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Procedure to determine optimum dimensions of packages
Author(s) -
Marcondes Jorge A.
Publication year - 1991
Publication title -
packaging technology and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 50
eISSN - 1099-1522
pISSN - 0894-3214
DOI - 10.1002/pts.2770040305
Subject(s) - minification , function (biology) , product (mathematics) , differential (mechanical device) , engineering drawing , mathematics , computer science , mechanical engineering , process engineering , engineering , mathematical optimization , geometry , evolutionary biology , biology , aerospace engineering
A mathematical method to establish the optimum relationships between geometrical dimensions of containers is outlined, comprising several shapes and fabrication processes of packages. The relationship between dimensions settles one priority for the cost of packaging material used, given a fixed volume of product to be packed. The method employs the minimization of a function of geometric variables. The function minimized is directly related to the amount of packaging material used to fabricate the packaging item. Two examples of the application of the method are shown to illustrate the procedure, and a list of the optimum relationships between the dimensions of several shapes of containers is presented. This procedure is of primary importance for packaging designers and requires some knowledge of differential calculus.