Optimizing the Shearing of Steel Bars

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Abstract
The paper deals with problems of scrap and waste incurred in the shearing of steel bars and with the effect of bar length variability on the scrap function. These basic problems are characteristic of many industrial operations. The analysis in this paper attempts to present solutions to the following: when no more than one final bar (product) is to be obtained per standard bar of a given distribution, what length ought to be selected, and alternatively, for a given final product what mean for the bar distribution should be aimed at? What is the loss function when several identical bars are to be obtained per standard bar, and what is the effect of the distribution variance on this function? When several non-identical products are sheared, what shearing methods should be selected? Some of the solutions are illustrated by examples drawn from a case study in industry.

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