MODELING OF FLEXIBLE FUNCTIONING INDICATORS OF PRODUCTION AND ECONOMIC SYSTEM

Анотація

The created economic and mathematical models allowed to calculate the quantitative ratio of product costs and investment costs for progressive technological renewal of production, and established interval limits to predict possible changes in production as a result of new technologies and plan the results of the enterprise depending on its investment and innovation activity. During the analysis, the parameters that characterize the quality of the developed models and indicate their adequacy, and feasibility in practice are calculated. Scientific novelty of the research is a mathematical explanation of the laws of interaction of innovation and production activities, estimated quantitative impact of new technologies on the growth of efficiency of industrial enterprises. The article considers the current problems of development of the production and economic system. The authors present a modeling of the prerequisites for step-by-step flexible adjustment of strategies to achieve the expected (predicted) value of the components of the flexible functioning of a particular production and economic system (market conditions). As a result, it was determined that the distance between two points on the plane (t, R) in management understanding and economic perception is a choice at a certain point in time t, belonging to the interval [t0, T] of the appropriate strategy of flexible dynamic transition (with the greatest benefit or with the lowest costs), from one (t0, R (t0)), specified in certain units of measurement of their coordinates, to another (T, R (T)), the parameters of which correspond to the value of their possible achievement, i.e. a certain expected (planned) or predictable and even intuitive forecast indicator. Determining the value of the distance between two indicators creates the preconditions for step-by-step flexible adjustment of strategies to achieve its expected (predicted) value. At any time t1, the value of the final T = T ± △ t can be adjusted, the strategy for achieving it fi (t) (1, 2… 7) can be changed, and the total amount of possible costs can be changed: V_i=∫_(t_i)^T▒〖f_(i ) (t)dt〗. Keywords: production and economic system, flexible dynamic operation, modeling, forecasting, market conditions.

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