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Optimal deviding of long products into rolled products of marketable length

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Category: Electrical complexes and systems

Last Updated on 11 July 2014

Published on 11 May 2014

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Authors:

A.S. Beshta, Corresponding Member of the National Academy of Science of Ukraine, Doctor of Technical Science, Professor, State Higher Educational Institution “National Mining University”, Vice-Rector for Scientific Affairs, Dnepropetrovsk, Ukraine.

M.Yu. Kuzmenko, The National Metallurgical Academy of Ukraine, Postgraduate Student, Dnepropetrovsk, Ukraine.

O.A. Boyko, State Higher Educational Institution “National Mining University”, Assistant Lecturer, Dnepropetrovsk, Ukraine.

A.S. Sokolova, State Higher Educational Institution “National Mining University”, Research Fellow, Dnepropetrovsk, Ukraine.

Abstract:

Purpose. To find patterns providing optimal yield of marketable products, cutting of long products at different steps of bar rolled products manufacture process.

Methodology. The solving of the problem of optimal cutting is based on the combinatorial analysis of possible options applied for making cutting plans aimed on dividing of long rolled products and comparing them by maximum output of marketable rolled products (products of required length) and their maximum value. First we have considered the deterministic case where the coordinates of the long rolled products edge are provided. In the second case, the location of the edge of long products is described by probabilistic characteristics.

Findings. The research showed that for optimization by the maximum output of marketable rolled products (products of required length) the choice of cutting plan is uncommon only in the second case where the location of the edge of long products is described by probabilistic characteristics; and the solution consists in selection of the coordinates of the first cut. When optimizing by the maximum value of the marketable rolled products the solution either coincides with the solution of the optimization problem by the maximum output of marketable rolled products (products of required length), or is a combination of cutting one part of long product to products of required length, and another, into the equal segments of marketable length.

Originality. We have established the general rules that ensure optimal cutting of long rolled products in various stages of the bar rolled products manufacture.

Practical value. The control of the long rolled products cutting process based on the received dependencies reduces the metal loss on shorts, and increases the yield of marketable products.

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