SIMULATION ANALYSIS OF THE TOTALLY ASYMETRIC SIMPLE EXCLUSION PROCESS TO DETERMINE THE PROFIL OF THE ONE-BODY CORRELATION FUNCTION, TWO-BODY CORRELATION FUNCTION, AND THREE-BODY CORRELATION FUNCTION AROUND THE ENDS OF THE LATTICE WITH LATTICE NUMBER VARIATION

R A Adipurno,Wipsar Sunu Brams Dwandaru,Denny Darmawan,Bambang Ruwanto

doi:10.21831/jsd.v4i1.8427

Abstract

This study aimed to determine the behavior of one-body, two-body, and three-body correlation functions of the model dynamics TASEP with sequential updating rules and open boundary conditions on vehicular traffic around the end of the traffic light. The study began with the determination of algorithm to model the dynamics of TASEP and coding, with the variation of the input rate (α) , the output rate (β), and the number of lattice sites (N). Then the program run with specific time limit (t) and number of systems (M). The value of the one-body correlation function determines the average occupancy of particles in lattice site-i at time t. Two-body correlation function determines the average occupancy of particle at site-i when there is another particle occupying the nearest neighbor lattice, i+1, at time t. Three-body correlation function determines the average occupancy of particles to occupy lattice site-i when there are other particles occupying the nearest and next nearest neighbor lattice sites, i+1 and i+2, at time t. The value of the one-body correlation function turns out to be larger than the value of the two-body correlation function. The value of the two-body correlation function is larger than the value of the three-body correlation function for all phases. The correlation between a vehicle to another vehicle will be even greater. Keywords: TASEP, sequential updating, n-body correlation function

Highlights

Ditinjau perilaku kendaraan yang berada di sekitar lampu lalu lintas
TASEP merupakan proses stokastik dimana partikel yang menempati sebuah kekisi akan bergerak kekisi sebelah atau tetangga terdekat selama kekisi tetangga tersebut tidak ditempati oleh partikel lain [2]
Keterkaitan model TASEP dengan lalu lintas kendaraan ini adalah semakin panjang jalan tersebut, maka korelasi yang diberikan pada masing-masing kendaraan terhadap kendaraan yang lain akan semakin besar, seperti yang terdapat pada coexistence phase dengan korelasi antar kendaraan sebesar 45% dan 55%

Summary

Introduction

Ditinjau perilaku kendaraan yang berada di sekitar lampu lalu lintas. Jika lampu lalu lintas sedang berada pada kondisi berwarna hijau, laju kendaraan yang ada di belakang akan sangat. Jika lampu lalu lintas sedang berada pada kondisi berwarna hijau, laju kendaraan yang ada di belakang akan sangat Dalam model TASEP dapat ditentukan kerapatan dan arus partikel yang melalui kekisi.

Objectives

Results

Conclusion