Математичне моделювання і дослідження оптимального розкрою картонних паковань: Fìz.-mat. model. ìnf. tehnol. 2021, 31:42-50

• Date: 2021
• Main Authors: Mlynko, Oksana, Musii, Roman, Nakonechnyi, Rostyslav
• Format: Article
• Language: English
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2021
• Subjects: математична модель; пакування; уніфікація; призматична форма; геометричні параметри; оптимізація
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/188
• Journal Title: Physico-mathematical modeling and informational technologies

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. References Mariësse, A. E., van Sluisveld, Worrell, E. (2013). The paradox of packaging optimization – a characterization of packaging source reduction in the Netherlands. Resources, Conservation and Recycling, 73, 133-142. DOI doi.org/10.1016/j.resconrec.2013.01.016 Fagbolagun, O., Oke, S. A. (2020). The optimization of packaging system process parameters using Taguchi method. IJIEEM, 2(1), 1-14. Hurakov, V. S., Hrysiuk, Yu. I. (2011). Methods of decision-making in the optimization of the technological process of cutting board wood materials into blanks / Scientific Bulletin of NLTU of Ukraine, 21, 353-360. Schroeder, V. L., Pylypenko, S. F. (2004). Cardboard packaging. Kiev: IAC "Packaging". Regey, I. I., Mlynko, O. I. (2012). Assessment of the effectiveness of the use of packaging materials (on the example of the production of consumer cardboard packaging). Packaging, 1, 34-36. Henrot, A., Pierre, M. (2018). Shape variation and optimization: a geometrical analysis. European Mathematical Society. Ihlin, S. P. (2009). Optimization of the shape of construction elements. Kharkiv. Mlynko, O. I. (2016). Cardboard packaging for liquid products. Packaging, 4, 25–27.