Compact Extended Linear Programming Models

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.

• 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)