# NLP written by GAMS Convert at 02/17/22 17:19:48 # # Equation counts # Total E G L N X C B # 44 41 3 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 64 64 0 0 0 0 0 0 # FX 5 # # Nonzero counts # Total const NL # 140 116 24 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(None,None), initialize=-0.656505736) m.x2 = Var(within=Reals, bounds=(None,None), initialize=0.686533416) m.x3 = Var(within=Reals, bounds=(None,None), initialize=0.100750712) m.x4 = Var(within=Reals, bounds=(None,None), initialize=-0.397724192) m.x5 = Var(within=Reals, bounds=(None,None), initialize=-0.415575766) m.x6 = Var(within=Reals, bounds=(None,None), initialize=-0.551894266) m.x7 = Var(within=Reals, bounds=(None,None), initialize=-0.300338992) m.x8 = Var(within=Reals, bounds=(None,None), initialize=0.712540694) m.x9 = Var(within=Reals, bounds=(None,None), initialize=-0.865772554) m.x10 = Var(within=Reals, bounds=(0,None), initialize=0.000421337999999993) m.x11 = Var(within=Reals, bounds=(0,None), initialize=0.996235254) m.x12 = Var(within=Reals, bounds=(None,None), initialize=0.157466756) m.x13 = Var(within=Reals, bounds=(None,None), initialize=0.982266078) m.x14 = Var(within=Reals, bounds=(None,None), initialize=0.524500934) m.x15 = Var(within=Reals, bounds=(None,None), initialize=-0.738615034) m.x16 = Var(within=Reals, bounds=(None,None), initialize=0.279437518) m.x17 = Var(within=Reals, bounds=(None,None), initialize=-0.680964272) m.x18 = Var(within=Reals, bounds=(None,None), initialize=-0.499838934) m.x19 = Var(within=Reals, bounds=(None,None), initialize=0.337857218) m.x20 = Var(within=Reals, bounds=(None,None), initialize=-0.129287238) m.x21 = Var(within=Reals, bounds=(None,None), initialize=-0.280599468) m.x22 = Var(within=Reals, bounds=(0,None), initialize=0) m.x23 = Var(within=Reals, bounds=(None,None), initialize=-0.73701682) m.x24 = Var(within=Reals, bounds=(None,None), initialize=-0.699796424) m.x25 = Var(within=Reals, bounds=(0,1.2), initialize=0) m.x26 = Var(within=Reals, bounds=(None,-4.034), initialize=-4.034) m.x27 = Var(within=Reals, bounds=(None,-0.222), initialize=-0.222) m.x28 = Var(within=Reals, bounds=(0,0), initialize=0) m.x29 = Var(within=Reals, bounds=(None,-15.616), initialize=-15.616) m.x30 = Var(within=Reals, bounds=(None,-3.918), initialize=-3.918) m.x31 = Var(within=Reals, bounds=(0,8.4), initialize=0) m.x32 = Var(within=Reals, bounds=(None,-5.256), initialize=-5.256) m.x33 = Var(within=Reals, bounds=(None,-6.385), initialize=-6.385) m.x34 = Var(within=Reals, bounds=(0,4.8), initialize=0) m.x35 = Var(within=Reals, bounds=(None,-6.848), initialize=-6.848) m.x36 = Var(within=Reals, bounds=(None,-2.12), initialize=-2.12) m.x37 = Var(within=Reals, bounds=(None,-1.919), initialize=-1.919) m.x38 = Var(within=Reals, bounds=(0,0.96), initialize=0) m.x39 = Var(within=Reals, bounds=(0,0), initialize=0) m.x40 = Var(within=Reals, bounds=(20.344,22.012), initialize=20.344) m.x41 = Var(within=Reals, bounds=(0,0), initialize=0) m.x42 = Var(within=Reals, bounds=(0,0), initialize=0) m.x43 = Var(within=Reals, bounds=(8.87,11.594), initialize=8.87) m.x44 = Var(within=Reals, bounds=(0,0), initialize=0) m.x45 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x46 = Var(within=Reals, bounds=(900,6400), initialize=900) m.x47 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x48 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x49 = Var(within=Reals, bounds=(2500,4382.44), initialize=2500) m.x50 = Var(within=Reals, bounds=(900,6400), initialize=900) m.x51 = Var(within=Reals, bounds=(0,5929), initialize=0) m.x52 = Var(within=Reals, bounds=(900,6400), initialize=900) m.x53 = Var(within=Reals, bounds=(900,4382.44), initialize=900) m.x54 = Var(within=Reals, bounds=(0,5929), initialize=0) m.x55 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x56 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x57 = Var(within=Reals, bounds=(625,4382.44), initialize=625) m.x58 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x59 = Var(within=Reals, bounds=(0,3969), initialize=0) m.x60 = Var(within=Reals, bounds=(2500,4382.44), initialize=2500) m.x61 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x62 = Var(within=Reals, bounds=(0,4382.44), initialize=0) m.x63 = Var(within=Reals, bounds=(0,5929), initialize=0) m.x64 = Var(within=Reals, bounds=(0,6400), initialize=0) m.obj = Objective(sense=minimize, expr= 2.28 * m.x31 + 2.28 * m.x34 + 1.68 * m.x38 + 1.68 * m.x40 + 2.28 * m.x43) m.e1 = Constraint(expr= -m.x17 + m.x18 - m.x25 == 0) m.e2 = Constraint(expr= -m.x6 + m.x7 - m.x26 == 0) m.e3 = Constraint(expr= -m.x23 + m.x24 - m.x27 == 0) m.e4 = Constraint(expr= -m.x10 - m.x11 + m.x12 + m.x13 - m.x28 == 0) m.e5 = Constraint(expr= -m.x20 - m.x29 == 0) m.e6 = Constraint(expr= -m.x3 - m.x4 + m.x5 - m.x30 == 0) m.e7 = Constraint(expr= -m.x1 - m.x2 + m.x3 + m.x4 - m.x31 == 0) m.e8 = Constraint(expr= -m.x7 + m.x8 - m.x32 == 0) m.e9 = Constraint(expr= -m.x12 - m.x13 + m.x14 + m.x15 - m.x33 == 0) m.e10 = Constraint(expr= m.x6 - m.x34 == 0) m.e11 = Constraint(expr= -m.x19 + m.x20 - m.x35 == 0) m.e12 = Constraint(expr= -m.x16 + m.x17 - m.x36 == 0) m.e13 = Constraint(expr= -m.x24 - m.x37 == 0) m.e14 = Constraint(expr= -m.x9 - m.x18 + m.x19 - m.x38 == 0) m.e15 = Constraint(expr= -m.x22 + m.x23 - m.x39 == 0) m.e16 = Constraint(expr= m.x10 + m.x11 - m.x40 == 0) m.e17 = Constraint(expr= -m.x21 + m.x22 - m.x41 == 0) m.e18 = Constraint(expr= -m.x14 - m.x15 + m.x16 + m.x21 - m.x42 == 0) m.e19 = Constraint(expr= m.x1 + m.x2 - m.x43 == 0) m.e20 = Constraint(expr= -m.x5 - m.x8 + m.x9 - m.x44 == 0) m.e21 = Constraint(expr= m.x1 * abs(m.x1)**(2 - 1) + 8.99076279639866 * m.x51 - 8.99076279639866 * m.x63 == 0) m.e22 = Constraint(expr= m.x2 * abs(m.x2)**(2 - 1) + 8.99076279639866 * m.x51 - 8.99076279639866 * m.x63 == 0) m.e23 = Constraint(expr= m.x3 * abs(m.x3)**(2 - 1) + 5.99384186426577 * m.x50 - 5.99384186426577 * m.x51 == 0) m.e24 = Constraint(expr= m.x4 * abs(m.x4)**(2 - 1) + 5.99384186426577 * m.x50 - 5.99384186426577 * m.x51 == 0) m.e25 = Constraint(expr= m.x5 * abs(m.x5)**(2 - 1) - 1.38319427636902 * m.x50 + 1.38319427636902 * m.x64 == 0) m.e26 = Constraint(expr= m.x6 * abs(m.x6)**(2 - 1) + 0.0993769948466698 * m.x46 - 0.0993769948466698 * m.x54 == 0) m.e27 = Constraint(expr= m.x7 * abs(m.x7)**(2 - 1) - 0.147352095807131 * m.x46 + 0.147352095807131 * m.x52 == 0) m.e28 = Constraint(expr= m.x8 * abs(m.x8)**(2 - 1) - 0.224905830442463 * m.x52 + 0.224905830442463 * m.x64 == 0) m.e29 = Constraint(expr= m.x9 * abs(m.x9)**(2 - 1) + 0.653873657919902 * m.x58 - 0.653873657919902 * m.x64 == 0) m.e30 = Constraint(expr= m.x12 * abs(m.x12)**(2 - 1) - 1.79815255927973 * m.x48 + 1.79815255927973 * m.x53 == 0) m.e31 = Constraint(expr= m.x13 * abs(m.x13)**(2 - 1) - 0.0265962529480588 * m.x48 + 0.0265962529480588 * m.x53 == 0) m.e32 = Constraint(expr= m.x14 * abs(m.x14)**(2 - 1) - 1.43852204742379 * m.x53 + 1.43852204742379 * m.x62 == 0) m.e33 = Constraint(expr= m.x15 * abs(m.x15)**(2 - 1) - 0.021277002358447 * m.x53 + 0.021277002358447 * m.x62 == 0) m.e34 = Constraint(expr= m.x16 * abs(m.x16)**(2 - 1) + 0.856263123466539 * m.x56 - 0.856263123466539 * m.x62 == 0) m.e35 = Constraint(expr= m.x17 * abs(m.x17)**(2 - 1) + 0.899076279639866 * m.x45 - 0.899076279639866 * m.x56 == 0) m.e36 = Constraint(expr= m.x18 * abs(m.x18)**(2 - 1) - 7.19261023711893 * m.x45 + 7.19261023711893 * m.x58 == 0) m.e37 = Constraint(expr= m.x19 * abs(m.x19)**(2 - 1) + 3.59630511855946 * m.x55 - 3.59630511855946 * m.x58 == 0) m.e38 = Constraint(expr= m.x20 * abs(m.x20)**(2 - 1) + 1.43852204742379 * m.x49 - 1.43852204742379 * m.x55 == 0) m.e39 = Constraint(expr= m.x21 * abs(m.x21)**(2 - 1) + 0.0509935163731392 * m.x61 - 0.0509935163731392 * m.x62 == 0) m.e40 = Constraint(expr= m.x23 * abs(m.x23)**(2 - 1) + 0.0016882734118691 * m.x47 - 0.0016882734118691 * m.x59 == 0) m.e41 = Constraint(expr= m.x24 * abs(m.x24)**(2 - 1) - 0.0275751323938619 * m.x47 + 0.0275751323938619 * m.x57 == 0) m.e42 = Constraint(expr= -m.x10**2 + 7.19261023711893 * m.x48 - 7.19261023711893 * m.x60 >= 0) m.e43 = Constraint(expr= -m.x11**2 + 0.106385011792235 * m.x48 - 0.106385011792235 * m.x60 >= 0) m.e44 = Constraint(expr= -m.x22**2 + 0.0063634920908912 * m.x59 - 0.0063634920908912 * m.x61 >= 0)