Evolvement of the System Complexity Degree under Different Time Scalings： an Illustration of the Traffic Flow System

It is investigable how the system scaling affects the system complexity degree. The traffic flow system is taken in this paper as an illustration to study this question. First, the Lempel-Ziv algorithm is introduced for accurate depiction of the complexity degree of the traffic flow system. We gain 3 actual sequences and 20 s period traffic flow sequences on the basis of the measure of the traffic flow data; we gain 5 traffic flow sequences whose periods are between 1 - 5 min by simulating the traffic flow system. By calculating the complicacy of the 11 sequences, we obtain two hypothesis： the complicacies of the same system are different under different time scalings; negative correlation exists between the complicacy and the time scaling of the system.