Abstract
The paper presents an idealised dynamical model of day-to-day or within-day re-routeing using splitting rates at nodes, or node-exit flows, rather than route-flows. It is shown that under certain conditions repeated application of the dynamical model gives rise to a sequence of link flow vectors which converges to a set of approximate Wardrop equilibria. A special dynamical signal green-time re-allocation model is added; the combination is shown (in outline) to converge to the set of approximate consistent equilibria under certain conditions. Finally the paper uses model network results to illustrate a method of designing fixed time signal timings to meet different scenarios. The paper sets the scene by giving a simple motivating model, involving both routeing changes and green-time changes following the equisaturation policy, in which unpredictable discontinuous behaviour, including a pitchfork bifurcation, occurs as a result of the interaction between re-routeing and responsive control. (C) 2010 Published by Elsevier Ltd.
Original language | English |
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Pages (from-to) | 316-340 |
Number of pages | 25 |
Journal | Procedia – Social and Behavioral Sciences |
Volume | 17 |
DOIs | |
Publication status | Published - 2011 |
Event | 19th International Symposium on Transportation and Traffic Theory (ISTTT) in honor of Carlos F. Daganzo - Berkeley, Canada Duration: 18 Jul 2011 → 20 Jul 2011 |
Keywords
- user equilibrium assignment
- variational-inequalities
- signal control
- road network
- algorithms
- transportation
- enumeration
- stability