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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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Lingo

Lingo函數講解

作業研究概論作業八 曹飛廣 10214358


Lingo

@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;


Lingo

@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)[email protected](x);   f(2)[email protected](x);   f(3)[email protected](x)[email protected](x);

  • [email protected](f(1),f(2),f(3));  

  • @bnd(0,x,1.57); 

  • end


Lingo

@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


Lingo

@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,[email protected]OPEN集合


@index

@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。


@index1

@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。


Lingo

以上即為講解內容

謝謝


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