Wood & Paper Manufacturing worked example

Paper Roll Defect Density at 98% target roll utilization: a worked example

This scenario runs the paper roll defect density calculation on the strong side: 98% target roll utilization, with every other input held at its documented default. Use it when paper roll defect density in wood and paper manufacturing is being reviewed for asset utilization in wood and paper manufacturing.

The inputs for this scenario

  • Defect-Free Roll Length Used: 360 value (unchanged)
  • Total Roll Length Available: 480 value (unchanged)
  • Target Roll Utilization: 98 % (raised for this scenario; the documented default is 85)

Working through the calculation

  • Applying the documented formula (Paper roll defect density utilization = used paper roll defect density amount รท available paper roll defect density amount) to the inputs above produces each figure below.
  • At this operating point the engine returns 75 % for paper roll defect density utilization, the number this scenario is built around.
  • At this operating point the engine returns 23 points for paper roll defect density utilization gap.
  • At this operating point the engine returns 360 value for used paper roll defect density amount.
  • At this operating point the engine returns 480 value for available paper roll defect density amount.

How this compares with the baseline

  • Against the tool's baseline example, where target roll utilization sits at 85% and the headline result is 75 %, this scenario lands almost exactly on the baseline at 75 %.
  • Use it during roll grading, incoming inspection, or converting yield reviews to decide if a roll meets your usable-material threshold. Treat this as a target state: the delta against the baseline quantifies what the improvement is worth before you commit to chasing it.

Results at a glance

  • Paper roll defect density utilization: 75 % (headline result)
  • Paper roll defect density utilization gap: 23 points
  • Used paper roll defect density amount: 360 value
  • Available paper roll defect density amount: 480 value

Run it with your numbers

  • Every input above is editable in the live Paper Roll Defect Density calculator, which recalculates instantly and can be shared with the inputs intact.

Last reviewed 2026-05-12.