On the transition from heavy traffic to heavy tails for the M/G/1 queue: The regularly varying case

Mariana Olvera-Cravioto, Jose Blanchet, Peter Glynn

Two of the most popular approximations for the distribution of the steady-state waiting time, $W_{\infty }$, of the M/G/1 queue are the so-called heavy-traffic approximation and hea…