Method of Minimax Terminal Program Control of Enterprise Product Output for Digitalization of Decision-Making Processes

The article examines the problem of Minimax (optimization of a guaranteed result) terminal program control of enterprise product output with a vector objective function and risks. To model the dynamics of such process, a new economic-mathematical model—a system of linear discrete-time recurrent equations—is used. Its basic parameters are its phase vector of the controlled object (the enterprise), demand vector, control action vector (control), and the vector that describes a priori uncertain risks (disturbances) that arise in production. The article formalizes the problem under consideration and proposes a constructive solution method, which can serve as the basis for developing a numerical algorithm and creating a computer software application. The results presented in the paper can be used in the digitalization of decision-making processes at manufacturing enterprises.