# MINLP written by GAMS Convert at 02/17/22 17:18:21 # # Equation counts # Total E G L N X C B # 205 12 192 1 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 76 40 36 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 448 240 208 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(1,5), initialize=1) m.x2 = Var(within=Reals, bounds=(1,5), initialize=1) m.x3 = Var(within=Reals, bounds=(1,5), initialize=1) m.x4 = Var(within=Reals, bounds=(1,5), initialize=1) m.x5 = Var(within=Reals, bounds=(1,5), initialize=1) m.x6 = Var(within=Reals, bounds=(1,5), initialize=1) m.x7 = Var(within=Reals, bounds=(1,5), initialize=1) m.x8 = Var(within=Reals, bounds=(1,5), initialize=1) m.x9 = Var(within=Reals, bounds=(1,5), initialize=1) m.x10 = Var(within=Reals, bounds=(1,5), initialize=1) m.x11 = Var(within=Reals, bounds=(1,5), initialize=1) m.x12 = Var(within=Reals, bounds=(1,5), initialize=1) m.x13 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x14 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x15 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x16 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x17 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x18 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x19 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x20 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x21 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x22 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x23 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x24 = Var(within=Reals, bounds=(300,3000), initialize=300) m.x25 = Var(within=Reals, bounds=(134.183333333333,379.746835443038) , initialize=134.183333333333) m.x26 = Var(within=Reals, bounds=(67.32,882.352941176471), initialize=67.32) m.x27 = Var(within=Reals, bounds=(126.933333333333,652.173913043478) , initialize=126.933333333333) m.x28 = Var(within=Reals, bounds=(33.0166666666667,638.297872340426) , initialize=33.0166666666667) m.x29 = Var(within=Reals, bounds=(68.97,666.666666666667), initialize=68.97) m.x30 = Var(within=Reals, bounds=(37.5416666666667,441.176470588235) , initialize=37.5416666666667) m.x31 = Var(within=Reals, bounds=(42.24,576.923076923077), initialize=42.24) m.x32 = Var(within=Reals, bounds=(20.7833333333333,1363.63636363636) , initialize=20.7833333333333) m.x33 = Var(within=Reals, bounds=(1.66,8.3), initialize=1.66) m.x34 = Var(within=Reals, bounds=(1.36,6.8), initialize=1.36) m.x35 = Var(within=Reals, bounds=(2.38,11.9), initialize=2.38) m.x36 = Var(within=Reals, bounds=(0.7,3.5), initialize=0.7) m.x37 = Var(within=Reals, bounds=(1.14,5.7), initialize=1.14) m.x38 = Var(within=Reals, bounds=(0.85,4.25), initialize=0.85) m.x39 = Var(within=Reals, bounds=(0.88,4.4), initialize=0.88) m.x40 = Var(within=Reals, bounds=(0.86,4.3), initialize=0.86) m.b41 = Var(within=Binary, bounds=(0,1), initialize=0) m.b42 = Var(within=Binary, bounds=(0,1), initialize=0) m.b43 = Var(within=Binary, bounds=(0,1), initialize=0) m.b44 = Var(within=Binary, bounds=(0,1), initialize=0) m.b45 = Var(within=Binary, bounds=(0,1), initialize=0) m.b46 = Var(within=Binary, bounds=(0,1), initialize=0) m.b47 = Var(within=Binary, bounds=(0,1), initialize=0) m.b48 = Var(within=Binary, bounds=(0,1), initialize=0) m.b49 = Var(within=Binary, bounds=(0,1), initialize=0) m.b50 = Var(within=Binary, bounds=(0,1), initialize=0) m.b51 = Var(within=Binary, bounds=(0,1), initialize=0) m.b52 = Var(within=Binary, bounds=(0,1), initialize=0) m.b53 = Var(within=Binary, bounds=(0,1), initialize=0) m.b54 = Var(within=Binary, bounds=(0,1), initialize=0) m.b55 = Var(within=Binary, bounds=(0,1), initialize=0) m.b56 = Var(within=Binary, bounds=(0,1), initialize=0) m.b57 = Var(within=Binary, bounds=(0,1), initialize=0) m.b58 = Var(within=Binary, bounds=(0,1), initialize=0) m.b59 = Var(within=Binary, bounds=(0,1), initialize=0) m.b60 = Var(within=Binary, bounds=(0,1), initialize=0) m.b61 = Var(within=Binary, bounds=(0,1), initialize=0) m.b62 = Var(within=Binary, bounds=(0,1), initialize=0) m.b63 = Var(within=Binary, bounds=(0,1), initialize=0) m.b64 = Var(within=Binary, bounds=(0,1), initialize=0) m.b65 = Var(within=Binary, bounds=(0,1), initialize=0) m.b66 = Var(within=Binary, bounds=(0,1), initialize=0) m.b67 = Var(within=Binary, bounds=(0,1), initialize=0) m.b68 = Var(within=Binary, bounds=(0,1), initialize=0) m.b69 = Var(within=Binary, bounds=(0,1), initialize=0) m.b70 = Var(within=Binary, bounds=(0,1), initialize=0) m.b71 = Var(within=Binary, bounds=(0,1), initialize=0) m.b72 = Var(within=Binary, bounds=(0,1), initialize=0) m.b73 = Var(within=Binary, bounds=(0,1), initialize=0) m.b74 = Var(within=Binary, bounds=(0,1), initialize=0) m.b75 = Var(within=Binary, bounds=(0,1), initialize=0) m.b76 = Var(within=Binary, bounds=(0,1), initialize=0) m.obj = Objective(sense=minimize, expr= 250 * m.x13**0.6 * m.x1 + 550 * m.x14** 0.6 * m.x2 + 250 * m.x15**0.6 * m.x3 + 1000 * m.x16**0.6 * m.x4 + 300 * m.x17**0.6 * m.x5 + 800 * m.x18**0.6 * m.x6 + 200 * m.x19**0.6 * m.x7 + 1200 * m.x20**0.6 * m.x8 + 250 * m.x21**0.6 * m.x9 + 250 * m.x22**0.6 * m.x10 + 450 * m.x23**0.6 * m.x11 + 700 * m.x24**0.6 * m.x12) m.e1 = Constraint(expr= m.x13 - 7.9 * m.x25 >= 0) m.e2 = Constraint(expr= m.x14 - 2 * m.x25 >= 0) m.e3 = Constraint(expr= m.x15 - 5.2 * m.x25 >= 0) m.e4 = Constraint(expr= m.x16 - 4.9 * m.x25 >= 0) m.e5 = Constraint(expr= m.x17 - 6.1 * m.x25 >= 0) m.e6 = Constraint(expr= m.x18 - 4.2 * m.x25 >= 0) m.e7 = Constraint(expr= m.x19 - 2.8 * m.x25 >= 0) m.e8 = Constraint(expr= m.x20 - 3.3 * m.x25 >= 0) m.e9 = Constraint(expr= m.x21 - 4.1 * m.x25 >= 0) m.e10 = Constraint(expr= m.x22 - 3.8 * m.x25 >= 0) m.e11 = Constraint(expr= m.x23 - 2.8 * m.x25 >= 0) m.e12 = Constraint(expr= m.x24 - 3.9 * m.x25 >= 0) m.e13 = Constraint(expr= m.x13 - 0.7 * m.x26 >= 0) m.e14 = Constraint(expr= m.x14 - 0.8 * m.x26 >= 0) m.e15 = Constraint(expr= m.x15 - 0.9 * m.x26 >= 0) m.e16 = Constraint(expr= m.x16 - 3.4 * m.x26 >= 0) m.e17 = Constraint(expr= m.x17 - 2.1 * m.x26 >= 0) m.e18 = Constraint(expr= m.x18 - 2.5 * m.x26 >= 0) m.e19 = Constraint(expr= m.x19 - 3.3 * m.x26 >= 0) m.e20 = Constraint(expr= m.x20 - 3 * m.x26 >= 0) m.e21 = Constraint(expr= m.x21 - 2.7 * m.x26 >= 0) m.e22 = Constraint(expr= m.x22 - 2.4 * m.x26 >= 0) m.e23 = Constraint(expr= m.x23 - 2.2 * m.x26 >= 0) m.e24 = Constraint(expr= m.x24 - 3.1 * m.x26 >= 0) m.e25 = Constraint(expr= m.x13 - 0.7 * m.x27 >= 0) m.e26 = Constraint(expr= m.x14 - 2.6 * m.x27 >= 0) m.e27 = Constraint(expr= m.x15 - 1.6 * m.x27 >= 0) m.e28 = Constraint(expr= m.x16 - 3.6 * m.x27 >= 0) m.e29 = Constraint(expr= m.x17 - 3.2 * m.x27 >= 0) m.e30 = Constraint(expr= m.x18 - 2.9 * m.x27 >= 0) m.e31 = Constraint(expr= m.x19 - 2.6 * m.x27 >= 0) m.e32 = Constraint(expr= m.x20 - 2.2 * m.x27 >= 0) m.e33 = Constraint(expr= m.x21 - 4.6 * m.x27 >= 0) m.e34 = Constraint(expr= m.x22 - 4.3 * m.x27 >= 0) m.e35 = Constraint(expr= m.x23 - 4.2 * m.x27 >= 0) m.e36 = Constraint(expr= m.x24 - 4.6 * m.x27 >= 0) m.e37 = Constraint(expr= m.x13 - 4.7 * m.x28 >= 0) m.e38 = Constraint(expr= m.x14 - 2.3 * m.x28 >= 0) m.e39 = Constraint(expr= m.x15 - 1.6 * m.x28 >= 0) m.e40 = Constraint(expr= m.x16 - 2.7 * m.x28 >= 0) m.e41 = Constraint(expr= m.x17 - 1.2 * m.x28 >= 0) m.e42 = Constraint(expr= m.x18 - 2.5 * m.x28 >= 0) m.e43 = Constraint(expr= m.x19 - 1.5 * m.x28 >= 0) m.e44 = Constraint(expr= m.x20 - 1.5 * m.x28 >= 0) m.e45 = Constraint(expr= m.x21 - 1.3 * m.x28 >= 0) m.e46 = Constraint(expr= m.x22 - 1.7 * m.x28 >= 0) m.e47 = Constraint(expr= m.x23 - 1.5 * m.x28 >= 0) m.e48 = Constraint(expr= m.x24 - 1.8 * m.x28 >= 0) m.e49 = Constraint(expr= m.x13 - 1.2 * m.x29 >= 0) m.e50 = Constraint(expr= m.x14 - 3.6 * m.x29 >= 0) m.e51 = Constraint(expr= m.x15 - 2.4 * m.x29 >= 0) m.e52 = Constraint(expr= m.x16 - 4.5 * m.x29 >= 0) m.e53 = Constraint(expr= m.x17 - 1.6 * m.x29 >= 0) m.e54 = Constraint(expr= m.x18 - 2.1 * m.x29 >= 0) m.e55 = Constraint(expr= m.x19 - 2.4 * m.x29 >= 0) m.e56 = Constraint(expr= m.x20 - 2.7 * m.x29 >= 0) m.e57 = Constraint(expr= m.x21 - 2.8 * m.x29 >= 0) m.e58 = Constraint(expr= m.x22 - 3.5 * m.x29 >= 0) m.e59 = Constraint(expr= m.x23 - 3.5 * m.x29 >= 0) m.e60 = Constraint(expr= m.x24 - 4.3 * m.x29 >= 0) m.e61 = Constraint(expr= m.x13 - 0.7 * m.x30 >= 0) m.e62 = Constraint(expr= m.x14 - 2.4 * m.x30 >= 0) m.e63 = Constraint(expr= m.x15 - 3.1 * m.x30 >= 0) m.e64 = Constraint(expr= m.x16 - 2.2 * m.x30 >= 0) m.e65 = Constraint(expr= m.x17 - 3.7 * m.x30 >= 0) m.e66 = Constraint(expr= m.x18 - 4.8 * m.x30 >= 0) m.e67 = Constraint(expr= m.x19 - 4.5 * m.x30 >= 0) m.e68 = Constraint(expr= m.x20 - 5.2 * m.x30 >= 0) m.e69 = Constraint(expr= m.x21 - 6.4 * m.x30 >= 0) m.e70 = Constraint(expr= m.x22 - 5.7 * m.x30 >= 0) m.e71 = Constraint(expr= m.x23 - 6.4 * m.x30 >= 0) m.e72 = Constraint(expr= m.x24 - 6.8 * m.x30 >= 0) m.e73 = Constraint(expr= m.x13 - 2.3 * m.x31 >= 0) m.e74 = Constraint(expr= m.x14 - 4.7 * m.x31 >= 0) m.e75 = Constraint(expr= m.x15 - 5.2 * m.x31 >= 0) m.e76 = Constraint(expr= m.x16 - 3.5 * m.x31 >= 0) m.e77 = Constraint(expr= m.x17 - 2.9 * m.x31 >= 0) m.e78 = Constraint(expr= m.x18 - 3.6 * m.x31 >= 0) m.e79 = Constraint(expr= m.x19 - 3.3 * m.x31 >= 0) m.e80 = Constraint(expr= m.x20 - 3.2 * m.x31 >= 0) m.e81 = Constraint(expr= m.x21 - 4.1 * m.x31 >= 0) m.e82 = Constraint(expr= m.x22 - 3.7 * m.x31 >= 0) m.e83 = Constraint(expr= m.x23 - 3.4 * m.x31 >= 0) m.e84 = Constraint(expr= m.x24 - 3.7 * m.x31 >= 0) m.e85 = Constraint(expr= m.x13 - 0.4 * m.x32 >= 0) m.e86 = Constraint(expr= m.x14 - 0.9 * m.x32 >= 0) m.e87 = Constraint(expr= m.x15 - 1.1 * m.x32 >= 0) m.e88 = Constraint(expr= m.x16 - 1.4 * m.x32 >= 0) m.e89 = Constraint(expr= m.x17 - 1.6 * m.x32 >= 0) m.e90 = Constraint(expr= m.x18 - 2.2 * m.x32 >= 0) m.e91 = Constraint(expr= m.x19 - 2 * m.x32 >= 0) m.e92 = Constraint(expr= m.x20 - 1.8 * m.x32 >= 0) m.e93 = Constraint(expr= m.x21 - 1.8 * m.x32 >= 0) m.e94 = Constraint(expr= m.x22 - 1.6 * m.x32 >= 0) m.e95 = Constraint(expr= m.x23 - 1.8 * m.x32 >= 0) m.e96 = Constraint(expr= m.x24 - 2 * m.x32 >= 0) m.e97 = Constraint(expr= m.x1 * m.x33 >= 6.4) m.e98 = Constraint(expr= m.x2 * m.x33 >= 4.7) m.e99 = Constraint(expr= m.x3 * m.x33 >= 8.3) m.e100 = Constraint(expr= m.x4 * m.x33 >= 3.9) m.e101 = Constraint(expr= m.x5 * m.x33 >= 2.1) m.e102 = Constraint(expr= m.x6 * m.x33 >= 1.2) m.e103 = Constraint(expr= m.x7 * m.x33 >= 0.8) m.e104 = Constraint(expr= m.x8 * m.x33 >= 2.2) m.e105 = Constraint(expr= m.x9 * m.x33 >= 1.2) m.e106 = Constraint(expr= m.x10 * m.x33 >= 2.5) m.e107 = Constraint(expr= m.x11 * m.x33 >= 3.4) m.e108 = Constraint(expr= m.x12 * m.x33 >= 3.8) m.e109 = Constraint(expr= m.x1 * m.x34 >= 6.8) m.e110 = Constraint(expr= m.x2 * m.x34 >= 6.4) m.e111 = Constraint(expr= m.x3 * m.x34 >= 6.5) m.e112 = Constraint(expr= m.x4 * m.x34 >= 4.4) m.e113 = Constraint(expr= m.x5 * m.x34 >= 2.3) m.e114 = Constraint(expr= m.x6 * m.x34 >= 3.2) m.e115 = Constraint(expr= m.x7 * m.x34 >= 0.4) m.e116 = Constraint(expr= m.x8 * m.x34 >= 0.2) m.e117 = Constraint(expr= m.x9 * m.x34 >= 0.5) m.e118 = Constraint(expr= m.x10 * m.x34 >= 3.3) m.e119 = Constraint(expr= m.x11 * m.x34 >= 0.6) m.e120 = Constraint(expr= m.x12 * m.x34 >= 1.2) m.e121 = Constraint(expr= m.x1 * m.x35 >= 1) m.e122 = Constraint(expr= m.x2 * m.x35 >= 6.3) m.e123 = Constraint(expr= m.x3 * m.x35 >= 5.4) m.e124 = Constraint(expr= m.x4 * m.x35 >= 11.9) m.e125 = Constraint(expr= m.x5 * m.x35 >= 5.7) m.e126 = Constraint(expr= m.x6 * m.x35 >= 6.2) m.e127 = Constraint(expr= m.x7 * m.x35 >= 1.1) m.e128 = Constraint(expr= m.x8 * m.x35 >= 0.6) m.e129 = Constraint(expr= m.x9 * m.x35 >= 1.2) m.e130 = Constraint(expr= m.x10 * m.x35 >= 4.3) m.e131 = Constraint(expr= m.x11 * m.x35 >= 2.8) m.e132 = Constraint(expr= m.x12 * m.x35 >= 5.2) m.e133 = Constraint(expr= m.x1 * m.x36 >= 3.2) m.e134 = Constraint(expr= m.x2 * m.x36 >= 3) m.e135 = Constraint(expr= m.x3 * m.x36 >= 3.5) m.e136 = Constraint(expr= m.x4 * m.x36 >= 3.3) m.e137 = Constraint(expr= m.x5 * m.x36 >= 2.8) m.e138 = Constraint(expr= m.x6 * m.x36 >= 3.4) m.e139 = Constraint(expr= m.x7 * m.x36 >= 1.7) m.e140 = Constraint(expr= m.x8 * m.x36 >= 0.9) m.e141 = Constraint(expr= m.x9 * m.x36 >= 2.2) m.e142 = Constraint(expr= m.x10 * m.x36 >= 2.15) m.e143 = Constraint(expr= m.x11 * m.x36 >= 1.8) m.e144 = Constraint(expr= m.x12 * m.x36 >= 2.5) m.e145 = Constraint(expr= m.x1 * m.x37 >= 2.1) m.e146 = Constraint(expr= m.x2 * m.x37 >= 2.5) m.e147 = Constraint(expr= m.x3 * m.x37 >= 4.2) m.e148 = Constraint(expr= m.x4 * m.x37 >= 3.6) m.e149 = Constraint(expr= m.x5 * m.x37 >= 5.7) m.e150 = Constraint(expr= m.x6 * m.x37 >= 2.2) m.e151 = Constraint(expr= m.x7 * m.x37 >= 1.2) m.e152 = Constraint(expr= m.x8 * m.x37 >= 0.6) m.e153 = Constraint(expr= m.x9 * m.x37 >= 1.15) m.e154 = Constraint(expr= m.x10 * m.x37 >= 3.1) m.e155 = Constraint(expr= m.x11 * m.x37 >= 4.2) m.e156 = Constraint(expr= m.x12 * m.x37 >= 1.6) m.e157 = Constraint(expr= m.x1 * m.x38 >= 1.1) m.e158 = Constraint(expr= m.x2 * m.x38 >= 0.8) m.e159 = Constraint(expr= m.x3 * m.x38 >= 0.4) m.e160 = Constraint(expr= m.x4 * m.x38 >= 1.1) m.e161 = Constraint(expr= m.x5 * m.x38 >= 1.8) m.e162 = Constraint(expr= m.x6 * m.x38 >= 2.5) m.e163 = Constraint(expr= m.x7 * m.x38 >= 0.5) m.e164 = Constraint(expr= m.x8 * m.x38 >= 1.3) m.e165 = Constraint(expr= m.x9 * m.x38 >= 1.4) m.e166 = Constraint(expr= m.x10 * m.x38 >= 4.25) m.e167 = Constraint(expr= m.x11 * m.x38 >= 2.7) m.e168 = Constraint(expr= m.x12 * m.x38 >= 0.9) m.e169 = Constraint(expr= m.x1 * m.x39 >= 4.2) m.e170 = Constraint(expr= m.x2 * m.x39 >= 4) m.e171 = Constraint(expr= m.x3 * m.x39 >= 2.2) m.e172 = Constraint(expr= m.x4 * m.x39 >= 0.5) m.e173 = Constraint(expr= m.x5 * m.x39 >= 3.4) m.e174 = Constraint(expr= m.x6 * m.x39 >= 2.2) m.e175 = Constraint(expr= m.x7 * m.x39 >= 1.4) m.e176 = Constraint(expr= m.x8 * m.x39 >= 0.9) m.e177 = Constraint(expr= m.x9 * m.x39 >= 2.1) m.e178 = Constraint(expr= m.x10 * m.x39 >= 4.4) m.e179 = Constraint(expr= m.x11 * m.x39 >= 2.2) m.e180 = Constraint(expr= m.x12 * m.x39 >= 3.2) m.e181 = Constraint(expr= m.x1 * m.x40 >= 2.7) m.e182 = Constraint(expr= m.x2 * m.x40 >= 4.3) m.e183 = Constraint(expr= m.x3 * m.x40 >= 1.9) m.e184 = Constraint(expr= m.x4 * m.x40 >= 2) m.e185 = Constraint(expr= m.x5 * m.x40 >= 1.7) m.e186 = Constraint(expr= m.x6 * m.x40 >= 0.7) m.e187 = Constraint(expr= m.x7 * m.x40 >= 0.3) m.e188 = Constraint(expr= m.x8 * m.x40 >= 0.2) m.e189 = Constraint(expr= m.x9 * m.x40 >= 1.6) m.e190 = Constraint(expr= m.x10 * m.x40 >= 3.5) m.e191 = Constraint(expr= m.x11 * m.x40 >= 3.4) m.e192 = Constraint(expr= m.x12 * m.x40 >= 2.1) m.e193 = Constraint(expr= 485000 * m.x33 / m.x25 + 297000 * m.x34 / m.x26 + 3.2e+05 * m.x35 / m.x27 + 283000 * m.x36 / m.x28 + 363000 * m.x37 / m.x29 + 265000 * m.x38 / m.x30 + 288000 * m.x39 / m.x31 + 145000 * m.x40 / m.x32 <= 6000) m.e194 = Constraint(expr= m.x1 - m.b41 - 2 * m.b53 - 4 * m.b65 == 1) m.e195 = Constraint(expr= m.x2 - m.b42 - 2 * m.b54 - 4 * m.b66 == 1) m.e196 = Constraint(expr= m.x3 - m.b43 - 2 * m.b55 - 4 * m.b67 == 1) m.e197 = Constraint(expr= m.x4 - m.b44 - 2 * m.b56 - 4 * m.b68 == 1) m.e198 = Constraint(expr= m.x5 - m.b45 - 2 * m.b57 - 4 * m.b69 == 1) m.e199 = Constraint(expr= m.x6 - m.b46 - 2 * m.b58 - 4 * m.b70 == 1) m.e200 = Constraint(expr= m.x7 - m.b47 - 2 * m.b59 - 4 * m.b71 == 1) m.e201 = Constraint(expr= m.x8 - m.b48 - 2 * m.b60 - 4 * m.b72 == 1) m.e202 = Constraint(expr= m.x9 - m.b49 - 2 * m.b61 - 4 * m.b73 == 1) m.e203 = Constraint(expr= m.x10 - m.b50 - 2 * m.b62 - 4 * m.b74 == 1) m.e204 = Constraint(expr= m.x11 - m.b51 - 2 * m.b63 - 4 * m.b75 == 1) m.e205 = Constraint(expr= m.x12 - m.b52 - 2 * m.b64 - 4 * m.b76 == 1)