NEED HELP on set of sets
NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
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RE: NEED HELP on set of sets
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
Info@modelworks.ch
blog.modelworks.ch
From: gamsworld@googlegroups.com [mailto:gamsworld@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gamsworld@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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Re: NEED HELP on set of sets
Hi Renger,
yes, you are right - my formula is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
w(i)*x(i,j) just tells if a mass of a palett w(i) is on a position j (x(i,j) is ja binary variable) and that equals an optimum mass of a pair of positions u plus the deviation of the mass of the uld i on the positions j of set u from the optimum mass of this pair of positions. Sorry, thats a little complex
Is it possible to sum over O(u,i) and i?
Thanks a lot
Jan
On Wednesday, October 29, 2014 8:05:47 AM UTC+1, wegner.jn wrote:
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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RE: NEED HELP on set of sets
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gamsworld@googlegroups.com [mailto:gamsworld@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gamsworld@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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Re: NEED HELP on set of sets
Ok, here you go:
Equations
MaxMPair(u,j) Max. mass of a pair of positions u
DifOptM(u,j) Difference of the mass of all pallets i on the positions j which belong to a pair of positions u from the optimum mass of the pair of positions u
;
MaxMPair(u,j) .. sum((O(u,j),i), w(i)*x(i,j) =l= p(u) ; (p(u) is the max. possible mass of a pair of positions u)
DifOptM(u,j) .. s(u) =e= sum((O(u,j),i), w(i)*x(i,j)) - o(u) ; (o(u) is the optimum mass of a pair of positions u)
Jan
On Wednesday, October 29, 2014 11:04:07 AM UTC+1, Renger van Nieuwkoop wrote:
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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RE: NEED HELP on set of sets
(Closing parenthesis still missing)
How about this: sum((i,j), w(i)*x(i,j)$o(u,j)) on the LHS, this sums x(i,j) such that j in O(u,j).
Cheers
Renger
From: gamsworld@googlegroups.com [mailto:gamsworld@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 11:18 AM
To: gamsworld@googlegroups.com
Subject: Re: NEED HELP on set of sets
Ok, here you go:
Equations
MaxMPair(u,j) Max. mass of a pair of positions u
DifOptM(u,j) Difference of the mass of all pallets i on the positions j which belong to a pair of positions u from the optimum mass of the pair of positions u
;
MaxMPair(u,j) .. sum((O(u,j),i), w(i)*x(i,j) =l= p(u) ; (p(u) is the max. possible mass of a pair of positions u)
DifOptM(u,j) .. s(u) =e= sum((O(u,j),i), w(i)*x(i,j)) - o(u) ; (o(u) is the optimum mass of a pair of positions u)
Jan
On Wednesday, October 29, 2014 11:04:07 AM UTC+1, Renger van Nieuwkoop wrote:
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
--
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Re: NEED HELP on set of sets
Oh yeah!! That's what I was looking for!! It's running now!! Thanks a lot for your help, Renger!!
On Wednesday, October 29, 2014 11:38:41 AM UTC+1, Renger van Nieuwkoop wrote:
(Closing parenthesis still missing)
How about this: sum((i,j), w(i)*x(i,j)$o(u,j)) on the LHS, this sums x(i,j) such that j in O(u,j).
Cheers
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 11:18 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Ok, here you go:
Equations
MaxMPair(u,j) Max. mass of a pair of positions u
DifOptM(u,j) Difference of the mass of all pallets i on the positions j which belong to a pair of positions u from the optimum mass of the pair of positions u
;
MaxMPair(u,j) .. sum((O(u,j),i), w(i)*x(i,j) =l= p(u) ; (p(u) is the max. possible mass of a pair of positions u)
DifOptM(u,j) .. s(u) =e= sum((O(u,j),i), w(i)*x(i,j)) - o(u) ; (o(u) is the optimum mass of a pair of positions u)
Jan
On Wednesday, October 29, 2014 11:04:07 AM UTC+1, Renger van Nieuwkoop wrote:
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
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Re: NEED HELP on set of sets
The time of happiness is over
The solution is working for 2 of 3 problems. Then GAMS returns the following statement for the new formula DifOptM(u) .. s(u) =e= sum((i,j), w(i)*x(i,j)$o(u,j)) :Implied bounds make row 'DifOptM(10)' infeasible.
Presolve time = 0.02 sec. (19.01 ticks)
...
MIP status (103): integer infeasible
Cplex Time: 0.02sec (det. 19.15 ticks)
CPLEX Error 1217: No solution exists.
Problem is integer infeasible.
Do you have an idea why it works but not for one problem?
Thanks a lot
Jan
On Wednesday, October 29, 2014 2:28:34 PM UTC+1, wegner.jn wrote:
Oh yeah!! That's what I was looking for!! It's running now!! Thanks a lot for your help, Renger!!
On Wednesday, October 29, 2014 11:38:41 AM UTC+1, Renger van Nieuwkoop wrote:
(Closing parenthesis still missing)
How about this: sum((i,j), w(i)*x(i,j)$o(u,j)) on the LHS, this sums x(i,j) such that j in O(u,j).
Cheers
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 11:18 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Ok, here you go:
Equations
MaxMPair(u,j) Max. mass of a pair of positions u
DifOptM(u,j) Difference of the mass of all pallets i on the positions j which belong to a pair of positions u from the optimum mass of the pair of positions u
;
MaxMPair(u,j) .. sum((O(u,j),i), w(i)*x(i,j) =l= p(u) ; (p(u) is the max. possible mass of a pair of positions u)
DifOptM(u,j) .. s(u) =e= sum((O(u,j),i), w(i)*x(i,j)) - o(u) ; (o(u) is the optimum mass of a pair of positions u)
Jan
On Wednesday, October 29, 2014 11:04:07 AM UTC+1, Renger van Nieuwkoop wrote:
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
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Re: NEED HELP on set of sets
Wegner, I tried what you suggested above but it did not work with me, may be I have growth factor in my equation and later i have to discount it. I will appreciate if u can also guide me....i checked fifty times, and had the calculations before and now i touched and changed somethiung but gives an error...thanksss
I have the followings
Sets
t years /1991*1997/
e set of all goods /good1, good2, good3, good4, good5/
f inputs /sugar,salt,spice/
alias (t,tt);
table u(e,f) unit cost per mwh
sugar salt spice
good1 0.206 0 0
good2 0.213 0 0
good3 0 0.220 0
good4 0 0 0.145
good5 0 0 0.180;
parameter p(e) annual percent increase in unit consumption
/ good1 0.01
good2 0.01
good3 0.02
good4 0.02
good5 0.02/;
table ip(f,t) input prices annual prices
1991 1992 1993 1994 1995 1996 1997
sugar 100 110 120 125 130 130 130
salt 200 210 220 230 240 240 250
spice 150 160 160 160 160 160 160;
scalars
r "interest rate" /0.10/;
parameter mc(e,t) marginal cost of units of goods plants ;
mc (e,t)= (u(e,f)*(1+p(e))*ip(f,t))**(9-ord(t)-1)/((1+r)**ord(t))
in the end it says uncontrolled set as a constant.
On Monday, November 3, 2014 12:10:04 PM UTC, wegner.jn wrote:
The time of happiness is over
The solution is working for 2 of 3 problems. Then GAMS returns the following statement for the new formula DifOptM(u) .. s(u) =e= sum((i,j), w(i)*x(i,j)$o(u,j)) :Implied bounds make row 'DifOptM(10)' infeasible.
Presolve time = 0.02 sec. (19.01 ticks)
...
MIP status (103): integer infeasible
Cplex Time: 0.02sec (det. 19.15 ticks)
CPLEX Error 1217: No solution exists.
Problem is integer infeasible.
Do you have an idea why it works but not for one problem?
Thanks a lot
Jan
On Wednesday, October 29, 2014 2:28:34 PM UTC+1, wegner.jn wrote:
Oh yeah!! That's what I was looking for!! It's running now!! Thanks a lot for your help, Renger!!
On Wednesday, October 29, 2014 11:38:41 AM UTC+1, Renger van Nieuwkoop wrote:
(Closing parenthesis still missing)
How about this: sum((i,j), w(i)*x(i,j)$o(u,j)) on the LHS, this sums x(i,j) such that j in O(u,j).
Cheers
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 11:18 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Ok, here you go:
Equations
MaxMPair(u,j) Max. mass of a pair of positions u
DifOptM(u,j) Difference of the mass of all pallets i on the positions j which belong to a pair of positions u from the optimum mass of the pair of positions u
;
MaxMPair(u,j) .. sum((O(u,j),i), w(i)*x(i,j) =l= p(u) ; (p(u) is the max. possible mass of a pair of positions u)
DifOptM(u,j) .. s(u) =e= sum((O(u,j),i), w(i)*x(i,j)) - o(u) ; (o(u) is the optimum mass of a pair of positions u)
Jan
On Wednesday, October 29, 2014 11:04:07 AM UTC+1, Renger van Nieuwkoop wrote:
It is still not clear to me what you want to express: Is this equation for every u and do you want to sum just the left part of the equation (there is a summing parenthesis missing).
You can’t sum over u,i, and j if you have o(u) and s(u) on the RHS. In that case you should sum over u on the RHS.
Can you write down the equation as you intend
For example:
Equation
pair(u);
Pair(u)..
Sum((O(u,j), w(i)*x(i,j)) =E= o(u) + s(u); ??
Renger
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 10:13 AM
To: gams...@googlegroups.com
Subject: Re: NEED HELP on set of sets
Hi Renger,
yes, you are right. My function is a little confusing. '=' means of course '=e=':
sum((O(u,j), i), w(i)*x(i,j) =e= o(u) + s(u)
What I want to do is:
I want to sum over u (of j) and i. w(i) ist the mass of a palet and x(i,j) just tells me if a palett i is on a position j. That equals the optimum mass of a pair of positions u (consisting of j's, which are single positions) plus the deviation of the mass of of the paletts on the positions j (which belong to a pair of positions u) from the optimum mass on the specific pair of positions.
Is it possible to sum over O(u,j) and i?
Thanks a lot for your help
Jan
On Wednesday, October 29, 2014 9:53:02 AM UTC+1, Renger van Nieuwkoop wrote:
Hi Jan
You have to define O(u,j) as set (mapping).
I don’t know what you are trying to do here: “sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)â€. Is this an equation with variables, what do you want to sum? Do you want to sum over the “=†sign?
Here is code that probably is not doing what you want it to do, but perhaps it helps you to implement what you want to do.
set
j /1,2,3,4,5/,
u(j) /1,2,3/,
O(u,j)
/ 1.(1,2)
2.(3,4)
3.5 /,
i /1,2/;
parameter w(i), x(i,j), op(u), s(u);
** Some dummy initialization:
w(i) = 1;
x(i,j) = 1;
op(u) = 1;
s(u) = 1;
parameter ps;
ps = sum((O(u,j), i), w(i)*x(i,j) - op(u) - s(u));
display ps;
Hopes this helps anyway.
Renger
____________________
Modelworks
Gewerbestrasse 15
3600 Thun – Switzerland
+41 79 818 53 73
In...@modelworks.ch
blog.modelworks.ch
From: gams...@googlegroups.com [mailto:gams...@googlegroups.com] On Behalf Of wegner.jn
Sent: Wednesday, October 29, 2014 8:06 AM
To: gams...@googlegroups.com
Subject: NEED HELP on set of sets
Hi,
I am new in the GAMS world and trying to solve the following problem. I tried a lot of things but nothing worked - so I hope you can help me!
I have a set j /1*39/ [j element of P]. Now I am introducing a new set u /1*27/ which consists of elements of set j . Therefore u is a subset of j:
u=1 consists of j=1 and j=2
u=2 consists of j=3 and j=4
...
u=27 consists od j=39
That was my last approach:
parameters:
O(u,j)
/ 1.(1,2)
2.(3,4)
...
27.39 /
Then there is a sum-function where I want to sum over u or more specifically the j's belonging to each u: sum((j Element P(u), i), w(i)*x(i,j) = o(u) + s(u)
So my approach was this one:
sum((O(u,j), i), w(i)*x(i,j) = o(u) + s(u)
It's not working - why? Please help me!!
Thanks a lot in advance!
Jan
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