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The Design of Ultimate Brownie Pan 2013美赛A题O奖+INFORMS奖得主论文原版

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ked structure must be used. Meanwhile, because of the constraint of the shape of rack, only rectangularpans can leave the least space at the edges of rack.So the number of pans will be: ([x]represents the largest integer which is less than x) ????????=2[ ????]. (Eq. 12) Now, we needto model the close package of rectangles to get the final arrangingpattern. Fig. 9Geometric Sketch Geometric constraints (the width and length ration W/L is not constant): ??.??. { ??=????,??=????, ???????? 2 ≥????????, 1≤????≤[ ????],1≤????≤[ ????]. (Eq. 13) This model may not be able to give a clos package. So, we will firstly make the pans closely attached to the certain three edges, and then splice the left space into (?????????????????)rectangles with different areas. Fig. 10An Arrangement of Rectangles

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