Methods for improving unit load efficiency
A method for increasing unit load efficiency may include providing a pallet, forming a stack on the pallet, and wrapping the stack with an elastically deformable substrate under an applied force to reduce one or more of an initial maximum stack length to a compressed maximum stack length or an initial maximum stack width to a compressed maximum stack width. Upon compression the compressed maximum stack length may be from about 1% to about 10% greater than the pallet length, and the compressed maximum stack width may be from about 1% to about 15% greater than the pallet width.
1 . A method for increasing unit load efficiency, the method comprising:
providing a unit load comprising a pallet and a stack disposed on the pallet,
the pallet having a pallet length along a pallet longitudinal axis and a pallet width along a pallet lateral axis,
the stack comprising a plurality of packages,
the stack having an initial maximum stack length along the pallet longitudinal axis and an initial maximum stack width along the pallet lateral axis, wherein the initial maximum stack length and the initial maximum stack width are measured; and
applying a force to the stack to reduce one or more of the initial maximum stack length to a compressed maximum stack length along the pallet longitudinal axis and the initial maximum stack width to a compressed maximum stack width along the pallet lateral axis, wherein the compressed maximum stack length and the compressed maximum stack width are measured,
wherein one or more of the compressed maximum stack length is from about 1% to about 10% greater than the pallet length and the compressed maximum stack width is from about 1% to about 15% greater than the pallet width.
2 . The method according to claim 1 , wherein the method further comprises wrapping the stack with an elastically deformable substrate.
3 . The method according to claim 1 , wherein the step of applying the force comprises wrapping the stack with an elastically deformable substrate.
4 . The method according to claim 1 , wherein the compressed maximum stack width is from about 2% to about 14% greater than the pallet width.
5 . The method according to claim 1 ,
wherein the pallet length is about 48 inches (121.92 cm),
wherein the pallet width is about 40 inches (101.6 cm),
wherein the compressed maximum stack length is less than or equal to about 49.5 inches (125.73 cm), and
wherein the compressed maximum stack width is less than or equal to about 43.5 inches (110.49 cm).
6 . The method according to claim 1 , wherein the stack comprises 10 to 60 packages.
7 . The method according to claim 1 , wherein forming the stack on the pallet comprises arranging the plurality of packages in a plurality of layers.
8 . The method according to claim 1 , wherein each of the plurality of packages has a package length along a package longitudinal axis and a package width along a package lateral axis, wherein the package length is greater than the package width.
9 . The method according to claim 8 , wherein the plurality of packages comprises at least a first package and a second package, and wherein forming the stack on the pallet comprises substantially aligning the package longitudinal axis of the first package with the pallet longitudinal axis and substantially aligning the package lateral axis of the second package with the pallet lateral axis.
10 . The method according to claim 2 , wherein the method is calibrated to allow one or more of the compressed maximum stack length and the compressed maximum stack width to return to within 95% to 100% of the initial maximum stack length and the initial maximum stack width, respectively, upon removal of the elastically deformable substrate.
11 . The method according to claim 2 , wherein the initial maximum stack length is reduced to the compressed maximum stack length and wherein the method is calibrated to allow the compressed maximum stack length to return to within 95% to 100% of the initial maximum stack length upon removal of the elastically deformable substrate.
12 . The method according to claim 2 , wherein the initial maximum stack width is reduced to the compressed maximum stack width and wherein the method is calibrated to allow the compressed maximum stack width to return to within 95% to 100% of the initial maximum stack width upon removal of the elastically deformable substrate.
13 . The method according to claim 2 , wherein each of the plurality of packages comprises a plurality of rolled paper products having a compressibility in a range from about 13% to about 15%, and wherein the compressibility of the rolled paper products is measured.
14 . The method according to claim 13 , wherein the plurality of packages comprise at least a first package and a second package, and wherein forming the stack on the pallet comprises offsetting the plurality of rolled paper products of the first package relative to the plurality of rolled paper products of the second package to form at least one offset zone.
15 . The method according to claim 13 , wherein wrapping the stack with the elastically deformable substrate under the force does not compress any of the plurality of rolled paper products beyond a point at which the rolled paper products are permanently crushed.
16 . The method according to claim 3 , wherein the stack comprises:
outer surfaces along top and bottom ends of the stack, wherein the top and bottom ends of the stack are spaced apart along a longitudinal axis of the stack;
outer surfaces along left and right sides of the stack, wherein the left and right sides of the stack are spaced apart along the pallet lateral axis;
wherein the wrapping step comprises forming, with the elastically deformable substrate, an arc along one or more of:
the outer surfaces along the top and bottom ends of the stack, based on a compressed stack length having a greater value between the left and right sides of the stack than at the left and right sides of the stack; and
the outer surfaces along the left and right sides of the stack, based on a compressed stack width having a greater value between the top and bottom ends of the stack than at the top and bottom ends of the stack.
17 . The method according to claim 16 , wherein one or more of:
the arc is formed along the outer surfaces along the top and bottom ends of the stack based on the compressed stack length having the greater value at a midpoint between the left and right sides of the stack; and
the arc is formed along the outer surfaces along the left and right sides of the stack based on the compressed stack width having the greater value at a midpoint between the top and bottom ends of the stack.
18 . The method according to claim 16 , wherein the arc is formed along the outer surfaces along the top and bottom ends of the stack based on the compressed stack length having a maximum value in a range from about 43 inches to about 51 inches between the left and right sides of the stack and a minimum value in a range from about 40 inches to about 50 inches between the left and right sides of the stack.
19 . The method according to claim 18 , wherein the arc is formed along the outer surfaces along the left and right sides of the stack based on the compressed stack width having a maximum value in a range from about 38 inches to about 46 inches between the top and bottom ends of the stack and a minimum value in a range from about 34 inches to about 44 inches between the top and bottom ends of the stack.
20 . The method according to claim 3 , wherein the wrapping step further comprises wrapping the stack and the pallet with the elastically deformable substrate such that the elastically deformable substrate engages a portion of a height of the pallet, wherein the height of the pallet is defined between a bottom surface of the pallet and a top surface of the pallet on which the stack is disposed and wherein the portion of the height extends from the top surface of the pallet.