Approximation of the M2/G2/1 queue with preemptive priority using the strong stability method

The main purpose of this article is to use the strong stability method to approximate the characteristics of the M
₂
/G
₂
/1 queue with preemptive priority by those of the M/G/1 queue, when the arrival intensity of the priority request is sufficiently small. This last queue is simpler and more exploitable in practice. For this, we proof the stability conditions and next we obtain the quantitative stability estimates with an exact computation of constants.