A model of the direct interaction of elements of a tightly coupled system

A maximin mathematical model describing the process of changing the quality indicators of products manufactured by facilities of a complex production system interconnected by multiple feedbacks is considered. Necessary and sufficient conditions for the monotone growth of these indicators are found. For the proposed new technologies utilized on some of these facilities, consistency conditions with the technologies used on other facilities are determined. For finding the optimal control of this process, it is recommended to use parallel computations.