The paper considers a new approach to building models of nonstationary service systems based on: the formation of all possible states of a nonstationary service system with a finite number of applications and rules of transition between them; the formation of the coefficient matrix of Chapman-Kolmogorov differential equation system; the numbering procedure for all states. A critical analysis is made of the algorithms for the formation of the coefficient matrix and the numbering procedure for all states: sequential, recursive and recursive with grouping. Its comparison with the recursive algorithm is given, as well as the optimal structure for storing the list of states for the sequential algorithm. Recommendations for the practical application of software implementations of the considered algorithms are discussed. Theoretical foundations for building and calculating models of nonstationary service systems have been developed. It is compared to the recursive algorithm. The optimal structure for storing the list of states for a sequential algorithm is given.

The issues of measuring the coefficients of vertical and horizontal dynamics of a subway car during running dynamic tests are reviewed. The theoretical research of bogie frame loading by finite element method has been done. Analysis of complex calculation outcomes and stress distribution diagrams on bogie frame under the action of vertical, longitudinal, and lateral forces has allowed defining the place of strain gauges installation on the elements of the bogie and the signal processing method for measuring vertical and lateral forces acting on bogie frame of the subway car. The new measuring circuit with strain gauges connected in two full bridges with a four-wire connection scheme will provide simultaneous measurement of vertical and lateral forces acting on the subway car bogie frame. The running tests on the evaluation of dynamic qualities of subway car model 81-714Uz confirmed the effectiveness of the developed measuring scheme for determining the indicators of vertical and horizontal dynamics of a subway car.

The paper considers the quantization of gas volume transfers along a hypothetical pipe. The volume of gas is represented by two probability distributions in temporal and velocity form. The known model of optimal in the sense of filling information quantization is applied to quantization of material objects. There is a constant size gap between quanta. Technological aspects of formation of quanta are not considered. On the basis of the carried out minimum cost study the advantage of velocity quantization over time quantization for a number of selected quanta is determined. A normal probability distribution is taken as the initial distribution of the gas volume. The results of the article can be applied to any material and information processes. The main purpose in future research is recommended for any complex network processes, analysis and synthesis of their quality.