# MINLP written by GAMS Convert at 02/17/22 17:18:21 # # Equation counts # Total E G L N X C B # 103 71 8 24 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 90 84 6 0 0 0 0 0 # FX 1 # # Nonzero counts # Total const NL # 334 242 92 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0.95,1), initialize=0.95) m.x2 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x3 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x4 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x5 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x6 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x7 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) 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=(0.001,10), initialize=0.001) m.x15 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x16 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x17 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x18 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x19 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x20 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x21 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x22 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x23 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x24 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x25 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x26 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x27 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) 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=(0.001,10), initialize=0.001) m.x35 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x36 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x37 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x38 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x39 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x40 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x41 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x42 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x43 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x44 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x45 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x46 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x47 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x48 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x49 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x50 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x51 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x52 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x53 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x54 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x55 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x56 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x57 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x58 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x59 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x60 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x61 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x62 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x63 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x64 = Var(within=Reals, bounds=(0.001,10), initialize=0.001) m.x65 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x66 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x67 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x68 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x69 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x70 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x71 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x72 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x73 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x74 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x75 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x76 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x77 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x78 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x79 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x80 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x81 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05) m.x82 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x83 = Var(within=Reals, bounds=(-10,10), initialize=0) m.x84 = Var(within=Reals, bounds=(-10,10), initialize=0) m.b85 = Var(within=Binary, bounds=(1,1), initialize=1) 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.obj = Objective(sense=maximize, expr= m.x1) m.e1 = Constraint(expr= -m.x8 + 0.001 * m.b85 <= 0) m.e2 = Constraint(expr= -m.x9 + 0.001 * m.b86 <= 0) m.e3 = Constraint(expr= -m.x10 + 0.001 * m.b87 <= 0) m.e4 = Constraint(expr= -m.x11 + 0.001 * m.b88 <= 0) m.e5 = Constraint(expr= -m.x12 + 0.001 * m.b89 <= 0) m.e6 = Constraint(expr= -m.x13 + 0.001 * m.b90 <= 0) m.e7 = Constraint(expr= m.x8 - 10 * m.b85 <= 0) m.e8 = Constraint(expr= m.x9 - 10 * m.b86 <= 0) m.e9 = Constraint(expr= m.x10 - 10 * m.b87 <= 0) m.e10 = Constraint(expr= m.x11 - 10 * m.b88 <= 0) m.e11 = Constraint(expr= m.x12 - 10 * m.b89 <= 0) m.e12 = Constraint(expr= m.x13 - 10 * m.b90 <= 0) m.e13 = Constraint(expr= -m.x28 + 0.001 * m.b85 <= 0) m.e14 = Constraint(expr= -m.x29 + 0.001 * m.b86 <= 0) m.e15 = Constraint(expr= -m.x30 + 0.001 * m.b87 <= 0) m.e16 = Constraint(expr= -m.x31 + 0.001 * m.b88 <= 0) m.e17 = Constraint(expr= -m.x32 + 0.001 * m.b89 <= 0) m.e18 = Constraint(expr= -m.x33 + 0.001 * m.b90 <= 0) m.e19 = Constraint(expr= m.x28 - 10 * m.b85 <= 0) m.e20 = Constraint(expr= m.x29 - 10 * m.b86 <= 0) m.e21 = Constraint(expr= m.x30 - 10 * m.b87 <= 0) m.e22 = Constraint(expr= m.x31 - 10 * m.b88 <= 0) m.e23 = Constraint(expr= m.x32 - 10 * m.b89 <= 0) m.e24 = Constraint(expr= m.x33 - 10 * m.b90 <= 0) m.e25 = Constraint(expr= m.b85 - m.b86 >= 0) m.e26 = Constraint(expr= m.b86 - m.b87 >= 0) m.e27 = Constraint(expr= m.b87 - m.b88 >= 0) m.e28 = Constraint(expr= m.b88 - m.b89 >= 0) m.e29 = Constraint(expr= m.b89 - m.b90 >= 0) m.e30 = Constraint(expr= -1e+07 * m.x2 + 1e+07 * m.x8 + m.x14 == 0) m.e31 = Constraint(expr= 2e+06 * m.x1 * m.x2 - 1e+06 * m.x3 + 1e+06 * m.x9 + m.x15 == 0) m.e32 = Constraint(expr= 2e+05 * m.x1 * m.x3 - 1e+05 * m.x2 - 1e+05 * m.x4 - 1e+05 * m.x8 + 1e+05 * m.x10 + m.x16 == 0) m.e33 = Constraint(expr= 2e+04 * m.x1 * m.x4 - 1e+04 * m.x3 - 1e+04 * m.x5 - 1e+04 * m.x9 + 1e+04 * m.x11 + m.x17 == 0) m.e34 = Constraint(expr= 2000 * m.x1 * m.x5 - 1000 * m.x4 - 1000 * m.x6 - 1000 * m.x10 + 1000 * m.x12 + m.x18 == 0) m.e35 = Constraint(expr= 200 * m.x1 * m.x6 - 100 * m.x5 - 100 * m.x7 - 100 * m.x11 + 100 * m.x13 + m.x19 == 0) m.e36 = Constraint(expr= 20 * m.x1 * m.x7 - 10 * m.x6 - 10 * m.x12 + m.x20 == 0) m.e37 = Constraint(expr= -m.x7 - m.x13 + m.x21 == 0) m.e38 = Constraint(expr= -m.x2 + 1e-05 * m.x3 - 1e-10 * m.x4 + m.x22 == 0) m.e39 = Constraint(expr= -m.x3 + 2e-05 * m.x4 - 3e-10 * m.x5 + m.x23 == 0) m.e40 = Constraint(expr= -m.x4 + 3e-05 * m.x5 - 6e-10 * m.x6 + m.x24 == 0) m.e41 = Constraint(expr= -m.x5 + 4e-05 * m.x6 - 1e-09 * m.x7 + m.x25 == 0) m.e42 = Constraint(expr= -m.x6 + 5e-05 * m.x7 + m.x26 == 0) m.e43 = Constraint(expr= -m.x7 + m.x27 == 0) m.e44 = Constraint(expr= -m.x8 + 1e-05 * m.x9 - 1e-10 * m.x10 + m.x28 == 0) m.e45 = Constraint(expr= -m.x9 + 2e-05 * m.x10 - 3e-10 * m.x11 + m.x29 == 0) m.e46 = Constraint(expr= -m.x10 + 3e-05 * m.x11 - 6e-10 * m.x12 + m.x30 == 0) m.e47 = Constraint(expr= -m.x11 + 4e-05 * m.x12 - 1e-09 * m.x13 + m.x31 == 0) m.e48 = Constraint(expr= -m.x12 + 5e-05 * m.x13 + m.x32 == 0) m.e49 = Constraint(expr= -m.x13 + m.x33 == 0) m.e50 = Constraint(expr= -m.x14 + 1e-05 * m.x15 - 1e-10 * m.x16 + m.x34 == 0) m.e51 = Constraint(expr= -m.x15 + 2e-05 * m.x16 - 3e-10 * m.x17 + m.x35 == 0) m.e52 = Constraint(expr= -m.x16 + 3e-05 * m.x17 - 6e-10 * m.x18 + m.x36 == 0) m.e53 = Constraint(expr= -m.x17 + 4e-05 * m.x18 - 1e-09 * m.x19 + m.x37 == 0) m.e54 = Constraint(expr= -m.x18 + 5e-05 * m.x19 - 1.5e-09 * m.x20 + m.x38 == 0) m.e55 = Constraint(expr= -m.x19 + 6e-05 * m.x20 - 2.1e-09 * m.x21 + m.x39 == 0) m.e56 = Constraint(expr= -m.x20 + 7e-05 * m.x21 + m.x40 == 0) m.e57 = Constraint(expr= -m.x21 + m.x41 == 0) m.e58 = Constraint(expr= -m.x27 + m.x42 == 0) m.e59 = Constraint(expr= -m.x25 + m.x43 == 0) m.e60 = Constraint(expr= -m.x23 + m.x44 == 0) m.e61 = Constraint(expr= -m.x26 + m.x45 == 0) m.e62 = Constraint(expr= -m.x24 + m.x46 == 0) m.e63 = Constraint(expr= -m.x22 + m.x47 == 0) m.e64 = Constraint(expr= m.x46 * m.x42 / m.x45 - m.x43 + m.x48 == 0) m.e65 = Constraint(expr= m.x47 * m.x42 / m.x45 - m.x44 + m.x49 == 0) m.e66 = Constraint(expr= m.x49 * m.x45 / m.x48 - m.x46 + m.x51 == 0) m.e67 = Constraint(expr= m.x50 * m.x45 / m.x48 - m.x47 + m.x52 == 0) m.e68 = Constraint(expr= m.x52 * m.x48 / m.x51 - m.x49 + m.x54 == 0) m.e69 = Constraint(expr= m.x53 * m.x48 / m.x51 - m.x50 + m.x55 == 0) m.e70 = Constraint(expr= m.x50 == 0) m.e71 = Constraint(expr= m.x53 == 0) m.e72 = Constraint(expr= m.x56 == 0) m.e73 = Constraint(expr= -m.x41 + m.x57 == 0) m.e74 = Constraint(expr= -m.x39 + m.x58 == 0) m.e75 = Constraint(expr= -m.x37 + m.x59 == 0) m.e76 = Constraint(expr= -m.x35 + m.x60 == 0) m.e77 = Constraint(expr= -m.x40 + m.x61 == 0) m.e78 = Constraint(expr= -m.x38 + m.x62 == 0) m.e79 = Constraint(expr= -m.x36 + m.x63 == 0) m.e80 = Constraint(expr= -m.x34 + m.x64 == 0) m.e81 = Constraint(expr= m.x62 * m.x57 / m.x61 - m.x58 + m.x65 == 0) m.e82 = Constraint(expr= m.x63 * m.x57 / m.x61 - m.x59 + m.x66 == 0) m.e83 = Constraint(expr= m.x64 * m.x57 / m.x61 - m.x60 + m.x67 == 0) m.e84 = Constraint(expr= m.x66 * m.x61 / m.x65 - m.x62 + m.x69 == 0) m.e85 = Constraint(expr= m.x67 * m.x61 / m.x65 - m.x63 + m.x70 == 0) m.e86 = Constraint(expr= m.x68 * m.x61 / m.x65 - m.x64 + m.x71 == 0) m.e87 = Constraint(expr= m.x70 * m.x65 / m.x69 - m.x66 + m.x73 == 0) m.e88 = Constraint(expr= m.x71 * m.x65 / m.x69 - m.x67 + m.x74 == 0) m.e89 = Constraint(expr= m.x72 * m.x65 / m.x69 - m.x68 + m.x75 == 0) m.e90 = Constraint(expr= m.x74 * m.x69 / m.x73 - m.x70 + m.x77 == 0) m.e91 = Constraint(expr= m.x75 * m.x69 / m.x73 - m.x71 + m.x78 == 0) m.e92 = Constraint(expr= m.x76 * m.x69 / m.x73 - m.x72 + m.x79 == 0) m.e93 = Constraint(expr= m.x78 * m.x73 / m.x77 - m.x74 + m.x81 == 0) m.e94 = Constraint(expr= m.x79 * m.x73 / m.x77 - m.x75 + m.x82 == 0) m.e95 = Constraint(expr= m.x80 * m.x73 / m.x77 - m.x76 + m.x83 == 0) m.e96 = Constraint(expr= m.x68 == 0) m.e97 = Constraint(expr= m.x72 == 0) m.e98 = Constraint(expr= m.x76 == 0) m.e99 = Constraint(expr= m.x80 == 0) m.e100 = Constraint(expr= m.x84 == 0) m.e101 = Constraint(expr= m.x31 * m.x32 - m.x30 * m.x33 - 1e-05 * m.b90 >= 0) m.e102 = Constraint(expr= m.x30 * m.x31 * m.x32 - m.x30 * m.x30 * m.x33 + m.x28 * m.x32 * m.x33 - m.x29 * m.x32 * m.x32 - 1e-05 * m.b89 >= 0) m.e103 = Constraint(expr= m.x29 * m.x30 * m.x31 * m.x32 - m.x29 * m.x30**2 * m.x33 - m.x29**2 * m.x32**2 + 2 * m.x28 * m.x29 * m.x32 * m.x33 + m.x28 * m.x30 * m.x31 * m.x33 - m.x28**2 * m.x33**2 - m.x28 * m.x31**2 * m.x32 + ( m.x29 * m.x30 - m.x28 * m.x31) * (1 - m.b89) - 1e-05 * m.b88 >= 0)