About the transformation of the distribution of fibrous material in the technological process of spinning industry

The technological process can be studied based on data on the transformation of the distributions of characteristics of the processed fibrous material. The model of distribution transformation can be used as a tool for process control and optimization. We view the technological process as a heterogeneous discrete Markov probabilistic process. The authors proposed a probabilistic model for transforming the distribution of a particular quantitative characteristic of fibers in the flow of fibrous material in the technological process. The transformation of the fiber material distribution in this process is predicated on a weighting function relating the distributions of fiber and fibrous material characteristics before and after the process. Through discretization of the model, the transformation matrix was determined. The article discusses various methods for solving the problem of estimating the weighting transformation function. An adaptive random search is proposed as an algorithm for optimal estimation of transformation matrix elements. It has been established that the quality of the assessment depends on a priori information about the process. The formulated model for describing the transformations of the characteristics of fibrous material in the technological process enables the study of the features of the interaction of fibers with the working parts of machines and facilitated the control and optimization of the mode of this interaction.