A splitting rate model of traffic re-routeing and traffic control |
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Authors: | Mike Smith Richard Mounce |
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Institution: | a Department of Mathematics, University of York, Heslington, York YO10 5DD, UK b Department of Architecture, University of Cambridge, 1-5 Scroope Terrace, Cambridge CB2 1PX, UK |
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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 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 also 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. |
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Keywords: | Re-routeing Day to day re-routeing Within day re-routeing Responsive signal control Pitchfork bifurcation |
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