14 research outputs found
Vehicular traffic flow at an intersection with the possibility of turning
We have developed a Nagel-Schreckenberg cellular automata model for
describing of vehicular traffic flow at a single intersection. A set of traffic
lights operating in fixed-time scheme controls the traffic flow. Open boundary
condition is applied to the streets each of which conduct a uni-directional
flow. Streets are single-lane and cars can turn upon reaching to the
intersection with prescribed probabilities. Extensive Monte Carlo simulations
are carried out to find the model flow characteristics. In particular, we
investigate the flows dependence on the signalisation parameters, turning
probabilities and input rates. It is shown that for each set of parameters,
there exist a plateau region inside which the total outflow from the
intersection remains almost constant. We also compute total waiting time of
vehicles per cycle behind red lights for various control parameters.Comment: 8 pages, 17 eps figures, Late
Asymmetric simple exclusion process describing conflicting traffic flows
We use the asymmetric simple exclusion process for describing vehicular
traffic flow at the intersection of two streets. No traffic lights control the
traffic flow. The approaching cars to the intersection point yield to each
other to avoid collision. This yielding dynamics is model by implementing
exclusion process to the intersection point of the two streets. Closed boundary
condition is applied to the streets. We utilize both mean-field approach and
extensive simulations to find the model characteristics. In particular, we
obtain the fundamental diagrams and show that the effect of interaction between
chains can be regarded as a dynamic impurity at the intersection point.Comment: 7 pages, 10 eps figures, Revte
Intersection of two TASEP traffic lanes with frozen shuffle update
Motivated by interest in pedestrian traffic we study two lanes
(one-dimensional lattices) of length that intersect at a single site. Each
lane is modeled by a TASEP (Totally Asymmetric Exclusion Process). The
particles enter and leave lane (where ) with probabilities
and , respectively. We employ the `frozen
shuffle' update introduced in earlier work [C. Appert-Rolland et al, J. Stat.
Mech. (2011) P07009], in which the particle positions are updated in a fixed
random order. We find analytically that each lane may be in a `free flow' or in
a `jammed' state. Hence the phase diagram in the domain
consists of four regions with boundaries
depending on and . The regions meet in a single point on the
diagonal of the domain. Our analytical predictions for the phase boundaries as
well as for the currents and densities in each phase are confirmed by Monte
Carlo simulations.Comment: 7 figure