Abstract
Recommendations are given for selecting the required number of numerical experiments in solving problems of optimal design of dynamical systems by the method of planned experiment. Procedures for the formation of the basic parameters of the experiment planning matrix are proposed: the number of levels and the number of experiments at each level. The lower bound on the number of experiments conducted in the parameter space is obtained. The interrelation of the probability of finding the best solutions in the field that makes up a certain part of the initial space after a given number of experiments is shown. Using this relationship, an upper estimate of the number of necessary experiments was obtained, since the entire procedure of the method of planned experiment is recommended for use at the preliminary stage of solving the design problem of a technical device, when the main goal is not only to achieve absolute results, but to obtain objective information about the properties of the studied parameters in relation to the project quality criteria.
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Statnikov, I.N., Firsov, G.I. (2020). Estimation of the Number of Calculations for Solving the Tasks of Optimization Synthesis of Dynamic Systems by the Method of a Planned Experiment. In: Misyurin, S., Arakelian, V., Avetisyan, A. (eds) Advanced Technologies in Robotics and Intelligent Systems. Mechanisms and Machine Science, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-030-33491-8_18
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DOI: https://doi.org/10.1007/978-3-030-33491-8_18
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