ENGLISH

Compact Extended Linear Programming Models

Book information

Publisher
Springer Verlag, Giuseppe, Lancia, Serafini, Paolo
Year
2017
ISBN
978-3-319-63976-5, 3319639765, 978-3-319-63975-8
Language
english
Format
PDF
Filesize
4 MB (4211851 bytes)
Pages
\208
Time added
2017-10-15 16:00:00

Description

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. Front Matter ....Pages i-ix Introduction (Giuseppe Lancia, Paolo Serafini)....Pages 1-6 Polyhedra (Giuseppe Lancia, Paolo Serafini)....Pages 7-31 Linear Programming (Giuseppe Lancia, Paolo Serafini)....Pages 33-41 Integer Linear Programming (Giuseppe Lancia, Paolo Serafini)....Pages 43-66 Large-Scale Linear Programming (Giuseppe Lancia, Paolo Serafini)....Pages 67-74 General Techniques for Compact Formulations (Giuseppe Lancia, Paolo Serafini)....Pages 75-102 The Permutahedron (Giuseppe Lancia, Paolo Serafini)....Pages 103-112 The Parity Polytope (Giuseppe Lancia, Paolo Serafini)....Pages 113-121 Trees (Giuseppe Lancia, Paolo Serafini)....Pages 123-135 Cuts and Induced Bipartite Subgraphs (Giuseppe Lancia, Paolo Serafini)....Pages 137-147 Stable Sets (Giuseppe Lancia, Paolo Serafini)....Pages 149-154 Traveling Salesman Problems (Giuseppe Lancia, Paolo Serafini)....Pages 155-164 Packing (Giuseppe Lancia, Paolo Serafini)....Pages 165-171 Scheduling (Giuseppe Lancia, Paolo Serafini)....Pages 173-181 Computational Biology Problems (Giuseppe Lancia, Paolo Serafini)....Pages 183-195 Back Matter ....Pages 197-208

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