Piecewise linear car-following modeling

Piecewise linear car-following modeling

We present a traffic model that extends the linear car-following model as well as the minplus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is interpreted as a dynamic programming equation of a stochastic optimal control problem of a Markov chain. This variational formulation permits to characterize th...

Piecewise Linear Modeling :

Modeling Car-following Using System Dynamics

Car following models describe driver behavior in a traffic stream and therefore form a key component of all microscopic traffic simulation models. A large number of following models have been proposed and are described in the literature, however, many of these models are based on unrealistic assumptions of drivers' abilities and/or the models make use of relationships that do not correspond to ...

Piecewise Constant Controlled Linear Fuzzy Systems

The Piecewise Linear Ballistic Accumulator 1 Running head: THE PIECEWISE LINEAR BALLISTIC ACCUMULATOR A new framework for modeling decisions about changing information: The Piecewise Linear Ballistic Accumulator model

In the real world, decision making processes must be able to integrate non-stationary information that changes systematically while the decision is in progress. Although theories of decision making have traditionally been applied to paradigms with stationary information, non-stationary stimuli are now of increasing theoretical interest. We developed the piecewise linear ballistic accumulator (P...