Column-generation for a two-dimensional multi-criteria bin-packing problem
September 01, 2025 Β· Declared Dead Β· π arXiv.org
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Authors
Christof Groschke, Steffen Goebbels, Jochen Rethmann
arXiv ID
2509.01218
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
Abstract
In this study, we examine a two-dimensional bin-packing problem in printed circuit board manufacturing. Among other objectives, the number of bins, but also the number of different bin layouts, is to be minimized. As the running times of an earlier MIP presentation are only acceptable for small problem instances, we will now discuss a branch-and-price approach by using an adapted Ryan-Foster-branching. The pricing problem computes the layouts, separating the time-consuming constraints from the master problem.
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