Two-dimensional city traffic model with periodically placed blocks

A new two-dimensional cellular automaton traffic model is proposed, where blocks are placed periodically. The present model includes the model of two crossing roads in the limit of maximum sized blocks and the BML model in the limit of zero sized blocks. New phases of traffic flow appear between the free flow phase and the jam phase in the BML model. The boundaries between these phases come closer as the size of the block decreases and converge into one phase boundary at a density around 0.19, which is in fair agreement with the critical density in the BML model.