Tail asymptotics for the queue length in an M/G/1 retrial queue
Kluwer Academic Publishers
M/G/1 retrial queue; Queue length; Subexponentiality; Regular variation; Tail asymptotics
In this paper, we study the tail behavior of the stationary queue length of an M/G/1 retrial queue. We show that the subexponential tail of the stationary queue length of an M/G/1 retrial queue is determined by that of the corresponding M/G/1 queue, and hence the stationary queue length in an M/G/1 retrial queue is subexponential if the stationary queue length in the corresponding M/G/1 queue is subexponential. Our results for subexponential tails also apply to regularly varying tails, and we provide the regularly varying tail asymptotics for the stationary queue length of the M/G/1 retrial queue.
Copyright © 2006 Springer Science + BusinessMedia, LLC.
Access to external full text or publisher's version may require subscription.
Shang, W., Liu, L., Li, Q.-L. (2006). Tail asymptotics for the queue length in an M/G/1 retrial queue. Queueing Systems, 52(3), 193-198. doi: 10.1007/s11134-006-5223-1