Linear cut (1D)

How we calculate it

What you enter

• Stock length (mm)
• Saw kerf (mm)
• Pieces: length×qty (mm)

Formula

1. Expand the list into individual pieces and sort them longest first.
2. Each piece goes into the first bar it fits in:
   used + (bar not empty → Saw kerf) + piece ≤ Stock length
3. When it fits in none of them, a new bar is opened.
actual waste = (Stock length × bars − Σ pieces) ÷ (Stock length × bars) × 100%

Example

The default values from the form, run through the same engine:

What to watch out for

The saw kerf is subtracted at every cut after the first one in a bar, not at the first. First-fit decreasing gives a good, but not always optimal, cutting plan.

The Materio app for Android uses the same formula. The site's engine is a 1:1 port of the app's code.