A LIFO queue in heavy traffic (Q1872468)

The author analyzes the heavy-traffic behaviour of an M/G/1 last-in-first-out preemptive resume queue using measure-valued processes developed by \textit{J.-F. Le Gall} and \textit{Y. Le Jan} [Ann. Probab. 26, No.~4, 1407-1432 (1998; Zbl 0945.60090)]. This approach captures all the relevant information about evolution of the queue. The heavy-traffic diffusion approximation for the residual services measure and queue-length process are derived.