Introduction to Cutting and Packing Optimization: Problems, Modeling Approaches, Solution Methods

by Guntram Scheithauer

Overview

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. 

Product Details

ISBN-13:	9783319644035
Publisher:	Springer-Verlag New York, LLC
Publication date:	10/20/2017
Series:	International Series in Operations Research & Management Science , #263
Sold by:	Barnes & Noble
Format:	eBook
File size:	7 MB

About the Author

Guntram Scheithauer was born in Bischofswerda, Saxony, Germany in 1954. He studied Mathematics at Technische Universität Dresden from 1974 to 1979, with a focus on Numerical Mathematics and Optimization. He received his PhD in the area of Discrete Optimization from the same institute in 1983. Throughout his career, his work has focused on both practical and theoretical aspects of cutting and packing problems. He has been a member of staff at the TU Dresden since 1983.

Table of 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. 

Editorial Reviews

The authors provide a comprehensive textbook about the cutting and packing problems. … The book is a good choice for students of mathematics, IT or engineering, researchers in the area of optimization as well as the pre-conditions dealing with problems of this kind.” (Marcin Anholcer, zbMATH 1391.90002, 2018)

“The book delves into details and it provides a comprehensive treatment of appropriate modelling approaches and solution methods of the problem types presented. The strategy of first addressing simple problems and then building up to the more complex ones is an effective teaching and learning strategy. This makes the book a valuable source of fundamental knowledge and latest research results for students, practitioners, and researchers who find themselves facing cutting and packing challenges.” (Hans W. Ittmann, IFORS News, Vol. 11 (4), December, 2017)

From the Publisher