Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries

TL;DR

This paper introduces an approximate method to analyze the flow and density characteristics of an inhomogeneous TASEP with open boundaries, applicable to traffic and statistical physics models.

Contribution

It proposes a novel approximation technique for computing flow and density in inhomogeneous TASEP with open boundaries, including a continuous-time version.

Findings

The approximation accurately estimates particle flow and density.

The method is adaptable to continuous-time TASEP.

Potential applications in traffic and statistical physics models.

Abstract

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a vacant site and the probability that a particle occupying the rightmost site departs the system. An approximate approach to compute the particle flow rate and density in sites is proposed. A version of the approach is proposed for an analogous continuous-time process. The accuracy of the approximation is estimated. The approach can be used in traffic models and models of statistical physics.