Mathematical modeling and research of optimal cutting of cardboard packaging

Abstract

A mathematical model describing the goal function is suggested. Its arguments are the geometric parameters of a particular type of cardboard packaging. The goal function is studied to the extreme to determine their optimal values at the lowest cardboard consumption. The optimal geometric parameters for prismatic packages of a given volume have been found. The unification of components of this prismatic packaging is performed. The dependence of the packaging material area on the values of geometric parameters of a specific prismatic package is numerically analyzed.