FA-95173 / Warehouse slotting and bin packing / Member archive

Nested bin fill: SKU limit off by one · case 03

A bin holding exactly the maximum number of SKUs is rejected.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
generated mix 47	`[70, false]`	`[70, true]`	Failed

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