Compact Extended Linear Programming Models

By: Giuseppe Lancia, Paolo Serafini

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Hardcover | 30 November 2017

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Hardcover
220 Pages

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23.39 x 15.6 x 1.42

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This book provides a handy, unified introduction to the theory of compact extended formulations of exponential-size integer linear programming (ILP) models. Compact extended formulations are equally powerful, but polynomial-sized, models whose solutions do not require the implementation of separation and pricing procedures. The book is written in a general, didactic form, first developing the background theoretical concepts (polyhedra, projections, linear and integer programming) and then delving into the various techniques for compact extended reformulations. The techniques are illustrated through a wealth of examples touching on many application areas, such as classical combinatorial optimization, network design, timetabling, scheduling, routing, computational biology and bioinformatics. The book is intended for graduate or PhD students - either as an advanced course on selected topics or within a more general course on ILP and mathematical programming - as well as for practitionersand software engineers in industry exploring techniques for developing optimization models for their specific problems.

Industry Reviews

"This book is dedicated to presenting and applying the methods of compact extended formulations of linear optimization problems and polyhedra. ... The main merit of this book is that it presents in a unified way the state of the art in the matter in discussion. ... I consider the book to be a useful contribution to the literature on applications of (combinatorial) linear optimization problems ... ." (Sorin-Mihai Grad, zbMATH 1390.90004, 2018)

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