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Optimal Selection of Ingot Sizes Via Set Covering

Author

Listed:
  • F. J. Vasko

    (Kutztown University, Kutztown, Pennsylvania)

  • F. E. Wolf

    (Bethlehem Steel Corporation, Bethlehem, Pennsylvania)

  • K. L. Stott

    (Bethlehem Steel Corporation, Bethlehem, Pennsylvania)

Abstract

In 1984, Bethlehem Steel Corporation installed a new ingot mold stripping facility at its Bethlehem Plant that is capable of handling taller ingots. In order to take maximum advantage of this new facility, we developed a two-phase, computer-based procedure for selecting optimal ingot and internal ingot mold dimensions. Phase I of this procedure generates feasible ingot and internal ingot mold dimensions consistent with both the new stripper's capability and with mill constraints. Phase II then uses a set covering approach to select the optimal ingot and internal ingot mold sizes from among the feasible sizes generated. After analyzing the model, we recommended six new rectangular mold sizes to replace seven existing sizes. To date, implementation of these new ingot and mold sizes is proceeding smoothly and realizing the projected cost reduction benefits.

Suggested Citation

  • F. J. Vasko & F. E. Wolf & K. L. Stott, 1987. "Optimal Selection of Ingot Sizes Via Set Covering," Operations Research, INFORMS, vol. 35(3), pages 346-353, June.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:3:p:346-353
    DOI: 10.1287/opre.35.3.346
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    Cited by:

    1. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    2. Milind Dawande & Jayant Kalagnanam & Ho Soo Lee & Chandra Reddy & Stuart Siegel & Mark Trumbo, 2004. "The Slab-Design Problem in the Steel Industry," Interfaces, INFORMS, vol. 34(3), pages 215-225, June.
    3. Azadeh, A. & Ghaderi, S.F. & Maghsoudi, A., 2008. "Location optimization of solar plants by an integrated hierarchical DEA PCA approach," Energy Policy, Elsevier, vol. 36(10), pages 3993-4004, October.
    4. Ümit Sakallı & Ömer Baykoç & Burak Birgören, 2011. "Stochastic optimization for blending problem in brass casting industry," Annals of Operations Research, Springer, vol. 186(1), pages 141-157, June.
    5. Bowers, M.R. & Kaplan, L.A. & Hooker, T.L., 1995. "A two-phase model for planning the production of aluminum ingot," European Journal of Operational Research, Elsevier, vol. 81(1), pages 105-114, February.

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