A data-driven approach for mixed-case palletization with support

Multibox Three-Dimensional Packing Problems for Heterogeneous Extrudable Items

“…For j � 0 to total number of items in the current order (traversing items in order o) (5) Update load point information set A (6) For a � 1 to |A| (traversing the set of loading points) (7) For b � 1 to 6 (traversing the set of boxing directions) (8) If the current item can be loaded in the current direction (9) Ten load current item (10) Break (11) Else (12) b++; (13) End If (14) End For (15) If the current item has been loaded into ( 16) Break ( 17) Else (18) a++; (19) End If (20) End For (21) If the current item has been loaded into (22) j++; (23) Else (24) Discard the current package and select a package with a slightly larger volume than the current package to start packing again. (25) End If (26) End For (27) n++; (28) End For Step 3: output individual order packing solutions.…”

“…(2) Items in diferent orders cannot be mixed in the same package (3) Disregarding the item's own weight and the loadbearing capacity of the package (4) Do not consider whether the item itself has requirements for loading direction (5) Te rule for determining the length, width, and height of the article and the package is length ≥ width ≥ height (6) Assume that each article has at least one package that can ft the article (7) No consideration is given to the support problem that exists when the articles are packed (8) Assume that the items are all rectangular with uniform density, the extrusion is for a certain face of the item, the force is uniform, and the extrusion rate cannot exceed 10%, otherwise it will have an impact on the value of the item, and it is considered that the boxing scheme is not feasible 2.2. Judging Criteria.…”

“…(5) and ( 6) indicate the volume after the items are not crushed and are crushed, respectively; (7) indicates the volume of all the items in an order. Te total volume of all the items in an order is less than the volume of the packaging; that is, all the items can be packed into the packaging; (8) indicates that the extrusion rate of the items is calculated by the minimum value of the ratio between the length, width, and height after extrusion and before extrusion; (9) indicates that the order extrusion rate is equal to the average value of the extrusion rate of each item in each package; (10) indicates the overall extrusion rate of all orders.…”

“…Zhao et al [6] proposed an online analysis of packing stability with a novel stacking tree to optimize packing policies. De Carvalho et al [7] proposed a data-driven solution approach that can produce high-quality solutions in a short time.…”

Mixed Palletizing for Smart Warehouse Environments: Sustainability Review of Existing Methods

“…A key operation inside warehouses is picking goods and placing them onto pallets to be dispatched. Mixed palletizing is about the arrangement of heterogeneous packages on pallets while abiding by constraints [6].…”