A Diffusion Approximation for an M/G/m Queue with Group Arrivals
用扩散近似方法，为批量到达的M/G/m排队系统推导了稳态顾客数分布，并进一步得到延迟概率和平均队列长度的近似公式，最后通过数值算例验证了近似精度。
This paper deals with the M/G/m queueing system with group arrivals. Using a diffusion approximation, we present approximate formulae for the steady-state distribution of the number of customers in the system. From this distribution, approximate formulae for some queueing characteristics such as the delay probability and the mean queue length are derived. In order to check the accuracy of the approximate formulae, they are numerically tested on some special cases.