Robust distributed routing in dynamical flow networks
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Acemoglu_Robust distributed.pdf
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Author(s)
Como, Giacomo
Savla, Ketan D.
Acemoglu, Daron
Dahleh, Munther A.
Frazzoli, Emilio
Date Issued
December 2011
Journal
Proceedings of the 2011 50th IEEE Conference on Decision and Control and European Control Conference
Publisher
Institute of Electrical and Electronics Engineers
Citation
Como, Giacomo, Ketan Savla, Daron Acemoglu, Munther A. Dahleh, and Emilio Frazzoli. “Robust distributed routing in dynamical flow networks.” In IEEE Conference on Decision and Control and European Control Conference, 12-15 Dec. 2011, Orlando, Fla., 6290-6295. Institute of Electrical and Electronics Engineers, 2011.
Version
Original manuscript
Abstract
Robustness of distributed routing policies is studied for dynamical flow networks, with respect to adversarial disturbances that reduce the link flow capacities. A dynamical flow network is modeled as a system of ordinary differential equations derived from mass conservation laws on a directed acyclic graph with a single origin-destination pair and a constant inflow at the origin. Routing policies regulate the way the inflow at a non-destination node gets split among its outgoing links as a function of the current particle density, while the outflow of a link is modeled to depend on the current particle density on that link through a flow function. The robustness of distributed routing policies is evaluated in terms of the network's weak resilience, which is defined as the infimum sum of link-wise magnitude of disturbances under which the total inflow at the destination node of the perturbed dynamical flow network is positive. The weak resilience of a dynamical flow network with arbitrary routing policy is shown to be upper-bounded by the network's min-cut capacity, independently of the initial flow conditions. Moreover, a class of distributed routing policies that rely exclusively on local information on the particle densities, and are locally responsive to that, is shown to yield such maximal weak resilience. These results imply that locality constraints on the information available to the routing policies do not cause loss of weak resilience.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. Department of Economics
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/CDC.2011.6161260
