How to control Objective function

GAMS
1

Dear GAMS friend,

Say,
set k product type /K1*K3/;


parameter M(k) amount of unsatisfied demand /K1 500
K2 600
K3 800/;



Objective function (to minimize unsatisfied demand), Z=M(k)

Now If we want to Minimize, Z=M(k), and want to run the model and see the results separately for every type of products, How can it be controlled on GAMS?





Regards,
Syed

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2

Just to clarify more,


we just consider an example, say disruptions cost is expressed as , sum(j, F(j)*X(j)+sum((i,j), h(i)*d(i,j)*Y(i,j,s)
Now, we want to minimize the maximum Budget (Given U) for disruptions management ,

Minimize Z=U
subject to,
eq(s)…sum(j, F(j)*X(j)+sum((i,j), h(i)*d(i,j)*Y(i,j,s)=l=U, It is treated as hard constraints in optimization modeling.

In usual practice we minimize, Z=sum(j, F(j)*X(j)+sum((i,j), h(i)*d(i,j)*Y(i,j,s). If now we have several disruptions scenario and the budget for each scenario Us is given , we can express Minimize, Z=U(s), is that right?

Regards,
Syed

On Tuesday, November 5, 2013 11:50:45 PM UTC+9, Syed Ali wrote:

Dear GAMS friend,

Say,
set k product type /K1*K3/;


parameter M(k) amount of unsatisfied demand /K1 500
K2 600
K3 800/;



Objective function (to minimize unsatisfied demand), Z=M(k)

Now If we want to Minimize, Z=M(k), and want to run the model and see the results separately for every type of products, How can it be controlled on GAMS?





Regards,
Syed

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3

Hi
You can use a dynamic set as follow:
set k /k1,k2,k3/
k2(k)
;
Equatiom obj;
obj(k2)… z=e=m(k2);

K2(k)=no;
loop(k,
K2(k)=yes;
Solve_statement…;
Result(k)=z.l;
K2(k)=no;
);

display Result;
On Nov 5, 2013 7:03 PM, “Syed Ali” wrote:

Dear GAMS friend,

Say,
set k product type /K1*K3/;


parameter M(k) amount of unsatisfied demand /K1 500
K2 600
K3 800/;



Objective function (to minimize unsatisfied demand), Z=M(k)

Now If we want to Minimize, Z=M(k), and want to run the model and see the results separately for every type of products, How can it be controlled on GAMS?





Regards,
Syed

–
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4

Thanks dear.


On Fri, Nov 8, 2013 at 3:58 AM, A.R. Bahari wrote:

Hi
You can use a dynamic set as follow:
set k /k1,k2,k3/
k2(k)
;
Equatiom obj;
obj(k2)… z=e=m(k2);

K2(k)=no;
loop(k,
K2(k)=yes;
Solve_statement…;
Result(k)=z.l;
K2(k)=no;
);

display Result;
On Nov 5, 2013 7:03 PM, “Syed Ali” wrote:

Dear GAMS friend,

Say,
set k product type /K1*K3/;


parameter M(k) amount of unsatisfied demand /K1 500
K2 600
K3 800/;



Objective function (to minimize unsatisfied demand), Z=M(k)

Now If we want to Minimize, Z=M(k), and want to run the model and see the results separately for every type of products, How can it be controlled on GAMS?





Regards,
Syed

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Have fine.
Warm Regards,
Syed Mithun Ali, Assistant Professor, Department of Industrial and Production Engineering, Bangladesh University of Engineering and Technology. Dhaka-1000, Bangladesh.
Mobile no: +8801916034096/+8801718370993
Alternative email: mithun@ipe.buet.ac.bd
http://www.buet.ac.bd/ipe/faculty1.html


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