mathematical-optimizationcplexampl

AMPL CPLEX: is not an indicator constraint message


I have this AMPL model

model;

param n >= 1 integer;

set V = 1..n;
set T = 1..n;
set R = {(i, j) in {V, V}: i <> j};

param capacity >= 0;

var m{V} binary;
var path{T, R} binary;
var u{T} binary;

minimize obj:
    sum{t in T} u[t]
;

subject to max_capacity{t in T}:
    u[t] = 1 ==>
        sum{(i, j) in R} m[j] * path[t, i, j] <= capacity
;

but when I try to solve it using cplex it returns this message:

CPLEX 20.1.0.0: logical constraint _slogcon[1] is not an indicator constraint.

What does this message mean? Is there a simple way to fix the problem?


Solution

  • In AMPL like in OPL you could use CP.

    using CP;
    
    int n=10;
    
    range V = 1..n;
    range T = 1..n;
    
    tuple t
    {
      int i;
      int j;
    }
    {t} R={<i,j> | i,j in V:i!=j};
    
    int capacity=4;
    
    dvar boolean m[V];
    dvar boolean path[T,R];
    dvar boolean u[T];
    
    minimize 
        sum(t in T) u[t]
    ;
    
    subject to 
    {
      forall(t in T)
    
        (u[t] == 1) =>
            (sum(<i,j>  in R) m[j] * path[t, <i, j>] <= capacity);
          }        
    ;
    

    works fine and relies on CPOptimizer

    If you prefer to use MIP you can rewrite your logical constraint with bigM

    int n=10;
    
    range V = 1..n;
    range T = 1..n;
    
    tuple t
    {
      int i;
      int j;
    }
    {t} R={<i,j> | i,j in V:i!=j};
    
    int capacity=4;
    
    float bigM=100;
    
    dvar boolean m[V];
    dvar boolean path[T,R];
    dvar boolean u[T];
    
    minimize 
        sum(t in T) u[t]
    ;
    
    subject to 
    {
      forall(t in T)
    
        //(u[t] == 1) =>
            (sum(<i,j>  in R) m[j] * path[t, <i, j>] <= capacity*u[t]+bigM*(1-u[t]));
          }        
    ;
    

    NB:

    I used OPL because I love OPL but you can do the same with AMPL