MATHEMATICAL MODELING AND SELECTION OF THE OPTIMAL PARAMETERS OF ENGINEERING SYSTEMS
The methodology of mathematical modeling of the engineering systems, which include technical systems, technological processes, material structure and dynamic systems, is proposed. As mathematical support, the theory and methods of vector optimization, set forth in the author's works, based on which software in the MATLAB system was developed, were used. As a test example, a technological process is used, the mathematical model of which is built in the form of a vector problem of mathematical (nonlinear) programming. In the model, the criteria (characteristics of the technological process) are formed under conditions of certainty (the functional dependence of each characteristic and restrictions on the parameters is known) and under conditions of uncertainty (there is not enough information about the functional dependence of each characteristic on the parameters).