Journal of Siberian Federal University. Mathematics & Physics / Transient Asymptotic Analysis of Queueing System with Non-stationary Poisson Arrivals and Server Unit Switches

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Tyulenina, Yana A.; Fedorova, Ekaterina A.
Contact information
Tyulenina, Yana A. : National Research Tomsk State University (Tomsk, Russian Federation); OCRID: 0009-0003-7704-7237; Fedorova, Ekaterina A. : National Research Tomsk State University (Tomsk, Russian Federation); OCRID: 0000-0001-8933-5322
Keywords
mathematical modelling; queueing theory; transient asymptotic analysis; non-stationary Poisson arrival process
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.

Pages
369–380
EDN
TOLSVD
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/158237