Data networks
Stochastic systems: estimation, identification and adaptive control
Stochastic systems: estimation, identification and adaptive control
Stability and performance analysis of networks supporting elastic services
IEEE/ACM Transactions on Networking (TON)
Impact of fairness on Internet performance
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Insensitive Bandwidth Sharing in Data Networks
Queueing Systems: Theory and Applications
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
ACM SIGMETRICS Performance Evaluation Review
On the Connection-Level Stability of Congestion-Controlled Communication Networks
IEEE Transactions on Information Theory
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We consider connection-level models of resource allocation in a simple symmetric three-link network, where files arrive into the network according to a Poisson process and the size of each file is exponentially distributed. For the simple network under consideration, we derive an optimal resource allocation policy which minimizes the steady-state expected number of files in the network. Using this result, we show that, in a heavy traffic regime, the mean file-transfer delay under the proportionally fair policy is at most 1.5 times the delay under the optimal policy. Simulation results indicate that the gap is even smaller.