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• W2075618361 abstract "This paper investigates the steel plate order fulfilment problem from existing inventory, which is a generalization of one-dimensional cutting and packing problems. Semi-processed inventory of steel slabs can be burned, heated, rolled, and sheared to meet customer order requirements. This problem is an integral part of the day-to-day operations of steel plate manufacturing. A 0–1 integer programming formulation is presented and two heuristics, based on single-order formulations, are presented to quickly generate lower and upper bounds. The bounds are improved using Lagrangian relaxation and subgradient optimization, producing average optimality gaps of 2.12% on 17 real-world data sets. The upper bound improvements represent actual savings over the current solution method of 1.94%, or an average of about $230 000 over a 3-week period. An economic interpretation of the Lagrange multipliers is also discussed and shown to be useful for handling rush orders." @default.
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• W2075618361 date "2007-09-01" @default.
• W2075618361 modified "2023-10-14" @default.
• W2075618361 title "Fulfilling orders for steel plates from existing inventory" @default.
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• W2075618361 doi "https://doi.org/10.1057/palgrave.jors.2602274" @default.
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