Abstract
AbstractWe propose a nonlinear discrete model which incorporates the effects of slow-to-start property into rule 184 fuzzy CA as a mathematical traffic flow model. The exact solutions corresponding to free-flow and congested states are given for the new model. The exact average fluxes of both states are also given. By studying the stability of the uniform solution corresponding to the congested state, the critical point at which congestion does not occur is obtained analytically. This may be the first analytical result on stability of congested states of the models with slow-to-start property. The stability of some typical free-flow states are also discussed analytically.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering
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