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Defects per Million Opportunities (DPMO)

DPMO is the number of observed defects divided by the number of defined defect opportunities, multiplied by one million. When each unit has the same eligible opportunities: DPMO = defects / (units × opportunities per unit) × 1,000,000.

Expected output: An opportunity-based defect rate with a transparent denominator.

01 · Purpose

Why and when to use it

Use it when distinct defect opportunities are meaningful and defined consistently. It compares opportunity-based burden rather than simply the proportion of defective units.

Who takes part?

The measurement owner works with people who understand the process and the recorded data. Statistical or measurement-system decisions should involve someone able to check the assumptions and study design.

02 · Application

How to apply it

Start with an agreed measurement purpose, explicit units and trustworthy observations. Identify missing cases and assumptions before calculating.

  1. Define the unit and each eligible defect opportunity.
  2. Record units, opportunities and defects consistently.
  3. Use the actual total eligible opportunities if they vary by unit.
  4. Divide defects by opportunities and multiply by one million.
  5. Report the opportunity definition and distinguish defects from defective units.

03 · Example

A worked measurement example

Original fictional teaching example. Small datasets illustrate the method; they are not proposed as sufficient study sizes. Supplied parameters are assumptions, not estimates from a real process.

Illustrative input / resultValue
Units / opportunities per unit100 orders / 3 checks: part, quantity, label
Defects / total opportunities12 / 300
DPMO12 / 300 × 1,000,000 = 40,000

04 · Interpretation

What the result tells you

A 40,000 DPMO result is a 4% defect rate per defined opportunity. It is not necessarily 4% defective orders because an order may fail multiple checks.

Completion check: An opportunity-based defect rate with a transparent denominator.

05 · Judgement

Mistakes and limitations

Adding artificial opportunities makes DPMO look better. Comparisons require comparable opportunity definitions; do not automatically convert DPMO to a sigma level using an unstated shift convention.

07 · Reading

Sources and further reading

The tool list follows the accepted LeanTrainingLab overview and its reference to Six Sigma+Lean Toolset, second edition (Lunau, editor; Springer, 2013). The book chapters were not available for direct review during this build. Explanations, examples and worksheets are original teaching material. Further reading supplies professional background; local conventions are stated explicitly.