diff -r d59bea55db9b -r c445c931472f examples/cf12a.mod --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/examples/cf12a.mod Mon Dec 06 13:09:21 2010 +0100 @@ -0,0 +1,81 @@ +/* + + Curve fitting problem 12.11(a) H P Williams "Model Building in Mathematical Programming" + + Dr. H J Mackenzie + HARD software + hjm@hardsoftware.com + + 2006-01-05 + + */ + +# set of points + +set I; + +# independent variable + +param x {i in I}; + +# dependent variable + +param y {i in I}; + +# output input values + +printf {i in I} "x = %.1f; y = %.1f\n", x[i], y[i]; + +# define equation variables + +var a; + +var b; + +var u {i in I}, >= 0; + +var v {i in I}, >= 0; + +# define objective function + +minimize error: sum {i in I} u[i] + sum {i in I} v[i]; + +# define equation constraint + +s.t. equation {i in I} : b * x[i] + a + u[i] - v[i] = y[i]; + +solve; + +printf "y = %.4fx + %.4f\n", b, a; + +/* + * + * DATA section + * + */ + +data; + +param : I : x y := + 1 0 1 + 2 0.5 0.9 + 3 1 0.7 + 4 1.5 1.5 + 5 1.9 2 + 6 2.5 2.4 + 7 3 3.2 + 8 3.5 2 + 9 4 2.7 + 10 4.5 3.5 + 11 5 1 + 12 5.5 4 + 13 6 3.6 + 14 6.6 2.7 + 15 7 5.7 + 16 7.6 4.6 + 17 8.5 6 + 18 9 6.8 + 19 10 7.3 +; + +end;