Generalized model of regularity of cash flow generation by innovative products generations in digital economy

Abstract

This article verifies a mathematical model that generalizes the processes of development and commercialization of innovations, representing a modernized product, with such essential distinctive features that its entry to the market leads to a devaluation of consumer properties and the value of the previous one. Such innovations are essentially a new generation of a product that is consistently in demand on the market. In this paper, we solve the problem of developing an economic and mathematical model for the dissemination of innovations in high-tech sectors of the economy, characterized by the periodicity of bringing products to the market that represent a new generation with significantly higher consumer qualities, and generating cash flow as recyclable products and again commercialized. The model of this innovation process is typical for high-tech sectors of the economy: engineering, automotive, computer technology, software and a number of others that are key to the digital economy. Therefore, the generalized mathematical model makes it possible to increase the validity of management decisions in the management systems of the most dynamically developing innovations of high-tech industries in the derivation and commercialization of new generations of products.