ampl/tp043.mod


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# Model tp043
# Source version 1
# Simple APM canonicalizer version 1.3
# AMPL back end version 1.1
var x_1;
let x_1 := 0;
var x_2;
let x_2 := 0;
var x_3;
let x_3 := 0;
var x_4;
let x_4 := 0;
var myminfun = x_1^2 + x_2^2 + 2*x_3^2 + x_4^2 - 5*x_1 - 5*x_2 - 21*x_3 + 7*x_4;
var myabsdevnod0_0 = abs(myminfun + 44);
var myreldevnod0_0 = abs(myminfun/44 + 1);
var myabsdevnod0_1 = abs(x_1);
var myreldevnod0_1 = abs(x_1);
var myabsdevnod0_2 = abs(x_2 - 1);
var myreldevnod0_2 = abs(x_2 - 1);
var myabsdevnod0_3 = abs(x_3 - 2);
var myreldevnod0_3 = abs(x_3/2 - 1);
var myabsdevnod0_4 = abs(x_4 + 1);
var myreldevnod0_4 = abs(x_4 + 1);
var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1));
var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1));
var myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3));
var myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3));
var myabsdevnod1_4 = myabsdevnod0_4;
var myreldevnod1_4 = myreldevnod0_4;
var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2));
var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2));
var myabsdevnod2_4 = myabsdevnod1_4;
var myreldevnod2_4 = myreldevnod1_4;
var myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4));
var myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4));
var zmyabsdevmax = myabsdevnod3_0;
var zmyreldevmax = myreldevnod3_0;
minimize obj: myminfun;
subject to ci_1: 8 - x_1^2 - x_2^2 - x_3^2 - x_4^2 - x_1 + x_2 - x_3 + x_4 >= 0;
subject to ci_2: 10 - x_1^2 - 2*x_2^2 - x_3^2 - 2*x_4^2 + x_1 + x_4 >= 0;
subject to ci_3: 5 - 2*x_1^2 - x_2^2 - x_3^2 - 2*x_1 + x_2 + x_4 >= 0;
solve;
display x_1;
display x_2;
display x_3;
display x_4;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model

Stephan K.H. Seidl