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.

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SibFU Digital Repository (Siberian Federal University)
Published
2026-04-12
Primary Topic
Advanced Queuing Theory Analysis
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article
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article

Асимптотический анализ системы массового обслуживания с нестационарным пуассоновским потоком и переключением в переходном режиме

Ekaterina Fedorova, Яна Андреевна Тюленина, Yana A. Tyulenina
SibFU Digital Repository (Siberian Federal University)
Advanced Queuing Theory Analysis
article

Асимптотический анализ системы массового обслуживания с нестационарным пуассоновским потоком и переключением в переходном режиме

Ekaterina Fedorova, Яна Андреевна Тюленина, Yana A. Tyulenina
article en

Abstract

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.

SibFU Digital Repository (Siberian Federal University)
National Research Tomsk State University (RU)
Affordable and clean energy
Openalex Percentile: Top 5%
Advanced Queuing Theory Analysis
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