urgent help please

GAMS
1

Hi every body

I want to enter a model in GAMS and i need it for my thesis so I should solve it as soon as possible.

please check the pdf file I attached . I described my problem in it.

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gams model.pdf (111 KB)

2

hi Ms etemadi …
it is simple you must use ord(i) & ord (j) …
for example in your goal function summation … write : sum((i,j)$ (ord(j)>ord(i)) , c(i,j)*w(i,j)-z)
and in all of your orders you must use ord of your index …

good luck …

On Mon, Aug 17, 2015 at 2:47 PM, Maryam Etemadi wrote:

Hi every body

I want to enter a model in GAMS and i need it for my thesis so I should solve it as soon as possible.

please check the pdf file I attached . I described my problem in it.

–
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3

Hi
You must define the objective function so that Amin said, and the constraints as follows.

Con1(I,J)$(Ord(J)>Ord(I)) … W(i,j)=L=Y(I);

Con2(I,J)$(Ord(J)>Ord(I)) … W(i,j)=L=Y(J);

Con(I,J)$(Ord(J)>Ord(I)) … W(i,j)=L=Y(I) + Y(J) - 1;



On Mon, Aug 17, 2015 at 2:47 PM, Maryam Etemadi wrote:

Hi every body

I want to enter a model in GAMS and i need it for my thesis so I should solve it as soon as possible.

please check the pdf file I attached . I described my problem in it.

–
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4

$onsymxref
$onsymlist
$title Maryam Etemadi
sets
i row / 15/
j column /16/
k read /1*6/
;
Table c(i,j) distance between reads
1 2 3 4 5 6
1 0 5 6 3 3 4
2 0 0 5 4 3 3
3 0 0 0 4 5 6
4 0 0 0 0 6 6
5 0 0 0 0 0 5
;
Variables
w(i,j)
yi(i)
yj(j)
yk(k)
z
ObjectiveFunction
;
Binary Variables w,yi,yj,yk;
Positive Variable z;
w.lo(i,j)=0;
yi.lo(i)=0;
yj.lo(j)=0;
yk.lo(k)=0;
Equations
obj
c1_1(j)
c1_2(j)
c1_3(j)
c1_4(j)
c1_5(j)

c2_2(i)
c2_3(i)
c2_4(i)
c2_5(i)
c2_6(i)

c3_1(j)
c3_2(j)
c3_3(j)
c3_4(j)
c3_5(j)

c4
c5
;
obj … ObjectiveFunction =e= sum((i,j)$(ord(j) ge (ord(i)+1)),c(i,j)*w(i,j))-z ;

c1_1(j)(ord(j) gt 1).. (w('1',j)-yi('1')) =l= 0 ; c1_2(j)(ord(j) gt 2)… (w(‘2’,j)-yi(‘2’)) =l= 0 ;
c1_3(j)(ord(j) gt 3).. (w('3',j)-yi('3')) =l= 0 ; c1_4(j)(ord(j) gt 4)… (w(‘4’,j)-yi(‘4’)) =l= 0 ;
c1_5(j)$(ord(j) gt 5)… (w(‘5’,j)-yi(‘5’)) =l= 0 ;

c2_2(i)(ord(i) lt 2).. (w(i,'2')-yj('2')) =l= 0 ; c2_3(i)(ord(i) lt 3)… (w(i,‘3’)-yj(‘3’)) =l= 0 ;
c2_4(i)(ord(i) lt 4).. (w(i,'4')-yj('4')) =l= 0 ; c2_5(i)(ord(i) lt 5)… (w(i,‘5’)-yj(‘5’)) =l= 0 ;
c2_6(i)$(ord(i) lt 6)… (w(i,‘6’)-yj(‘6’)) =l= 0 ;

c3_1(j)(ord(j) gt 1).. (-w('1',j)+yi('1')+yj(j)) =l= 1 ; c3_2(j)(ord(j) gt 2)… (-w(‘2’,j)+yi(‘2’)+yj(j)) =l= 1 ;
c3_3(j)(ord(j) gt 3).. (-w('3',j)+yi('3')+yj(j)) =l= 1 ; c3_4(j)(ord(j) gt 4)… (-w(‘4’,j)+yi(‘4’)+yj(j)) =l= 1 ;
c3_5(j)$(ord(j) gt 5)… (-w(‘5’,j)+yi(‘5’)+yj(j)) =l= 1 ;

ontext ** or these equations. the answers are the same. c1_1(j).. (w('1',j)(ord(j) gt 1)-yi(‘1’)) =l= 0 ;
c1_2(j)… (w(‘2’,j)(ord(j) gt 2)-yi('2')) =l= 0 ; c1_3(j).. (w('3',j)(ord(j) gt 3)-yi(‘3’)) =l= 0 ;
c1_4(j)… (w(‘4’,j)(ord(j) gt 4)-yi('4')) =l= 0 ; c1_5(j).. (w('5',j)(ord(j) gt 5)-yi(‘5’)) =l= 0 ;

c2_2(i)… (w(i,‘2’)(ord(i) lt 2)-yj('2')) =l= 0 ; c2_3(i).. (w(i,'3')(ord(i) lt 3)-yj(‘3’)) =l= 0 ;
c2_4(i)… (w(i,‘4’)(ord(i) lt 4)-yj('4')) =l= 0 ; c2_5(i).. (w(i,'5')(ord(i) lt 5)-yj(‘5’)) =l= 0 ;
c2_6(i)… (w(i,‘6’)$(ord(i) lt 6)-yj(‘6’)) =l= 0 ;

c3_1(j)… (-w(‘1’,j)(ord(j) gt 1)+yi('1')+yj(j)(ord(j) gt 1)) =l= 1 ;
c3_2(j)… (-w(‘2’,j)(ord(j) gt 2)+yi('2')+yj(j)(ord(j) gt 2)) =l= 1 ;
c3_3(j)… (-w(‘3’,j)(ord(j) gt 3)+yi('3')+yj(j)(ord(j) gt 3)) =l= 1 ;
c3_4(j)… (-w(‘4’,j)(ord(j) gt 4)+yi('4')+yj(j)(ord(j) gt 4)) =l= 1 ;
c3_5(j)… (-w(‘5’,j)(ord(j) gt 5)+yi('5')+yj(j)(ord(j) gt 5)) =l= 1 ;
$offtext

c4… sum(k,yk(k))- sum(k,1-yk(k))-z =e= 0;
c5… sum(k,yk(k))- sum(k,1-yk(k))+z =e= 0;
Model cluster /all/;
Option MIP = Cplex;
Solve cluster using MIP maximizing ObjectiveFunction;
Display w.l,yi.l,yj.l,yk.l,z.l,ObjectiveFunction.l;

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5

Hi Maryam



Just do as you wrote in your pdf file:



Equations

obj

c1(i, j, k)

c2(i, j, k)

c3(i, j, k)

c4(j)

c5

c6

;



obj … ObjectiveFunction =e= sum((i,j,k),c(i,j)*w(i,j,k))-z ;



c1(i,j, k)… w(i, j,k) - yi(i, k) =l= 0;



c2(i, j, k)… w(i, j, k) - yj(j, k) =l= 0;



c3(i, j, k)… (-w(i, j, k)+yi(i, k)+yj(j,k)) =l= 1 ;



c4(j)… sum(k, yj(j,k)) =l= 1;



c5… sum(j, yj(j,‘1’)) - sum(j,yj(j,‘2’)) - z =e= 0;

c6… sum(j,yj(j,‘1’))- sum(j,yj(j,‘2’))+z =e= 0;



Hope this helps



Cheers



Renger



From: gamsworld@googlegroups.com [mailto:gamsworld@googlegroups.com] On Behalf Of Maryam Etemadi
Sent: Dienstag, 1. September 2015 20:59
To: gamsworld
Subject: urgent help please



Hello every one



I want to write a model in GAMS. I need it for my thesis. I would be grateful if some one help me. I attached the model in a pdf file.



Thanks a lot

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