TRAFFIC SIMULATIONS THROUGH ODE-, DDE SYSTEM MODELING AND NUMERICAL COMPUTATIONS

Sammanfattning: This report is written as a project to conclude the three year bachelor part of a five year degree in engineering and will as such target students finishing their three year bachelor degrees. The main topic of this project is traffic simulation through numerical analysis, with the accompanying subtopics time integration, eigenvalue analysis and computation complexity. The tool used through the project is Matlab computational software. This project features two general traffic models where the first is based on a system of ordinary differential equations (ODE’s) and the second one is based on a system of delay differential equations (DDE’s). The project will highlight the implications of driver considerations in terms of stability, stability related to system size, stability related to reaction times and the relation between the large system stability and increasing the (h; k) values of the model.   (h; k) values of the model