This article deals with the techniques in multi-objective optimization problems (MOPs). In this article, the nonlinear version of the weighted sum method is considered as the scalarization problem, and the relation of the set of properly efficient points and the set of scalarization solutions (optimal solutions of the scalarized problem) is studied. In particular, conditions are determined under which the optimal solutions of the scalarized problem are properly efficient points of the MOP, and the conditions under which the properly efficient points could be characterized in terms of the scalarization solutions are presented.
Algorithmization of the quality of queueing systems is carried out in oder to optimize the work, constructing the revenue functional on the trajectories of a managed semi-Markov process while managing the system's structure. In particular, we consider both semi-Markov and Markoqueueing systems with control of several parameters chaaractirestics of the system). The task is to find the optimal management strategy.