Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal world, traffic signals would be timed such that consecutive lights turned green just as vehicles arrived, eliminating the need to stop at each block. Unfort...

At present, researchers have proposed many traffic flow models and research methods of phenomena, but few them are analyzed from the perspective system stability. Therefore, this paper proposes a phase plane analysis method This can describe nonlinear phenomenon on road global The model is obtained by traveling wave substitution Taylor expansion, equilibrium point solved specifying parameters. ...

We study condensation in one-dimensional transport models with a kinetic constraint. The kinetic constraint results in clustering of immobile vehicles; these clusters can grow to macroscopic condensates, indicating the onset of dynamic phase separation between free-flowing and arrested traffic. We investigate analytically the conditions under which this occurs and derive a necessary and suffici...

In this paper, the stability analysis and control design of heterogeneous traffic flow is considered. It is assumed that the traffic flow consists of infinite number of cooperative non-identical vehicular platoons. Two different networks are investigated in stability analysis of heterogeneous traffic flow: 1) inter-platoon network which deals with the communication topology of lead vehicles and...

The dynamics of User Datagram Protocol (UDP) traffic over Ethernet between two computers are analyzed using nonlinear dynamics which shows that there are two clear regimes in the data flow: free flow and congested. The two most important variables affecting this are the packet size and packet flow rate. However, this transition is due to a transcritical bifurcation rather than phase transition ...

With non-uniform traffic patterns in wireless sensor networks due to the many-to-one nature of communications, the traditional definition of connectivity in graph theory does not seem to be sufficient to satisfy the requirements of sensor networks. In this work, a new notion of connectivity (called path-implementability) is defined which represents the ability of sensor nodes to relay traffic a...

One of the main problems with today’s Internet traffic analysis is the large number of network-based applications whose types and traffic patterns are not simple compared to the past. Today, peer-to-peer (P2P), streaming media, and game traffic are increasing continuously. The difficulty with the traffic analysis is that this newly emerging traffic is not as simple as the past well-known port b...

Transportation Research Record: Journal of the Transportation Research Board, No. 2278, Transportation Research Board of the National Academies, Washington, D.C., 2012, pp. 1–12. DOI: 10.3141/2278-01 Z. Z. Tian, Department of Civil and Environmental Engineering, University of Nevada, Reno, MS 0258, Reno, NV 89557. N. Wu, Institute for Traffic Engineering, Ruhr University Bochum, 44801 Bochum, G...