Economic and mathematical models of transformation manufacturing enterprise, taking into account the dynamics of its innovative potential

Abstract

In the published article, economic and mathematical models of an enterprise are proposed, taking into account the influence of its innovative potential on the dynamics of growth in output and production factors. Models are a system of differential equations regarding the resources of the enterprise and the function of its innovative potential. Three options for the formation of the innovative potential of an enterprise from the product, process technological innovations of mixed technological innovations introduced into production are considered. In the first case, innovative potential is formed from product technological innovations that bring new or improved products to the market. In the second case, the innovative potential is formed on the basis of providing a new or significantly improved way of producing products. In the third case, the innovative potential is the result of a simultaneous combination of product and process technological innovations. Scenarios for the development of an enterprise are constructed that correspond to the absence of innovation potential, product innovation potential, process innovation potential, mixed innovation potential and the case of full implementation of innovation potential. A variant of scenarios for the development of an enterprise is presented, in which the innovative potential is introduced from the very beginning, and a variant of scenarios for the development of an enterprise, in which the innovative potential is introduced from a certain point in time.