为各种n运行SCIMP

我有一个线性程序,我可以为n输入数字,它给我这个特定n的LP输出。我现在想为n=10…1000的各种情况做这个。有没有一种技术,我不必对每个n手动执行,而是自动执行,并在文件中输出每个n的LP解?我喜欢稍后绘制图表。

这是我的线性程序:

#Specify the number of n for the linear program.
param n := 5000;

#This is the set of probabilities of 
set N := {1 .. n};
#We specify the variables for the probabilities p_1,...p_n.
var p[<i> in N] real >= 0; 

#These are the values of the vector c. It specifies a constant for each p_i.
param c[<i> in N] := i/n ;

#We define the entries a_{ij} of the Matrix A.
defnumb a(i,j) := 
            if i < j then 0 
            else if i == j then i 
            else 1 end end;

#The objective function.
maximize prob: sum <i> in N : c[i] * p[i];

#The condition which needs to be fulfilled.
 subto condition:
    forall <i> in N:
      sum <j> in N: a(i,j) * p[j] <= 1;