Push Notification Send-Time Optimization Simulator

Sending every user a notification at the same fixed hour ignores the fact that engagement is deeply personal — a commuter checks their phone at 8am, a night-shift worker at 11pm. This simulator models 220 users, each with their own bell-curve engagement profile across the 24-hour clock, and runs two send-time strategies against them day after day: a blanket blast at one global hour, and per-user targeting at each person's predicted peak. Watch the two open-rate curves diverge as simulated days pass, and see how peak sharpness and targeting-model noise change the size of the win.