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Nash Flows over Time with Spillback. (arXiv:1807.05862v1 [cs.GT])
来源于:arXiv
Modeling traffic in road networks is a widely studied but challenging
problem, especially under the assumption that drivers act selfishly. A common
approach used in simulation software is the deterministic queuing model, for
which the structure of dynamic equilibria has been studied extensively in the
last couple of years. The basic idea is to model traffic by a continuous flow
that travels over time from a source to a sink through a network, in which the
arcs are endowed with transit times and capacities. Whenever the flow rate
exceeds the capacity a queue builds up and the infinitesimally small flow
particles wait in line in front of the bottleneck. Since the queues have no
physical dimension, it was not possible, until now, to represent spillback in
this model. This was a big drawback, since spillback can be regularly observed
in real traffic situations and has a huge impact on travel times in highly
congested regions. We extend the deterministic queuing model by introducing a
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