A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multilane model for unidirectional freeways including acceleration, deceleration, velocity fluctuations, overtaking, and lane-changing maneuvers is systematically deduced from a gas-kinetic (Boltzmann-like) approach. The resulting equations contain corrections with respect to previous models. For efficient computer simulations, a reduced model delineating the coarse-grained temporal behavior is derived and applied to bottleneck situations.
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Helbing et al. (1997) studied this question.
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