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

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.