Compact Extended Linear Programming Models
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Beschreibung
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 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 andsoftware engineers in industry exploring techniques for developing optimization models for their specific problems.
Presents, perhaps for the first time, the theory of compact extended ILP models in the most general and didactic form possibleProvides a compact yet comprehensive introduction into exponential-size integer linear programming modelsIncludes a wealth of examples from various application areasSome chapters are self-contained and can be used as short tutorials to the corresponding topics
Presents, perhaps for the first time, the theory of compact extended ILP models in the most general and didactic form possible Provides a compact yet comprehensive introduction into exponential-size integer linear programming models Includes a wealth of examples from various application areas Some chapters are self-contained and can be used as short tutorials to the corresponding topics Includes supplementary material: sn.pub/extras
Autor*in
Giuseppe Lancia
Themen in »Compact Extended Linear Programming Models«
ILP combinatorial optimization branch-and-cut compact extended formulations max-cut bin packing cutting-stock knapsack Steiner-tree routing-cost
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“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)
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