Waiting Time Asymptotic Analysis of a M/GI/1 Retrial Queue System

Anatoly Nazarov, Maria Samorodova
15m
In this paper we dial with M/GI/1 retrial queueing system and conduct asymptotic analysis of the waiting time. The main result of this analysis is the asymptotic characteristic function of the waiting time distribution under a heavy load condition . Also during the analysis the asymptotic distribution of the number of returns of the tagged request to the orbit and the asymptotic distributions of the number of requests in the orbit were obtained.