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Dynamic network loading: a differentiable model that derives link state distributions
MIT.
KTH, School of Architecture and the Built Environment (ABE), Transport Science, Traffic and Logistics.
2011 (English)In: Papers selected for the 19th International Symposium on Transportation and Traffic Theory / [ed] Cassidy, MJ; Skabardonis, A, Elsevier, 2011, 364-381 p.Conference paper, Published paper (Other academic)
Abstract [en]

We present a dynamic network loading model that yields queue length distributions, accounts for spillbacks, and maintains a differentiable mapping from the dynamic demand on the dynamic queue lengths. The model also captures the spatial correlation of all queues adjacent to a node, and derives their joint distribution. The approach builds upon an existing stationary queueing network model that is based on finite capacity queueing theory. The original model is specified in terms of a set of differentiable equations, which in the new model are carried over to a set of equally smooth difference equations. The physical correctness of the new model is experimentally confirmed in several congestion regimes. A comparison with results predicted by the kinematic wave model (KWM) shows that the new model correctly represents the dynamic build-up, spillback, and dissipation of queues. It goes beyond the KWM in that it captures queue lengths and spillbacks probabilistically, which allows for a richer analysis than the deterministic predictions of the KWM. The new model also generates a plausible fundamental diagram, which demonstrates that it captures well the stationary flow/density relationships in both congested and uncongested conditions.

Place, publisher, year, edition, pages
Elsevier, 2011. 364-381 p.
Series
Procedia Social and Behavioral Sciences, ISSN 1877-0428 ; 17
Keyword [en]
stochastic network loading, probabilistic traffic flow modeling, queueing network theory
National Category
Transport Systems and Logistics
Identifiers
URN: urn:nbn:se:kth:diva-115884DOI: 10.1016/j.sbspro.2011.04.522ISI: 000298391900018OAI: oai:DiVA.org:kth-115884DiVA: diva2:588464
Conference
19th International Symposium on Transportation and Traffic Theory
Note

TSC import 816 2013-01-15 QC 20130625

Available from: 2013-01-15 Created: 2013-01-15 Last updated: 2013-11-07Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf