Wood & Paper Manufacturing worked example

Paper Roll Defect Density at 61% target roll utilization: a worked example

This worked example runs the paper roll defect density numbers for a tougher week than the baseline: 61% target roll utilization instead of the typical 85%. Estimate paper roll defect density for wood and paper manufacturing using production-ready inputs so teams can see how heavily a resource is loaded against its target.

The inputs for this scenario

  • Defect-Free Roll Length Used: 360 value (held at the documented default)
  • Total Roll Length Available: 480 value (held at the documented default)
  • Target Roll Utilization: 61 % (the input this scenario stresses; the baseline uses 85)

Working through the calculation

  • The calculation starts from the formula this tool documents: Paper roll defect density utilization = used paper roll defect density amount รท available paper roll defect density amount.
  • Paper roll defect density utilization works out to 75 % at these inputs, and this is the headline figure for the scenario.
  • Paper roll defect density utilization gap works out to -14 points at these inputs.
  • Used paper roll defect density amount works out to 360 value at these inputs.
  • Available paper roll defect density amount works out to 480 value at these inputs.

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. A result at this level usually justifies acting on the stressed input before touching anything else, because every other figure in the table is downstream of it.

Results at a glance

  • Paper roll defect density utilization: 75 % (headline result)
  • Paper roll defect density utilization gap: -14 points
  • Used paper roll defect density amount: 360 value
  • Available paper roll defect density amount: 480 value

Run it with your numbers

  • To rerun this with your own numbers, open the live Paper Roll Defect Density calculator, set target roll utilization to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.