Asymptotic Diffusion Analysis of Multi-Server Retrial Queue with Hyper-Exponential Service

Asymptotic Diffusion Analysis of Multi-Server Retrial Queue with Hyper-Exponential Service

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A multi-server retrial queue la rams crop top with a hyper-exponential service time is considered in this paper.The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit.On the basis of the constructed diffusion process, we obtain approximations of stationary probability distributions of the number of customers in orbit and the number of busy servers.Using simulations and numerical analysis, 730 sunken lake road we estimate the accuracy and applicability area of the obtained approximations.