The article presents the results of studying the counter propagation of several flame fronts in a model relaxation combustion chamber. The hydrodynamic and diffusion-thermal effects caused by several flame fronts influencing each other are described. A formula that solves the kinematics of the interaction between the flame fronts is obtained.

The article describes the process of developing an automated system on the example of scheduling and preparation of the assembly production. The subject area is analyzed, similar systems are given, and the functional capabilities of the future system are determined. A functional model of the system is developed, an infological domain model is created. The interface of the developed system is presented, as well as a feasibility demonstration and development prospects.

The article presents a tensor model for losses accounting in the transmission of data packets in a computer network of an enterprise and rationale for its use in the analysis that is based on tensor methodology. Formulas for calculating the data packets losses in the computer network nodes for an enterprise and its departments, as well as for a given path in a computer network are proposed. An example of a tensor model for calculating the data packets losses for the current state of a computer network and in the case of its expansion is given. It is shown that changing the computer network of an enterprise requires the modernization of only one matrix in the model, while the formulas for calculating losses remain unchanged.

The article presents the analysis of the pulse parameters used in cardiointervalography and justification of calculations for additional parameters, which have good informational value and are available for high-precision measurement. The concepts and characteristics of probability theory and mathematical statistics are used for the estimation of calculating errors in restricted measurement time. An algorithm for measuring pulse parameters is considered. The introduced calculation of time parameters for the pulse can be used in sports and clinical conditions.

Following modern views on the operation of automated control systems for special purposes and the existing concept of a three-echelon system for protecting the Earth from dangerous space objects, it is necessary to provide a subsystem for assessing their durability. Special automated control systems should have a long service life. Therefore, for this kind of subsystems, there is a problem of their functioning in the modes of time asymmetry “past – present – future”. The aim of the study is a conceptual analysis of the fundamental bases of the methodology for assessing the indicators of the durability of the equipment of automated control systems for Earth protection systems from space threats.

The article describes options for assessing the mean time between failures of electrical centrifugal pump installations. It is necessary to get an overview of the mean time between failures of this equipment for better management. Such data would make it possible to provide targeted use of the equipment, taking into account the predicted operating time and an increase in the mean time between failures.

The article describes the design of the radar pile length meter. The characteristics of Vivaldi antennas, nanosecond pulse generator, and power supply are revealed. The results of the experimental measurement of pile length and reconstruction of metallic inclusions are presented.

The article presents a new scheme of interval analysis for the dynamics of floristic images of formations in the event of the self-recovering speed parameter of each accounting plant type is specified by the interval of the spread of its possible values. This scheme develops the obtained result in modeling the dynamics of vegetation cover as a result of variations in the temperature background. The introduction of interval limits for the variability of functional parameters makes it possible to give a proper primary assessment of the evolution of the phyto and resource potential of the territories under development, demonstrates an acceptable accuracy of interval assessment of evolutionary processes, preserves not only a qualitative picture of the dynamics of species diversity but also a rigorous quantitative assessment of the extent of the presence of each plant species.