The Linear Ordering Problem - Gerhard Reinelt
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Présentation The Linear Ordering Problem de Gerhard Reinelt Format Broché
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Résumé :
Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.
Biographie:
?Rafael Mart? is Professor of Statistics and Operations Research at the University of Valencia, Spain. He received a doctoral degree in Mathematics in 1994, and has done extensive research in metaheuristics for hard optimization problems. Dr Mart? has about 200 publications, half of them in indexed journals (JCR). He authored several books in optimization, included the co-edited Handbook of Heuristics, a 3-volume reference in the area, published by Springer (2018). Prof. Mart? has supervised 7 doctoral and 14 Master thesis, and has secured an American patent. Prof. Mart? is currently area editor in the Journal of Heuristics, and associate editor in several journals, including the European Journal of Operational Research, and Math. Prog. Computation. He is Senior Research Associate of the private company OptTek Systems (USA), and has given more than 50 invited and plenary talks. Dr. Mart? has been invited Professor in many universities, including the University of Colorado (USA), the University of Molde (Norway), the University of Wien (Austria), the University of Bretagne-Sud (France), or the University College of Dublin (Ireland). He coordinates the Spanish Network on Metaheuristics, funded by the Spanish government as a Network of excellence, and the doctoral program Statistics and Optimization at the Univerity of Valencia.
Sommaire:
1 Introduction.- 2 Heuristic Methods.- 3 Meta-Heuristics.- 4 Branch-and-Bound.- 5 Branch-and-Cut.- 6 The Linear Ordering Polytope.- 7 Further Aspects.- References.- Index.
From the reviews: The authors had two main goals when writing the text. The first was simply to survey the literature on the LOP. ... the second was to use the LOP as a vehicle for introducing key concepts of combinatorial optimization to the reader. ... the book will be attractive only to established researchers who need or want to learn about the LOP ... . The book is written in a very readable style and ... the material is ordered in a logical way. (Adam Letchford, Interfaces, Vol. 42 (3), May-June, 2012)