OPTIMIZATION OF QUASI-LINEAR MODELS OF COMPLEX SYSTEMS WITH A FINITE NUMBER OF DETERMINISTIC PRIORITIES.

In this article, the authors present some results related to the search for an optimal solution to the optimization problem of managing an economic system with a finite number of interconnected institutions that are influenced by an external “regulator”. The regulator is interested in the fruitful interaction of all structures; it manages the system by setting appropriate priorities. The optimization problem comes down to finding the maximum point of the objective function of the regulator (optimizer). The paper presents an analytical solution to the problem and derives formulas for finding the maximum point of the objective function for the case of a finite number of deterministic priorities. [ABSTRACT FROM AUTHOR]