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Stochastic user equilibrium traffic assignment with turn-delays in intersections

โœ Scribed by Otto Anker Nielsen; Rasmus Dyhr Frederiksen; Nikolaj Simonsen


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
448 KB
Volume
5
Category
Article
ISSN
0969-6016

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โœฆ Synopsis


Turn-delays in intersections contribute signiยฎcantly to travel times and thus route choices in urban networks. However, turns are dicult to handle in trac assignment models due to the asymmetric Jacobian in the cost functions. The paper describes a model where turn delays have been included in the solution algorithm of Stochastic User Equilibrium (SUE) trac assignment. When the Jacobian is symmetric, SUE minimises the road users' perceived travel resistances'. This is a probit-model where the links cost-functions of the links are trac dependent. Hereby, overlapping routes are handled in a consistent way. However, no theoretical proof of convergence has been given if the Jacobian is asymmetric, although convergence can be shown probable for model data representing realistic road-networks. However, according to the authors knowledge SUE with intersection delays have not been tested earlier on a full-scale network. Therefore, an essential part of the paper presents practical tests of convergence. Both geometric delays and delays caused by other turns are considered for each turn. Signalised and non-signalised intersections are handled in dierent ways, as are roundabouts. In signalised intersections a separate model handles queues longer than one green-period. Green-waves can also be taken into consideration. The model has been tested on a large-scale network for Copenhagen with good results. To make it possible to establish the comprehensive data, a GIS-based expert system' was implemented (see Nielsen, O.A., Frederiksen, R. D. and Simonsen, N. (1997). Using expert system rules to establish data on intersections and turns in road networks. International Transactions in Operational Research, 5, 513ยฑ529.


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