Cellular Automata Model for a Specific Traffic Regime and 1/f Noise

We examine the traffic lights regime to enable the fastest overall approach to a city for a specific case. The case involves a traffic light where one continues on the main road, into which additional cars are entering at the light. At this intersection an alternative route begins, which is longer but into which no additional cars are entering. To keep the total number of vehicles constant, we subtract on the main road far from the intersection, the same number of cars as were added at the intersection. In addition to checking different densities we check also the influence of changes in the number of cars which were added. We calculate the Fourier transform of the average on each traffic light cycles of the velocity on the main road and bypass. We obtained different results for different cases. All the cases can be written as 1/ f a .