Асимптотический анализ системы массового обслуживания с нестационарным пуассоновским потоком и переключением в переходном режиме
The paper presents a study of a queuing system with two service units, an unlimited number of servers, and a non-stationary arrival Poisson process as a mathematical model of a hybrid power system combining two energy sources. The transient asymptotic method is proposed for the deriving the time-dependent formulas for the probability distribution of the number of customers in the system under the limit condition of a high arrival rate. Gaussian form of the asymptotic probability distribution of the number of customers in the system is proved. The results of the numerical analysis are presented.
Authors
- Ekaterina Fedorova (ORCID: https://orcid.org/0000-0001-8933-5322)
- Яна Андреевна Тюленина
- Yana A. Tyulenina
Institutions
- National Research Tomsk State University (RU)
Publication Details
- Journal
- SibFU Digital Repository (Siberian Federal University)
- Published
- 2026-04-12
- Primary Topic
- Advanced Queuing Theory Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00