Розробка та дослідження узагальненої моделі оптимального розвитку виробничих систем на базі методології оптимального агрегування

Abstract

The work is devoted to the development and research of new mathematical models of functioning and development as a computer-integrated process in modern production systems. In the available literature, close analogues with the theoretical foundations and specific results were not found. The basis of the development of a joint model of operation and development of production is the methodology of optimal aggregation and the solution of the variational problem of optimal development on the basis of the maximum principle. A parameterized operator of optimal aggregation "production, development" was developed. A decomposition of the development process at intervals executed on the correction of the optimal development strategy is performed. A parametrizized operator of the transition of a production system between intervals is developed. The expanded operator of optimal aggregation of the structure "production, development, innovation" was developed. The alternatives of program implementation of the optimal control system are considered. On the developed models the researches of processes of functioning of the production system are executed.