Abstract

Methods of optimization of production systems on the basis of Hamilton and on the basis of the method of optimal aggregation are considered. In the framework of classical methods, a constructive and effective solution of the problem with parametric relations is impossible. As the dimension and number of connections between the elements of the system increase, the complexity of calculating the optimal strategy for the development of the production system increases exponentially. In this paper, a comparative analysis of alternative solutions based on the methodology of optimal aggregation and on the basis of construction and use of the Hamilton function is performed. Software modules and mathematical models have been developed to present the results of the optimal strategy calculation for the development of the production system in numbers and graphs.

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