Blocks of Cell-Hierarchical Identification and Optimization of Complex Spatially Distributed Production Systems

Complexly structured production systems can be represented in the form of a cellular hierarchical structure. Individual stages of processing create certain impacts on the quality indicators of the finished product. The task of creating new methods for search optimization of complex processes and developing control algorithms is due to the complexity of finding exact dependencies between technological quantities and properties regulated by standards. Identification of multi-stage production processes can be carried out in the form of parallel and sequential flows. Since fulfilling the requirements of a certain trajectory does not allow obtain a single combination of output alphabets, it is necessary for each technological chain to describe its own probabilistic automaton. A separate processing stage can be described as a cell without memory and is a lower-level automaton. Each of the aggregates, in turn, is described in the form of a higher-level automaton (aggregate automaton), which includes a chain of cells formed by operation automata. This chain forms a linear iterative chain. The problem of discrete optimization comes down to determining such a technological subset for which the objective function (a criterion for assessing the effectiveness of the operating modes of complex systems) takes on the maximum value. The design of processing modes for industrial systems, taking into account many quality criteria, has the nature of a heuristic iterative process.