Does a denser layer simplify the receiving task?
A retail replenishment team wants to reserve pallet positions for a single-SKU delivery. A denser layer can reduce carrier count, but it can also change label orientation and the number of cases on the last pallet. The operational question is whether the alternate pattern helps this order after receiving work is considered. This is an original fictional arithmetic scenario, not a reported retailer project or a benchmark for stores. Its handling preferences and packaging values are hypothetical inputs.
The fictional order contains sixty-eight identical cases. Each outside case measures 600 by 400 by 250 mm and weighs 8 kg. The supplied pallet footprint is 1200 by 1000 mm, base height 144 mm, tare 28 kg, with 2 kg of extra materials per loaded pallet. The total height limit is 1200 mm. Zero additional gap and edge clearance are used for this comparison. No pallet rating or permitted carton stacking level is inferred from those dimensions.
Compare a uniform pattern with a mixed pattern
Scenario A uses Uniform in the configuration calculator. Two 600 mm lengths fit along the pallet, and two 400 mm widths fit across it, giving four cases per layer. Rotating every case gives only three, so the best uniform pattern contains four. Scenario B uses Mixed. Three rotated cases occupy a strip 600 mm deep; two straight cases occupy the remaining 400 mm strip. That construction holds five cases without overlap or overhang.
The five-case pattern fills the entire 1,200,000-square-millimetre footprint. Dividing that area by a case area of 240,000 gives an upper bound of five. Because a valid five-case arrangement reaches the bound, the local engine reports optimal. The four-case uniform result is a comparison restricted to uniform grids, not a competing claim that five is impossible. A drawing with zero allowances should stay labelled that way throughout review.
| Input or result | A: uniform | B: mixed |
|---|---|---|
| Cases per layer | 4 | 5 |
| Whole layers at 1200 mm | 4 | 4 |
| Full-pallet case capacity | 16 | 20 |
| Full loaded height | 1144 mm | 1144 mm |
| Full gross weight | 158 kg | 190 kg |
| Order distribution | 16 + 16 + 16 + 16 + 4 | 20 + 20 + 20 + 8 |
| Pallet count / shipment gross | 5 / 694 kg | 4 / 664 kg |
Reproduce the height and order arithmetic
Available height above the base is 1200 minus 144 = 1056 mm. Dividing by the 250 mm case height allows four whole layers. Both patterns stand 144 + 4 times 250 = 1144 mm. Scenario A therefore carries sixteen cases per complete pallet; B carries twenty. The remaining 56 mm is unused headroom and cannot hold another complete layer. Interlayer sheets and caps have not been included, so the physical height still needs reconciliation.
Open the uniform sixteen-case plan and the mixed twenty-case plan. Confirm the selected mode before copying the count. The same numeric dimensions can legitimately produce different results because the allowed pattern family changes.
At capacity sixteen, ceil(68 / 16) = 5 pallets, comprising four complete loads and four tail cases. At capacity twenty, ceil(68 / 20) = 4 pallets, comprising three complete loads and eight tail cases. B saves one floor position in this example but doubles the tail case count. That is a useful receiving distinction: fewer carriers do not imply a smaller last handling group.
Give the last pallet its own receiving record
One complete A pallet weighs 16 times 8 + 28 + 2 = 158 kg. Its four-case tail weighs 62 kg. Four times 158 plus 62 gives 694 kg total. B's complete pallet weighs 190 kg, and its eight-case tail weighs 94 kg. Three times 190 plus 94 gives 664 kg. The 30 kg difference is exactly the tare and extras of the carrier removed; both plans contain 544 kg of packed cases.
Reproduce B with the twenty-case capacity weight record. No weight limit is supplied in this exercise, so a computed gross mass is not a passed capacity check. Tail height is also unresolved. Eight cases require at least two layers if no more than five may be placed on a layer, but their approved pattern and measured envelope must be recorded separately.
Review orientation against the actual receiving process
Mixed orientation can place some labels on different faces from a uniform arrangement. The calculator does not know where case barcodes are printed or how a receiving team scans them. If every label must face one direction, the five-case geometric result might be unsuitable. Obtain that requirement from the receiving operation and examine the diagram case by case. Do not treat an attractive interlocked drawing as evidence of faster scanning or stronger stacking.
The article also assumes one SKU with identical case dimensions. A store order containing different products cannot be modeled by entering their average length and width. Separate unlike groups, and keep product-specific quantities in the local operational record. The public calculator link should contain only dimensions and weights needed to reproduce the exercise; store names, purchase-order references, and customer identifiers belong elsewhere.
Picking sequence matters too. If cases are removed from one edge during receiving, the remaining arrangement may differ from the fully loaded drawing. A two-dimensional full-layer plan says nothing about the stability of that intermediate condition. Review support, package strength, securing, and access with the responsible team. The model does not prescribe a retail handling method or a safe number of layers.
Make the decision sensitive to the right inputs
The zero-clearance five-case pattern has no spare area. If the process requests edge clearance, larger filled cartons, or gaps, rerun the configuration rather than shrinking the coordinates informally. A small allowance can remove a whole case. A requirement to keep uniform orientation can also change TI without changing the physical footprint. Those are discrete changes, so forecasting them as a small percentage efficiency loss can be misleading.
The provisional B result record is: sixty-eight cases; dimensions in millimetres; pallet 1200 by 1000 by 144; case 600 by 400 by 250; mixed horizontal orientations; zero gap and clearance; TI 5; optimal geometric status; height-only HI 4; capacity 20; three full pallets and an eight-case tail; 190 kg full gross; 94 kg tail gross; 664 kg shipment gross. Mark packaging, label access, tail arrangement, and equipment limits unresolved.
The planner can now compare one saved pallet position with the changed receiving pattern using real local information. The example makes no claim that B is cheaper or preferable in every retail operation. Once a physical pattern is accepted, save that version with the input record so future replenishment runs do not silently switch between uniform and mixed assumptions.