# MINLP written by GAMS Convert at 03/03/22 14:44:50 # # Equation counts # Total E G L N X C B # 151 70 6 75 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 104 84 20 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 329 311 18 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(None,None), initialize=0) m.x2 = Var(within=Reals, bounds=(None,None), initialize=0) m.x3 = Var(within=Reals, bounds=(None,None), initialize=0) m.x4 = Var(within=Reals, bounds=(None,None), initialize=0) m.x5 = Var(within=Reals, bounds=(None,None), initialize=0) m.x6 = Var(within=Reals, bounds=(None,None), initialize=0) m.x7 = Var(within=Reals, bounds=(None,None), initialize=0) m.x8 = Var(within=Reals, bounds=(None,None), initialize=0) m.x9 = Var(within=Reals, bounds=(None,None), initialize=0) m.x10 = Var(within=Reals, bounds=(None,None), initialize=0) m.x11 = Var(within=Reals, bounds=(0,40), initialize=0) m.x12 = Var(within=Reals, bounds=(0,40), initialize=0) m.x13 = Var(within=Reals, bounds=(0,None), initialize=0) m.x14 = Var(within=Reals, bounds=(0,None), initialize=0) m.x15 = Var(within=Reals, bounds=(0,None), initialize=0) m.x16 = Var(within=Reals, bounds=(0,None), initialize=0) m.x17 = Var(within=Reals, bounds=(0,None), initialize=0) m.x18 = Var(within=Reals, bounds=(0,None), initialize=0) m.x19 = Var(within=Reals, bounds=(0,None), initialize=0) m.x20 = Var(within=Reals, bounds=(0,None), initialize=0) m.x21 = Var(within=Reals, bounds=(0,None), initialize=0) m.x22 = Var(within=Reals, bounds=(0,None), initialize=0) m.x23 = Var(within=Reals, bounds=(0,None), initialize=0) m.x24 = Var(within=Reals, bounds=(0,None), initialize=0) m.x25 = Var(within=Reals, bounds=(0,None), initialize=0) m.x26 = Var(within=Reals, bounds=(0,None), initialize=0) m.x27 = Var(within=Reals, bounds=(0,None), initialize=0) m.x28 = Var(within=Reals, bounds=(0,None), initialize=0) m.x29 = Var(within=Reals, bounds=(0,None), initialize=0) m.x30 = Var(within=Reals, bounds=(0,None), initialize=0) m.x31 = Var(within=Reals, bounds=(0,None), initialize=0) m.x32 = Var(within=Reals, bounds=(0,None), initialize=0) m.x33 = Var(within=Reals, bounds=(0,30), initialize=0) m.x34 = Var(within=Reals, bounds=(0,30), initialize=0) m.x35 = Var(within=Reals, bounds=(0,None), initialize=0) m.x36 = Var(within=Reals, bounds=(0,None), initialize=0) m.x37 = Var(within=Reals, bounds=(0,None), initialize=0) m.x38 = Var(within=Reals, bounds=(0,None), initialize=0) m.x39 = Var(within=Reals, bounds=(0,None), initialize=0) m.x40 = Var(within=Reals, bounds=(0,None), initialize=0) m.x41 = Var(within=Reals, bounds=(0,None), initialize=0) m.x42 = Var(within=Reals, bounds=(0,None), initialize=0) m.x43 = Var(within=Reals, bounds=(0,None), initialize=0) m.x44 = Var(within=Reals, bounds=(0,None), initialize=0) m.x45 = Var(within=Reals, bounds=(0,None), initialize=0) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0) m.x47 = Var(within=Reals, bounds=(0,None), initialize=0) m.x48 = Var(within=Reals, bounds=(0,None), initialize=0) m.x49 = Var(within=Reals, bounds=(0,None), initialize=0) m.x50 = Var(within=Reals, bounds=(0,None), initialize=0) m.x51 = Var(within=Reals, bounds=(0,None), initialize=0) m.x52 = Var(within=Reals, bounds=(0,None), initialize=0) m.x53 = Var(within=Reals, bounds=(0,None), initialize=0) m.x54 = Var(within=Reals, bounds=(0,None), initialize=0) m.x55 = Var(within=Reals, bounds=(0,None), initialize=0) m.x56 = Var(within=Reals, bounds=(0,None), initialize=0) m.x57 = Var(within=Reals, bounds=(0,None), initialize=0) m.x58 = Var(within=Reals, bounds=(0,None), initialize=0) m.x59 = Var(within=Reals, bounds=(0,None), initialize=0) m.x60 = Var(within=Reals, bounds=(0,None), initialize=0) m.x61 = Var(within=Reals, bounds=(0,None), initialize=0) m.x62 = Var(within=Reals, bounds=(0,None), initialize=0) m.x63 = Var(within=Reals, bounds=(0,None), initialize=0) m.x64 = Var(within=Reals, bounds=(0,None), initialize=0) m.x65 = Var(within=Reals, bounds=(0,None), initialize=0) m.x66 = Var(within=Reals, bounds=(0,None), initialize=0) m.x67 = Var(within=Reals, bounds=(0,None), initialize=0) m.x68 = Var(within=Reals, bounds=(0,None), initialize=0) m.x69 = Var(within=Reals, bounds=(0,None), initialize=0) m.x70 = Var(within=Reals, bounds=(0,None), initialize=0) m.x71 = Var(within=Reals, bounds=(0,None), initialize=0) m.x72 = Var(within=Reals, bounds=(0,None), initialize=0) m.x73 = Var(within=Reals, bounds=(0,None), initialize=0) m.x74 = Var(within=Reals, bounds=(0,None), initialize=0) m.x75 = Var(within=Reals, bounds=(0,None), initialize=0) m.x76 = Var(within=Reals, bounds=(0,None), initialize=0) m.x77 = Var(within=Reals, bounds=(0,None), initialize=0) m.x78 = Var(within=Reals, bounds=(0,None), initialize=0) m.x79 = Var(within=Reals, bounds=(0,None), initialize=0) m.x80 = Var(within=Reals, bounds=(0,None), initialize=0) m.x81 = Var(within=Reals, bounds=(0,None), initialize=0) m.x82 = Var(within=Reals, bounds=(0,None), initialize=0) m.x83 = Var(within=Reals, bounds=(0,None), initialize=0) m.x84 = Var(within=Reals, bounds=(0,None), initialize=0) m.b85 = Var(within=Binary, bounds=(0,1), initialize=0) m.b86 = Var(within=Binary, bounds=(0,1), initialize=0) m.b87 = Var(within=Binary, bounds=(0,1), initialize=0) m.b88 = Var(within=Binary, bounds=(0,1), initialize=0) m.b89 = Var(within=Binary, bounds=(0,1), initialize=0) m.b90 = Var(within=Binary, bounds=(0,1), initialize=0) m.b91 = Var(within=Binary, bounds=(0,1), initialize=0) m.b92 = Var(within=Binary, bounds=(0,1), initialize=0) m.b93 = Var(within=Binary, bounds=(0,1), initialize=0) m.b94 = Var(within=Binary, bounds=(0,1), initialize=0) m.b95 = Var(within=Binary, bounds=(0,1), initialize=0) 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.obj = Objective(sense=maximize, expr= -m.x11 - m.x12 + 5 * m.x23 + 10 * m.x24 - 2 * m.x33 - m.x34 + 80 * m.x35 + 90 * m.x36 + 285 * m.x37 + 390 * m.x38 + 290 * m.x39 + 405 * m.x40 - 5 * m.b95 - 4 * m.b96 - 8 * m.b97 - 7 * m.b98 - 6 * m.b99 - 9 * m.b100 - 10 * m.b101 - 9 * m.b102 - 6 * m.b103 - 10 * m.b104) m.e1 = Constraint(expr= m.x11 - m.x13 - m.x15 == 0) m.e2 = Constraint(expr= m.x12 - m.x14 - m.x16 == 0) m.e3 = Constraint(expr= -m.x17 - m.x19 + m.x21 == 0) m.e4 = Constraint(expr= -m.x18 - m.x20 + m.x22 == 0) m.e5 = Constraint(expr= m.x21 - m.x23 - m.x25 == 0) m.e6 = Constraint(expr= m.x22 - m.x24 - m.x26 == 0) m.e7 = Constraint(expr= m.x25 - m.x27 - m.x29 - m.x31 == 0) m.e8 = Constraint(expr= m.x26 - m.x28 - m.x30 - m.x32 == 0) m.e9 = Constraint(expr= (m.x49 / (1e-06 + m.b85) - log(m.x41 / (1e-06 + m.b85) + 1)) * (1e-06 + m.b85) <= 0) m.e10 = Constraint(expr= (m.x50 / (1e-06 + m.b86) - log(m.x42 / (1e-06 + m.b86) + 1)) * (1e-06 + m.b86) <= 0) m.e11 = Constraint(expr= m.x43 == 0) m.e12 = Constraint(expr= m.x44 == 0) m.e13 = Constraint(expr= m.x51 == 0) m.e14 = Constraint(expr= m.x52 == 0) m.e15 = Constraint(expr= m.x13 - m.x41 - m.x43 == 0) m.e16 = Constraint(expr= m.x14 - m.x42 - m.x44 == 0) m.e17 = Constraint(expr= m.x17 - m.x49 - m.x51 == 0) m.e18 = Constraint(expr= m.x18 - m.x50 - m.x52 == 0) m.e19 = Constraint(expr= m.x41 - 40 * m.b85 <= 0) m.e20 = Constraint(expr= m.x42 - 40 * m.b86 <= 0) m.e21 = Constraint(expr= m.x43 + 40 * m.b85 <= 40) m.e22 = Constraint(expr= m.x44 + 40 * m.b86 <= 40) m.e23 = Constraint(expr= m.x49 - 3.71357206670431 * m.b85 <= 0) m.e24 = Constraint(expr= m.x50 - 3.71357206670431 * m.b86 <= 0) m.e25 = Constraint(expr= m.x51 + 3.71357206670431 * m.b85 <= 3.71357206670431) m.e26 = Constraint(expr= m.x52 + 3.71357206670431 * m.b86 <= 3.71357206670431) m.e27 = Constraint(expr= (m.x53 / (1e-06 + m.b87) - 1.2 * log(m.x45 / (1e-06 + m.b87) + 1)) * (1e-06 + m.b87) <= 0) m.e28 = Constraint(expr= (m.x54 / (1e-06 + m.b88) - 1.2 * log(m.x46 / (1e-06 + m.b88) + 1)) * (1e-06 + m.b88) <= 0) m.e29 = Constraint(expr= m.x47 == 0) m.e30 = Constraint(expr= m.x48 == 0) m.e31 = Constraint(expr= m.x55 == 0) m.e32 = Constraint(expr= m.x56 == 0) m.e33 = Constraint(expr= m.x15 - m.x45 - m.x47 == 0) m.e34 = Constraint(expr= m.x16 - m.x46 - m.x48 == 0) m.e35 = Constraint(expr= m.x19 - m.x53 - m.x55 == 0) m.e36 = Constraint(expr= m.x20 - m.x54 - m.x56 == 0) m.e37 = Constraint(expr= m.x45 - 40 * m.b87 <= 0) m.e38 = Constraint(expr= m.x46 - 40 * m.b88 <= 0) m.e39 = Constraint(expr= m.x47 + 40 * m.b87 <= 40) m.e40 = Constraint(expr= m.x48 + 40 * m.b88 <= 40) m.e41 = Constraint(expr= m.x53 - 4.45628648004517 * m.b87 <= 0) m.e42 = Constraint(expr= m.x54 - 4.45628648004517 * m.b88 <= 0) m.e43 = Constraint(expr= m.x55 + 4.45628648004517 * m.b87 <= 4.45628648004517) m.e44 = Constraint(expr= m.x56 + 4.45628648004517 * m.b88 <= 4.45628648004517) m.e45 = Constraint(expr= -0.75 * m.x57 + m.x73 == 0) m.e46 = Constraint(expr= -0.75 * m.x58 + m.x74 == 0) m.e47 = Constraint(expr= m.x59 == 0) m.e48 = Constraint(expr= m.x60 == 0) m.e49 = Constraint(expr= m.x75 == 0) m.e50 = Constraint(expr= m.x76 == 0) m.e51 = Constraint(expr= m.x27 - m.x57 - m.x59 == 0) m.e52 = Constraint(expr= m.x28 - m.x58 - m.x60 == 0) m.e53 = Constraint(expr= m.x35 - m.x73 - m.x75 == 0) m.e54 = Constraint(expr= m.x36 - m.x74 - m.x76 == 0) m.e55 = Constraint(expr= m.x57 - 4.45628648004517 * m.b89 <= 0) m.e56 = Constraint(expr= m.x58 - 4.45628648004517 * m.b90 <= 0) m.e57 = Constraint(expr= m.x59 + 4.45628648004517 * m.b89 <= 4.45628648004517) m.e58 = Constraint(expr= m.x60 + 4.45628648004517 * m.b90 <= 4.45628648004517) m.e59 = Constraint(expr= m.x73 - 3.34221486003388 * m.b89 <= 0) m.e60 = Constraint(expr= m.x74 - 3.34221486003388 * m.b90 <= 0) m.e61 = Constraint(expr= m.x75 + 3.34221486003388 * m.b89 <= 3.34221486003388) m.e62 = Constraint(expr= m.x76 + 3.34221486003388 * m.b90 <= 3.34221486003388) m.e63 = Constraint(expr= (m.x77 / (1e-06 + m.b91) - 1.5 * log(m.x61 / (1e-06 + m.b91) + 1)) * (1e-06 + m.b91) <= 0) m.e64 = Constraint(expr= (m.x78 / (1e-06 + m.b92) - 1.5 * log(m.x62 / (1e-06 + m.b92) + 1)) * (1e-06 + m.b92) <= 0) m.e65 = Constraint(expr= m.x63 == 0) m.e66 = Constraint(expr= m.x64 == 0) m.e67 = Constraint(expr= m.x79 == 0) m.e68 = Constraint(expr= m.x80 == 0) m.e69 = Constraint(expr= m.x29 - m.x61 - m.x63 == 0) m.e70 = Constraint(expr= m.x30 - m.x62 - m.x64 == 0) m.e71 = Constraint(expr= m.x37 - m.x77 - m.x79 == 0) m.e72 = Constraint(expr= m.x38 - m.x78 - m.x80 == 0) m.e73 = Constraint(expr= m.x61 - 4.45628648004517 * m.b91 <= 0) m.e74 = Constraint(expr= m.x62 - 4.45628648004517 * m.b92 <= 0) m.e75 = Constraint(expr= m.x63 + 4.45628648004517 * m.b91 <= 4.45628648004517) m.e76 = Constraint(expr= m.x64 + 4.45628648004517 * m.b92 <= 4.45628648004517) m.e77 = Constraint(expr= m.x77 - 2.54515263975353 * m.b91 <= 0) m.e78 = Constraint(expr= m.x78 - 2.54515263975353 * m.b92 <= 0) m.e79 = Constraint(expr= m.x79 + 2.54515263975353 * m.b91 <= 2.54515263975353) m.e80 = Constraint(expr= m.x80 + 2.54515263975353 * m.b92 <= 2.54515263975353) m.e81 = Constraint(expr= -m.x65 + m.x81 == 0) m.e82 = Constraint(expr= -m.x66 + m.x82 == 0) m.e83 = Constraint(expr= -0.5 * m.x69 + m.x81 == 0) m.e84 = Constraint(expr= -0.5 * m.x70 + m.x82 == 0) m.e85 = Constraint(expr= m.x67 == 0) m.e86 = Constraint(expr= m.x68 == 0) m.e87 = Constraint(expr= m.x71 == 0) m.e88 = Constraint(expr= m.x72 == 0) m.e89 = Constraint(expr= m.x83 == 0) m.e90 = Constraint(expr= m.x84 == 0) m.e91 = Constraint(expr= m.x31 - m.x65 - m.x67 == 0) m.e92 = Constraint(expr= m.x32 - m.x66 - m.x68 == 0) m.e93 = Constraint(expr= m.x33 - m.x69 - m.x71 == 0) m.e94 = Constraint(expr= m.x34 - m.x70 - m.x72 == 0) m.e95 = Constraint(expr= m.x39 - m.x81 - m.x83 == 0) m.e96 = Constraint(expr= m.x40 - m.x82 - m.x84 == 0) m.e97 = Constraint(expr= m.x65 - 4.45628648004517 * m.b93 <= 0) m.e98 = Constraint(expr= m.x66 - 4.45628648004517 * m.b94 <= 0) m.e99 = Constraint(expr= m.x67 + 4.45628648004517 * m.b93 <= 4.45628648004517) m.e100 = Constraint(expr= m.x68 + 4.45628648004517 * m.b94 <= 4.45628648004517) m.e101 = Constraint(expr= m.x69 - 30 * m.b93 <= 0) m.e102 = Constraint(expr= m.x70 - 30 * m.b94 <= 0) m.e103 = Constraint(expr= m.x71 + 30 * m.b93 <= 30) m.e104 = Constraint(expr= m.x72 + 30 * m.b94 <= 30) m.e105 = Constraint(expr= m.x81 - 15 * m.b93 <= 0) m.e106 = Constraint(expr= m.x82 - 15 * m.b94 <= 0) m.e107 = Constraint(expr= m.x83 + 15 * m.b93 <= 15) m.e108 = Constraint(expr= m.x84 + 15 * m.b94 <= 15) m.e109 = Constraint(expr= m.x1 + 5 * m.b95 == 0) m.e110 = Constraint(expr= m.x2 + 4 * m.b96 == 0) m.e111 = Constraint(expr= m.x3 + 8 * m.b97 == 0) m.e112 = Constraint(expr= m.x4 + 7 * m.b98 == 0) m.e113 = Constraint(expr= m.x5 + 6 * m.b99 == 0) m.e114 = Constraint(expr= m.x6 + 9 * m.b100 == 0) m.e115 = Constraint(expr= m.x7 + 10 * m.b101 == 0) m.e116 = Constraint(expr= m.x8 + 9 * m.b102 == 0) m.e117 = Constraint(expr= m.x9 + 6 * m.b103 == 0) m.e118 = Constraint(expr= m.x10 + 10 * m.b104 == 0) m.e119 = Constraint(expr= m.b85 - m.b86 <= 0) m.e120 = Constraint(expr= m.b87 - m.b88 <= 0) m.e121 = Constraint(expr= m.b89 - m.b90 <= 0) m.e122 = Constraint(expr= m.b91 - m.b92 <= 0) m.e123 = Constraint(expr= m.b93 - m.b94 <= 0) m.e124 = Constraint(expr= m.b95 + m.b96 <= 1) m.e125 = Constraint(expr= m.b95 + m.b96 <= 1) m.e126 = Constraint(expr= m.b97 + m.b98 <= 1) m.e127 = Constraint(expr= m.b97 + m.b98 <= 1) m.e128 = Constraint(expr= m.b99 + m.b100 <= 1) m.e129 = Constraint(expr= m.b99 + m.b100 <= 1) m.e130 = Constraint(expr= m.b101 + m.b102 <= 1) m.e131 = Constraint(expr= m.b101 + m.b102 <= 1) m.e132 = Constraint(expr= m.b103 + m.b104 <= 1) m.e133 = Constraint(expr= m.b103 + m.b104 <= 1) m.e134 = Constraint(expr= m.b85 - m.b95 <= 0) m.e135 = Constraint(expr= -m.b85 + m.b86 - m.b96 <= 0) m.e136 = Constraint(expr= m.b87 - m.b97 <= 0) m.e137 = Constraint(expr= -m.b87 + m.b88 - m.b98 <= 0) m.e138 = Constraint(expr= m.b89 - m.b99 <= 0) m.e139 = Constraint(expr= -m.b89 + m.b90 - m.b100 <= 0) m.e140 = Constraint(expr= m.b91 - m.b101 <= 0) m.e141 = Constraint(expr= -m.b91 + m.b92 - m.b102 <= 0) m.e142 = Constraint(expr= m.b93 - m.b103 <= 0) m.e143 = Constraint(expr= -m.b93 + m.b94 - m.b104 <= 0) m.e144 = Constraint(expr= m.b85 + m.b87 == 1) m.e145 = Constraint(expr= m.b86 + m.b88 == 1) m.e146 = Constraint(expr= m.b85 + m.b87 - m.b89 >= 0) m.e147 = Constraint(expr= m.b86 + m.b88 - m.b90 >= 0) m.e148 = Constraint(expr= m.b85 + m.b87 - m.b91 >= 0) m.e149 = Constraint(expr= m.b86 + m.b88 - m.b92 >= 0) m.e150 = Constraint(expr= m.b85 + m.b87 - m.b93 >= 0) m.e151 = Constraint(expr= m.b86 + m.b88 - m.b94 >= 0)