an:06000226
Zbl 1235.60121
Dombry, Cl??ment; Kaj, Ingemar
The on-off network traffic model under intermediate scaling
EN
Queueing Syst. 69, No. 1, 29-44 (2011).
00287336
2011
j
60K10 60G22 60F05 60K05 90B15 90B20
on-off process; workload process; renewal process; intermediate scaling; fractional Poisson motion; fractional Brownian motion; L??vy motion; heavy tails; long-range dependence
The paper establishes an invariance principle for the normalized cumulative workload of a network with \(m\) on-off sources and time rescaled by a factor \(a\). When both the number of sources \(m\) and the time scale \(a\) tend to infinity with a relative growth given by the so-called ``intermediate connection rate'' condition, the limit process is the fractional Poisson motion.
Oleg K. Zakusilo (Ky??v)