A priority discipline for proportional service level differentiation

We suggest a priority discipline for differentiating service levels by customer class. The priority function includes customer arrival time and a class-specific parameter. By adjusting the parameter, the priority discipline controls relative service level between traffic classes. We find out the relationship between the parameter and service level through asymptotic analysis of queue waiting time distribution for a two-class queueing system with Poisson arrival. Numerical experiments show that this relationship can be used effectively to implement proportional service level differentiation when the required service levels are high.