A queueing system with queue length dependent service times, with applications to cell discarding in ATM networks
Doo Il Choi, Charles Knessl, Charles Tier · International Journal of Stochastic Analysis · 1998
A queueing system (M/G1, G2/1/K) is considered in which the service time of a customer entering service depends on whether the queue length, N(t), is above or below a threshold L. The arrival process is Poisson, and the general service times S1 and S2 depend on whether the queue length at the time service is initiated is