Compact Extended Linear Programming Models

1. Auflage 2018
ISBN: 978-3-319-63975-8
Verlag: Springer International Publishing

Buch, Englisch, 208 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 4557 g

Reihe: EURO Advanced Tutorials on Operational Research

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Serafini, Paolo

Lancia, Giuseppe

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Data Mining
• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

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.

Über Autor(innen)

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.