Modeling the dynamics of product output by a manufacturing enterprise due to the digital transformation of its workforce

The published article proposes a mathematical model of the dynamics product output by manufacturing enterprise, whose labor resources are being replaced digital technologies and robotics. development is based on application dynamic two-factor production function enterprise. structure this includes variable from zero to one dimensionless logistic digitalization two Cobb-Douglas functions. first refers period operation enterprise before start digitalization, it uses capital human as factors. second corresponds in which its fully completed used factors, completely Models an restoring capacity due introduction own internal investments, presented form systems differential equations for Stationary solutions these correspond equilibrium states enterprises represent limiting values factors production. It shown that models corresponding absence transformation complete lower upper boundaries all possible options displacing resources.