Titlebook: Introduction to Cutting and Packing Optimization; Problems, Modeling A Guntram Scheithauer Textbook 2018 Springer International Publishing

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Packing of Polygonal Pieces,is frequently of interest. Here we address aspects concerning the mutual position of polygonal pieces and the containment within a polygonal region. Moreover, we discuss the basic principles of heuristic solution approaches.

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Introduction to Cutting and Packing Optimization978-3-319-64403-5Series ISSN 0884-8289 Series E-ISSN 2214-7934

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Optimal Guillotine Cutting,Within this chapter we address those two- and higher-dimensional cutting and packing problems where the guillotine cutting condition has to be regarded. That means, given a pattern then the desired products can be obtained by a sequence of guillotine cuts. We will consider knapsack-type problems as well as cutting stock problems.

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One-Dimensional Bin Packing,to address the problem specific issues more properly..The BPP is known to be NP-hard. For that reason, we will consider, besides exact solution approaches, lower and upper bounds for the optimal value as well as reduction methods and some extensions.

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Quality Restrictions,ralized cutting problem in which the length of the pieces of a desired type is only limited by a minimum and a maximum length, i.e., their length can vary within a given interval. In the second part, we turn to two-dimensional cutting problems with defective or forbidden regions.

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