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 flow 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_iφ, 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 φ leading to the highest transportation efficiency measured by average travelling time (〈T 〉). Our work may be helpful for optimal design of networked traffic dynamics.