1
Institute of Applied Mathematics and Communications Technology Held a Seminar on ‘Mathematical modeling of Queuing systems using Markov counting chains and the presence of a small parameter’

Institute of Applied Mathematics and Communications Technology Held a Seminar on ‘Mathematical modeling of Queuing systems using Markov counting chains and the presence of a small parameter’

On February 14, 2020, a scientific seminar was held at the Institute of Applied Mathematics and Communications Technology of the faculty Sciences.

Speaker: Galina Tsareva, post-graduate student of the Department of Applied Computer Science and Probability Theory.

The report examined Queuing systems that consist of an infinite number of identical FCFS servers with a buffer that can store a queue of infinite length, with a Poisson incoming flow of requests to the Queuing system at a constant intensity.

A question of great interest was when each request received by a Queuing system randomly selects and queries two arbitrary servers of this system, and then immediately sends it to one of them, where the queue is shorter. It was discussed in detail that the dynamics of changes in the share of servers in the system can be described using an infinite system of differential equations. For this system of differential equations, a singularly perturbed Cauchy problem of Tychon type with a small parameter is posed. It was emphasized that the presence of a small parameter in the system of differential equations allows describing rapidly changing processes in large-scale Queuing systems, which makes it possible to analyze transients in systems of this type.ф

Research and Innovative Activity View all
30 Dec 2020
In 2017, RUDN University scientists constructed a new explicit second-order precision difference scheme using modern computer algebra methods for 2-dimensional Navier-Stokes equations (NSE) [1]. This year, our mathematicians used a new scheme [2] to construct a numerical solution to the Cauchy problem with initial data (for t=0) as satisfying the continuity equation. Scientists managed to achieve previously unattainable accuracy of the continuity equation.
1228
International Projects View all
Similar newsletter View all
25 Aug
Saving Private Customs Officer: RUDN young scientists develop a project of radiation dosimeter token

Every year, RUDN University hosts a competition of student scientific works “Common Start: Let’s Do Science Together.” The university provides scholarships for projects of young scientists and student associations. All developments are practice-oriented and have the potential for further commercialization.

111
11 Jul
A project by young scientists from RUDN University will help preserve rock art using silver nanoparticles

Every year, RUDN University hosts a competition of student scientific works “Common Start: Let’s Do Science Together.” The university provides scholarships for projects of young scientists and student associations. All developments are practice-oriented and have the potential for further commercialization.

136
19 Apr
RUDN medical student from India won the competition of term papers with a study of the features of the diagnosis of liver disease

RUDN hosted the competition "On the Pages of the Coursework". Twenty-five papers were recognised, 16 of them received the highest marks. One of the winners of the competition is Ravuri Priyamsha Lakhana from India (VI year, "Medical Business", Medical Institute). She researched non-alcoholic steatohepatitis and spoke about who is at risk and what is needed for early diagnosis.

142
Similar newsletter View all