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A splitting rate model of traffic re-routeing and traffic control

Mike Smith and Richard Mounce

Transportation Research Part B: Methodological, 2011, vol. 45, issue 9, 1389-1409

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.

Keywords: Re-routeing; Day to day re-routeing; Within day re-routeing; Responsive signal control; Pitchfork bifurcation (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (29)

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DOI: 10.1016/j.trb.2011.05.013

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