作者ctchang34 ()
看板Math
標題Re: [其他] 貨櫃裝箱計算
時間Sun Mar 8 15:32:19 2015
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
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→ ctchang34 : Nb可以放置2層.NB=60+20=80 03/08 15:37