Nonlinear constraints are treated as black-box functions and are described by using the FCMP procedure. You should use the NLINCON= option to provide PROC OPTLSO with the corresponding FCMP function names and lower and upper bounds. Suppose a problem has the following nonlinear constraints:
The following statements pass this information to PROC OPTLSO by adding two corresponding functions to the FCMP function
library Sasuser.Myfuncs.Mypkg
:
proc fcmp outlib=sasuser.myfuncs.mypkg; function con1(x1, x2, x3); return (x1*x2*x3 + sin(x2)); endsub; function con2(x1, x2, x3); return (x1*x2 + x1*x3 + x3*x3); endsub; run;
Next, the following DATA step defines nonlinear constraint names and provides their corresponding bounds in the data set
condata
:
data condata; input _id_ $ _lb_ _ub_; datalines; con1 -1 1 con2 1 1 ;
Finally, you can call PROC OPTLSO and specify NLINCON=CONDATA. For another example with nonlinear constraints, see Using Nonlinear Constraints.