process window index

Process Window Index (PWI) is a quantitative metric that measures how centered the current operating point is within the process window — expressed as a percentage where 0% is at the center (maximum margin) and 100% is at the edge (on specification limits).

How PWI Is Calculated

  • Per Response: PWI_i = |(y_i - target_i) / (USL_i - target_i)| × 100% (for upper half).
  • Overall PWI: PWI = max_i(PWI_i) — the worst-case among all responses.
  • Interpretation: PWI < 50% = well centered. PWI < 100% = within spec. PWI > 100% = out of spec.
  • Composite: Composite PWI combines all responses into a single operating position metric.

Why It Matters

  • Process Centering: PWI immediately shows if the process is centered or drifting toward spec limits.
  • Monitoring: Track PWI over time to detect drift before reaching specification limits.
  • Comparison: Compare PWI across tools or chambers to identify which needs attention first.

PWI is the speedometer for process centering — a single number showing how far the operating point is from the safe center of the process window.

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