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# Model tp074 # Source version 1 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 param a := 0.55; param c3 := 3; param l_1 := 0; param l_2 := 0; param l_3 := -a; param l_4 := -a; param u_1 := 1200; param u_2 := 1200; param u_3 := a; param u_4 := a; var x_1 >= l_1, <= u_1; let x_1 := 0; var x_2 >= l_2, <= u_2; let x_2 := 0; var x_3 >= l_3, <= u_3; let x_3 := 0; var x_4 >= l_4, <= u_4; let x_4 := 0; var myminfun = 3*x_1 + 1.0e-6*x_1^3 + 2*x_2 + 2.0e-6*x_2^3/c3; var myabsdevnod0_0 = abs(myminfun - 5126.498109595273); var myreldevnod0_0 = abs(myminfun/5126.498109595273 - 1); var myabsdevnod0_1 = abs(x_1 - 679.9453198512117); var myreldevnod0_1 = abs(x_1/679.9453198512117 - 1); var myabsdevnod0_2 = abs(x_2 - 1026.067132610465); var myreldevnod0_2 = abs(x_2/1026.067132610465 - 1); var myabsdevnod0_3 = abs(x_3 - 0.1188763644931019); var myreldevnod0_3 = abs(x_3/0.1188763644931019 - 1); var myabsdevnod0_4 = abs(x_4 + 0.3962335532032103); var myreldevnod0_4 = abs(x_4/0.3962335532032103 + 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 ce_1: 1000*sin((-1)*x_3 - 0.25) + 1000*sin((-1)*x_4 - 0.25) + 894.8 - x_1 = 0; subject to ce_2: 1000*sin(x_3 - 0.25) + 1000*sin(x_3 - x_4 - 0.25) + 894.8 - x_2 = 0; subject to ce_3: 1000*sin(x_4 - 0.25) + 1000*sin(x_4 - x_3 - 0.25) + 1294.8 = 0; subject to ci_1: x_4 - x_3 + a >= 0; subject to ci_2: x_3 - x_4 + a >= 0; solve; display x_1; display x_2; display x_3; display x_4; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model