Bauso, D., Zhang, X. and Papachristodoulou, A. (2015) Density flow over networks: A mean-field game theoretic approach. In: Proceedings of the IEEE Conference on Decision and Control. 53rd IEEE Conference on Decision and Control, December 15-17, 2014, Los Angeles, California, USA. Institute of Electrical and Electronics Engineers , 3469 - 3474. ISBN 978-1-4799-7746-8
Abstract
A distributed routing control algorithm for dynamic networks has recently been presented in the literature. The networks were modeled using time evolution of density at network edges and the routing control algorithm allowed edge density to converge to a Wardrop equilibrium, which was characterized by an equal traffic density on all used paths. We borrow the idea and rearrange the density model to recast the problem within the framework of mean-field games. The contribution of this paper is three-fold. First, we provide a mean-field game formulation of the problem at hand. Second, we illustrate an extended state space solution approach. Third, we study the stochastic case where the density evolution is driven by a Brownian motion.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Jan 2016 14:36 |
Last Modified: | 20 Mar 2018 23:09 |
Published Version: | http://dx.doi.org/10.1109/CDC.2014.7039927 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers |
Refereed: | Yes |
Identification Number: | 10.1109/CDC.2014.7039927 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89655 |