Abstract

We investigate formation and propagation of traffic jams in directed ladder network consisted of cyclic subgraphs when an intersection is closed to vehicles. The deadlock (jam) of vehicles is induced by the closed intersection. We show how the traffic jam propagates into the network and whether or not a large-size traffic jam occurs. The macroscopic dynamic equations of vehicular densities on all roads are derived by using the speed-matching model. The densities and currents (flows) on all roads are obtained numerically. We find that the avalanche of traffic jams (deadlocks) occurs when a density is higher than a critical value, while the traffic jam does not propagate over the network at lower density than the critical value.

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