Probability Distribution Transformation in Continuous Production Control

Abstract

Mathematical models of main stochastic characteristics of continuous multi-stage inter-operational control for the products of mechatronics were created, when the flows of rejected products are returned to the manufacture process for regeneration, and products classification rules are analogous at the separate control stages, and when undeniable product classification errors of the first and second kind are present (good products are rejected and defective products are accepted as good). The efficiency of control operation is estimated in the way of modeling according to transformations of density functions of defectivity level at separate stages, by applying beta distribution and dynamics of defectivity level mean variation. It was shown that returning flows are determined by error probabilities and the level of defectivity before control, and the models of separate stages differ only in the magnitude of generalized error, which equals the product of generalized error probabilities of separate stages. Manufacturing peculiarities of picture tubes and their components were employed during creation of models. Ill. 5, bibl. 8 (in English; summaries in English, Russian and Lithuanian).