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Lingo 函數講解

Lingo 函數講解. 作業研究概論作業八 曹飛廣 10214358. @BND 函數. @BND （ lower_bound,variable,upper_bound ） 原廠手冊介紹： Limits variable to being greater-than-or-equal-to lower_bound and less-than-or-equal-to upper_bound . 作用：限制變量大於等於底界且小於等於上界 例： @BND （ 0 ， X ， 9 ）； 限制 0<=X<=9 ；. @BND() 案例.

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Lingo 函數講解

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  1. Lingo函數講解 作業研究概論作業八 曹飛廣 10214358

  2. @BND函數 • @BND（lower_bound,variable,upper_bound） • 原廠手冊介紹：Limits variable to being greater-than-or-equal-to lower_bound and less-than-or-equal-to upper_bound. • 作用：限制變量大於等於底界且小於等於上界 • 例：@BND（0，X，9）； • 限制0<=X<=9；

  3. @BND()案例 • 給定一個直角三角形，求包含該三角形的最小正方形 • model: •  sets:   •  object/1..3/: f;  • endsets data:   a, b = 3, 4;  • enddata   •  f(1) = a * @sin(x);   f(2) = b * @cos(x);   f(3) = a * @cos(x) + b * @sin(x); •    min = @smax(f(1),f(2),f(3));   • @bnd(0,x,1.57);  • end

  4. @IN函數 • @IN(set_name,primitive_1_index[,primitive_2_index…]); • 原廠手冊：This returns TRUE if the set member referenced by the primitive set member index tuple (primitive_1_index, primitive_2_index, ...) is contained in the set_name set. • 作用：當一組成員是從原始集合引用並包含在set_name集合時，此函數返回真值

  5. @IN()案例 • SETS: • PLANTS /SEATTLE, DENVER, CHICAGO,ANTLANTA/:; • CLOSED(PLANTS) /DENVER/:; • OPEN(PLANTS)| #NOT# @IN (CLOSED,&1):; • ENDSETS • 解釋：OPEN集合源於PLANTS集合，用包含@IN函數的獅子允許不屬於CLOSED的PLANTS定義為OPEN集合

  6. @INDEX函數 • @INDEX( set_name, set_member) ； • 原廠手冊：This returns the index of a set member set_member in the set set_name. If the specified set member does not belong to the set @INDEX will return 0. @INDEX allows you to refer to set member names directly. • 作用：此函數用於判斷set_member是否屬於set_name集合，屬於則給出其在集合的對應數值。

  7. @INDEX()案例 • SETS: • ROWS /R1..R27/; • COLS /C1..C3/; • RXC( ROWS, COLS): XRNG; • ENDSETS • ! return the index of (r1,c3) in the rxc set; • NDX = @INDEX( RXC, R1, C3); • 在這個例子中， (r1,c3) 在派生集合RXC，@INDEX將成員名稱轉換為對應數值賦給NDX。

  8. 以上即為講解內容 謝謝

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