Operational Properties Estimation Mathematical Models and Statements of Problems

Abstract

The article outlines mathematical models and mathematical statements needed to solve problems of operational (pragmatic) properties research concerning system changes and appropriate information technology use. Among such properties are system potential, dynamic capability, information technology, and digitalization performance, which are famous for economics problems research regarding information technology use. Suggested models are predictive analytical mathematical models of the system and its changed environment interaction. The purpose of such property estimation is to enable a set of problems of technological, economic, social systems design, and functional design of information technologies to be solved as mathematical problems. The model suggested describes a system of a technological type in which the function adapts to changing environmental demands and impacts (“in changing conditions”). Such changing conditions make it necessary for the system to respond with changes in regular system functioning. Such changes are possible due to some information operations performed by the system. The research hypothesis is that the effects of system functioning in changing conditions can be evaluated analytically, based on predictive mathematical models. Based on estimated effects, the analytical estimation of operational properties indicators depending on the variables and options in the mathematical problems to be solved becomes possible. Results could lead to a solution to contemporary research problems of economics and information technology using predictive analytical mathematical models and methods.