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1.一個45’HQ貨櫃,有A商品90個,試問最多能放入多少B商品? [ ] = 高斯函數 = 最少整數 檢驗高度1 = 76*2層(A商品) + 58.5*2層(B商品) = 152 + 117 = 269 < 269.8 = O.K. 檢驗高度2 = 76*3層(A商品) = 228 < 269.8 = O.K. 檢驗高度3 = 76*1層(A商品) + 58.5*3層(B商品) = 76 + 175.5 = 251.5 < 269.8 = O.K. Na = A商品90個 = [1355.6/70] * [235.2/105] = [19.4] * [2.24] = 19 * 2 = 38(個/層) * 2層(第3第4層) + 14個A商品*1層(第1層) = 76 + 14 = 90 Nb = 14個A商品剩餘面積放置B商品 = [(1355.6 - 14*70)/65.5] * [105/67.5] = [375.6/65.5] * [1.56] = [5.7] * [1.56] = 5*1 = 5 (個) Nbb = 第1.2層放置B商品 = 2*{[1355.6/65.5] * [(235.6-105)/67.5]} = 2*{[20.7] * [130.6/67.5]} = 2*{20 * [1.9]} = 2*{20 * 1} = 40 NB = Nb + Nbb = 5 + 40 = 45 = ans1 2.一個45’HQ貨櫃,有A商品82個,試問最多能放入多少B商品? Na = A商品82個 = 76 (第3.4層) + 4 (第1層) Nb = [(1355.6 - 70*4)/65.5]*[105/67.5] = [1075.6/65.5] * [1.56] = [16.4] * 1 = 16 Nbb = 放置第1.2層 = {[1355.6/65.5] * [(235.6 - 105)/67.5]}*2 = {[20.7] * [1.92]}*2 = (20 * 1)*2 = 40 NB = Nb + Nbb = 16 + 40 = 56 = ans2 3.一個45’HQ貨櫃,有A商品48個,試問最多能放入多少B商品? Na = 38(第4層) + 10 (第1層) Nb = [(1355.6 - 70*10)/65.5]*[105/67.5] = [655.6/65.5] * [1.56] = [10.009] * 1 = 10 Nbb = 放置第1.2.3層 = 3*{[1355.6/65.5] * [(235.2 - 105)/67.5]} = 3*{[20.7] * [130.2/67.5]} = 3*{20 * [1.9]} = 3*20*1 = 60 NB = Nb + Nbb = 10 + 60 = 70 = ans3 -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 114.44.217.75 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1425799942.A.C16.html
ctchang34 : Nb可以放置2層.NB=60+20=80 03/08 15:37