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A matching approach for replenishing rectangular stock sizes

Author

Listed:
  • F J Vasko

    (Kutztown University
    Bethlehem Steel Corporation)

  • J A McNamara

    (Bethlehem Steel Corporation)

  • R N Parkes

    (Bethlehem Steel Corporation)

  • F E Wolf

    (Bethlehem Steel Corporation)

  • L R Woodyatt

    (Bethlehem Steel Corporation)

Abstract

Consider a replenishment problem in which several different rectangular sizes of material are stocked. Customers order rectangles of the material, but the rectangles ordered have a range on specified width as well as on specified length. To satisfy the customer requirements, the stock material can be cut once longitudinally in order to satisfy two customer requirements or not cut at all, that is, an entire stock piece of material is used to satisfy one customer requirement. If an exact match is impossible in the current planning period, the unused material must be returned to stock— an expensive and undesirable situation. In this paper, a nonbipartite weighted matching problem formulation will be given for determining the replenishment requirements of rectangular stock sizes. Then, a hybrid solution approach, capable of solving real applications (typically up to 3000 nodes) efficiently, will be discussed. This solution was implemented in September 1998 and has operated successfully since then.

Suggested Citation

  • F J Vasko & J A McNamara & R N Parkes & F E Wolf & L R Woodyatt, 2000. "A matching approach for replenishing rectangular stock sizes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(3), pages 253-257, March.
    • Handle: RePEc:pal:jorsoc:v:51:y:2000:i:3:d:10.1057_palgrave.jors.2600910
    DOI: 10.1057/palgrave.jors.2600910
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    Cited by:

    1. 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.

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