M/M/1 Queue Simulator - Interactive Web Demo

🎛️ Simulation Controls

HPC Job Scheduler Mode

Preset Scenarios:

Arrival Rate (λ)

2.0

Service Rate (μ)

2.5

Simulation Speed:

1=Slow, 10=Fast

📊 Live Simulation

Queue:

Server:

🎓 Educational Features

📐 Little's Law Verification

Watch live verification that L = λW - the fundamental relationship between average number in system (L), arrival rate (λ), and average time in system (W).

👥 Individual Customer Tracking

See specific customers/jobs journey through the system, showing the variation around average wait times.

⚠️ Utilization vs Stability

Discover why 100% utilization leads to instability and exponential wait time growth.

📈 Statistical Confidence

Learn when to trust simulation results through progressive confidence indicators.