Compact Extended Linear Programming Models

by Giuseppe Lancia, Paolo Serafini

Overview

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.

Product Details

ISBN-13:	9783319639758
Publisher:	Springer International Publishing
Publication date:	09/02/2017
Series:	EURO Advanced Tutorials on Operational Research
Edition description:	1st ed. 2018
Pages:	208
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Giuseppe Lancia is Professor of Operations Research in the Department of Mathematics and Computer Science at the University of Udine, Italy.
Paolo Serafini is Professor of Operations Research in the Department of Mathematics and Computer Science at the University of Udine, Italy.

Table of Contents

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.

Editorial 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)

From the Publisher