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Scipediacontent moved page Draft Content 692858458 to Savla et al 2011a

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Created page with " == Abstract == Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multipl..."

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== Abstract ==

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of indistinguishable drivers commuting between a common origin/destination pair in an acyclic transportation network. The drivers' route choices are affected by their, relatively infrequent, perturbed best responses to global information about the current network congestion levels, as well as their instantaneous local observation of the immediate surroundings as they transit through the network. A novel model is proposed for the drivers' route choice behavior, exhibiting local consistency with their preference toward globally less congested paths as well as myopic decisions in favor of locally less congested paths. The simultaneous evolution of the traffic congestion on the network and of the aggregate path preference is modeled by a system of coupled ordinary differential equations. The main result shows that, if the frequency of updates of path preferences is sufficiently small as compared to the frequency of the traffic flow dynamics, then the state of the transportation network ultimately approaches a neighborhood of the Wardrop equilibrium. The presented results may be read as a further evidence in support of Wardrop's postulate of equilibrium, showing robustness of it with respect to non-persistent perturbations. The proposed analysis combines techniques from singular perturbation theory, evolutionary game theory, and cooperative dynamical systems.

Comment: 21 pages, 2 figures, submitted

== Original document ==

The different versions of the original document can be found in:

* [http://arxiv.org/abs/1101.2220 http://arxiv.org/abs/1101.2220]

* [http://arxiv.org/pdf/1101.2220 http://arxiv.org/pdf/1101.2220]

* [http://arxiv.org/pdf/1101.2220.pdf http://arxiv.org/pdf/1101.2220.pdf]

* [http://hdl.handle.net/11583/2624520 http://hdl.handle.net/11583/2624520]

* [http://epubs.siam.org/doi/pdf/10.1137/110820804 http://epubs.siam.org/doi/pdf/10.1137/110820804],
: [http://dx.doi.org/10.1137/110820804 http://dx.doi.org/10.1137/110820804]

* [http://xplorestaging.ieee.org/ielx5/5975310/5989965/05991560.pdf?arnumber=5991560 http://xplorestaging.ieee.org/ielx5/5975310/5989965/05991560.pdf?arnumber=5991560],
: [http://dx.doi.org/10.1109/acc.2011.5991560 http://dx.doi.org/10.1109/acc.2011.5991560]

* [https://epubs.siam.org/doi/abs/10.1137/110820804 https://epubs.siam.org/doi/abs/10.1137/110820804],
: [https://lup.lub.lu.se/search/publication/6300fb54-b968-4550-8529-35d57b5ef4d2 https://lup.lub.lu.se/search/publication/6300fb54-b968-4550-8529-35d57b5ef4d2],
: [https://core.ac.uk/display/76528772 https://core.ac.uk/display/76528772],
: [https://dblp.uni-trier.de/db/journals/siamco/siamco51.html#ComoSADF13 https://dblp.uni-trier.de/db/journals/siamco/siamco51.html#ComoSADF13],
: [https://doi.org/10.1137/110820804 https://doi.org/10.1137/110820804],
: [https://www.lunduniversity.lu.se/lup/publication/1081f65b-24a9-4700-864f-a0a23b01015a https://www.lunduniversity.lu.se/lup/publication/1081f65b-24a9-4700-864f-a0a23b01015a],
: [https://portal.research.lu.se/portal/en/publications/stability-analysis-of-transportation-networks-with-multiscale-drivers-decisions(1081f65b-24a9-4700-864f-a0a23b01015a).html https://portal.research.lu.se/portal/en/publications/stability-analysis-of-transportation-networks-with-multiscale-drivers-decisions(1081f65b-24a9-4700-864f-a0a23b01015a).html],
: [https://academic.microsoft.com/#/detail/1986874565 https://academic.microsoft.com/#/detail/1986874565]

* [https://epubs.siam.org/doi/pdf/10.1137/110820804 https://epubs.siam.org/doi/pdf/10.1137/110820804],
: [https://dblp.uni-trier.de/db/journals/corr/corr1101.html#abs-1101-2220 https://dblp.uni-trier.de/db/journals/corr/corr1101.html#abs-1101-2220],
: [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000005991560 http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000005991560],
: [https://lup.lub.lu.se/search/publication/0f933a36-af24-4db7-ba89-14954af9213a https://lup.lub.lu.se/search/publication/0f933a36-af24-4db7-ba89-14954af9213a],
: [http://www.nt.ntnu.no/users/skoge/prost/proceedings/acc11/data/papers/1380.pdf http://www.nt.ntnu.no/users/skoge/prost/proceedings/acc11/data/papers/1380.pdf],
: [https://iris.polito.it/handle/11583/2624520 https://iris.polito.it/handle/11583/2624520],
: [https://portal.research.lu.se/portal/en/publications/stability-analysis-of-transportation-networks-with-multiscale-driver-decisions(0f933a36-af24-4db7-ba89-14954af9213a).html https://portal.research.lu.se/portal/en/publications/stability-analysis-of-transportation-networks-with-multiscale-driver-decisions(0f933a36-af24-4db7-ba89-14954af9213a).html],
: [https://academic.microsoft.com/#/detail/2135417721 https://academic.microsoft.com/#/detail/2135417721]

* [ ]

DOIS: 10.1109/acc.2011.5991560 10.1137/110820804

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Savla et al 2011a - Revision history

Scipediacontent: Scipediacontent moved page Draft Content 692858458 to Savla et al 2011a

Scipediacontent: Created page with " == Abstract == Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multipl..."