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Excalidraw Data
Text Elements
Green order finished
Green order finished
One Order by itself (3 x 25-inch on 77-inch)
Two orders from a single cutting pattern (2 x 20-inch and 2 x 18-inch on 77-inch)
Two orders on two cutting patterns (1 x 25-inch and 1 x 51-inch, then 3 x 25-inch on 77-inch)
Three orders from two cutting patterns (2 x 25-inch and 1 x 26-inch, then 2 x 25-inch and 2 x 13-inch on 77-inch)
x = [0, 1, 0, 0] ⇒ use second pattern
y = [0, 0, 0, 0, 0, 1] ⇒ biggest stock size is used
a = [0, 0, 0, 0] [0, 0, 1, 0] ⇒ order 2 is appearing in element 3
u = [2, 2, 2, 2] [3, 2, 3, 2] …
the right element dominates the left one when the cost of changing to the smaller role size is lower than the cost produced by the trim on the left.
Generated by calculating the number of times an order size can be cut from the stock size.
- lineal feet, cost of paper, corrugator time, slitter changes
Generated by considering all combinations of two orders.
Generated by considering all combinations of three orders.
For types 2, 3 and 4 we also look for normal dominance. But we also consider dominance towards type 1. When it is cheaper to use multiple type 1 elements instead of one of the type 2, 3 or 4 elements then that dominates.
Patterns 3 and 4 do not split the orders as they run sequentially (using the one pattern change).
This only works when both orders finish in the 10% quantity range tolerance.