Russian Journal of Mathematical Research. Series A

56-63

Authors: Victor I. Samarin

Optimal planning of а production stochastic output in condition of the realization of Markov process in a closed loop queuing system is considered. It is performed calculations of the probability distribution of production output optimized by prices of its implementation, when the completeness of the products and time constraints for each production equipment are given. The composite principal-dual simplex for linear programming solving is demonstrated.

71-76

Authors: Denis A. Tarnovskiy

This article relates to the field of mathematical logic, modeling, we propose a method of constructing a model on the example of the human cardiovascular system. The study of biological systems only within physiology or medicine does not allow to fully explore the complex processes. For us is important to identify and show general patterns in the various fields of knowledge, which in turn affects the formation of the overall picture of scientific processes. Make it offered, by applying the structure of these processes on the elements of the proposed model space. I hope that the proposed ideas will bring new impetus to the study and understanding of the issues considered.

85-92

Authors: Tatyana Y. Yakovenko, Natalya F. Yakunina, Artem Kadrevich

The subject of mathematical modeling in the framework of the application of its student builders. The developed model for the implementation of works associated with the construction of the hotel and is composed of the network graph. In conclusion, the author emphasizes that the problem allows to conclude that mathematical modeling is a powerful tool in solving applied problems in engineering and to the description of concepts such as network schedules of construction work.

9-14

Authors: Veronika O. Ilyanenko, Dmitriy V. Kolbasinskiy

This article presents the first results of the simulation of the physical process of movement underground. In the future, the model will be updated and used for non-destructive testing research. The article examines the urgency and necessity of simulation of electromechanical processes in the wagon 81-714/717 during its acceleration. The article presents the power circuit of the car under consideration and the scheme of its control circuits. There's also given a description of the operation of schemes and the processes occurring during acceleration. The simulation results of acceleration process of the car 81-714/717, i.e. its speed, are represented by authors graphically.

23-37

Authors: Rafik A. Simonyan, Irina P. Lopatina, Nadezhda A. Kornienko

In this article we study the virtual waiting times parametric model Kleinrock. The analysis is the development of the idea of the probabilistic interpretation of the integral equation Takacs and nested Markov chains. In the derivation of the main results, we use the method of introducing an additional event, regardless of when the operation of the system assumes that the system receives a Poisson flow of disasters and the Laplace transform is given a probabilistic sense. Further, the unit of analysis is based on the formula of total probability.