# NLP written by GAMS Convert at 02/17/22 17:19:09 # # Equation counts # Total E G L N X C B # 71 71 0 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 110 110 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 579 116 463 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x2 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x3 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x4 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x5 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x6 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x7 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x8 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x9 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x10 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x11 = Var(within=Reals, bounds=(0,100), initialize=1) m.x12 = Var(within=Reals, bounds=(0,100), initialize=1) m.x13 = Var(within=Reals, bounds=(0,100), initialize=1) m.x14 = Var(within=Reals, bounds=(0,100), initialize=1) m.x15 = Var(within=Reals, bounds=(0,100), initialize=1) m.x16 = Var(within=Reals, bounds=(0,100), initialize=1) m.x17 = Var(within=Reals, bounds=(0,100), initialize=1) m.x18 = Var(within=Reals, bounds=(0,100), initialize=1) m.x19 = Var(within=Reals, bounds=(0,100), initialize=1) m.x20 = Var(within=Reals, bounds=(0,100), initialize=1) m.x21 = Var(within=Reals, bounds=(0,100), initialize=1) m.x22 = Var(within=Reals, bounds=(0,100), initialize=1) m.x23 = Var(within=Reals, bounds=(0,100), initialize=1) m.x24 = Var(within=Reals, bounds=(0,100), initialize=1) m.x25 = Var(within=Reals, bounds=(0,100), initialize=1) m.x26 = Var(within=Reals, bounds=(0,100), initialize=1) m.x27 = Var(within=Reals, bounds=(0,100), initialize=1) m.x28 = Var(within=Reals, bounds=(0,100), initialize=1) m.x29 = Var(within=Reals, bounds=(0,100), initialize=1) m.x30 = Var(within=Reals, bounds=(0,100), initialize=1) m.x31 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x32 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x33 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x34 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x35 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x36 = Var(within=Reals, bounds=(0,100), initialize=1) m.x37 = Var(within=Reals, bounds=(0,100), initialize=1) m.x38 = Var(within=Reals, bounds=(0,100), initialize=1) m.x39 = Var(within=Reals, bounds=(0,100), initialize=1) m.x40 = Var(within=Reals, bounds=(0,100), initialize=1) m.x41 = Var(within=Reals, bounds=(0,100), initialize=1) m.x42 = Var(within=Reals, bounds=(0,100), initialize=1) m.x43 = Var(within=Reals, bounds=(0,100), initialize=1) m.x44 = Var(within=Reals, bounds=(0,100), initialize=1) m.x45 = Var(within=Reals, bounds=(0,100), initialize=1) m.x46 = Var(within=Reals, bounds=(0,100), initialize=1) m.x47 = Var(within=Reals, bounds=(0,100), initialize=1) m.x48 = Var(within=Reals, bounds=(0,100), initialize=1) m.x49 = Var(within=Reals, bounds=(0,100), initialize=1) m.x50 = Var(within=Reals, bounds=(0,100), initialize=1) m.x51 = Var(within=Reals, bounds=(0,100), initialize=1) m.x52 = Var(within=Reals, bounds=(0,100), initialize=1) m.x53 = Var(within=Reals, bounds=(0,100), initialize=1) m.x54 = Var(within=Reals, bounds=(0,100), initialize=1) m.x55 = Var(within=Reals, bounds=(0,100), initialize=1) m.x56 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x57 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x58 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x59 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x60 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x61 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x62 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x63 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x64 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x65 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x66 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x67 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x68 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x69 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x70 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x71 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x72 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x73 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x74 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x75 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x76 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x77 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x78 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x79 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x80 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x81 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x82 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x83 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x84 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x85 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x86 = Var(within=Reals, bounds=(0,1e+04), initialize=7731) m.x87 = Var(within=Reals, bounds=(0,100), initialize=1) m.x88 = Var(within=Reals, bounds=(0,100), initialize=1) m.x89 = Var(within=Reals, bounds=(0,100), initialize=1) m.x90 = Var(within=Reals, bounds=(0,100), initialize=1) m.x91 = Var(within=Reals, bounds=(0,5e+04), initialize=1) m.x92 = Var(within=Reals, bounds=(0,5e+04), initialize=1) m.x93 = Var(within=Reals, bounds=(0,5e+04), initialize=1) m.x94 = Var(within=Reals, bounds=(0,5e+04), initialize=1) m.x95 = Var(within=Reals, bounds=(0,5e+04), initialize=1) m.x96 = Var(within=Reals, bounds=(300,1200), initialize=1200) m.x97 = Var(within=Reals, bounds=(300,1200), initialize=1200) m.x98 = Var(within=Reals, bounds=(300,1200), initialize=1200) m.x99 = Var(within=Reals, bounds=(300,1200), initialize=1200) m.x100 = Var(within=Reals, bounds=(300,1200), initialize=1200) m.x101 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x102 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x103 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x104 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x105 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x106 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x107 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x108 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x109 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.x110 = Var(within=Reals, bounds=(0,1e+05), initialize=0) m.obj = Objective(sense=minimize, expr= -m.x89) m.e1 = Constraint(expr= -m.x1 - m.x2 - m.x3 - m.x4 - m.x5 == -7731) m.e2 = Constraint(expr= -m.x1 + m.x6 - m.x56 - m.x61 - m.x66 - m.x71 - m.x76 == 0) m.e3 = Constraint(expr= -m.x2 + m.x7 - m.x57 - m.x62 - m.x67 - m.x72 - m.x77 == 0) m.e4 = Constraint(expr= -m.x3 + m.x8 - m.x58 - m.x63 - m.x68 - m.x73 - m.x78 == 0) m.e5 = Constraint(expr= -m.x4 + m.x9 - m.x59 - m.x64 - m.x69 - m.x74 - m.x79 == 0) m.e6 = Constraint(expr= -m.x5 + m.x10 - m.x60 - m.x65 - m.x70 - m.x75 - m.x80 == 0) m.e7 = Constraint(expr= m.x11 * m.x6 - m.x36 * m.x56 - m.x40 * m.x61 - m.x44 * m.x66 - m.x48 * m.x71 - m.x52 * m.x76 - 2.5 * m.x1 == 0) m.e8 = Constraint(expr= m.x12 * m.x6 - m.x37 * m.x56 - m.x41 * m.x61 - m.x45 * m.x66 - m.x49 * m.x71 - m.x53 * m.x76 - 3.46 * m.x1 == 0) m.e9 = Constraint(expr= m.x13 * m.x6 - m.x38 * m.x56 - m.x42 * m.x61 - m.x46 * m.x66 - m.x50 * m.x71 - m.x54 * m.x76 == 0) m.e10 = Constraint(expr= m.x14 * m.x6 - m.x39 * m.x56 - m.x43 * m.x61 - m.x47 * m.x66 - m.x51 * m.x71 - m.x55 * m.x76 - 26.05 * m.x1 == 0) m.e11 = Constraint(expr= m.x15 * m.x7 - m.x36 * m.x57 - m.x40 * m.x62 - m.x44 * m.x67 - m.x48 * m.x72 - m.x52 * m.x77 - 2.5 * m.x2 == 0) m.e12 = Constraint(expr= m.x16 * m.x7 - m.x37 * m.x57 - m.x41 * m.x62 - m.x45 * m.x67 - m.x49 * m.x72 - m.x53 * m.x77 - 3.46 * m.x2 == 0) m.e13 = Constraint(expr= m.x17 * m.x7 - m.x38 * m.x57 - m.x42 * m.x62 - m.x46 * m.x67 - m.x50 * m.x72 - m.x54 * m.x77 == 0) m.e14 = Constraint(expr= m.x18 * m.x7 - m.x39 * m.x57 - m.x43 * m.x62 - m.x47 * m.x67 - m.x51 * m.x72 - m.x55 * m.x77 - 26.05 * m.x2 == 0) m.e15 = Constraint(expr= m.x19 * m.x8 - m.x36 * m.x58 - m.x40 * m.x63 - m.x44 * m.x68 - m.x48 * m.x73 - m.x52 * m.x78 - 2.5 * m.x3 == 0) m.e16 = Constraint(expr= m.x20 * m.x8 - m.x37 * m.x58 - m.x41 * m.x63 - m.x45 * m.x68 - m.x49 * m.x73 - m.x53 * m.x78 - 3.46 * m.x3 == 0) m.e17 = Constraint(expr= m.x21 * m.x8 - m.x38 * m.x58 - m.x42 * m.x63 - m.x46 * m.x68 - m.x50 * m.x73 - m.x54 * m.x78 == 0) m.e18 = Constraint(expr= m.x22 * m.x8 - m.x39 * m.x58 - m.x43 * m.x63 - m.x47 * m.x68 - m.x51 * m.x73 - m.x55 * m.x78 - 26.05 * m.x3 == 0) m.e19 = Constraint(expr= m.x23 * m.x9 - m.x36 * m.x59 - m.x40 * m.x64 - m.x44 * m.x69 - m.x48 * m.x74 - m.x52 * m.x79 - 2.5 * m.x4 == 0) m.e20 = Constraint(expr= m.x24 * m.x9 - m.x37 * m.x59 - m.x41 * m.x64 - m.x45 * m.x69 - m.x49 * m.x74 - m.x53 * m.x79 - 3.46 * m.x4 == 0) m.e21 = Constraint(expr= m.x25 * m.x9 - m.x38 * m.x59 - m.x42 * m.x64 - m.x46 * m.x69 - m.x50 * m.x74 - m.x54 * m.x79 == 0) m.e22 = Constraint(expr= m.x26 * m.x9 - m.x39 * m.x59 - m.x43 * m.x64 - m.x47 * m.x69 - m.x51 * m.x74 - m.x55 * m.x79 - 26.05 * m.x4 == 0) m.e23 = Constraint(expr= m.x27 * m.x10 - m.x36 * m.x60 - m.x40 * m.x65 - m.x44 * m.x70 - m.x48 * m.x75 - m.x52 * m.x80 - 2.5 * m.x5 == 0) m.e24 = Constraint(expr= m.x28 * m.x10 - m.x37 * m.x60 - m.x41 * m.x65 - m.x45 * m.x70 - m.x49 * m.x75 - m.x53 * m.x80 - 3.46 * m.x5 == 0) m.e25 = Constraint(expr= m.x29 * m.x10 - m.x38 * m.x60 - m.x42 * m.x65 - m.x46 * m.x70 - m.x50 * m.x75 - m.x54 * m.x80 == 0) m.e26 = Constraint(expr= m.x30 * m.x10 - m.x39 * m.x60 - m.x43 * m.x65 - m.x47 * m.x70 - m.x51 * m.x75 - m.x55 * m.x80 - 26.05 * m.x5 == 0) m.e27 = Constraint(expr= -m.x6 + m.x31 == 0) m.e28 = Constraint(expr= -m.x7 + m.x32 == 0) m.e29 = Constraint(expr= -m.x8 + m.x33 == 0) m.e30 = Constraint(expr= -m.x9 + m.x34 == 0) m.e31 = Constraint(expr= -m.x10 + m.x35 == 0) m.e32 = Constraint(expr= m.x36 * m.x31 - m.x11 * m.x6 - m.x91 * (-m.x101 + m.x102) == 0) m.e33 = Constraint(expr= m.x37 * m.x31 - m.x12 * m.x6 - m.x91 * (-0.5 * m.x101 + 0.5 * m.x102) == 0) m.e34 = Constraint(expr= m.x38 * m.x31 - m.x13 * m.x6 - m.x91 * (m.x101 - m.x102) == 0) m.e35 = Constraint(expr= m.x39 * m.x31 - m.x14 * m.x6 == 0) m.e36 = Constraint(expr= m.x40 * m.x32 - m.x15 * m.x7 - m.x92 * (-m.x103 + m.x104) == 0) m.e37 = Constraint(expr= m.x41 * m.x32 - m.x16 * m.x7 - m.x92 * (-0.5 * m.x103 + 0.5 * m.x104) == 0) m.e38 = Constraint(expr= m.x42 * m.x32 - m.x17 * m.x7 - m.x92 * (m.x103 - m.x104) == 0) m.e39 = Constraint(expr= m.x43 * m.x32 - m.x18 * m.x7 == 0) m.e40 = Constraint(expr= m.x44 * m.x33 - m.x19 * m.x8 - m.x93 * (-m.x105 + m.x106) == 0) m.e41 = Constraint(expr= m.x45 * m.x33 - m.x20 * m.x8 - m.x93 * (-0.5 * m.x105 + 0.5 * m.x106) == 0) m.e42 = Constraint(expr= m.x46 * m.x33 - m.x21 * m.x8 - m.x93 * (m.x105 - m.x106) == 0) m.e43 = Constraint(expr= m.x47 * m.x33 - m.x22 * m.x8 == 0) m.e44 = Constraint(expr= m.x48 * m.x34 - m.x23 * m.x9 - m.x94 * (-m.x107 + m.x108) == 0) m.e45 = Constraint(expr= m.x49 * m.x34 - m.x24 * m.x9 - m.x94 * (-0.5 * m.x107 + 0.5 * m.x108) == 0) m.e46 = Constraint(expr= m.x50 * m.x34 - m.x25 * m.x9 - m.x94 * (m.x107 - m.x108) == 0) m.e47 = Constraint(expr= m.x51 * m.x34 - m.x26 * m.x9 == 0) m.e48 = Constraint(expr= m.x52 * m.x35 - m.x27 * m.x10 - m.x95 * (-m.x109 + m.x110) == 0) m.e49 = Constraint(expr= m.x53 * m.x35 - m.x28 * m.x10 - m.x95 * (-0.5 * m.x109 + 0.5 * m.x110) == 0) m.e50 = Constraint(expr= m.x54 * m.x35 - m.x29 * m.x10 - m.x95 * (m.x109 - m.x110) == 0) m.e51 = Constraint(expr= m.x55 * m.x35 - m.x30 * m.x10 == 0) m.e52 = Constraint(expr= -6.284e+11 * exp(-15500 / m.x96) * m.x36**0.5 * m.x37 / (m.x36 + m.x37 + m.x38 + m.x39)**1.5 + m.x101 == 0) m.e53 = Constraint(expr= -6.284e+11 * exp(-15500 / m.x97) * m.x40**0.5 * m.x41 / (m.x40 + m.x41 + m.x42 + m.x43)**1.5 + m.x103 == 0) m.e54 = Constraint(expr= -6.284e+11 * exp(-15500 / m.x98) * m.x44**0.5 * m.x45 / (m.x44 + m.x45 + m.x46 + m.x47)**1.5 + m.x105 == 0) m.e55 = Constraint(expr= -6.284e+11 * exp(-15500 / m.x99) * m.x48**0.5 * m.x49 / (m.x48 + m.x49 + m.x50 + m.x51)**1.5 + m.x107 == 0) m.e56 = Constraint(expr= -6.284e+11 * exp(-15500 / m.x100) * m.x52**0.5 * m.x53 / (m.x52 + m.x53 + m.x54 + m.x55)**1.5 + m.x109 == 0) m.e57 = Constraint(expr= -2.732e+16 * exp(-26799.5 / m.x96) * m.x37**0.5 * m.x38 / m.x36**0.5 / (m.x36 + m.x37 + m.x38 + m.x39) + m.x102 == 0) m.e58 = Constraint(expr= -2.732e+16 * exp(-26799.5 / m.x97) * m.x41**0.5 * m.x42 / m.x40**0.5 / (m.x40 + m.x41 + m.x42 + m.x43) + m.x104 == 0) m.e59 = Constraint(expr= -2.732e+16 * exp(-26799.5 / m.x98) * m.x45**0.5 * m.x46 / m.x44**0.5 / (m.x44 + m.x45 + m.x46 + m.x47) + m.x106 == 0) m.e60 = Constraint(expr= -2.732e+16 * exp(-26799.5 / m.x99) * m.x49**0.5 * m.x50 / m.x48**0.5 / (m.x48 + m.x49 + m.x50 + m.x51) + m.x108 == 0) m.e61 = Constraint(expr= -2.732e+16 * exp(-26799.5 / m.x100) * m.x53**0.5 * m.x54 / m.x52**0.5 / (m.x52 + m.x53 + m.x54 + m.x55) + m.x110 == 0) m.e62 = Constraint(expr= m.x31 - m.x56 - m.x57 - m.x58 - m.x59 - m.x60 - m.x81 == 0) m.e63 = Constraint(expr= m.x32 - m.x61 - m.x62 - m.x63 - m.x64 - m.x65 - m.x82 == 0) m.e64 = Constraint(expr= m.x33 - m.x66 - m.x67 - m.x68 - m.x69 - m.x70 - m.x83 == 0) m.e65 = Constraint(expr= m.x34 - m.x71 - m.x72 - m.x73 - m.x74 - m.x75 - m.x84 == 0) m.e66 = Constraint(expr= m.x35 - m.x76 - m.x77 - m.x78 - m.x79 - m.x80 - m.x85 == 0) m.e67 = Constraint(expr= -m.x81 - m.x82 - m.x83 - m.x84 - m.x85 + m.x86 == 0) m.e68 = Constraint(expr= m.x86 * m.x87 - m.x81 * m.x36 - m.x82 * m.x40 - m.x83 * m.x44 - m.x84 * m.x48 - m.x85 * m.x52 == 0) m.e69 = Constraint(expr= m.x86 * m.x88 - m.x81 * m.x37 - m.x82 * m.x41 - m.x83 * m.x45 - m.x84 * m.x49 - m.x85 * m.x53 == 0) m.e70 = Constraint(expr= m.x86 * m.x89 - m.x81 * m.x38 - m.x82 * m.x42 - m.x83 * m.x46 - m.x84 * m.x50 - m.x85 * m.x54 == 0) m.e71 = Constraint(expr= m.x86 * m.x90 - m.x81 * m.x39 - m.x82 * m.x43 - m.x83 * m.x47 - m.x84 * m.x51 - m.x85 * m.x55 == 0)