# MINLP written by GAMS Convert at 02/17/22 17:18:03 # # Equation counts # Total E G L N X C B # 98 94 4 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 149 101 48 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 312 225 87 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(10,None), initialize=36.344) m.x2 = Var(within=Reals, bounds=(0,None), initialize=1763.656) m.x3 = Var(within=Reals, bounds=(1,None), initialize=3.042) m.x4 = Var(within=Reals, bounds=(1,None), initialize=10.808) m.x5 = Var(within=Reals, bounds=(2,None), initialize=216.161) m.x6 = Var(within=Reals, bounds=(1,None), initialize=1.225) m.x7 = Var(within=Reals, bounds=(0.1675,None), initialize=2.542) m.x8 = Var(within=Reals, bounds=(0,None), initialize=1800) m.x9 = Var(within=Reals, bounds=(0,None), initialize=241.731) m.x10 = Var(within=Reals, bounds=(0,None), initialize=158.011) m.x11 = Var(within=Reals, bounds=(0,None), initialize=88.847) m.x12 = Var(within=Reals, bounds=(5,None), initialize=5) m.x13 = Var(within=Reals, bounds=(5,None), initialize=18.176) m.x14 = Var(within=Reals, bounds=(5,None), initialize=26.048) m.x15 = Var(within=Reals, bounds=(5,None), initialize=43.416) m.x16 = Var(within=Reals, bounds=(1,None), initialize=241.731) m.x17 = Var(within=Reals, bounds=(1,None), initialize=158.011) m.x18 = Var(within=Reals, bounds=(1,None), initialize=88.847) m.x19 = Var(within=Reals, bounds=(1,None), initialize=36.344) m.x20 = Var(within=Reals, bounds=(0,None), initialize=18.176) m.x21 = Var(within=Reals, bounds=(0,None), initialize=26.048) m.x22 = Var(within=Reals, bounds=(0,None), initialize=43.416) m.x23 = Var(within=Reals, bounds=(0,None), initialize=100) m.x24 = Var(within=Reals, bounds=(0,None), initialize=1558.269) m.x25 = Var(within=Reals, bounds=(0,None), initialize=83.72) m.x26 = Var(within=Reals, bounds=(0,None), initialize=69.163) m.x27 = Var(within=Reals, bounds=(0,None), initialize=52.503) m.x28 = Var(within=Reals, bounds=(0.001,None), initialize=2.956) m.x29 = Var(within=Reals, bounds=(0.001,None), initialize=3.317) m.x30 = Var(within=Reals, bounds=(0.001,None), initialize=3.737) m.x31 = Var(within=Reals, bounds=(0.001,None), initialize=4.248) m.x32 = Var(within=Reals, bounds=(1,None), initialize=176.503) m.x33 = Var(within=Reals, bounds=(1,None), initialize=10.861) m.x34 = Var(within=Reals, bounds=(1,None), initialize=11.542) m.x35 = Var(within=Reals, bounds=(1,None), initialize=17.256) m.x36 = Var(within=Reals, bounds=(1,None), initialize=1) m.x37 = Var(within=Reals, bounds=(1,None), initialize=1) m.x38 = Var(within=Reals, bounds=(1,None), initialize=1) m.x39 = Var(within=Reals, bounds=(1,None), initialize=1) m.x40 = Var(within=Reals, bounds=(1,None), initialize=176.572) m.x41 = Var(within=Reals, bounds=(1,None), initialize=154.169) m.x42 = Var(within=Reals, bounds=(1,None), initialize=119.85) m.x43 = Var(within=Reals, bounds=(1,None), initialize=60.852) m.x44 = Var(within=Reals, bounds=(0.01,None), initialize=147.804) m.x45 = Var(within=Reals, bounds=(0.01,None), initialize=165.863) m.x46 = Var(within=Reals, bounds=(0.01,None), initialize=186.858) m.x47 = Var(within=Reals, bounds=(0.01,None), initialize=212.397) m.x48 = Var(within=Reals, bounds=(2,6), initialize=4) m.x49 = Var(within=Reals, bounds=(2,6), initialize=4) m.x50 = Var(within=Reals, bounds=(2,6), initialize=4) m.x51 = Var(within=Reals, bounds=(2,6), initialize=4) m.x52 = Var(within=Reals, bounds=(1.26,6), initialize=3) m.x53 = Var(within=Reals, bounds=(1.26,6), initialize=3) m.x54 = Var(within=Reals, bounds=(1.26,6), initialize=3) m.x55 = Var(within=Reals, bounds=(1.26,6), initialize=3) m.x56 = Var(within=Reals, bounds=(1.13e-05,None), initialize=2.1769e-05) m.x57 = Var(within=Reals, bounds=(1.13e-05,None), initialize=2.1769e-05) m.x58 = Var(within=Reals, bounds=(1.13e-05,None), initialize=2.1769e-05) m.x59 = Var(within=Reals, bounds=(1.13e-05,None), initialize=2.1769e-05) m.x60 = Var(within=Reals, bounds=(2.9e-07,None), initialize=1.299) m.x61 = Var(within=Reals, bounds=(2.9e-07,None), initialize=1.642) m.x62 = Var(within=Reals, bounds=(2.9e-07,None), initialize=2.167) m.x63 = Var(within=Reals, bounds=(2.9e-07,None), initialize=3.069) m.x64 = Var(within=Reals, bounds=(3e-07,None), initialize=1.3) m.x65 = Var(within=Reals, bounds=(3e-07,None), initialize=1.643) m.x66 = Var(within=Reals, bounds=(3e-07,None), initialize=2.169) m.x67 = Var(within=Reals, bounds=(3e-07,None), initialize=3.072) m.x68 = Var(within=Reals, bounds=(3e-07,None), initialize=0.001) m.x69 = Var(within=Reals, bounds=(3e-07,None), initialize=0.001) m.x70 = Var(within=Reals, bounds=(3e-07,None), initialize=0.002) m.x71 = Var(within=Reals, bounds=(3e-07,None), initialize=0.002) m.x72 = Var(within=Reals, bounds=(0.05,None), initialize=8.825) m.x73 = Var(within=Reals, bounds=(0.05,None), initialize=0.543) m.x74 = Var(within=Reals, bounds=(0.05,None), initialize=0.577) m.x75 = Var(within=Reals, bounds=(0.05,None), initialize=0.863) m.x76 = Var(within=Reals, bounds=(0,None), initialize=1121.796) m.x77 = Var(within=Reals, bounds=(0,None), initialize=1121.796) m.x78 = Var(within=Reals, bounds=(0,None), initialize=1121.796) m.x79 = Var(within=Reals, bounds=(0,None), initialize=1121.796) m.x80 = Var(within=Reals, bounds=(0,None), initialize=198000) m.x81 = Var(within=Reals, bounds=(0,None), initialize=12183.696) m.x82 = Var(within=Reals, bounds=(0,None), initialize=12947.373) m.x83 = Var(within=Reals, bounds=(0,None), initialize=19357.594) m.x84 = Var(within=Reals, bounds=(0,None), initialize=0.2) m.x85 = Var(within=Reals, bounds=(0,None), initialize=0.027) m.x86 = Var(within=Reals, bounds=(0,None), initialize=0.018) m.x87 = Var(within=Reals, bounds=(0,None), initialize=0.01) m.x88 = Var(within=Reals, bounds=(0,None), initialize=1.1) m.x89 = Var(within=Reals, bounds=(0,None), initialize=0.068) m.x90 = Var(within=Reals, bounds=(0,None), initialize=0.072) m.x91 = Var(within=Reals, bounds=(0,None), initialize=0.108) m.x92 = Var(within=Reals, bounds=(0,None), initialize=2.063) m.x93 = Var(within=Reals, bounds=(0,None), initialize=0.15) m.x94 = Var(within=Reals, bounds=(0,None), initialize=0.142) m.x95 = Var(within=Reals, bounds=(0,None), initialize=0.186) m.b96 = Var(within=Binary, bounds=(0,1), initialize=0) m.b97 = Var(within=Binary, bounds=(0,1), initialize=0) m.b98 = Var(within=Binary, bounds=(0,1), initialize=0) m.b99 = Var(within=Binary, bounds=(0,1), initialize=0) m.b100 = Var(within=Binary, bounds=(0,1), initialize=0) m.b101 = Var(within=Binary, bounds=(0,1), initialize=0) m.b102 = Var(within=Binary, bounds=(0,1), initialize=0) m.b103 = Var(within=Binary, bounds=(0,1), initialize=0) m.b104 = Var(within=Binary, bounds=(0,1), initialize=0) m.b105 = Var(within=Binary, bounds=(0,1), initialize=0) m.b106 = Var(within=Binary, bounds=(0,1), initialize=0) m.b107 = Var(within=Binary, bounds=(0,1), initialize=0) m.b108 = Var(within=Binary, bounds=(0,1), initialize=0) m.b109 = Var(within=Binary, bounds=(0,1), initialize=0) m.b110 = Var(within=Binary, bounds=(0,1), initialize=0) m.b111 = Var(within=Binary, bounds=(0,1), initialize=0) m.b112 = Var(within=Binary, bounds=(0,1), initialize=0) m.b113 = Var(within=Binary, bounds=(0,1), initialize=0) m.b114 = Var(within=Binary, bounds=(0,1), initialize=0) m.b115 = Var(within=Binary, bounds=(0,1), initialize=0) m.b116 = Var(within=Binary, bounds=(0,1), initialize=0) m.b117 = Var(within=Binary, bounds=(0,1), initialize=0) m.b118 = Var(within=Binary, bounds=(0,1), initialize=0) m.b119 = Var(within=Binary, bounds=(0,1), initialize=0) m.b120 = Var(within=Binary, bounds=(0,1), initialize=0) m.b121 = Var(within=Binary, bounds=(0,1), initialize=0) m.b122 = Var(within=Binary, bounds=(0,1), initialize=0) m.b123 = Var(within=Binary, bounds=(0,1), initialize=0) m.b124 = Var(within=Binary, bounds=(0,1), initialize=0) m.b125 = Var(within=Binary, bounds=(0,1), initialize=0) m.b126 = Var(within=Binary, bounds=(0,1), initialize=0) m.b127 = Var(within=Binary, bounds=(0,1), initialize=0) m.b128 = Var(within=Binary, bounds=(0,1), initialize=0) m.b129 = Var(within=Binary, bounds=(0,1), initialize=0) m.b130 = Var(within=Binary, bounds=(0,1), initialize=0) m.b131 = Var(within=Binary, bounds=(0,1), initialize=0) m.b132 = Var(within=Binary, bounds=(0,1), initialize=0) m.b133 = Var(within=Binary, bounds=(0,1), initialize=0) m.b134 = Var(within=Binary, bounds=(0,1), initialize=0) m.b135 = Var(within=Binary, bounds=(0,1), initialize=0) m.b136 = Var(within=Binary, bounds=(0,1), initialize=0) m.b137 = Var(within=Binary, bounds=(0,1), initialize=0) m.b138 = Var(within=Binary, bounds=(0,1), initialize=0) m.b139 = Var(within=Binary, bounds=(0,1), initialize=0) m.b140 = Var(within=Binary, bounds=(0,1), initialize=0) m.b141 = Var(within=Binary, bounds=(0,1), initialize=0) m.b142 = Var(within=Binary, bounds=(0,1), initialize=0) m.b143 = Var(within=Binary, bounds=(0,1), initialize=0) m.x144 = Var(within=Reals, bounds=(0,None), initialize=0) m.x145 = Var(within=Reals, bounds=(0,None), initialize=0) m.x146 = Var(within=Reals, bounds=(0,None), initialize=0) m.x147 = Var(within=Reals, bounds=(0,None), initialize=0) m.x148 = Var(within=Reals, bounds=(0,None), initialize=0) m.x149 = Var(within=Reals, bounds=(0,None), initialize=0) m.obj = Objective(sense=minimize, expr= m.x144 + m.x145 + m.x146 + m.x147 + m.x148 + m.x149 + 3271.22725820856) m.e1 = Constraint(expr= m.x8 == 1800) m.e2 = Constraint(expr= m.x12 == 5) m.e3 = Constraint(expr= m.x2 - m.x24 - m.x25 - m.x26 - m.x27 == 0) m.e4 = Constraint(expr= -(m.x28 * m.x24 + m.x29 * m.x25 + m.x30 * m.x26 + m.x31 * m.x27) / m.x2 + m.x3 == 0) m.e5 = Constraint(expr= m.x1 - m.x19 == 0) m.e6 = Constraint(expr= m.x23 == 100) m.e7 = Constraint(expr= m.x9 - m.x16 == 0) m.e8 = Constraint(expr= m.x13 - m.x20 == 0) m.e9 = Constraint(expr= m.x5 - m.x32 - m.x33 - m.x34 - m.x35 == 0) m.e10 = Constraint(expr= m.x6 - m.x36 - m.x37 - m.x38 - m.x39 == 0) m.e11 = Constraint(expr= m.x7 - m.x92 - m.x93 - m.x94 - m.x95 == 0) m.e12 = Constraint(expr= m.x4 - m.x72 - m.x73 - m.x74 - m.x75 == 0) m.e13 = Constraint(expr= m.x10 - m.x17 == 0) m.e14 = Constraint(expr= m.x14 - m.x21 == 0) m.e15 = Constraint(expr= m.x11 - m.x18 == 0) m.e16 = Constraint(expr= m.x15 - m.x22 == 0) m.e17 = Constraint(expr= 2.77777777777778e-07 * m.x40 / log((-m.x28 + m.x44) / (m.x20 - m.x28)) - m.x56 == 0) m.e18 = Constraint(expr= 2.77777777777778e-07 * m.x41 / log((-m.x29 + m.x45) / (m.x21 - m.x29)) - m.x57 == 0) m.e19 = Constraint(expr= 2.77777777777778e-07 * m.x42 / log((-m.x30 + m.x46) / (m.x22 - m.x30)) - m.x58 == 0) m.e20 = Constraint(expr= 2.77777777777778e-07 * m.x43 / log((-m.x31 + m.x47) / (m.x23 - m.x31)) - m.x59 == 0) m.e21 = Constraint(expr= 50 * m.x28 - m.x44 == 0) m.e22 = Constraint(expr= 50 * m.x29 - m.x45 == 0) m.e23 = Constraint(expr= 50 * m.x30 - m.x46 == 0) m.e24 = Constraint(expr= 50 * m.x31 - m.x47 == 0) m.e25 = Constraint(expr= m.x40 - 65.38084341288 * m.x48 + 65.38084341288 * m.x60 == 0) m.e26 = Constraint(expr= m.x41 - 65.38084341288 * m.x49 + 65.38084341288 * m.x61 == 0) m.e27 = Constraint(expr= m.x42 - 65.38084341288 * m.x50 + 65.38084341288 * m.x62 == 0) m.e28 = Constraint(expr= m.x43 - 65.38084341288 * m.x51 + 65.38084341288 * m.x63 == 0) m.e29 = Constraint(expr= -m.x60 + m.x64 - m.x68 == 0) m.e30 = Constraint(expr= -m.x61 + m.x65 - m.x69 == 0) m.e31 = Constraint(expr= -m.x62 + m.x66 - m.x70 == 0) m.e32 = Constraint(expr= -m.x63 + m.x67 - m.x71 == 0) m.e33 = Constraint(expr= -1e-05 * (12.09 * m.x44**2 + 3.66 * m.x44 - 0.08 * m.x44**3 + 0.0002592 * m.x44**4) + m.x64 == 0) m.e34 = Constraint(expr= -1e-05 * (12.09 * m.x45**2 + 3.66 * m.x45 - 0.08 * m.x45**3 + 0.0002592 * m.x45**4) + m.x65 == 0) m.e35 = Constraint(expr= -1e-05 * (12.09 * m.x46**2 + 3.66 * m.x46 - 0.08 * m.x46**3 + 0.0002592 * m.x46**4) + m.x66 == 0) m.e36 = Constraint(expr= -1e-05 * (12.09 * m.x47**2 + 3.66 * m.x47 - 0.08 * m.x47**3 + 0.0002592 * m.x47**4) + m.x67 == 0) m.e37 = Constraint(expr= -1e-05 * (12.09 * m.x28**2 + 3.66 * m.x28 - 0.08 * m.x28**3 + 0.0002592 * m.x28**4) + m.x68 == 0) m.e38 = Constraint(expr= -1e-05 * (12.09 * m.x29**2 + 3.66 * m.x29 - 0.08 * m.x29**3 + 0.0002592 * m.x29**4) + m.x69 == 0) m.e39 = Constraint(expr= -1e-05 * (12.09 * m.x30**2 + 3.66 * m.x30 - 0.08 * m.x30**3 + 0.0002592 * m.x30**4) + m.x70 == 0) m.e40 = Constraint(expr= -1e-05 * (12.09 * m.x31**2 + 3.66 * m.x31 - 0.08 * m.x31**3 + 0.0002592 * m.x31**4) + m.x71 == 0) m.e41 = Constraint(expr= -1.13572384718704e-08 * (7936.50793650794 * m.x52)** 0.75 + m.x56 == 0) m.e42 = Constraint(expr= -1.13572384718704e-08 * (7936.50793650794 * m.x53)** 0.75 + m.x57 == 0) m.e43 = Constraint(expr= -1.13572384718704e-08 * (7936.50793650794 * m.x54)** 0.75 + m.x58 == 0) m.e44 = Constraint(expr= -1.13572384718704e-08 * (7936.50793650794 * m.x55)** 0.75 + m.x59 == 0) m.e45 = Constraint(expr= -m.x8 + m.x16 + m.x24 == 0) m.e46 = Constraint(expr= -m.x9 + m.x17 + m.x25 == 0) m.e47 = Constraint(expr= -m.x10 + m.x18 + m.x26 == 0) m.e48 = Constraint(expr= -m.x11 + m.x19 + m.x27 == 0) m.e49 = Constraint(expr= m.x12 * m.x8 - m.x20 * m.x16 - m.x28 * m.x24 == 0) m.e50 = Constraint(expr= m.x13 * m.x9 - m.x21 * m.x17 - m.x29 * m.x25 == 0) m.e51 = Constraint(expr= m.x14 * m.x10 - m.x22 * m.x18 - m.x30 * m.x26 == 0) m.e52 = Constraint(expr= m.x15 * m.x11 - m.x23 * m.x19 - m.x31 * m.x27 == 0) m.e53 = Constraint(expr= -2.77777777777778e-05 * m.x48 * m.x8 + m.x84 == 0) m.e54 = Constraint(expr= -2.77777777777778e-05 * m.x49 * m.x9 + m.x85 == 0) m.e55 = Constraint(expr= -2.77777777777778e-05 * m.x50 * m.x10 + m.x86 == 0) m.e56 = Constraint(expr= -2.77777777777778e-05 * m.x51 * m.x11 + m.x87 == 0) m.e57 = Constraint(expr= -m.x24 / m.x40 + m.x72 == 0) m.e58 = Constraint(expr= -m.x25 / m.x41 + m.x73 == 0) m.e59 = Constraint(expr= -m.x26 / m.x42 + m.x74 == 0) m.e60 = Constraint(expr= -m.x27 / m.x43 + m.x75 == 0) m.e61 = Constraint(expr= m.x32 - 20 * m.x72 == 0) m.e62 = Constraint(expr= m.x33 - 20 * m.x73 == 0) m.e63 = Constraint(expr= m.x34 - 20 * m.x74 == 0) m.e64 = Constraint(expr= m.x35 - 20 * m.x75 == 0) m.e65 = Constraint(expr= -373.932 * m.x52 + m.x76 == 0) m.e66 = Constraint(expr= -373.932 * m.x53 + m.x77 == 0) m.e67 = Constraint(expr= -373.932 * m.x54 + m.x78 == 0) m.e68 = Constraint(expr= -373.932 * m.x55 + m.x79 == 0) m.e69 = Constraint(expr= -m.x32 * m.x76 + m.x80 == 0) m.e70 = Constraint(expr= -m.x33 * m.x77 + m.x81 == 0) m.e71 = Constraint(expr= -m.x34 * m.x78 + m.x82 == 0) m.e72 = Constraint(expr= -m.x35 * m.x79 + m.x83 == 0) m.e73 = Constraint(expr= -5.55555555555556e-06 * m.x80 + m.x88 == 0) m.e74 = Constraint(expr= -5.55555555555556e-06 * m.x81 + m.x89 == 0) m.e75 = Constraint(expr= -5.55555555555556e-06 * m.x82 + m.x90 == 0) m.e76 = Constraint(expr= -5.55555555555556e-06 * m.x83 + m.x91 == 0) m.e77 = Constraint(expr= -1.58730158730159 * m.x84 - 1.58730158730159 * m.x88 + m.x92 == 0) m.e78 = Constraint(expr= -1.58730158730159 * m.x85 - 1.58730158730159 * m.x89 + m.x93 == 0) m.e79 = Constraint(expr= -1.58730158730159 * m.x86 - 1.58730158730159 * m.x90 + m.x94 == 0) m.e80 = Constraint(expr= -1.58730158730159 * m.x87 - 1.58730158730159 * m.x91 + m.x95 == 0) m.e81 = Constraint(expr= m.x36 - 0.909090909090909 * m.x88 >= 0) m.e82 = Constraint(expr= m.x37 - 0.909090909090909 * m.x89 >= 0) m.e83 = Constraint(expr= m.x38 - 0.909090909090909 * m.x90 >= 0) m.e84 = Constraint(expr= m.x39 - 0.909090909090909 * m.x91 >= 0) m.e85 = Constraint(expr= m.x32 - m.b96 - 2 * m.b100 - 4 * m.b104 - 8 * m.b108 - 16 * m.b112 - 32 * m.b116 - 64 * m.b120 - 128 * m.b124 == 0) m.e86 = Constraint(expr= m.x33 - m.b97 - 2 * m.b101 - 4 * m.b105 - 8 * m.b109 - 16 * m.b113 - 32 * m.b117 - 64 * m.b121 - 128 * m.b125 == 0) m.e87 = Constraint(expr= m.x34 - m.b98 - 2 * m.b102 - 4 * m.b106 - 8 * m.b110 - 16 * m.b114 - 32 * m.b118 - 64 * m.b122 - 128 * m.b126 == 0) m.e88 = Constraint(expr= m.x35 - m.b99 - 2 * m.b103 - 4 * m.b107 - 8 * m.b111 - 16 * m.b115 - 32 * m.b119 - 64 * m.b123 - 128 * m.b127 == 0) m.e89 = Constraint(expr= m.x36 - m.b128 - 2 * m.b132 - 4 * m.b136 - 8 * m.b140 == 0) m.e90 = Constraint(expr= m.x37 - m.b129 - 2 * m.b133 - 4 * m.b137 - 8 * m.b141 == 0) m.e91 = Constraint(expr= m.x38 - m.b130 - 2 * m.b134 - 4 * m.b138 - 8 * m.b142 == 0) m.e92 = Constraint(expr= m.x39 - m.b131 - 2 * m.b135 - 4 * m.b139 - 8 * m.b143 == 0) m.e93 = Constraint(expr= m.x144 == 5047.03634123606) m.e94 = Constraint(expr= -292.07386234005 * m.x6 + m.x145 == 0) m.e95 = Constraint(expr= -2103.94993266178 * m.x7 + m.x148 == 0) m.e96 = Constraint(expr= -45.7380420143865 * m.x2 + m.x146 == 0) m.e97 = Constraint(expr= -4.57380420143865 * m.x2 * m.x3 + m.x147 == 0) m.e98 = Constraint(expr= -764.973851088085 * m.x4 + m.x149 == 0)