Python WiFi QoS UsersCapacity Estimator is an interactive tool to calculate the maximum number of users that can share a WiFi (IEEE 802.11a/b/g/n) router while maintaining acceptable Quality of Service (QoS). The tool leverages queuing theory (M/M/1/B) and Markov models to evaluate how user activity patterns and router parameters affect network performance.

• Estimate router capacity in real scenarios:
  Analyze how many roommates or users can share a WiFi router for different activities (browsing, streaming, gaming, etc.) without degrading user experience.

• Powered by Python:
  Modern GUI (Tkinter) and real-time charts (matplotlib).

• User-friendly graphical interface
• Configurable parameters (bandwidth, buffer, router capacity, QoS thresholds, user activity)
• Supports various real-world scenarios and activity profiles
• Automated performance analysis with visual plots
• Flexible and ready for academic or practical use

The tool models user behavior using a Markov chain (active/idle states) and network congestion using the M/M/1/B queuing model. It computes:

• Blocking Probability (SB): Likelihood of packet loss due to full buffer
• Average Waiting Time (W): Network delay per packet

An iterative simulation determines the maximum number of users that meet selected QoS constraints.

Python 3.8+ recommended.

pip install matplotlib

Tkinter is included by default in standard Python distributions.

git clone https://github.com/yourusername/Python-Wifi-QoS-UsersCapacity-Estimator.git
cd Python-Wifi-QoS-UsersCapacity-Estimator

python users_capacity_estimator.py

• Maximum Waiting Time (W_max) in milliseconds (e.g., 50)
• Minimum Bandwidth per User (BW_min) in Mbps (e.g., 5)
• Router Capacity in packets/sec (e.g., 20000 for IEEE 802.11n)
• Buffer Size (B) in packets (e.g., 64)
• Blocking Probability SB (max packet loss %) (e.g., 1)
• User Activity Scenario: Select from General Usage, Web Browsing, Gaming, or Video Streaming

• The GUI displays the maximum number of users supported under your settings.
• A plot window shows Waiting Time and Blocking Probability versus the number of users.

Scenario:

• Want to know how many users can share a WiFi router (IEEE 802.11n, 240 Mbps) with max 1% packet loss and max 50ms delay.

Input Parameters:

• Maximum Waiting Time: 50
• Minimum Bandwidth per User: 5
• Router’s Capacity: 20000
• Buffer Size: 64
• Blocking Probability: 1
• User Activity: General Usage (25%)

Result:

• Python GUI: Tkinter
• Plotting: matplotlib
• Networking Models: Markov chain (user behavior), M/M/1/B queuing
• Customizable: All network parameters, buffer size, activity patterns

• GUI programming with Tkinter
• Data visualization with matplotlib
• Algorithmic implementation of queuing theory and Markov processes
• Input validation, error handling, and modular code structure

MIT License.

Gabriel Naranjo Orozco
MEng, University of Victoria, Department of Electrical and Computer Engineering
LinkedIn

Feel free to fork, suggest improvements, or use this tool for your own academic or practical WiFi planning!