Resource allocation in a multiple-priority buffered link

In this paper we consider a multiple-priority buffered link, with a focus on resource allocation issues; our study was motivated by such issues in Carrier Ethernet, but the applicability of the results is by no means limited to this technology. In our model, the resource is shared by two priority classes. As the high-priority queue - intended...

Tail asymptotics of the M/G/∞ model

This paper considers the so-called M/G/∞ model: jobs arrive according to a Poisson process with rate λ, and each of them stays in the system during a random amount of time, distributed as a non-negative random variable B; throughout it is assumed that B is light-tailed. With N(t) denoting the number of jobs in the system, the random process A(t)...

M/M/∞ transience: Tail asymptotics of congestion periods

The c-congestion period, defined as a time interval in which the number of customers is larger than c all the time, is a key quantity in the design of communication networks. Particularly in the setting of M/M/∞ systems, the analysis of the duration of the congestion period, D_c, has attracted substantial attention; related quantities...