Q
AshToolbox Quality Lean Six Sigma Suite
Intermediate Category: Process Capability & Measurement (MSA) • ~8 min read

Process Capability Analysis (Cp, Cpk, Pp, Ppk, Cpm)

Determine whether a manufacturing process complies with customer engineering tolerances and specifications.

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Q:

What is the difference between Cp and Cpk?

Cp measures potential capability based solely on process spread (6σ) relative to specification width (USL - LSL). Cpk accounts for process centering: it measures the distance from the process mean to the nearest specification limit (3σ). A process can have an excellent Cp = 2.0 but fail with Cpk < 1.0 if the mean is off-center.

Potential Cp1.000Spread vs Tolerance
Actual Cpk0.833Min(Cpu, Cpl)
Target Cpm0.894Taguchi Loss
Expected PPM6442.4Defects / Million
Normal Bell Curve vs Specification TolerancesSigma Level: 3.99σ
LSL: 9.4Mean: 10.1USL: 10.6

Understanding Process Capability & Six Sigma Standards

Process capability evaluates whether an in-control manufacturing or service process can consistently produce parts that fall within customer engineering tolerances. Industry benchmark guidelines:

  • Cpk < 1.00: Incapable process; significant defects produced.
  • 1.00 ≤ Cpk < 1.33: Barely capable; requires active statistical monitoring.
  • 1.33 ≤ Cpk < 1.67: Capable process; automotive and aerospace benchmark for existing parts.
  • Cpk ≥ 1.67: Six Sigma quality level; benchmark for new critical parameters.

Formulas

Potential Capability: Cp = (USL - LSL) / (6σ)
Upper Capability: Cpu = (USL - μ) / (3σ)
Lower Capability: Cpl = (μ - LSL) / (3σ)
Actual Capability: Cpk = Min(Cpu, Cpl)
Taguchi Capability: Cpm = (USL - LSL) / (6 × √(σ² + (μ - Target)²))
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Engineering Disclaimer: These tools and calculators are intended for engineering analysis, educational study, and operational guidance. They do not constitute formal regulatory certification (such as medical, aerospace flight-critical, or statutory safety filings) without independent audit and sign-off by a certified Quality Engineer or Six Sigma Black Belt. AshToolbox is not affiliated with, sponsored by, or endorsed by AIAG, ISO, ASQ, or any standards body.

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