Highlights ► A more realistic dynamical model of re-routeing is presented, using splitting rates. ► Dynamical or responsive signal control is added to the re-routeing model. ► Dynamic equisaturation can give rise to instabilities and the pitchfork bifurcation. ► The dynamic P 0 policy combined with re-routeing is stable, under certain conditions. ► A method of designing fixed time signal timings for particular situations is outlined.
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.
A splitting rate model of traffic re-routeing and traffic control
Transportation Research Part B: Methodological ; 45 , 9 ; 1389-1409
2011-01-01
21 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
A splitting rate model of traffic re-routeing and traffic control
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