Theoretical aspects of problem solution in production systems

The article attempts to present conceptually the definitions of the terms a “problem situation” and a “problem”. The problem, goal, strategy, means and conditions are analyzed in time, in interconnection and interdependence. A scheme for the solution of a problem based on the digital strategy model is presented. The one-to-one correspondence of the elements of the sets within the implementation of the corresponding measures connected with the solution of the problem is analyzed as an illustration of the way out of the problem situation. The model is analyzed which shows the time sections of the Minkowski space for the control vector, taking into account the reaction of the control vector to the influence of external and internal factors in time within the production system. The conclusion is made about the evolutionary reaction of the system to the emergence of a problem situation, which is formed for its self-preservation, prevention of system integrity violation and the possibility of automating the process of problem solution on the basis of a digital model.