Dynamic network loading: A stochastic differentiable model that derives link state distributions
2011 (English)In: Transportation Research Part B: Methodological, ISSN 0191-2615, Vol. 45, no 9, 1410-1423 p.Article in journal (Refereed) Published
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
2011. Vol. 45, no 9, 1410-1423 p.
Probabilistic traffic flow modeling; Queueing network theory; Stochastic network loading
Transport Systems and Logistics
IdentifiersURN: urn:nbn:se:kth:diva-76739DOI: 10.1016/j.trb.2011.05.014ISI: 000208906900009ScopusID: 2-s2.0-83555176426OAI: oai:DiVA.org:kth-76739DiVA: diva2:491112
FunderTrenOp, Transport Research Environment with Novel Perspectives
TSC import 809 2012-02-06. QC 201202072012-02-062012-02-062012-06-12Bibliographically approved