Resilient operation of transportation networks via variable speed limits

© 2017 American Automatic Control Council (AACC). In this paper, we investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected to the so...

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Main Authors: Yazicioglu, A. Yasin, Roozbehani, Mardavij, Dahleh, Munther A.
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/137410
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author Yazicioglu, A. Yasin
Roozbehani, Mardavij
Dahleh, Munther A.
author2 Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
author_facet Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Yazicioglu, A. Yasin
Roozbehani, Mardavij
Dahleh, Munther A.
author_sort Yazicioglu, A. Yasin
collection MIT
description © 2017 American Automatic Control Council (AACC). In this paper, we investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected to the so-called origin nodes of the network. The total inflow arriving at each node is routed to its operational outgoing links based on their current particle densities. The density on each link has first order dynamics driven by the difference of its incoming and outgoing flows. A link irreversibly fails if it reaches its jam density. Such failures may propagate in the network and cause a systemic failure. We show that larger link capacities do not necessarily help in preventing systemic failures under local routing. Accordingly, we propose the use of variable speed limits to operate the links below their capacities, when necessary, to compensate for the lack of global information and coordination in routing decisions. Our main result shows that systemic failures under feasible external inflows can always be averted through a proper selection of speed limits if the routing decisions are sufficiently responsive to local congestion and the network is initially uncongested. This is an attractive feature as it is much easier in practice to adjust the speed limits than to build more physical capacity or to alter routing decisions that are determined by social behavior.
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spelling mit-1721.1/1374102021-11-05T03:22:16Z Resilient operation of transportation networks via variable speed limits Yazicioglu, A. Yasin Roozbehani, Mardavij Dahleh, Munther A. Massachusetts Institute of Technology. Laboratory for Information and Decision Systems © 2017 American Automatic Control Council (AACC). In this paper, we investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected to the so-called origin nodes of the network. The total inflow arriving at each node is routed to its operational outgoing links based on their current particle densities. The density on each link has first order dynamics driven by the difference of its incoming and outgoing flows. A link irreversibly fails if it reaches its jam density. Such failures may propagate in the network and cause a systemic failure. We show that larger link capacities do not necessarily help in preventing systemic failures under local routing. Accordingly, we propose the use of variable speed limits to operate the links below their capacities, when necessary, to compensate for the lack of global information and coordination in routing decisions. Our main result shows that systemic failures under feasible external inflows can always be averted through a proper selection of speed limits if the routing decisions are sufficiently responsive to local congestion and the network is initially uncongested. This is an attractive feature as it is much easier in practice to adjust the speed limits than to build more physical capacity or to alter routing decisions that are determined by social behavior. 2021-11-04T19:46:54Z 2021-11-04T19:46:54Z 2017-05 2019-05-14T16:58:49Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/137410 Yazicioglu, A. Yasin, Roozbehani, Mardavij and Dahleh, Munther A. 2017. "Resilient operation of transportation networks via variable speed limits." en 10.23919/acc.2017.7963830 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv
spellingShingle Yazicioglu, A. Yasin
Roozbehani, Mardavij
Dahleh, Munther A.
Resilient operation of transportation networks via variable speed limits
title Resilient operation of transportation networks via variable speed limits
title_full Resilient operation of transportation networks via variable speed limits
title_fullStr Resilient operation of transportation networks via variable speed limits
title_full_unstemmed Resilient operation of transportation networks via variable speed limits
title_short Resilient operation of transportation networks via variable speed limits
title_sort resilient operation of transportation networks via variable speed limits
url https://hdl.handle.net/1721.1/137410
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AT roozbehanimardavij resilientoperationoftransportationnetworksviavariablespeedlimits
AT dahlehmunthera resilientoperationoftransportationnetworksviavariablespeedlimits