FA-95159 / Warehouse slotting and bin packing / Member archive
Nested bin fill: empty lines consume volume · case 04
A zero-quantity order line adds negative or phantom volume and uses a SKU slot.
Case contract
lines [[sku, qty, unit_volume, nest_increment]]. Lines for the same SKU are merged. A nesting SKU (increment > 0) occupies unit_volume + (qty-1)*increment; others qty*unit_volume; qty 0 contributes nothing and is not counted. Bin fits when total <= bin_vol and distinct stocked SKUs <= max_skus. Return [total, fits].
Why this case matters
Nesting products such as cups and trays occupy far less space than unit cube suggests.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| generated mix 19 | [100, false] | [80, true] | Failed |
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