On the tail asymptotics of the area swept under the Brownian storage graph

Marek Arendarczyk, Krzysztof Dȩbicki, Michel Mandjes

In this paper, the area swept under the workload graph is analyzed: with $\{Q(t):t\ge 0\}$ denoting the stationary workload process, the asymptotic behavior of \[π_{T(u)}(u):={\ma…