quadcopter_with_PID_controller
Quadcopter dynamics simulation with two proportional–integral–derivative (PID) controllers that adjust the motor speeds…
Vehicular traffic flow simulator in road network for Python
UXsim is a free, open-source macroscopic and mesoscopic network traffic flow simulator written in Python. It simulates the movements of car travelers and traffic congestion in road networks. It is suitable for simulating large-scale (e.g., city-scale) traffic phenomena. UXsim is especially useful for scientific and educational purposes because of its simple, lightweight, and customizable features, but users are free to use UXsim for any purpose.
If you are interested, please see:
pandas.DataFrame and CSV filesMatplotlib; interactive GUI is also availablePyTorch for deep reinforcement learning traffic controluxsim.py is only about 1200 lines of code. Users may easily understand and customize itpip install uxsim onlyBelow are simulation results where approximately 60000 vehicles pass through a 10km x 10km grid network in 2 hours. The computation time was about 30 seconds on a standard desktop PC.
Visualization of link traffic states (thicker lines mean more vehicles, darker colors mean slower speeds) and some vehicle trajectories:
Vehicle trajectory diagram on a corridor of the above network:

A traffic signal controller is trained by deep reinforcement learning (DRL) using PyTorch. The left (or upper) scenario shows no control with fixed signal timing; the traffic demand exceeds the network capacity with the naive signal setting, and a gridlock occurs. The right (or bottom) scenario shows DRL control, where the traffic signal can be changed by observing queue length; although the demand level is the same, traffic flows smoothly. A Jupyter Notebook of this example is available.
UXsim is available for Python version 3.10 or later.
The simplest way is to use pip to install from PyPI:
pip install uxsim
You can also install with conda from conda-forge channel:
conda install uxsim
For the details, please see here.
You can also use pip to install the GitHub version:
pip install -U -e git+https://github.com/toruseo/uxsim@main#egg=uxsim
Or any other (development) branch on this repo or your own fork:
pip install -U -e git+https://github.com/YOUR_FORK/uxsim@YOUR_BRANCH#egg=uxsim
Download the uxsim directory from this Github repo or the latest release and place it in your local directory as follows:
your_project_directory/
├── uxsim/ # The uxsim directory
│ ├── uxsim.py # The main code of UXsim. You can customize this as you wish
│ └── ... # Other files and directories in uxsim
├── your_simulation_code.py # Your code if necessary
├── your_simulation_notebook.ipynb # Your Jupyter notebook if necessary
├── ... # Other files if necessary
This way, you can flexibly customize UXsim on your own.
As a simple example, the following code will simulate traffic flow in a Y-shaped network.
from uxsim import World
# Define the main simulation
# Units are standardized to seconds (s) and meters (m)
W = World(
name="", # Scenario name
deltan=5, # Simulation aggregation unit delta n
tmax=1200, # Total simulation time (s)
print_mode=1, save_mode=1, show_mode=1, # Various options
random_seed=0 # Set the random seed
)
# Define the scenario
# Create nodes
W.addNode(name="orig1", x=0, y=0) #xy coords are for visualization
W.addNode(name="orig2", x=0, y=2)
W.addNode(name="merge", x=1, y=1)
W.addNode(name="dest", x=2, y=1)
# Create links between nodes
W.addLink(name="link1", start_node="orig1", end_node="merge", length=1000, free_flow_speed=20, number_of_lanes=1)
W.addLink(name="link2", start_node="orig2", end_node="merge", length=1000, free_flow_speed=20, number_of_lanes=1)
W.addLink(name="link3", start_node="merge", end_node="dest", length=1000, free_flow_speed=20, number_of_lanes=1)
# Create OD traffic demand between nodes
W.adddemand(orig="orig1", dest="dest", t_start=0, t_end=1000, flow=0.45)
W.adddemand(orig="orig2", dest="dest", t_start=400, t_end=1000, flow=0.6)
# Run the simulation to the end
W.exec_simulation()
# Print summary of simulation result
W.analyzer.print_simple_stats()
# Visualize snapshots of network traffic state for several timesteps
W.analyzer.network(t=100, detailed=1, network_font_size=12)
W.analyzer.network(t=600, detailed=1, network_font_size=12)
W.analyzer.network(t=800, detailed=1, network_font_size=12)
It will output text to the terminal and images to the out directory like below:
simulation setting:
scenario name:
simulation duration: 1200 s
number of vehicles: 810 veh
total road length: 3000 m
time discret. width: 5 s
platoon size: 5 veh
number of timesteps: 240
number of platoons: 162
number of links: 3
number of nodes: 4
setup time: 0.00 s
simulating...
time| # of vehicles| ave speed| computation time
0 s| 0 vehs| 0.0 m/s| 0.00 s
600 s| 130 vehs| 13.7 m/s| 0.03 s
1195 s| 75 vehs| 12.3 m/s| 0.06 s
simulation finished
results:
average speed: 11.6 m/s
number of completed trips: 735 / 810
average travel time of trips: 162.6 s
average delay of trips: 62.6 s
delay ratio: 0.385
To learn more about UXsim, please see:
UXsim is released under the MIT License. You are free to use it as long as the source is acknowledged.
When publishing works based on UXsim, please cite:
@Article{seo2025joss,
author = {Toru Seo},
journal = {Journal of Open Source Software},
title = {{UXsim}: lightweight mesoscopic traffic flow simulator in pure {Python}},
year = {2025},
number = {106},
pages = {7617},
volume = {10},
doi = {10.21105/joss.07617},
publisher = {The Open Journal},
url = {https://doi.org/10.21105/joss.07617},
}
If you need more detailed information, please also cite:
Works using UXsim are summarized on the Github Wiki page. Please feel free to edit.
Contributions are welcome! Please see the Contributing Guideline.
If you have any questions or suggestions, please post them to the Issues or Discussions (in English or Japanese).
I (Toru Seo) work on this project in my spare time. Please understand that my response may be delayed.
UXsim is based on various works in traffic flow theory and related fields. We acknowledge the contributions of the research community in advancing this field. Specifically, UXsim directly uses the following works:
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