One of the most important components in the modern conception Industry 4.0 is the digital twin. The special feature of the mechanical engineering production is the high proportion of time, spent on an interoperational storage. High efficiency of the enterprise activity is connected with the solution of a flexible automatic warehousing system creation. It is necessary to describe structural and dynamic parameters of a robot-stacker in the math formalisms. This will allow to find the optimal ratio between the load capacity, cargo speed and statistic, dynamic indicators of positioning accuracy. The obtained results of a mathematical modeling can be used as the algorithms for an integrated environment of a software development for various automation systems of warehouse processes.
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