collect solutions to create a new parameter

GAMS
1

$Onempty
sets i index /i1*i100/
p(i) / /
d(i) / /;
scalars
k /0/;
parameters
val(i);
positive variables x;
variables obj;
equations
objective;
objective… obj=e=x+k;
model case /objective/;

repeat (
k=k+1;
d(i)=yes$(ord(i)=k);
p(i)=P(i)+d(i);
solve case using lp minimizing obj;

  • val(p)=obj.l;
    Until k=20
    );
    display val

Now I need to let val(‘p1’)=the first solution of obj, let val(‘p2’)=the second solution of obj, let val(‘p3’)=the third solution of obj, …, let val(‘p20’)=the 20th solution of obj

How should I do? the subset p(i) is dynamic

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2

$Onempty
sets v /1*1000/
p(v) / /
d(v) / /;
scalars
k /0/;
parameters
val(v);
positive variables x;
variables obj;

equations
objective;
objective… obj=e=x+k;
model case /all/;

repeat (
k=k+1;
d(v)=yes$(ord(v)=k);
p(v)=p(v)+d(v);
solve case using lp minimizing obj;

*the below incorrect equation is not what i want
val(p)=obj.l;

Until k=20
);
display val

Now I need to collect all of the solutions into one solution pool, create a new parameter and use the solution pool as the new parameter in the following calculation,
for example, I need to let the val(‘p1’)=the first solution of obj, let the val(‘p2’)=the second solution of obj, let the val(‘p3’)=the third solution of obj, …, let the val(‘p20’)=the 20th solution of obj,
Please note that p which depends on k, is a dynamic subset of v.

how should I program in Gams?

Sincerely

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