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# Model tp116r # Source version 2 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 var x_1 >= 0.1, <= 1; let x_1 := 0.5; var x_2 >= 0.1, <= 1; let x_2 := 0.8; var x_3 >= 0.1, <= 1; let x_3 := 0.9; var x_4 >= 0.0001, <= 0.1; let x_4 := 0.1; var x_5 >= 0.1, <= 0.9; let x_5 := 0.14; var x_6 >= 0.1, <= 0.9; let x_6 := 0.5; var x_7 >= 0.1, <= 1000; let x_7 := 489; var x_8 >= 0.1, <= 1000; let x_8 := 80; var x_9 >= 500, <= 1000; let x_9 := 650; var x_10 >= 0.1, <= 500; let x_10 := 450; var x_11 >= 1, <= 150; let x_11 := 150; var x_12 >= 0.0001, <= 150; let x_12 := 150; var x_13 >= 0.0001, <= 150; let x_13 := 150; var mf = x_11 + x_12 + x_13; var c_1 = x_3 - x_2 - .04; var c_2 = x_2 - x_1; var c_3 = 1 - .002*x_7 + .002*x_8; var c_4 = mf - 50; var c_5 = 250 - mf; var c_6 = x_13 - 1.262626*x_10 + 1.231059*x_3*x_10; var c_7 = x_5 - .03475*x_2 - .975*x_2*x_5 + .00975*x_2^2; var c_8 = x_6 - .03475*x_3 - .975*x_3*x_6 + .00975*x_3^2; var c_9 = x_5*x_7 - x_1*x_8 - x_4*x_7 + x_4*x_8; var c_10 = 1 - .002*(x_2*x_9 + x_5*x_8 - x_1*x_8 - x_6*x_9) - x_5 - x_6; var c_11 = x_2*x_9 - x_3*x_10 - x_6*x_9 - 500*x_2 + 500*x_6 + x_2*x_10; var c_12 = x_2 - .9 - .002*(x_2*x_10 - x_3*x_10); var c_13 = x_4 - .03475*x_1 - .975*x_1*x_4 + .00975*x_1^2; var c_14 = x_11 - 1.262626*x_8 + 1.231059*x_1*x_8; var c_15 = x_12 - 1.262626*x_9 + 1.231059*x_2*x_9; var myminfun = mf; var myabsdevnod0_0 = abs(myminfun - 97.58750955807048); var myreldevnod0_0 = abs(myminfun/97.58750955807048 - 1); var myabsdevnod0_1 = abs(x_1 - 0.8037731573766545); var myreldevnod0_1 = abs(x_1/0.8037731573766545 - 1); var myabsdevnod0_2 = abs(x_2 - 0.8999858006730378); var myreldevnod0_2 = abs(x_2/0.8999858006730378 - 1); var myabsdevnod0_3 = abs(x_3 - 0.9709824354837897); var myreldevnod0_3 = abs(x_3/0.9709824354837897 - 1); var myabsdevnod0_4 = abs(x_4 - 0.1); var myreldevnod0_4 = abs(x_4/0.1 - 1); var myabsdevnod0_5 = abs(x_5 - 0.1908131762155071); var myreldevnod0_5 = abs(x_5/0.1908131762155071 - 1); var myabsdevnod0_6 = abs(x_6 - 0.4606547828520911); var myreldevnod0_6 = abs(x_6/0.4606547828520911 - 1); var myabsdevnod0_7 = abs(x_7 - 574.0775735827624); var myreldevnod0_7 = abs(x_7/574.0775735827624 - 1); var myabsdevnod0_8 = abs(x_8 - 74.07757358276241); var myreldevnod0_8 = abs(x_8/74.07757358276241 - 1); var myabsdevnod0_9 = abs(x_9 - 500.0161601689685); var myreldevnod0_9 = abs(x_9/500.0161601689685 - 1); var myabsdevnod0_10 = abs(x_10 - 0.1); var myreldevnod0_10 = abs(x_10/0.1 - 1); var myabsdevnod0_11 = abs(x_11 - 20.23309069736758); var myreldevnod0_11 = abs(x_11/20.23309069736758 - 1); var myabsdevnod0_12 = abs(x_12 - 77.34768992730733); var myreldevnod0_12 = abs(x_12/77.34768992730733 - 1); var myabsdevnod0_13 = abs(x_13 - 0.006728933395576131); var myreldevnod0_13 = abs(x_13/0.006728933395576131 - 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 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)); var myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)); var myabsdevnod1_12 = (1/2)*(abs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13)); var myreldevnod1_12 = (1/2)*(abs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13)); 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 myabsdevnod2_12 = myabsdevnod1_12; var myreldevnod2_12 = myreldevnod1_12; 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 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)); var myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)); 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; subject to ci_9: c_9 >= 0; subject to ci_10: c_10 >= 0; subject to ci_11: c_11 >= 0; subject to ci_12: c_12 >= 0; subject to ci_13: c_13 >= 0; subject to ci_14: c_14 >= 0; subject to ci_15: c_15 >= 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 x_11; display x_12; display x_13; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model