FA-94983 / Warehouse slotting and bin packing / Member archive

Carton selection: equal-volume tie ignores cost · case 03

Between two cartons of equal inner volume the more expensive one is chosen when its id sorts first.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Item dims [a,b,c], weight kg, sioc flag (ships in own container). cartons [[id, L, W, H, max_kg, cost]]. SIOC items return "SIOC". Otherwise add 1 unit of dunnage per side (2 per dimension); the item fits a carton if the sorted padded dims are each <= the sorted inner dims (any orientation) and kg <= max_kg. Choose the smallest inner volume, then cost, then id. None -> "NO_FIT".

Why this case matters

Cartonization picks the shipping box, which drives material cost and dimensional weight.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
volume tie by cost	`"A"`	`"B"`	Failed

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