the book accessible to as wide an audience as possible by providing the reader with basic definitions and concepts in optimization. In addition, the numerous tutorials aid speedy assimilation, while the coverage given to the next generation of Flash software prepares readers for future developments.


Combinatorial optimization Exact methods Heuristics and Metaheuristics

Authors and affiliations

  • Rafael Martí
    • 1
  • Gerhard Reinelt
    • 2
  1. 1.Dpto Estadística e Inv. OperativaUniversitat de ValènciaValenciaSpain
  2. 2.Institue of Computer ScienceUniversity of HeidelbergHeidelbergGermany

Bibliographic information