Ovechko A. The modelling of the adaptation mechanisms in production and economic systems

Object of research: management processes in production and economic systems, which function under the con-ditions of unstable environment. Purpose of research: design of the economic and mathematical models' com-plex of the production and economic systems' manage-ment processes based on principles of viable systems. Methods of research: system analysis, economic and mathematical modeling, system dynamics, theory oh man-agement. Results: the essence and peculiarities of pro-duction and economic systems' adaptive management under the conditions of unstable environment are ana-lysed, the basic characteristics of system's viability are considered, the formal definitions of basic characteristics of adaptability of production and economic systems' functioning are proposed; the management system of pro-duction and economic systems concept that provides sys-tem's adaptation to changes in external and internal con-ditions of functioning with minimum costs is proposed; based on proposed conception the complex ofeconomic and mathematical models that realize the technology of adaptive management under the conditions of unstable environment is developed: the model of subdivisions' functioning synchronization, the model of scarce re-sources optimal distribution, simulation model of eco-nomic system's functioning under the conditions of un-certainty; mechanism of functioning of passive and active adaptation contour in adaptive management system based on realization of anticipation effect that allows to raise viability and effectiveness of system's functioning is de-veloped. Novelty: production and economic systems' adaptive management system concept grounded on the viability principles that allows to adapt to changes in ex-ternal and internal conditions of functioning with mini-mum costs; the model of functioning synchronization of subdivisions of production and economic system based on the stochastic programming method that permits to define times and sizes of deliveries of product to subdivisions of the production andeconomic system, providing minimum of holding costs and incomplete delivery penalty costs; the economic and mathematical model of the optimal scarce resources distribution based on the Eiler and Lagrange method, which allows to provide the effective distribution of scarce resources among production processes and to make corrective and coordinating influences in the enter-prise management system; the simulation model of the production and economic system functioning under un-certain conditions, based on the system dynamics. The realization of this model allows to define the dynamics of basic indexes of the production and economic system with the use of weak signals from external environment. Field of use: branch-wise.