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’
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
Historical conferences, meetings with political scientists and archaeologists, and interesting projects. This is the life of members of the student scientific society of the Faculty of Humanities and Social Sciences at RUDN University. It took third place in a competition among university student scientific societies.
Yulianna Morozova, a postgraduate student at the RUDN Academy of Engineering, was among the finalists of one of the prestigious projects of the Innovation Promotion Fund – the UMNIK-2025 competition. She received an individual grant of 500,000 roubles.
At the end of September, the XII Russian Forum of Biotechnology was held. This is a major event that brings together representatives of science, business, and government to address the challenges of ensuring the sustainable development of the biotechnology industry and the country’s economy. The program included expert discussions, roundtables, presentations by industry leaders, workshops, and demonstrations of technologies and equipment.
Historical conferences, meetings with political scientists and archaeologists, and interesting projects. This is the life of members of the student scientific society of the Faculty of Humanities and Social Sciences at RUDN University. It took third place in a competition among university student scientific societies.
Yulianna Morozova, a postgraduate student at the RUDN Academy of Engineering, was among the finalists of one of the prestigious projects of the Innovation Promotion Fund – the UMNIK-2025 competition. She received an individual grant of 500,000 roubles.
At the end of September, the XII Russian Forum of Biotechnology was held. This is a major event that brings together representatives of science, business, and government to address the challenges of ensuring the sustainable development of the biotechnology industry and the country’s economy. The program included expert discussions, roundtables, presentations by industry leaders, workshops, and demonstrations of technologies and equipment.