Resource Allocation over Network Dynamics without Timescale Separation

@article{Proutire2010ResourceAO,
  title={Resource Allocation over Network Dynamics without Timescale Separation},
  author={Alexandre Prouti{\`e}re and Yung Yi and Tian Lan and Mung Chiang},
  journal={2010 Proceedings IEEE INFOCOM},
  year={2010},
  pages={1-5}
}
We consider a widely applicable model of resource allocation where two sequences of events are coupled: on a continuous time axis $(t)$, network dynamics evolve over time. On a discrete time axis $[t]$, certain control laws update resource allocation variables according to some proposed algorithm. The algorithmic updates, together with exogenous events out of the algorithm's control, change the network dynamics, which in turn changes the trajectory of the algorithm, thus forming a loop that… CONTINUE READING
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