Originally posted by: Rajasekhar Kadambur

Hi,

How to initialize decision variable using tuple? use of tuple is due to unstructured array in 1 dimensionality and decision variable is four dimensions.

Consider this example'

data file:

// A = [ <{3,2,2}>, <{2,4,3}>,<{2,2}>, <{2,4,3}>, <{1}>, <{3,3,3}>, <{2,4,4}>, <{2,2,2}>, <{4,3,4}> ];

Mod file:

int A_var = [[3,3,2],[3,1,3],[3,3,3] ];   // size of unstructured array

tuple 3D{ int a; int b; {int} c; }

{3D} Data = {<a,b,c>| a in 1..3, b in 1..3, c in A_var[a][b]};

dvar boolean X[d in Data][1..60];

I guess X declared is 4 dimension and i am not able to build constraints based on dvar X....

for example, X[1][1][1][1] != X[2][1][1][1] != X[3][1][1][1];

any one should be active not all the three but all three can be 0

similarly,       X[1][1][1][1] != X[1][2][1][1] != X[1][3][1][1];

                       X[1][1][1][1] != X[1][1][2][1] != X[1][1][3][1];

sum across first three dimensions should be <= 1;

Thanks in advance, your advice/ response is highly appreciated

PS: this constrains are not valid but to have a overview i included that.

Hi,

let me give you an example:

 tuple D3D{ int a; int b; int c; }
 
 

{D3D} Data = {<a,b,c>| a in 1..3, b in 1..3, c in 1..3};

dvar int X[Data][1..60];

subject to
{
X[<1,2,3>,5]==2;
}

regards

Originally posted by: Rajasekhar Kadambur

here c is unstructured array there the complete problem raise.

the typical example for size of c dimension is

A = [ <{3,2,2}>, <{2,4,3}>,<{2,2}>, <{2,4,3}>, <{1}>, <{}>, <{2,4,4}>, <{2,2,2}>, <{4,3}> ];

for a=1,b=1 => size of c = 3

a=1,b=2 => size of c = 3

a=1,b=3 =>size of  c = 2

a=2,b=1 => size of c = 3

a=2,b=2 => size of c = 1

a=2,b=3 => size of c = 0

a=3,b=1 => size of c = 3

a=3,b=2 => size of c = 3

a=3,b=3 => size of c = 2

My problem is how to sum fourth dimension to the values given in A for 27 combinations and among 60 none should be repeated for each "a =1" dimensiion1. and none is repeated for a==2 ||y for a==3;

4dimension element can be maximum allotted for 3 times only once for each a,b and c