NON-LINEAR MATHEMATICAL MODELS IN THE THEORY OF EXPERIMENTAL DESIGN: APPLICATION IN THE MANUFACTURING PROCESSES

Anđela Lazarević, Dragoljub Lazarević

DOI Number
-
First page
181
Last page
191

Abstract


Since real processes usually are not linear, different non-linear mathematical models are usually applied for studying their behavior: high order polynomials, power, exponential and other functions. In this paper, the application of multiple power functions is presented, with and without interactions between the influential factors, in modelling various technological problems. The modeling results show that the proper mathematical model is selected, one that guarantees high accuracy in the entire experimental space. Furthermore, an important conclusion is reached, stating that interactions between the influential factors are not of importance in such mathematical models; thus they can be neglected. Therefore, it is shown that it is more practical to use the basic mathematical model (without interactions) than the expanded mathematical model (with interactions).

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ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

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