Author : John Hooker
Publisher : Springer Nature
ISBN 13 : 3031450396
Total Pages : 148 pages
Book Rating : 4.0/5 (314 download)
Book Synopsis Logic-Based Benders Decomposition by : John Hooker
Download or read book Logic-Based Benders Decomposition written by John Hooker and published by Springer Nature. This book was released on 2023-12-20 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive guide to logic-based Benders decomposition (LBBD), a general and versatile method for breaking large, complex optimization problems into components that are small enough for practical solution. The author introduces logic-based Benders decomposition for optimization, which substantially generalizes the classical Benders method. It can reduce solution times by orders of magnitude and allows decomposition to be applied to a much wider variety of optimization problems. On the theoretical side, this book provides a full account of inference duality concepts that underlie LBBD, as well as a description of how LBBD can be combined with stochastic and robust optimization, heuristic methods, and decision diagrams. It also clarifies the connection between LBBD and combinatorial Benders cuts for mixed integer programming. On the practical side, it explains how LBBD has been applied to a rapidly growing variety of problem domains. After describing basic theory, this book provides a comprehensive review of the rapidly growing literature that describes these applications, in each case explaining how LBBD is adapted to the problem at hand. In doing so this work provides a sourcebook of ideas for applying LBBD to new problems as they arise.