Abstract
In this paper, we study the possibilities of applying the theory of interval systems of linear algebraic equations to solve problems of mathematical modeling of processes using experimental data. It is assumed that the simulated process is described by the output variable and a set of input variables with deterministic connections described by a linear equation. During simulation, a theoretical approach is used for initial assumptions about the structure of the model and the boundaries of measurement error intervals for all variables being reliable and not requiring verification of their feasibility by exploratory analysis methods. This formulation of the process modeling problem allows focusing on the study of practical values of the basic sets of solutions of interval systems of linear algebraic equations: combined, tolerated and controlled. For the sake of clarity of the methods and the results obtained, the study is conducted on the specific example of the process with a simultaneous visual analysis of data being carried out.DOI 10.14258/izvasu(2018)1-20