Model of interaction between product and process innovative potential of a manufacturing enterprise

Abstract

The published article proposes an economic and mathematical model of the dynamics of development of a multifactor production enterprise, taking into account the interaction of product and process innovation potentials. The output of the enterprise under consideration is ensured by the Cobb-Douglas production multiplicative function, the parameters of which depend on the levels of product innovation potential and process innovation potential. A system of differential equations for the balance of an enterprise has been established regarding the volumes of all its resources and the volumes of its product and process innovation potentials. To manage the processes of gradual introduction of innovative potentials into production, special indicator functions are introduced into the system of differential equations of the model, which determine the time intervals for the deployment of innovative potentials. The maximum values of the volumes of enterprise resources, the maximum values of the volumes of innovative potentials and the maximum value of the volume of revenue have been calculated. The numerical solution of the system of differential equations of the developed model makes it possible to obtain dynamic trajectories of enterprise development, on the basis of which, by controlling indicator functions, it is possible to construct various scenarios for the operation of the enterprise.