Stochastic model of the influence of the dynamics of innovation potential on the transformation of a manufacturing enterprise

The published article presents the development of a stochastic model of the dynamics of development of a multifactor manufacturing enterprise, taking into account the influence of interaction of product and process innovative potentials. To form the balance of the enterprise, a system of stochastic differential equations is established for the volumes of all its resources. Management of the processes of stage-by-stage implementation of innovative potentials in production is carried out by special indicator functions included in the system of stochastic differential equations, which set time intervals for the deployment of innovative potentials. The limiting values ??of the volumes of enterprise resources and the volume of output are calculated. Numerical solution of the system of stochastic differential equations of the developed model allows us to obtain stochastic trajectories and curves of mathematical expectations of the volumes of production factors and output volumes.