In:
Journal of Applied Probability, Cambridge University Press (CUP), Vol. 37, No. 2 ( 2000-06), p. 575-597
Abstract:
We consider a network traffic model consisting of an infinite number of sources linked to a server. Sources initiate transmissions to the server at Poisson time points. The duration of each transmission has a heavy-tailed distribution. We show that suitable scalings of the traffic process converge to a totally skewed stable Lévy motion in Skorohod space, equipped with the Skorohod M 1 topology. This allows us to prove a heavy-traffic theorem for a single-server fluid model.
Type of Medium:
Online Resource
ISSN:
0021-9002
,
1475-6072
DOI:
10.1239/jap/1014842560
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2000
detail.hit.zdb_id:
1474599-9
detail.hit.zdb_id:
219147-7
SSG:
3,2