Title :
Asymptotic analysis of the infinite-server queueing system with high-rate semi-Markov arrivals
Author :
Moiseev, Alexander ; Nazarov, Anatoly
Author_Institution :
Tomsk State Univ., Tomsk, Russia
Abstract :
Analysis of the infinite-server queueing system with semi-Markov arrivals is presented in the paper. The analysis is performed under an asymptotic condition of input rate infinite growth. It is shown that the stationary probability distribution of the number of customers in the system can be approximated by Gaussian distribution when the input rate is great enough. Parameters of the approximation are obtained in the paper. Presented numerical results validate an applicability of the obtained approximation.
Keywords :
Gaussian distribution; Markov processes; queueing theory; Gaussian distribution; asymptotic analysis; high-rate semiMarkov arrivals; infinite-server queueing system; input rate infinite growth; stationary probability distribution; Approximation methods; Equations; Markov processes; Mathematical model; Probability distribution; Queueing analysis; Vectors;
Conference_Titel :
Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2014 6th International Congress on
Conference_Location :
St. Petersburg
DOI :
10.1109/ICUMT.2014.7002153
