Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
arXiv:1904.05101 · doi:10.1103/PhysRevE.100.042106
Abstract
Smooth transportation has drawn the attention of many researchers and practitioners in several fields. In the present paper, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multiple species of particles and takes into account the sequence in which the particles enter a lattice. We investigate the dependence of the transportation time on this `entering sequence' and show that for a given collection of particles group sequence in some cases minimizes the transportation time better than a random sequence. We also introduce the `sorting cost' necessary to transform a random sequence into a group sequence and show that when this is included a random sequence can become advantageous in some conditions. We obtain these results not only from numerical simulations but also by theoretical analyses that generalize the simulation results for some special cases.
arXiv comment24 pages, 26 figures, 6 tables
References in corpus (39)
- Traffic and Related Self-Driven Many-Particle Systems
- Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Tug-of-war as a cooperative mechanism for bidirectional cargo transport by molecular motors
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Phase Coexistence in Driven One Dimensional Transport
- Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
- Introduction of Frictional and Turning Function for Pedestrian Outflow with an Obstacle
- Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
- Exact solution of a cellular automaton for traffic
- Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
- Exact Stationary State for an ASEP with Fully Parallel Dynamics
- Stationary distributions of multi-type totally asymmetric exclusion processes
- Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
- Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring
- Far-from-equilibrium transport with constrained resources
- Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
- Simulation of space acquisition process of pedestrians using Proxemic Floor Field Model
- Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process
- Exact solution of an exclusion process with three classes of particles and vacancies
- Matrix product solution of the multispecies partially asymmetric exclusion process
- Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
- Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
- Spectrum in multi-species asymmetric simple exclusion process on a ring
- On the Two Species Asymmetric Exclusion Process with Semi-Permeable Boundaries
- Algebraic Bethe Ansatz for the two species ASEP with different hopping rates
- One-Dimensional Partially Asymmetric Simple Exclusion Process on a Ring with a Defect Particle
- Open two-species exclusion processes with integrable boundaries
- Exclusive Queueing Process with Discrete Time
- Matrix product solution to an inhomogeneous multi-species TASEP
- Integrable boundary conditions for multi-species ASEP
- Exclusive Queueing Processes and their Application to Traffic Systems
- Totally asymmetric simple exclusion process with a time-dependent boundary: interaction between vehicles and pedestrians at intersections
- The exact phase diagram for a class of multispecies asymmetric exclusion processes
- Density-feedback control in traffic and transport far from equilibrium
- Competition for finite resources
- Velocity control for improving flow through a bottleneck
- Effect of self-deflection on a totally asymmetric simple exclusion process with functions of site-assignments
- Dynamics of assembly production flow