Diffusion approximation to multi server queue with discouragement and bulk arrival

This paper is devoted to present the simple approximate results for the Mα/M/C queuing system, applying the method of diffusion approximation for the transient behavior of probability density for the system state P(X, t/X₀ = X₀), using the method of diffusion approximation. We provide approximate modified formulae for the distributions of the mean number of customers and waiting time.