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# Lingo 函數講解 PowerPoint PPT Presentation

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.

Lingo 函數講解

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## Lingo函數講解

### @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

• 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

### @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

### @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

### @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。

### @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。