Theoretical analysis of a hybrid traffic model accounting for safe velocity

Abstract

A hybrid traffic-flow model [Wang-Zhou-Yan (WZY) model] is brought out in this paper. In WZY model, the global equilibrium velocity is replaced by the local equilibrium one, which emphasizes that the modification of vehicle velocity is based on the view of safedriving rather than the global deployment. In the view of safe-driving, the effect of drivers' estimation is taken into account. Moreover, the linear stability of the traffic model has been performed. Furthermore, in order to test the robustness of the system, the evolvement of the density wave and the velocity wave of the traffic flow has been numerically calculated.

TASEP of interacting particles of arbitrary size

“…It even describes the information-driven transport of machines on a so-called energy-ladder [14]. More realistic models of these processes are based on multi-lane TASEPs with asymmetric lane-changing rates [15][16][17][18][19][20][21] The basic dynamical rule underlying these models pertains to the unidirectional motion of hard-core particles on a one dimensional lattice in such a way that double-occupancy of a site is strictly prohibited. In the case of open boundaries, particles (monomers, for example) are injected into the system at a rate α if the first site, say the leftmost site, of the lattice-segment is empty; they are ejected from the last site at the rate β.…”

Theoretical analyses of stock correlations affected by subprime crisis and total assets: Network properties and corresponding physical mechanisms*

“…[1][2][3][4] In general, the complex network can be divided into small world networks, [5] self-similarity ones, [6] regular ones, [7] partly or wholly heterogeneous one. [8] It is capable of modelling real physical or engineering phenomena like traffic flow, [9][10][11][12][13][14][15] the transcription of mRNA, [16] the directional motion of active particles, [17][18][19][20][21][22][23][24][25] etc., which leads the technology networks, [26] social networks, [27] financial network, [28][29][30][31][32][33][34][35][36][37][38][39] biological networks, etc. to emerge.…”