Article ID Journal Published Year Pages File Type
525316 Transportation Research Part C: Emerging Technologies 2011 10 Pages PDF
Abstract

Continuous traffic kinetic models are difficult to solve because of the occurrence of integro-differential equations in the models. In this paper, we formulate a discrete traffic kinetic model by extending the cell transmission mechanism, which can capture not only the number of vehicles, but also the velocity probability distribution. The variation in the velocity probability distribution is modeled on the basis of vehicle conservation and cell transmission to avoid integro-differential terms. An example with a discontinuous initial density is analyzed to demonstrate the validity of the proposed discrete traffic kinetic model. From the evolution curve of the velocity probability distribution, we can see that the proposed model can be used to describe the diffusion process of vehicles from a high density to a low density section.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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