Dynamic Model of Optimization of Enterprise Operations

The relevance of the presented study is based on the development of a mathematical model that allows for optimization of the economic activity of an enterprise producing homogeneous standard products. The enterprise business plan assumes the process of producing one priority type of product compared to other types. The specified business strategy involves setting and solving specific problems determined by an increase in the output of one specific product range. Concentration of production requires the development of a mathematically sound model that allows eliminating economic costs and losses associated with the specialization of the production cycle for homogeneous products. When constructing a mathematical model, the cost market tariffs associated with the specificity are taken into account. One of the fundamental parameters is the time factor, which allows for structural modifications in dynamics. In the context of digitalization of the economic structure of an enterprise, it is advisable to involve artificial intelligence systems. The presented work is the mathematical tool for their creation. The mathematical apparatus of the model contains analytical methods for solving problems for various ordinary differential equations. The expected financial source of development of the production process at the enterprise under consideration is internal and external investments. The main economic indicator is the cost of production, which is calculated in money for one unit of production, is considered to be time-dependent and reaching saturation. The depreciation coefficient is considered to be of the same nature, time-dependent and reaching saturation an analytical indicator that shows the degree of depreciation of fixed assets and is defined as the ratio of the amount of accrued depreciation to the original cost of fixed assets. The total factor of production is considered similarly, as a result of factor analysis, which is eliminated per unit of time. When constructing a mathematical model, the dependence of the indicator of the share of investments in fixed capital in the gross product, which is an analogue of the rate of accumulation of investments, is taken into account, while the coefficients of the linear production function are assumed not to be constant, but timedependent.