Originally posted by: heidizh

I have a problem to express my objective using CPLEX, and I am not sure that if it could be expressed by CPLEX or  CP. Help me please!

I want to minimize the objective, Ui or Uj is the only decision variable. Others are all input numbers.

The two attachments have the same content with different extensive names.

 Please give me some help, I'll be very appreciated for that. 

Hi,

let me give you a small example:

using CP;

execute
{
 cp.param.timelimit=20;
}  


int n=5;
float p=0.5;
int d[i in 0..n][j in 0..n]=i+j;

dvar int u[1..n] in 1..10;

minimize
  sum(j in 1..n) p*d[0][j]*pow(1-p,u[j]-1)+
  sum(ordered i,j in 1..n) p*p*d[i][j]*pow(1-p,abs(u[i]-u[j])-1);
 
subject to
{
}

Alex Fleischer

Originally posted by: heidizh

Hi, Alex, Thank you very much. You have explained it very clearly to me. It's very useful. Thank you!

Best regards,

Heidi