Mathematical model of optimal cutting with the possibility of changing the size and rotation of rectangular workpieces
Abstract
Mathematical model of optimal cutting with the possibility of changing the size and rotation of rectangular workpieces
Incoming article date: 31.07.2022A variant of the mathematical model of the problem of optimal cutting of a semi-infinite strip of material with the possibility of rotating the workpieces by 90 degrees is proposed. Two-dimensional blanks close to the shape of a rectangle or inscribed in a rectangle are considered. The process of recalculation of the basic sizes of blanks has been formalized. It is shown that the increments of the length and width of a rectangular blank can be determined in various ways. The developed mathematical models are mainly focused on solving the problems of small enterprises and the production of simple-shaped products. Recommendations on the software implementation of the cutting model are given.
Keywords: mathematical model, optimization, optimal cutting of a semi-infinite strip, rectangular workpieces, recalculation of the sizes of workpieces, rotation of workpieces by 90 degrees