Live Simulation
Adjust process parameters and watch control limits recalculate.
PROCESS IN CONTROL
X-bar Chart Mathematics
UCL = μ̄ + A₂ × R̄
Upper Control Limit
LCL = μ̄ − A₂ × R̄
Lower Control Limit
A₂ = 3 / (d₂ × √n)
Control chart constant (from d₂ table)
Why This Matters
In galactic logistics, a 3-sigma excursion isn't noise—it's a supply lane fracture waiting to happen. The ledger doesn't predict; it detects early enough to respond.
Deployment Protocol
01
Select Critical Parameters
Identify CTQs (Critical-to-Quality metrics) where variance directly impacts mission success.
02
Establish Baseline
Collect Phase 1 data under stable conditions. Calculate μ₀ and σ₀.
03
Set Response Triggers
Define escalation paths for 2-sigma warnings and 3-sigma alarms.
04
Automate Monitoring
Deploy sensor network feeding real-time X-bar calculations to dashboard.