ampl/tp113.mod


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# Model tp113
# Source version 1
# Simple APM canonicalizer version 1.3
# AMPL back end version 1.1
var x_1;
let x_1 := 2;
var x_2;
let x_2 := 3;
var x_3;
let x_3 := 5;
var x_4;
let x_4 := 5;
var x_5;
let x_5 := 1;
var x_6;
let x_6 := 2;
var x_7;
let x_7 := 7;
var x_8;
let x_8 := 3;
var x_9;
let x_9 := 6;
var x_10;
let x_10 := 10;
var c_1 = 105 - 4*x_1 - 5*x_2 + 3*x_7 - 9*x_8;
var c_2 = (-1)*10*x_1 + 8*x_2 + 17*x_7 - 2*x_8;
var c_3 = 8*x_1 - 2*x_2 - 5*x_9 + 2*x_10 + 12;
var c_4 = (-3)*(x_1 - 2)^2 - 4*(x_2 - 3)^2 - 2*x_3^2 + 7*x_4 + 120;
var c_5 = (-5)*x_1^2 - 8*x_2 - (x_3 - 6)^2 + 2*x_4 + 40;
var c_6 = (-1/2)*(x_1 - 8)^2 - 2*(x_2 - 4)^2 - 3*x_5^2 + x_6 + 30;
var c_7 = (-1)*x_1^2 - 2*(x_2 - 2)^2 + 2*x_1*x_2 - 14*x_5 + 6*x_6;
var c_8 = 3*x_1 - 6*x_2 - 12*(x_9 - 8)^2 + 7*x_10;
var mf = x_1^2 + x_2^2 + x_1*x_2 - 14*x_1 - 16*x_2 + (x_3 - 10)^2 + 4*(x_4 - 5)^2 + (x_5 - 3)^2 + 2*(x_6 -
1)^2 + 5*x_7^2 + 7*(x_8 - 11)^2 + 2*(x_9 - 10)^2 + (x_10 - 7)^2 + 45;
var myminfun = mf;
var myabsdevnod0_0 = abs(myminfun - 24.30620906817981);
var myreldevnod0_0 = abs(myminfun/24.30620906817981 - 1);
var myabsdevnod0_1 = abs(x_1 - 2.171996371255455);
var myreldevnod0_1 = abs(x_1/2.171996371255455 - 1);
var myabsdevnod0_2 = abs(x_2 - 2.36368297369728);
var myreldevnod0_2 = abs(x_2/2.36368297369728 - 1);
var myabsdevnod0_3 = abs(x_3 - 8.77392573847685);
var myreldevnod0_3 = abs(x_3/8.77392573847685 - 1);
var myabsdevnod0_4 = abs(x_4 - 5.095984487948453);
var myreldevnod0_4 = abs(x_4/5.095984487948453 - 1);
var myabsdevnod0_5 = abs(x_5 - 0.9906547649638592);
var myreldevnod0_5 = abs(x_5/0.9906547649638592 - 1);
var myabsdevnod0_6 = abs(x_6 - 1.430573978936316);
var myreldevnod0_6 = abs(x_6/1.430573978936316 - 1);
var myabsdevnod0_7 = abs(x_7 - 1.321644208161703);
var myreldevnod0_7 = abs(x_7/1.321644208161703 - 1);
var myabsdevnod0_8 = abs(x_8 - 9.828725807886321);
var myreldevnod0_8 = abs(x_8/9.828725807886321 - 1);
var myabsdevnod0_9 = abs(x_9 - 8.280091670098346);
var myreldevnod0_9 = abs(x_9/8.280091670098346 - 1);
var myabsdevnod0_10 = abs(x_10 - 8.375926663921323);
var myreldevnod0_10 = abs(x_10/8.375926663921323 - 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 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5));
var myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5));
var myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7));
var myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7));
var myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9));
var myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9));
var myabsdevnod1_10 = myabsdevnod0_10;
var myreldevnod1_10 = myreldevnod0_10;
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 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6));
var myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6));
var myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10));
var myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10));
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 myabsdevnod3_8 = myabsdevnod2_8;
var myreldevnod3_8 = myreldevnod2_8;
var myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8));
var myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8));
var zmyabsdevmax = myabsdevnod4_0;
var zmyreldevmax = myreldevnod4_0;
minimize obj: myminfun;
subject to ci_1: c_1 >= 0;
subject to ci_2: c_2 >= 0;
subject to ci_3: c_3 >= 0;
subject to ci_4: c_4 >= 0;
subject to ci_5: c_5 >= 0;
subject to ci_6: c_6 >= 0;
subject to ci_7: c_7 >= 0;
subject to ci_8: c_8 >= 0;
solve;
display x_1;
display x_2;
display x_3;
display x_4;
display x_5;
display x_6;
display x_7;
display x_8;
display x_9;
display x_10;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model

Stephan K.H. Seidl