Infopaket

Theory of queuing. Module 1. Module 2.

Вибіркова дисципліна для ОП

First

2023/2024

6 Semester

5

Know and understand the main sections and tasks of queuing theory, principles of analysis and modeling of queuing systems. Be able to model queuing systems, find a stationary distribution of Markov-type systems, solve optimization problems for systems with repeated calls. Demonstrate the ability to self-study and continue professional development. Be able to organize their own activities and get results within a limited time. Demonstrate skills of interaction with other people, ability to work in teams.

Full-time form

Know: basics of mathematical analysis, algebra, probability theory, mathematical statistics Be able to: formalize tasks and compile algorithms for the implementation of tasks Have basic skills: working with stochastic objects

The discipline "Methods and algorithms of queuing theory" is part of the educational and professional training program for the first (bachelor's) level of higher education in the field of knowledge 12 "Information Technology" in 124 "System Analysis", educational and professional program "System Analysis". and considers methods of analysis of queuing systems: the theory of birth and death processes, the method of Erlang stages, nested Kendall chains, the method of catastrophes. The main stages of the implementation of the theory to the solution of applied problems are considered on the examples of specific technical systems. This discipline is elective discipline in the program "Systems Analysis". It is taught in the 6th semester in the amount of 150 hours. (5 ECTS credits) in particular: lectures - 34 hours, seminars - 34 hours, consultations - 2 hours, independent work - 80 hours. The course includes 2 substantive parts and 2 tests. The discipline ends with a test.

1. BV Gnedenko, IN Kovalenko "Introduction to the theory of queuing", Ed. 3rd, ref. et al., KomKniga, 2005, 400 p. 2. В.А. Ivnitsky "Theory of queuing networks", ed. physical and mathematical Literature, 2004. - 772 p. 3. E.O. Lebedev, IA Makushenko "Optimal distribution of external load for multichannel stochastic networks. Tutorial". - К .: НБУВ, 2012. - 90 с. 4. Є.О. Lebedev, GV Livinska “Congested multi-channel networks with variable input intensity. Textbook ”, VPC“ Kyiv University ”, 2016, 120 p. 5. J.R. Artalejo, A. Gomez-Corral “Retrial Queueing Systems. A Computational Approach ”, Springer, Verlag Berlin Heidelberg, 2008, 317 p. 6. В.В. Anisimov “Switching Processes in Queueing Models”, John Wiley & Sons, 2008, 345 p. 7. LS Globa "Mathematical foundations of information and telecommunications systems. Teaching manual. ”, K .: Norita-plus, 2007. - 360 p.

Lectures, seminars

Current assessment, control work, credit

Ukrainian