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    Process State

    Process Capable and Centered

    3 min read Last updated

    When Cp and Cpk both exceed 1.33 and are close together, the process is in the desired state. Focus shifts to maintaining capability.

    The engineering question this page answers

    The process is capable and centered — how do I lock the gains, detect early erosion, and safely reduce inspection cost without losing the customer signal?

    Decision logic

    Confirm Cpk ≥ 1.33 AND Cp − Cpk ≤ 0.10 sustained across ≥ 25 subgroups ↓ Confirm Ppk tracks Cpk — no hidden long-term drift ↓ Lock setup parameters, tooling, and fixturing revisions in Control Plan ↓ Baseline SPC limits from the capable window — do not recompute from the old data ↓ Design a drift-detection rule (Western Electric, EWMA, or CUSUM as appropriate) ↓ Evaluate sampling reduction only against customer CSR and Key Characteristic status ↓ Schedule the next confirmation study aligned to tool life or PM interval

    Engineering procedure

    1. Freeze the process recipe: parameters, tools, fixtures, program version.
    2. Re-baseline SPC control limits from the capable window; retire the pre-improvement limits.
    3. Choose a drift-sensitive rule (EWMA or CUSUM) for slow-moving characteristics.
    4. Formalize the reaction plan against the new limits, including escalation triggers.
    5. Model the impact of reduced sampling — do not simply halve frequency.
    6. Get customer agreement for any sampling change on Key Characteristics.
    7. Update Control Plan, PFMEA detection rating, and inspection standards.
    8. Schedule the next capability confirmation at the next major PM or tool-life boundary.

    Typical failure modes

    • Control limits inherited from a wider, older process — alarms lose meaning.
    • Sampling frequency halved without a formal risk assessment.
    • Preventive maintenance interval extended informally after "good results".
    • Operator complacency; reaction plan no longer executed when limits are crossed.
    • Silent parameter drift after a program edit "cleanup".

    Engineering insight

    • Capable-and-centered is a fragile state, not a permanent one. The first sign of erosion is usually a slow drift in the mean, not a spread increase.
    • Reducing sampling too aggressively removes the very signal you need to detect erosion — the "reward" undoes the gain.
    • EWMA and CUSUM detect small persistent shifts far earlier than Shewhart rules. Use them once the process is stable.
    • Do not carry the pre-improvement control limits forward. They no longer describe the process and will trigger nuisance alarms.

    When NOT to use this metric

    • Do not extrapolate the capable state to sister lines or sister machines without their own confirmation study.
    • Do not treat capability as permission to skip layered process audits.
    • Do not report the capable Cpk from initial PPAP as ongoing production evidence — refresh it.

    Relationship to other capability metrics

    • Cpk vs Ppk: Convergence confirms long-term stability; divergence over months is the early warning.
    • Cpk vs Cpm: On target-critical features (fits, balance, alignment), Cpm should also be tracked.
    • Cpk vs SPC: Capability is the summary; SPC is the live signal that protects it.

    Engineering notes

    • Never widen control limits to reduce reaction-plan noise; find the drift cause instead.
    • Never rely solely on capability indices — pair them with a live SPC rule.
    • Never reduce sampling on a customer Key Characteristic without written customer agreement.

    Continue the investigation

    Maintain the state through periodic Process Capability Studies and confirm alignment with customer requirements such as Automotive Cpk Requirements. Any change that could erode capability should route through the Process FMEA before the Control Plan is edited.

    Verification checklist

    • Cpk ≥ 1.33 and Cp − Cpk ≤ 0.10 sustained across ≥ 25 subgroups
    • SPC limits re-baselined from the capable window
    • Drift-sensitive rule (EWMA or CUSUM) in place
    • Recipe frozen and Control Plan updated
    • Customer agreement obtained for any sampling change
    • Next confirmation study scheduled at tool life / PM boundary

    Assumptions and applicability

    • Process condition: statistical stability is required.
    • Distribution assumption: use a distribution model justified for the data.
    • Confirm process stability and measurement-system adequacy before interpreting a capability index.
    • Use a justified distribution model or non-normal method when the normal model is unsuitable.

    Sources and engineering references

    External engineering references used for this page. Qhubio applies these references to the practical guidance above.

    Frequently asked questions