Gybkina N. Mathematical models of the nonhomogeneous masses dynamics processes and their application in optimization problems of the main parameters of queue systems

The thesis is devoted to Markovian nonhomogeneous processes of masses dynamic. The mathematical model as system of linear inequalities with variable coefficients for problem of the mass transfer in ecological system under limitations is investigated. Sufficient conditions of such system compatibility are proved. The method of the construction of the general solutions is extended on the time domain area for coefficients. The mathematical model of mass kinetic in organism is developed. The method of metabolism correction was offered. Iodine metabolism modeling has been executed. Problems of determination of the optimal quantity service line, optimal service intensity, optimal service size for nonhomogeneous queuing processes of type “hoarder-shop” are solved The method of solutions stabilization on arbitrarily allocation for resource redistribution model was offered