Optimization of quasi-linear models of systems with two structures and independent priorities

Explanation and mathematical model of the problem of optimal decision making is presented in the case when two independent priorities are distributed among two competing structures interacting in a single system. A model of quasi-linear type with independent priorities is investigated. Conditions of existence and uniqueness of points of global maximum and description of these points are given. Specific situations where sufficient conditions for the existence of extremum are not fulfilled or are fulfilled for only one of the priorities are considered. An example in the case of constant priorities is given.