We consider a stochastic approach in order to define an equilibrium model for a traffic-network problem. In particular, we assume a markovian behaviour of the users in their movements throughout the zones of the traffic area. This assumption turns out to be effective at least in the context of urban traffic, where, in general, the users tend to travel by choosing the path they find more convenient and not necessarily depending on the already travelled part. The developed model is a homogeneous Markov...
We consider a stochastic approach in order to define an
equilibrium model for a traffic-network problem.
In particular, we assume a Markovian behaviour of the users in their
movements throughout the zones of the traffic area. This assumption turns out
to be
effective at least in the context of urban traffic, where, in general, the users tend to
travel by choosing the path they find more convenient and not necessarily depending on the
already travelled part.
The developed model is a homogeneous...
We propose a variational model for one of the most important problems in traffic networks, namely, the network equilibrium flow that is, traditionally in the context of operations research, characterized by minimum cost flow. This model has the peculiarity of being formulated by means of a suitable variational inequality (VI) and its solution is called “equilibrium”. This model becomes a minimum cost model when the cost function is separable or, more general, when the jacobian of the cost operator...
We propose a variational model for one of the most important
problems in traffic networks, namely, the network equilibrium flow that is, traditionally
in the context of operations research, characterized by minimum cost flow.
This model has the peculiarity of being formulated by means of a suitable variational inequality (VI) and
its solution is called “equilibrium”. This model becomes a minimum cost model when the cost function is separable
or, more general, when the Jacobian of the cost operator...
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