I'm new to AMPL and am trying to model the following constraints.
\begin{align}y_{ij3}&\le\sum_\ell X_{j\ell2}\quad(m=2,k=3)\\y_{ijk}&\le\sum_\ell\sum_mx_{j\ell m},\quad\forall i\in I,\forall j\in J,k=1,2.\end{align}
I'm not sure if I am on the right track. This is what I have so far:
subject to C1 {i in DEMAND, j in FACILITY}: Y[i,j,"CO"] <= sum{l in SIZE} X[j,l,"TRI"] ;
subject to C2_1 {i in DEMAND, j in FACILITY}: Y[i,j,"EL"] <= sum{l in SIZE,m in TECH} X[j,l,m] ;
subject to C2_2 {i in DEMAND, j in FACILITY}: Y[i,j,"TH"] <= sum{l in SIZE, m in TECH} X[j,l,m] ;
I modelled the second constraint in two parts. The relevant sets are as follows:
set ENERGY:= EL CO TH; #k
set TECH := COG TRI; #m