Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)3751410.22363/2658-4670-2023-31-4-332-344ECPYRNArticlesСтатьиResearch ArticleOn the algorithmization of construction of the transition intensity matrix in systems with a large number of same elementsОб алгоритмизации построения матрицы интенсивностей переходов в системах с большим числом однотипных элементовhttps://orcid.org/0000-0001-8247-8988MatyushenkoSergey I.МатюшенкоС. И.

Candidate of Physical and Mathematical Sciences, Assistant professor of Department of Probability Theory and Cyber Security

matyushenko-si@rudn.ruhttps://orcid.org/0000-0002-7909-6396ZaryadovIvan S.ЗарядовИ. С.

Candidate of Physical and Mathematical Sciences, Assistant professor of Department of Probability Theory and Cyber Security

zaryadov_is@rudn.ruRUDN UniversityРоссийский университет дружбы народов15122023314VOL 31, NO4 (2023)ТОМ 31, №4 (2023)33234419012024Copyright ©; 2023, Matyushenko S.I., Zaryadov I.S.Copyright ©; 2023, Матюшенко С.И., Зарядов И.С.2023Matyushenko S.I., Zaryadov I.S.Матюшенко С.И., Зарядов И.С.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/miph/article/view/37514

In this article, using the example of a multi-channel exponential queueing system with reordering of requests, we study the problem of computer construction of the state space and coefficient matrix of a system of equilibrium equations. As a result, general principles for solving problems of this type are formulated.

В данной статье на примере многоканальной экспоненциальной системы массового обслуживания с переупорядочиванием заявок изучается задача компьютерного построения пространства состояний и матрицы коэффициентов системы уравнений равновесия. В результате сформулированы общие принципы решения задач такого типа.

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