algo-mfg-cpk
Cpk Process Capability Index
Overview
Cpk measures how well a process fits within specification limits, accounting for both variation (spread) and centering. Cpk = min((USL - μ) / 3σ, (μ - LSL) / 3σ). Cpk ≥ 1.33 is typically required; Cpk ≥ 1.67 for critical characteristics. Unlike Cp, Cpk penalizes off-center processes.
When to Use
Trigger conditions:
- Assessing whether a manufacturing process can meet customer specifications
- Comparing capability across processes, machines, or time periods
- Qualifying a process for production readiness
When NOT to use:
- When the process is not in statistical control (stabilize first with SPC)
- For non-normal distributions without transformation
Algorithm
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