Live Discrete-Event Message Queue Visualization
Simulating User Inflow vs Typing Pipeline
Hour 00:00
Queue Backlog & Surge Traffic (24h)
Latency Distribution (Human vs LLM)
Canonical Experiment Proof & Operating Point
Human Cost / Query: $1.85
LLM Cost / Query: $0.012
Max Queue Backlog: 342 chats
Founder Fatigue: 98%
Queue Overflow Hour: 4
The $6,000 ad experiment generates ~4,000 active chats over 24h. Human typing speed (65 WPM) caps operator capacity at ~24 chats/hour per operator shift. Queue backlog breaks at Hour 4, causing founder fatigue to spike to 98% and per-query human costs to surge to $1.85 vs $0.012 for LLM API.