Compact Extended Linear Programming Models [Hardcover]

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 practitioners and software engineers in industry exploring techniques for developing optimization models for their specific problems. Introduction.- Polyhedra.- Linear Programming.- Integer Linear Programming.- Large-scale Linear Programming.- General Techniques for Compact Formulations.- The Permutahedron.- The Parity Polytope.- Trees.- Cuts and Induced Bipartite Subgraphs.- Stable Sets.- Traveling Salesman Problems.- Packing.- Scheduling.- Computational Biology Problems.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)Giuseppe Lancia is Professor of Operations Research in the Department of Mathematics andlc7