The on-off network traffic model under intermediate scaling (Q660142)

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.