On the continuum approximation of the on-and-off signal control on dynamic traffic networks.

Highlights: [•] The on-and-off (OAO) signal model and its continuum approximation are compared. [•] The continuum signal model has a number of computational and modeling advantages. [•] Convergence of the OAO model to the continuum model with diminishing signal cycle is analyzed. [•] Approximation errors of the continuum model are given for non-infinitesimal signal cycles. [•] These results depend on the presence of queue spillback and the fundamental diagram assumed. [Copyright &y& Elsevier]