GI/G/1 processor sharing queue in heavy traffic

Authors
Grishechkin, Sergei
Citation
Grishechkin, Sergei, GI/G/1 processor sharing queue in heavy traffic, Advances in applied probability , 26(2), 1994, pp. 539-555
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
26
Issue
2
Year of publication
1994
Pages
539 - 555
Database
ACNP
SICI code
Abstract
Consider GI/G/1 processor sharing queues with traffic intensity tending to 1. Using the theory of random measures and the theory of branching processes we investigate the limiting behaviour of the queue length, sojourn time and random measures describing attained and residual processing times of customers present.