NDLI: Robust distributed routing in dynamical flow networks

Content Provider	IEEE Xplore Digital Library
Author	Como, G. Savla, K. Acemoglu, D. Dahleh, M.A. Frazzoli, E.
Copyright Year	2011
Description	Author affiliation: Department of Economics at the Massachusetts Institute of Technology, Cambridge, USA (Acemoglu, D.) \|\| Department of Automatic Control, Lund University, Sweden (Como, G.) \|\| Laboratory for Information and Decision Systems at the Massachusetts Institute of Technology, Cambridge, USA (Savla, K.; Dahleh, M.A.; Frazzoli, E.)
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.
Starting Page	6290
Ending Page	6295
File Size	224358
Page Count	6
File Format	PDF
ISBN	9781612848006
ISSN	07431546
e-ISBN	9781612848013
e-ISBN	9781612847993
DOI	10.1109/CDC.2011.6161260
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Routing Resilience Vectors Robustness Context Transportation Network topology
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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