Effective bandwidths for the multi-type UAS channel
Queueing Systems: Theory and Applications
IEEE/ACM Transactions on Networking (TON)
A methodology to optimize the design of telecommunication systems
Computer Communications
Resource allocation for broadband networks
IEEE Journal on Selected Areas in Communications
An introduction to large deviations for communication networks
IEEE Journal on Selected Areas in Communications
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We consider a stochastic server fed by a set of parallel buffers offering dynamics evolving in discrete-time and following a service called ''on demand processor sharing'' (ODPS). This environment can be encountered in several situations in telecommunications including multi-class communication switches. In this paper, an analytic study of the multiclass model is proposed by using the concept of virtual queue that we have presented [Comput. Commun., 23 (2000) 912] and a multi level aggregation technique. The arrival process in each buffer is assumed to be arbitrary, and possibly auto-correlated, stochastic process. By using the large deviation principle to study the buffers' congestion, we provide a lower upper bound on the buffers overflow probabilities. We also consider the problem of finding a most likely sample path that leads to an overflow control problem, and give some applications of these results in the traffic engineering of high-speed networks.