Two-dimensional traffic flow problems in inhomogeneous lattices

Cellular automaton (CA) models are presented to simulate the traffic jam in a two-dimensional traffic flow. Effects of introducing inhomogeneities in the form of sites having different time scales and overpasses are studied using computer simulations. We present theoretical estimates of the critical car density and the average velocity at low car densities, and compare with numerical results. Results suggest that strategically adding these sites can help sustain a moving traffic at higher car densities