STATIONARY STOCHASTIC INPUT FLOW MODELING OF BRANCHED CONVEYOR SYSTEMS
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Abstract
The object of research is stochastic stationary input material flow of a conveyor-type transport system. Subject of research is a method for generating realizations of a stationary stochastic input flow of material on the basis of experimental data. The goal of the research consists in the development of a random value generator for constructing an implementation of the input material flow of a transport conveyor, which has specified statistical characteristics, calculated on the basis of the previously performed experimental measurements results. The results obtained. The stationary stochastic input flow of material is represented by a canonical expansion as a sum of harmonic oscillations with random amplitudes at various non-random frequencies. A two-stage approach is proposed for forming realizations of the input material flow. At the first stage, using the canonical expansion in given coordinate functions, the experimental realization of the input material flow for a given interval is approximated. At the second stage, statistical characteristics of the implementations of the input material flow are calculated. The conducted analysis showed that the application of the smoothing method for the realizations of the material flow, based on the canonical decomposition of the realizations of the input material flow, ensures a sufficiently accurate reproduction of the statistical characteristics like a flow, which is important when designing effective systems for managing the flow parameters of a transport system. A comparative analysis of correlation functions for experimental, approximated and generated implementations of the input material flow is figured out. The length of the time interval required to carry out experimental changes in the input material flow is justified. Conclusion. The methods of generating input flows based on experimental data proposed in the paper allow increasing the accuracy of modeling and control of conveyor systems, which in the long term can lead to a decrease in operating costs and an increase in the productivity of conveyor-type transport systems.
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