Effect of adaptive delivery capacity on networked traffic dynamics

We introduce an adaptive delivering capacity mechanism into the traffic dynamic model on scale-free networks under shortest path routing strategy and focus on its effect on the network capacity measured by the critical point (R_c) of phase transition from free now to congestion. Under this mechanism, the total node's delivering capacity is fixed and the allocation of delivering capacity on node i is proportional to n_i^φ, where n_i is the queue length of node i and φ is the adjustable parameter. It is found that the network capacity monotonously increases with the increment of φ, but there exists an optimal value of parameter leading to the highest transportation efficiency measured by average travelling time (〈T〉). Our work may be helpful for optimal design of networked traffic dynamics.