© 2018

Introduction to Cutting and Packing Optimization

Problems, Modeling Approaches, Solution Methods


Part of the International Series in Operations Research & Management Science book series (ISOR, volume 263)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Guntram Scheithauer
    Pages 1-18
  3. Guntram Scheithauer
    Pages 19-45
  4. Guntram Scheithauer
    Pages 47-72
  5. Guntram Scheithauer
    Pages 73-122
  6. Guntram Scheithauer
    Pages 157-181
  7. Guntram Scheithauer
    Pages 183-226
  8. Guntram Scheithauer
    Pages 227-244
  9. Guntram Scheithauer
    Pages 245-278
  10. Guntram Scheithauer
    Pages 279-316
  11. Guntram Scheithauer
    Pages 317-344
  12. Guntram Scheithauer
    Pages 345-383
  13. Guntram Scheithauer
    Pages 385-405
  14. Back Matter
    Pages 407-410

About this book


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.


cutting problem packing problem allocation problem bin packing strip packing circle and sphere packing

Authors and affiliations

  1. 1.Institute for Numerical MathematicsTU DresdenDresdenGermany

About the authors

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.

Bibliographic information

  • Book Title Introduction to Cutting and Packing Optimization
  • Book Subtitle Problems, Modeling Approaches, Solution Methods
  • Authors Guntram Scheithauer
  • Series Title International Series in Operations Research & Management Science
  • Series Abbreviated Title Int.Ser.Operations Res.
  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Business and Management Business and Management (R0)
  • Hardcover ISBN 978-3-319-64402-8
  • Softcover ISBN 978-3-319-87785-3
  • eBook ISBN 978-3-319-64403-5
  • Series ISSN 0884-8289
  • Series E-ISSN 2214-7934
  • Edition Number 1
  • Number of Pages XXIV, 410
  • Number of Illustrations 127 b/w illustrations, 0 illustrations in colour
  • Topics Operations Research/Decision Theory
    Discrete Mathematics
  • Buy this book on publisher's site
Industry Sectors
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“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)