Our Technology
Next-Generation Prediction Engine Combining M/M/c Queue Theory and Machine Learning
M/M/c Queue Theory
SmoothQ's prediction engine is built on mathematically proven M/M/c queue theory. We calculate theoretical wait times from three parameters: arrival rate (位), service rate (渭), and number of servers (c).
Little's Law
Wq = Average Wait Time, Lq = Average Queue Length, 位 = Arrival Rate
Arrival Rate (customers per hour)
Service Rate (processing capacity per server)
Number of Service Windows
AI & Machine Learning
In addition to theoretical models, we leverage state-of-the-art machine learning to improve prediction accuracy. We consider diverse factors including historical data patterns, weather, and event information.
Time Series Analysis
Learning patterns by day and time from historical congestion data to predict future congestion.
Behavioral Psychology Model
Analyzing user behavior patterns from a psychological perspective to factor in congestion avoidance behavior.
External Factor Analysis
Analyzing and reflecting the impact of external factors like weather, holidays, and local events on congestion.
Ensemble Learning
Achieving higher accuracy and stability than single models by combining multiple prediction models.
Data Quality Tiers
Verified Data (Tier 1)
Highest precision predictions based on directly obtained facility data
Historical Data (Tier 2)
Prediction model based on historical measurement data
Estimated Model (Tier 3)
Predictions estimated from facility characteristics
Statistical Model (Tier 4)
Estimation based on statistical data from similar facilities
System Architecture
Our cloud-native system design balances high availability and low latency, providing stable service 24/7/365.
Data Collection
Real-time data collection from 130,000+ facilities nationwide. Supporting APIs, scraping, and various methods.
Data Processing
Normalizing and cleansing collected data, transforming it into formats suitable for prediction models.
Prediction Engine
Combining M/M/c theory with AI models to generate high-precision wait time predictions.
Delivery
Delivering prediction results to users nationwide with low latency through CDN.
Want to Use Our Prediction Data via API?
Integrate SmoothQ's prediction engine into your application.
View API Documentation