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A 4/3-APPROXIMATION ALGORITHM FOR CASSETTE PACKING IN STEEL INDUSTRY
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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.
Keywords: Two-dimensional vector packing; approximation algorithm; NP-Complete.
1. Introduction
Over the past decades, ...
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