In a steel hot rolling mill, several small to big sections of 12m long bars, angles, channels, flats, beams etc are rolled from 250x250x6000 mm bloom. Cooling bed is 100m long. Below 5.5m length is undesirable and going as scrap. We can not avoid short length generation at the end. Smaller section have several short lengths for a single bloom due to limitation of cooling bed length. Length of bloom can be varied but getting a appropriate length which suits for reduction in overall short length generation is difficult task. Frequent change in sections as per market demand and allowed tolerance of 3% further adds to difficulty.
Can experts suggest whether any linear programming formulation or algorithms or some other model can be helpful to minimize the overall short length generation. Experiences of tackling such problem are also welcome.
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