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- W2002058217 abstract "This paper presents a new mathematical programming formulation for the problem of determining the optimal manner in which several product rolls of given sizes are to be cut out of raw rolls of one or more standard types. The objective is to perform this task so as to maximize the profit taking account of the revenue from the sales, the costs of the original rolls, the costs of changing the cutting pattern and the costs of disposal of the trim. A mixed integer linear programming (MILP) model is proposed which is solved to global optimality using standard techniques. A number of example problems, including an industrial case study, are presented to illustrate the efficiency and applicability of the proposed model. One-dimensional cutting stock (trim loss) problems arise when production items must be physically divided into pieces with a diversity of sizes in one dimension (e.g. when slitting master rolls of paper into narrower width rolls). Such problems occur when there are no economies of scale associated with the production of the larger raw (master) rolls. In general, the objectives in solving such problems are to [5]: minimize trim loss; avoid production over-runs and/or; avoid unnecessary slitter setups." @default.
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- W2002058217 date "2002-07-01" @default.
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- W2002058217 title "An algorithm for the determination of optimal cutting patterns" @default.
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- W2002058217 doi "https://doi.org/10.1016/s0305-0548(00)00102-7" @default.
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