Dynamic Network Loading: A Stochastic Differentiable Model that Derives Link State Distributions
In this paper the authors 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.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/18770428
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Supplemental Notes:
- Abstract reprinted with permission from Elsevier.
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Authors:
- Osorio, Carolina
- Flotterod, Gunnar
- Bierlaire, Michel
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Conference:
- 19th International Symposium on Transportation and Traffic Theory
- Location: Berkeley CA, United States
- Date: 2011-7-18 to 2011-7-20
- Publication Date: 2011
Language
- English
Media Info
- Media Type: Web
- Features: Figures; References; Tables;
- Pagination: pp 364-381
- Monograph Title: International Symposium on Transportation and Traffic Theory, 19th
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Serial:
- Procedia - Social and Behavioral Sciences
- Volume: 17
- Publisher: Elsevier
- ISSN: 1877-0428
- Serial URL: http://www.sciencedirect.com/science/journal/18770428/53
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Publication flags:
Open Access (libre)
Subject/Index Terms
- TRT Terms: Highway capacity; Kinematics; Traffic congestion; Traffic flow; Traffic models; Traffic queuing
- Uncontrolled Terms: Dynamic network loading (Traffic control); Fundamental diagram; Spillback effects (Traffic); Traffic conditions; Wave models
- Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;
Filing Info
- Accession Number: 01345347
- Record Type: Publication
- Files: TRIS
- Created Date: Jul 21 2011 10:08AM