Classification and Mathematical Models of the Problems for Size Ranges Optimization of Technical Products

The formulation of the problem for size ranges optimization of technical products is considered. One of the most important and complex stages while solving the problem, is building a mathematical model, the latter requires from the researchers, not only deep knowledge related to the particular engineering field, but also related to the current engineering mathematical apparatus. Contrary to this stage's importance, relatively small number of publications are devoted to it. The known classifications and mathematical models do not take into account all characteristic special features of the problem, which leads to difficulties when building adequate mathematical models. For overcoming these issues, a classification of the problems for size ranges optimization is proposed based on selected indicators. On the basis of the proposed classification, standard mathematical models are developed. Special attention is put on problems with many parameters.