Boltzmann equationIn this work, we propose an alternative stochastic model for the fundamental diagram of traffic flow with minimal number of parameters. Our approach is based on a mesoscopic viewpoint of the traffic system in terms of the dynamics of vehicle speed transitions. A key feature of ...
Despite its simplicity, we argue that the current model provides an alternative description for the fundamental diagram and its uncertainty in the study of traffic flow. 展开 关键词: Fundamental diagram Stochastic differential equation Traffic flow Variance of traffic flow Boltzmann equation ...
In the nonlinear stability analysis, the modified Korteweg–de Vries (mKdV) equation of the model is obtained based on the reductive perturbation method. By solving the mKdV equation, the kink-antikink soliton wave is obtained to describe the propagation mechanism and rules of pedestrian congestion...
Modelling the free-flow speed Detailed modelling procedures are provided in a separate publication16. In that study, a tire-sliding model was utilised to obtain the traction and friction forces between a road surface and a tire. An equation considering vehicle specifications and the water film dept...
The CTS point is defined as the point where significant changes occurs in a MFD time series, meaning that the network traffic flow state before and after a CTS point is significantly different. First, the similarity of two subseries before and after a point in a MFD time series was ...
For a single reservoir, a continuous mathematical form of traffic state as described by a mass conservation equation is as follows (Daganzo, 2007): (1)ṅr=fr,in−fr,out∀r∈R In the above equation, dynamics of the reservoir evolves due to the difference between its inflow fr,in (...
As you might be able to see what we might have needed the most was some more rigor in terms of our wiring job, but we managed to complete the task. The project was a combination of loosely planning things and organically patching any mistakes we had made while watching the system through...
Solutions of this ... H Yserentant - Springer Berlin Heidelberg 被引量: 185发表: 2010年 Regularity and Approximability of Electronic Wave Functions The electronic Schr枚dinger equation describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions...
From these points and using a linear combination of the differential equation’s fundamental solutions that govern the problem, an approximate solution for the problem is constructed. The MFS can be found in several works over the past two decades. Noteworthy are the early works of Fairweather ...
Equation (1) is not easy to be implemented in practice. Hence, we transfer this problem to a feedback control scheme. When we get the MFD of a network we know the sweet spot of the network; namely, we know the optimal number of vehicles in the network. The number of vehicles entering...