# MINLP written by GAMS Convert at 02/17/22 17:22:58 # # Equation counts # Total E G L N X C B # 174 15 33 126 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 90 60 30 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 414 405 9 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,40), initialize=0) m.x2 = Var(within=Reals, bounds=(0,40), initialize=0) m.x3 = Var(within=Reals, bounds=(0,40), initialize=0) m.x4 = Var(within=Reals, bounds=(0,None), initialize=0) m.x5 = Var(within=Reals, bounds=(0,None), initialize=0) m.x6 = Var(within=Reals, bounds=(0,None), initialize=0) m.x7 = Var(within=Reals, bounds=(0,None), initialize=0) m.x8 = Var(within=Reals, bounds=(0,None), initialize=0) m.x9 = Var(within=Reals, bounds=(0,None), initialize=0) m.x10 = Var(within=Reals, bounds=(0,None), initialize=0) m.x11 = Var(within=Reals, bounds=(0,None), initialize=0) m.x12 = Var(within=Reals, bounds=(0,None), 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,None), initialize=0) m.x34 = Var(within=Reals, bounds=(0,30), initialize=0) m.x35 = Var(within=Reals, bounds=(0,30), initialize=0) m.x36 = Var(within=Reals, bounds=(0,30), 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.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.x76 = Var(within=Reals, bounds=(None,None), initialize=0) m.x77 = Var(within=Reals, bounds=(None,None), initialize=0) m.x78 = Var(within=Reals, bounds=(None,None), initialize=0) m.x79 = Var(within=Reals, bounds=(None,None), initialize=0) m.x80 = Var(within=Reals, bounds=(None,None), initialize=0) m.x81 = Var(within=Reals, bounds=(None,None), initialize=0) m.x82 = Var(within=Reals, bounds=(None,None), initialize=0) m.x83 = Var(within=Reals, bounds=(None,None), initialize=0) m.x84 = Var(within=Reals, bounds=(None,None), initialize=0) m.x85 = Var(within=Reals, bounds=(None,None), initialize=0) m.x86 = Var(within=Reals, bounds=(None,None), initialize=0) m.x87 = Var(within=Reals, bounds=(None,None), initialize=0) m.x88 = Var(within=Reals, bounds=(None,None), initialize=0) m.x89 = Var(within=Reals, bounds=(None,None), initialize=0) m.x90 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=maximize, expr= -m.x1 - m.x2 - m.x3 + 5 * m.x19 + 10 * m.x20 + 5 * m.x21 - 2 * m.x34 - m.x35 - 2 * m.x36 + 80 * m.x37 + 90 * m.x38 + 120 * m.x39 + 285 * m.x40 + 390 * m.x41 + 350 * m.x42 + 290 * m.x43 + 405 * m.x44 + 190 * m.x45 - 5 * m.b61 - 4 * m.b62 - 6 * m.b63 - 8 * m.b64 - 7 * m.b65 - 6 * m.b66 - 6 * m.b67 - 9 * m.b68 - 4 * m.b69 - 10 * m.b70 - 9 * m.b71 - 5 * m.b72 - 6 * m.b73 - 10 * m.b74 - 6 * m.b75) m.e1 = Constraint(expr= m.x1 - m.x4 - m.x7 == 0) m.e2 = Constraint(expr= m.x2 - m.x5 - m.x8 == 0) m.e3 = Constraint(expr= m.x3 - m.x6 - m.x9 == 0) m.e4 = Constraint(expr= -m.x10 - m.x13 + m.x16 == 0) m.e5 = Constraint(expr= -m.x11 - m.x14 + m.x17 == 0) m.e6 = Constraint(expr= -m.x12 - m.x15 + m.x18 == 0) m.e7 = Constraint(expr= m.x16 - m.x19 - m.x22 == 0) m.e8 = Constraint(expr= m.x17 - m.x20 - m.x23 == 0) m.e9 = Constraint(expr= m.x18 - m.x21 - m.x24 == 0) m.e10 = Constraint(expr= m.x22 - m.x25 - m.x28 - m.x31 == 0) m.e11 = Constraint(expr= m.x23 - m.x26 - m.x29 - m.x32 == 0) m.e12 = Constraint(expr= m.x24 - m.x27 - m.x30 - m.x33 == 0) m.e13 = Constraint(expr= -log(1 + m.x4) + m.x10 + m.b46 <= 1) m.e14 = Constraint(expr= -log(1 + m.x5) + m.x11 + m.b47 <= 1) m.e15 = Constraint(expr= -log(1 + m.x6) + m.x12 + m.b48 <= 1) m.e16 = Constraint(expr= m.x4 - 40 * m.b46 <= 0) m.e17 = Constraint(expr= m.x5 - 40 * m.b47 <= 0) m.e18 = Constraint(expr= m.x6 - 40 * m.b48 <= 0) m.e19 = Constraint(expr= m.x10 - 3.71357206670431 * m.b46 <= 0) m.e20 = Constraint(expr= m.x11 - 3.71357206670431 * m.b47 <= 0) m.e21 = Constraint(expr= m.x12 - 3.71357206670431 * m.b48 <= 0) m.e22 = Constraint(expr= -1.2 * log(1 + m.x7) + m.x13 + m.b49 <= 1) m.e23 = Constraint(expr= -1.2 * log(1 + m.x8) + m.x14 + m.b50 <= 1) m.e24 = Constraint(expr= -1.2 * log(1 + m.x9) + m.x15 + m.b51 <= 1) m.e25 = Constraint(expr= m.x7 - 40 * m.b49 <= 0) m.e26 = Constraint(expr= m.x8 - 40 * m.b50 <= 0) m.e27 = Constraint(expr= m.x9 - 40 * m.b51 <= 0) m.e28 = Constraint(expr= m.x13 - 4.45628648004517 * m.b49 <= 0) m.e29 = Constraint(expr= m.x14 - 4.45628648004517 * m.b50 <= 0) m.e30 = Constraint(expr= m.x15 - 4.45628648004517 * m.b51 <= 0) m.e31 = Constraint(expr= -0.75 * m.x25 + m.x37 + m.b52 <= 1) m.e32 = Constraint(expr= -0.75 * m.x26 + m.x38 + m.b53 <= 1) m.e33 = Constraint(expr= -0.75 * m.x27 + m.x39 + m.b54 <= 1) m.e34 = Constraint(expr= -0.75 * m.x25 + m.x37 - m.b52 >= -1) m.e35 = Constraint(expr= -0.75 * m.x26 + m.x38 - m.b53 >= -1) m.e36 = Constraint(expr= -0.75 * m.x27 + m.x39 - m.b54 >= -1) m.e37 = Constraint(expr= m.x25 - 4.45628648004517 * m.b52 <= 0) m.e38 = Constraint(expr= m.x26 - 4.45628648004517 * m.b53 <= 0) m.e39 = Constraint(expr= m.x27 - 4.45628648004517 * m.b54 <= 0) m.e40 = Constraint(expr= m.x37 - 3.34221486003388 * m.b52 <= 0) m.e41 = Constraint(expr= m.x38 - 3.34221486003388 * m.b53 <= 0) m.e42 = Constraint(expr= m.x39 - 3.34221486003388 * m.b54 <= 0) m.e43 = Constraint(expr= -1.5 * log(1 + m.x28) + m.x40 + m.b55 <= 1) m.e44 = Constraint(expr= -1.5 * log(1 + m.x29) + m.x41 + m.b56 <= 1) m.e45 = Constraint(expr= -1.5 * log(1 + m.x30) + m.x42 + m.b57 <= 1) m.e46 = Constraint(expr= m.x28 - 4.45628648004517 * m.b55 <= 0) m.e47 = Constraint(expr= m.x29 - 4.45628648004517 * m.b56 <= 0) m.e48 = Constraint(expr= m.x30 - 4.45628648004517 * m.b57 <= 0) m.e49 = Constraint(expr= m.x40 - 2.54515263975353 * m.b55 <= 0) m.e50 = Constraint(expr= m.x41 - 2.54515263975353 * m.b56 <= 0) m.e51 = Constraint(expr= m.x42 - 2.54515263975353 * m.b57 <= 0) m.e52 = Constraint(expr= -m.x31 + m.x43 + m.b58 <= 1) m.e53 = Constraint(expr= -m.x32 + m.x44 + m.b59 <= 1) m.e54 = Constraint(expr= -m.x33 + m.x45 + m.b60 <= 1) m.e55 = Constraint(expr= -m.x31 + m.x43 - m.b58 >= -1) m.e56 = Constraint(expr= -m.x32 + m.x44 - m.b59 >= -1) m.e57 = Constraint(expr= -m.x33 + m.x45 - m.b60 >= -1) m.e58 = Constraint(expr= -0.5 * m.x34 + m.x43 + m.b58 <= 1) m.e59 = Constraint(expr= -0.5 * m.x35 + m.x44 + m.b59 <= 1) m.e60 = Constraint(expr= -0.5 * m.x36 + m.x45 + m.b60 <= 1) m.e61 = Constraint(expr= -0.5 * m.x34 + m.x43 - m.b58 >= -1) m.e62 = Constraint(expr= -0.5 * m.x35 + m.x44 - m.b59 >= -1) m.e63 = Constraint(expr= -0.5 * m.x36 + m.x45 - m.b60 >= -1) m.e64 = Constraint(expr= m.x31 - 4.45628648004517 * m.b58 <= 0) m.e65 = Constraint(expr= m.x32 - 4.45628648004517 * m.b59 <= 0) m.e66 = Constraint(expr= m.x33 - 4.45628648004517 * m.b60 <= 0) m.e67 = Constraint(expr= m.x34 - 30 * m.b58 <= 0) m.e68 = Constraint(expr= m.x35 - 30 * m.b59 <= 0) m.e69 = Constraint(expr= m.x36 - 30 * m.b60 <= 0) m.e70 = Constraint(expr= m.x43 - 15 * m.b58 <= 0) m.e71 = Constraint(expr= m.x44 - 15 * m.b59 <= 0) m.e72 = Constraint(expr= m.x45 - 15 * m.b60 <= 0) m.e73 = Constraint(expr= 5 * m.b61 + m.x76 <= 0) m.e74 = Constraint(expr= 4 * m.b62 + m.x77 <= 0) m.e75 = Constraint(expr= 6 * m.b63 + m.x78 <= 0) m.e76 = Constraint(expr= 8 * m.b64 + m.x79 <= 0) m.e77 = Constraint(expr= 7 * m.b65 + m.x80 <= 0) m.e78 = Constraint(expr= 6 * m.b66 + m.x81 <= 0) m.e79 = Constraint(expr= 6 * m.b67 + m.x82 <= 0) m.e80 = Constraint(expr= 9 * m.b68 + m.x83 <= 0) m.e81 = Constraint(expr= 4 * m.b69 + m.x84 <= 0) m.e82 = Constraint(expr= 10 * m.b70 + m.x85 <= 0) m.e83 = Constraint(expr= 9 * m.b71 + m.x86 <= 0) m.e84 = Constraint(expr= 5 * m.b72 + m.x87 <= 0) m.e85 = Constraint(expr= 6 * m.b73 + m.x88 <= 0) m.e86 = Constraint(expr= 10 * m.b74 + m.x89 <= 0) m.e87 = Constraint(expr= 6 * m.b75 + m.x90 <= 0) m.e88 = Constraint(expr= 5 * m.b61 + m.x76 >= 0) m.e89 = Constraint(expr= 4 * m.b62 + m.x77 >= 0) m.e90 = Constraint(expr= 6 * m.b63 + m.x78 >= 0) m.e91 = Constraint(expr= 8 * m.b64 + m.x79 >= 0) m.e92 = Constraint(expr= 7 * m.b65 + m.x80 >= 0) m.e93 = Constraint(expr= 6 * m.b66 + m.x81 >= 0) m.e94 = Constraint(expr= 6 * m.b67 + m.x82 >= 0) m.e95 = Constraint(expr= 9 * m.b68 + m.x83 >= 0) m.e96 = Constraint(expr= 4 * m.b69 + m.x84 >= 0) m.e97 = Constraint(expr= 10 * m.b70 + m.x85 >= 0) m.e98 = Constraint(expr= 9 * m.b71 + m.x86 >= 0) m.e99 = Constraint(expr= 5 * m.b72 + m.x87 >= 0) m.e100 = Constraint(expr= 6 * m.b73 + m.x88 >= 0) m.e101 = Constraint(expr= 10 * m.b74 + m.x89 >= 0) m.e102 = Constraint(expr= 6 * m.b75 + m.x90 >= 0) m.e103 = Constraint(expr= m.b46 - m.b47 <= 0) m.e104 = Constraint(expr= m.b46 - m.b48 <= 0) m.e105 = Constraint(expr= m.b47 - m.b48 <= 0) m.e106 = Constraint(expr= m.b49 - m.b50 <= 0) m.e107 = Constraint(expr= m.b49 - m.b51 <= 0) m.e108 = Constraint(expr= m.b50 - m.b51 <= 0) m.e109 = Constraint(expr= m.b52 - m.b53 <= 0) m.e110 = Constraint(expr= m.b52 - m.b54 <= 0) m.e111 = Constraint(expr= m.b53 - m.b54 <= 0) m.e112 = Constraint(expr= m.b55 - m.b56 <= 0) m.e113 = Constraint(expr= m.b55 - m.b57 <= 0) m.e114 = Constraint(expr= m.b56 - m.b57 <= 0) m.e115 = Constraint(expr= m.b58 - m.b59 <= 0) m.e116 = Constraint(expr= m.b58 - m.b60 <= 0) m.e117 = Constraint(expr= m.b59 - m.b60 <= 0) m.e118 = Constraint(expr= m.b61 + m.b62 <= 1) m.e119 = Constraint(expr= m.b61 + m.b63 <= 1) m.e120 = Constraint(expr= m.b61 + m.b62 <= 1) m.e121 = Constraint(expr= m.b62 + m.b63 <= 1) m.e122 = Constraint(expr= m.b61 + m.b63 <= 1) m.e123 = Constraint(expr= m.b62 + m.b63 <= 1) m.e124 = Constraint(expr= m.b64 + m.b65 <= 1) m.e125 = Constraint(expr= m.b64 + m.b66 <= 1) m.e126 = Constraint(expr= m.b64 + m.b65 <= 1) m.e127 = Constraint(expr= m.b65 + m.b66 <= 1) m.e128 = Constraint(expr= m.b64 + m.b66 <= 1) m.e129 = Constraint(expr= m.b65 + m.b66 <= 1) m.e130 = Constraint(expr= m.b67 + m.b68 <= 1) m.e131 = Constraint(expr= m.b67 + m.b69 <= 1) m.e132 = Constraint(expr= m.b67 + m.b68 <= 1) m.e133 = Constraint(expr= m.b68 + m.b69 <= 1) m.e134 = Constraint(expr= m.b67 + m.b69 <= 1) m.e135 = Constraint(expr= m.b68 + m.b69 <= 1) m.e136 = Constraint(expr= m.b70 + m.b71 <= 1) m.e137 = Constraint(expr= m.b70 + m.b72 <= 1) m.e138 = Constraint(expr= m.b70 + m.b71 <= 1) m.e139 = Constraint(expr= m.b71 + m.b72 <= 1) m.e140 = Constraint(expr= m.b70 + m.b72 <= 1) m.e141 = Constraint(expr= m.b71 + m.b72 <= 1) m.e142 = Constraint(expr= m.b73 + m.b74 <= 1) m.e143 = Constraint(expr= m.b73 + m.b75 <= 1) m.e144 = Constraint(expr= m.b73 + m.b74 <= 1) m.e145 = Constraint(expr= m.b74 + m.b75 <= 1) m.e146 = Constraint(expr= m.b73 + m.b75 <= 1) m.e147 = Constraint(expr= m.b74 + m.b75 <= 1) m.e148 = Constraint(expr= m.b46 - m.b61 <= 0) m.e149 = Constraint(expr= -m.b46 + m.b47 - m.b62 <= 0) m.e150 = Constraint(expr= -m.b46 - m.b47 + m.b48 - m.b63 <= 0) m.e151 = Constraint(expr= m.b49 - m.b64 <= 0) m.e152 = Constraint(expr= -m.b49 + m.b50 - m.b65 <= 0) m.e153 = Constraint(expr= -m.b49 - m.b50 + m.b51 - m.b66 <= 0) m.e154 = Constraint(expr= m.b52 - m.b67 <= 0) m.e155 = Constraint(expr= -m.b52 + m.b53 - m.b68 <= 0) m.e156 = Constraint(expr= -m.b52 - m.b53 + m.b54 - m.b69 <= 0) m.e157 = Constraint(expr= m.b55 - m.b70 <= 0) m.e158 = Constraint(expr= -m.b55 + m.b56 - m.b71 <= 0) m.e159 = Constraint(expr= -m.b55 - m.b56 + m.b57 - m.b72 <= 0) m.e160 = Constraint(expr= m.b58 - m.b73 <= 0) m.e161 = Constraint(expr= -m.b58 + m.b59 - m.b74 <= 0) m.e162 = Constraint(expr= -m.b58 - m.b59 + m.b60 - m.b75 <= 0) m.e163 = Constraint(expr= m.b46 + m.b49 == 1) m.e164 = Constraint(expr= m.b47 + m.b50 == 1) m.e165 = Constraint(expr= m.b48 + m.b51 == 1) m.e166 = Constraint(expr= m.b46 + m.b49 - m.b52 >= 0) m.e167 = Constraint(expr= m.b47 + m.b50 - m.b53 >= 0) m.e168 = Constraint(expr= m.b48 + m.b51 - m.b54 >= 0) m.e169 = Constraint(expr= m.b46 + m.b49 - m.b55 >= 0) m.e170 = Constraint(expr= m.b47 + m.b50 - m.b56 >= 0) m.e171 = Constraint(expr= m.b48 + m.b51 - m.b57 >= 0) m.e172 = Constraint(expr= m.b46 + m.b49 - m.b58 >= 0) m.e173 = Constraint(expr= m.b47 + m.b50 - m.b59 >= 0) m.e174 = Constraint(expr= m.b48 + m.b51 - m.b60 >= 0)