Full Description
This book provides a comprehensive overview of the most important and frequently considered optimization problems concerning cutting and packing. Based on appropriate modeling approaches for the problems considered, it offers an introduction to the related solution methods. It also addresses aspects like performance results for heuristic algorithms and bounds of the optimal value, as well as the packability of a given set of objects within a predefined container. The problems discussed arise in a wide variety of different fields of application and research, and as such, the fundamental knowledge presented in this book make it a valuable resource for students, practitioners, and researchers who are interested in dealing with such tasks.
Contents
Modeling.- Knapsack Problems.- One-Dimensional Bin Packing.- One-Dimensional Cutting Stock.- Orthogonal Packing Feasibility, Two-Dimensional Knapsack Problems.- Optimal Guillotine Cutting.- Packing Rectangles into a Strip.- Two-Dimensional Bin Packing.- Quality Restrictions.- Pallet Loading.- Container Loading.- Packing of Polygonal Pieces.- Circle and Sphere Packing.
