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A 4/3-Approximation Algorithm For Cassette Packing In Steel Industry

Author

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  • HARK-CHIN HWANG

    (Department of Industrial Engineering, Chosun University, 375 Seosuk-Dong, Dong-Gu, Gwangju 501-759, Korea)

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.

Suggested Citation

  • Hark-Chin Hwang, 2007. "A 4/3-Approximation Algorithm For Cassette Packing In Steel Industry," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 715-724.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:05:n:s0217595907001462
    DOI: 10.1142/S0217595907001462
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