Analysis of m/g/1 queue model with priority

Abstract: Due to the queue phenomenon different customers needing different service quality, a model is established as follows: there are two types of customers in the system and their arrival rates are different; first-class customers have no preemptive priority, the different service time for the different customers and all the service time obeys the general distribu-tion. The following conclusions are drawn: the Laplace- Steele Kyrgyz transform of the low-priority customers ’ waiting time stationary distribution; the average waiting time in the system of low priority customers; the Laplace- Steele Kyrgyz transform of the low-priority customers ’ staying time stationary distribution; At last, this paper points out the problems to be solved