A 4/3-approximation algorithm for cassette packing in steel industry

A 4/3-approximation algorithm for cassette packing in steel industry

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Article ID: iaor20083120
Country: Singapore
Volume: 24
Issue: 5
Start Page Number: 715
End Page Number: 724
Publication Date: Oct 2007
Journal: Asia-Pacific Journal of Operational Research
Authors:
Keywords: packing
Abstract:

In packing steel products of coils into cassettes, we need to consider both the width and weight capacity of cassettes. Each coil has weight in (0, 1/3] and width in (1/6, 1/3] when scaling both the weight and width capacities to 1. With the objective of minimizing the number of cassettes to pack the coils, the problem is modeled by two-dimensional vector packing. To efficiently pack the coils having sizes specified by the ranges, we develop a 4/3-approximation algorithm.

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