1,186 research outputs found
A Multi-Species Asymmetric Exclusion Model with an Impurity
A multi-species generalization of the Asymmetric Simple Exclusion Process
(ASEP) has been considered in the presence of a single impurity on a ring. The
model describes particles hopping in one direction with stochastic dynamics and
hard core exclusion condition. The ordinary particles hop forward with their
characteristic hopping rates and fast particles can overtake slow ones with a
relative rate. The impurity, which is the slowest particle in the ensemble of
particles on the ring, hops in the same direction of the ordinary particles
with its intrinsic hopping rate and can be overtaken by ordinary particles with
a rate which is not necessarily a relative rate. We will show that the phase
diagram of the model can be obtained exactly. It turns out that the phase
structure of the model depends on the density distribution function of the
ordinary particles on the ring so that it can have either four phases or only
one. The mean speed of impurity and also the total current of the ordinary
particles are explicitly calculated in each phase. Using Monte Carlo
simulation, the density profile of the ordinary particles is also obtained. The
simulation data confirm all of the analytical calculations.Comment: 20 pages,10 EPS figures; to appear in Physica
A Study of Truck Platooning Incentives Using a Congestion Game
We introduce an atomic congestion game with two types of agents, cars and
trucks, to model the traffic flow on a road over various time intervals of the
day. Cars maximize their utility by finding a trade-off between the time they
choose to use the road, the average velocity of the flow at that time, and the
dynamic congestion tax that they pay for using the road. In addition to these
terms, the trucks have an incentive for using the road at the same time as
their peers because they have platooning capabilities, which allow them to save
fuel. The dynamics and equilibria of this game-theoretic model for the
interaction between car traffic and truck platooning incentives are
investigated. We use traffic data from Stockholm to validate parts of the
modeling assumptions and extract reasonable parameters for the simulations. We
use joint strategy fictitious play and average strategy fictitious play to
learn a pure strategy Nash equilibrium of this game. We perform a comprehensive
simulation study to understand the influence of various factors, such as the
drivers' value of time and the percentage of the trucks that are equipped with
platooning devices, on the properties of the Nash equilibrium.Comment: Updated Introduction; Improved Literature Revie
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