Congestion Due to Random Walk Routing

@inproceedings{Narayan2020CongestionDT,
  title={Congestion Due to Random Walk Routing},
  author={Onuttom Narayan and Iraj Saniee and Vladimir Marbukh},
  booktitle={COMPLEX NETWORKS},
  year={2020}
}
In this paper we derive an analytical expression for the mean load at each node of an arbitrary undirected graph for the uniform multicommodity flow problem under random walk routing. We show the mean load is linearly dependent on the nodal degree with a common multiplier equal to the sum of the inverses of the non-zero eigenvalue of the graph Laplacian. Even though some aspects of the mean load value, such as linear dependence on the nodal degree, are intuitive and may be derived from the… Expand
1 Citations
An analytical solution to the multicommodity network flow problem with weighted random routing
TLDR
An analytical expression is derived for the mean load at each node of an arbitrary undirected graph for the non-uniform multicommodity flow problem under weighted random routing that enables a (tight) upper bound for the capacity of the network under more standard routing policies. Expand

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