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

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

Guntram Scheithauer

Mathematics in Real Life

Mathematics in Real Life

Description

A concise text on a unified modelling approach and solution methods on multidimensional allocation, packing and cutting problems.

Short Summary

The book is organized in 13 chapters with modelling fundamentals to NP hard problems such as knapsack, cutting stock and decomposition.

This book is all about understanding the fundamental set‑theoretical before exploring knapsack, bin‑ and strip‑packing, cutting‑stock via column generation, orthogonal packing feasibility, guillotine patterns, pallet and container loading heuristics, and advanced topics like polygonal, circle, and sphere packing, all supplemented by exercises and solutions.

When & Why?

A reader seeking a rigorous foundation in combinatorial optimization and decompostion will benefit from this book's blend of theory and practice. Some in industry with background in graduate level math would understand the materials well.

How to?

I would recommend starting with a simpler book! Probably start with Decomposition Techniques in Mathematical Programming by Canejo et al before jumping into this book.

Review: what is good & less good?

Maybe theoretically dense for most people. The best thing about this book is that it has practical exercises.

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The expertise hub is a bridge between experts and beginners, academia and industry, businesses and policymakers. Sharing knowledge creates a ripple effect, empowering more people, facilitating innovation, and leading to smarter decisions. Small steps can make a huge impact! 

Whether you’re here to learn, share, or collaborate, you’re in the right place.


2025 © Optimization4All

2025 © Optimization4All