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.
Highlights
Reserves for economical production of packages made of paper and cardboard materials are hidden primarily in the technological and technical components of the process of performing numerous operations of the technological chain: from the creation of packaging materials, the production of packaging to the formation of transport containers with finished products
The optimization of the technological process of board wood material cutting is described in [3]. In these works, the optimization of cutting the cardboard and paper packaging of various products, which are widely represented in the consumer market, is not sufficiently studied to ensure effective savings of packaging material
This paper presents a mathematical model for the design of prismatic cardboard packaging with different bottom and cover design for packing bulk and liquid products
Summary
Reserves for economical production of packages made of paper and cardboard materials are hidden primarily in the technological and technical components of the process of performing numerous operations of the technological chain: from the creation of packaging materials, the production of packaging to the formation of transport containers with finished products. In [2] a method for optimizing the process of plant packaging system is suggested. The optimization of the technological process of board wood material cutting is described in [3]. In these works, the optimization of cutting the cardboard and paper packaging of various products, which are widely represented in the consumer market, is not sufficiently studied to ensure effective savings of packaging material. This paper presents a mathematical model for the design of prismatic cardboard packaging with different bottom and cover design for packing bulk and liquid products. A method is suggested that provides effective savings of packaging material
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