# NLP written by GAMS Convert at 02/17/22 17:20:03 # # Equation counts # Total E G L N X C B # 110 110 0 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 151 151 0 0 0 0 0 0 # FX 2 # # Nonzero counts # Total const NL # 327 287 40 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x2 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x3 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x4 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x5 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x6 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x7 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x8 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x9 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x10 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x11 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x12 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x13 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x14 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x15 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x16 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x17 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x18 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x19 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x20 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x21 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x22 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x23 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x24 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x25 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x26 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x27 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x28 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x29 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x30 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x31 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x32 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x33 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x34 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x35 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x36 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x37 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x38 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x39 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x40 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x41 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x42 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x43 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x44 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x45 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x47 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x48 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x49 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x50 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x51 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x52 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x53 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x54 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x55 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x56 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x57 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x58 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x59 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x60 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x61 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x62 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x63 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x64 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x65 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x66 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x67 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x68 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x69 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x70 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x71 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x72 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x73 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x74 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x75 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x76 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x77 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x78 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x79 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x80 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x81 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x82 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x83 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x84 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x85 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x86 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x87 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x88 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x89 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x90 = Var(within=Reals, bounds=(0,None), initialize=0.1) m.x91 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x92 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x93 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x94 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x95 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x96 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x97 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x98 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x99 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x100 = Var(within=Reals, bounds=(0.16,0.24), initialize=0.2) m.x101 = Var(within=Reals, bounds=(-2,-2), initialize=-2) m.x102 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x103 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x104 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x105 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x106 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x107 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x108 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x109 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x110 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x111 = Var(within=Reals, bounds=(0,0), initialize=0) m.x112 = Var(within=Reals, bounds=(None,None), initialize=1) m.x113 = Var(within=Reals, bounds=(None,None), initialize=1) m.x114 = Var(within=Reals, bounds=(None,None), initialize=1) m.x115 = Var(within=Reals, bounds=(None,None), initialize=1) m.x116 = Var(within=Reals, bounds=(None,None), initialize=1) m.x117 = Var(within=Reals, bounds=(None,None), initialize=1) m.x118 = Var(within=Reals, bounds=(None,None), initialize=1) m.x119 = Var(within=Reals, bounds=(None,None), initialize=1) m.x120 = Var(within=Reals, bounds=(None,None), initialize=1) m.x121 = Var(within=Reals, bounds=(None,None), initialize=1) m.x122 = Var(within=Reals, bounds=(None,None), initialize=1) m.x123 = Var(within=Reals, bounds=(None,None), initialize=1) m.x124 = Var(within=Reals, bounds=(None,None), initialize=1) m.x125 = Var(within=Reals, bounds=(None,None), initialize=1) m.x126 = Var(within=Reals, bounds=(None,None), initialize=1) m.x127 = Var(within=Reals, bounds=(None,None), initialize=1) m.x128 = Var(within=Reals, bounds=(None,None), initialize=1) m.x129 = Var(within=Reals, bounds=(None,None), initialize=1) m.x130 = Var(within=Reals, bounds=(None,None), initialize=1) m.x131 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x132 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x133 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x134 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x135 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x136 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x137 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x138 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x139 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x140 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x141 = Var(within=Reals, bounds=(None,None), initialize=0) m.x142 = Var(within=Reals, bounds=(None,None), initialize=0) m.x143 = Var(within=Reals, bounds=(None,None), initialize=0) m.x144 = Var(within=Reals, bounds=(None,None), initialize=0) m.x145 = Var(within=Reals, bounds=(None,None), initialize=0) m.x146 = Var(within=Reals, bounds=(None,None), initialize=0) m.x147 = Var(within=Reals, bounds=(None,None), initialize=0) m.x148 = Var(within=Reals, bounds=(None,None), initialize=0) m.x149 = Var(within=Reals, bounds=(None,None), initialize=0) m.x150 = Var(within=Reals, bounds=(None,None), initialize=0) m.x151 = Var(within=Reals, bounds=(None,None), initialize=1) m.obj = Objective(sense=minimize, expr= (-1.66666666666667 + m.x151)**2 + m.x91 * m.x131**2 + m.x92 * m.x132**2 + m.x93 * m.x133**2 + m.x94 * m.x134**2 + m.x95 * m.x135**2 + m.x96 * m.x136**2 + m.x97 * m.x137**2 + m.x98 * m.x138 **2 + m.x99 * m.x139**2 + m.x100 * m.x140**2 + 1000 * (m.x81 * m.x61 + m.x71 * m.x51 + m.x82 * m.x62 + m.x72 * m.x52 + m.x83 * m.x63 + m.x73 * m.x53 + m.x84 * m.x64 + m.x74 * m.x54 + m.x85 * m.x65 + m.x75 * m.x55 + m.x86 * m.x66 + m.x76 * m.x56 + m.x87 * m.x67 + m.x77 * m.x57 + m.x88 * m.x68 + m.x78 * m.x58 + m.x89 * m.x69 + m.x79 * m.x59 + m.x90 * m.x70 + m.x80 * m.x60)) m.e1 = Constraint(expr= -m.x91 - m.x111 + m.x121 == 0) m.e2 = Constraint(expr= -m.x92 - m.x112 + m.x122 == 0) m.e3 = Constraint(expr= -m.x93 - m.x113 + m.x123 == 0) m.e4 = Constraint(expr= -m.x94 - m.x114 + m.x124 == 0) m.e5 = Constraint(expr= -m.x95 - m.x115 + m.x125 == 0) m.e6 = Constraint(expr= -m.x96 - m.x116 + m.x126 == 0) m.e7 = Constraint(expr= -m.x97 - m.x117 + m.x127 == 0) m.e8 = Constraint(expr= -m.x98 - m.x118 + m.x128 == 0) m.e9 = Constraint(expr= -m.x99 - m.x119 + m.x129 == 0) m.e10 = Constraint(expr= -m.x100 - m.x120 + m.x130 == 0) m.e11 = Constraint(expr= -m.x91 * m.x141 - m.x101 + m.x131 == 0) m.e12 = Constraint(expr= -m.x92 * m.x142 - m.x102 + m.x132 == 0) m.e13 = Constraint(expr= -m.x93 * m.x143 - m.x103 + m.x133 == 0) m.e14 = Constraint(expr= -m.x94 * m.x144 - m.x104 + m.x134 == 0) m.e15 = Constraint(expr= -m.x95 * m.x145 - m.x105 + m.x135 == 0) m.e16 = Constraint(expr= -m.x96 * m.x146 - m.x106 + m.x136 == 0) m.e17 = Constraint(expr= -m.x97 * m.x147 - m.x107 + m.x137 == 0) m.e18 = Constraint(expr= -m.x98 * m.x148 - m.x108 + m.x138 == 0) m.e19 = Constraint(expr= -m.x99 * m.x149 - m.x109 + m.x139 == 0) m.e20 = Constraint(expr= -m.x100 * m.x150 - m.x110 + m.x140 == 0) m.e21 = Constraint(expr= -m.x91 - m.x111 + m.x112 == 0) m.e22 = Constraint(expr= -m.x92 - m.x112 + m.x113 == 0) m.e23 = Constraint(expr= -m.x93 - m.x113 + m.x114 == 0) m.e24 = Constraint(expr= -m.x94 - m.x114 + m.x115 == 0) m.e25 = Constraint(expr= -m.x95 - m.x115 + m.x116 == 0) m.e26 = Constraint(expr= -m.x96 - m.x116 + m.x117 == 0) m.e27 = Constraint(expr= -m.x97 - m.x117 + m.x118 == 0) m.e28 = Constraint(expr= -m.x98 - m.x118 + m.x119 == 0) m.e29 = Constraint(expr= -m.x99 - m.x119 + m.x120 == 0) m.e30 = Constraint(expr= -m.x91 * m.x141 - m.x101 + m.x102 == 0) m.e31 = Constraint(expr= -m.x92 * m.x142 - m.x102 + m.x103 == 0) m.e32 = Constraint(expr= -m.x93 * m.x143 - m.x103 + m.x104 == 0) m.e33 = Constraint(expr= -m.x94 * m.x144 - m.x104 + m.x105 == 0) m.e34 = Constraint(expr= -m.x95 * m.x145 - m.x105 + m.x106 == 0) m.e35 = Constraint(expr= -m.x96 * m.x146 - m.x106 + m.x107 == 0) m.e36 = Constraint(expr= -m.x97 * m.x147 - m.x107 + m.x108 == 0) m.e37 = Constraint(expr= -m.x98 * m.x148 - m.x108 + m.x109 == 0) m.e38 = Constraint(expr= -m.x99 * m.x149 - m.x109 + m.x110 == 0) m.e39 = Constraint(expr= -m.x100 * m.x150 - m.x110 + m.x151 == 0) m.e40 = Constraint(expr= m.x1 + m.x141 == 2) m.e41 = Constraint(expr= m.x2 + m.x142 == 2) m.e42 = Constraint(expr= m.x3 + m.x143 == 2) m.e43 = Constraint(expr= m.x4 + m.x144 == 2) m.e44 = Constraint(expr= m.x5 + m.x145 == 2) m.e45 = Constraint(expr= m.x6 + m.x146 == 2) m.e46 = Constraint(expr= m.x7 + m.x147 == 2) m.e47 = Constraint(expr= m.x8 + m.x148 == 2) m.e48 = Constraint(expr= m.x9 + m.x149 == 2) m.e49 = Constraint(expr= m.x10 + m.x150 == 2) m.e50 = Constraint(expr= -m.x11 + m.x21 + m.x131 == 0) m.e51 = Constraint(expr= -m.x12 + m.x22 + m.x132 == 0) m.e52 = Constraint(expr= -m.x13 + m.x23 + m.x133 == 0) m.e53 = Constraint(expr= -m.x14 + m.x24 + m.x134 == 0) m.e54 = Constraint(expr= -m.x15 + m.x25 + m.x135 == 0) m.e55 = Constraint(expr= -m.x16 + m.x26 + m.x136 == 0) m.e56 = Constraint(expr= -m.x17 + m.x27 + m.x137 == 0) m.e57 = Constraint(expr= -m.x18 + m.x28 + m.x138 == 0) m.e58 = Constraint(expr= -m.x19 + m.x29 + m.x139 == 0) m.e59 = Constraint(expr= -m.x20 + m.x30 + m.x140 == 0) m.e60 = Constraint(expr= -m.x31 + m.x41 + m.x101 == 0) m.e61 = Constraint(expr= -m.x32 + m.x42 + m.x102 == 0) m.e62 = Constraint(expr= -m.x33 + m.x43 + m.x103 == 0) m.e63 = Constraint(expr= -m.x34 + m.x44 + m.x104 == 0) m.e64 = Constraint(expr= -m.x35 + m.x45 + m.x105 == 0) m.e65 = Constraint(expr= -m.x36 + m.x46 + m.x106 == 0) m.e66 = Constraint(expr= -m.x37 + m.x47 + m.x107 == 0) m.e67 = Constraint(expr= -m.x38 + m.x48 + m.x108 == 0) m.e68 = Constraint(expr= -m.x39 + m.x49 + m.x109 == 0) m.e69 = Constraint(expr= -m.x40 + m.x50 + m.x110 == 0) m.e70 = Constraint(expr= -m.x11 - m.x31 + m.x51 == 0) m.e71 = Constraint(expr= -m.x12 - m.x32 + m.x52 == 0) m.e72 = Constraint(expr= -m.x13 - m.x33 + m.x53 == 0) m.e73 = Constraint(expr= -m.x14 - m.x34 + m.x54 == 0) m.e74 = Constraint(expr= -m.x15 - m.x35 + m.x55 == 0) m.e75 = Constraint(expr= -m.x16 - m.x36 + m.x56 == 0) m.e76 = Constraint(expr= -m.x17 - m.x37 + m.x57 == 0) m.e77 = Constraint(expr= -m.x18 - m.x38 + m.x58 == 0) m.e78 = Constraint(expr= -m.x19 - m.x39 + m.x59 == 0) m.e79 = Constraint(expr= -m.x20 - m.x40 + m.x60 == 0) m.e80 = Constraint(expr= -m.x21 - m.x41 + m.x61 == 0) m.e81 = Constraint(expr= -m.x22 - m.x42 + m.x62 == 0) m.e82 = Constraint(expr= -m.x23 - m.x43 + m.x63 == 0) m.e83 = Constraint(expr= -m.x24 - m.x44 + m.x64 == 0) m.e84 = Constraint(expr= -m.x25 - m.x45 + m.x65 == 0) m.e85 = Constraint(expr= -m.x26 - m.x46 + m.x66 == 0) m.e86 = Constraint(expr= -m.x27 - m.x47 + m.x67 == 0) m.e87 = Constraint(expr= -m.x28 - m.x48 + m.x68 == 0) m.e88 = Constraint(expr= -m.x29 - m.x49 + m.x69 == 0) m.e89 = Constraint(expr= -m.x30 - m.x50 + m.x70 == 0) m.e90 = Constraint(expr= m.x1 + m.x71 == 1) m.e91 = Constraint(expr= m.x2 + m.x72 == 1) m.e92 = Constraint(expr= m.x3 + m.x73 == 1) m.e93 = Constraint(expr= m.x4 + m.x74 == 1) m.e94 = Constraint(expr= m.x5 + m.x75 == 1) m.e95 = Constraint(expr= m.x6 + m.x76 == 1) m.e96 = Constraint(expr= m.x7 + m.x77 == 1) m.e97 = Constraint(expr= m.x8 + m.x78 == 1) m.e98 = Constraint(expr= m.x9 + m.x79 == 1) m.e99 = Constraint(expr= m.x10 + m.x80 == 1) m.e100 = Constraint(expr= -m.x1 + m.x81 == 1) m.e101 = Constraint(expr= -m.x2 + m.x82 == 1) m.e102 = Constraint(expr= -m.x3 + m.x83 == 1) m.e103 = Constraint(expr= -m.x4 + m.x84 == 1) m.e104 = Constraint(expr= -m.x5 + m.x85 == 1) m.e105 = Constraint(expr= -m.x6 + m.x86 == 1) m.e106 = Constraint(expr= -m.x7 + m.x87 == 1) m.e107 = Constraint(expr= -m.x8 + m.x88 == 1) m.e108 = Constraint(expr= -m.x9 + m.x89 == 1) m.e109 = Constraint(expr= -m.x10 + m.x90 == 1) m.e110 = Constraint(expr= m.x91 + m.x92 + m.x93 + m.x94 + m.x95 + m.x96 + m.x97 + m.x98 + m.x99 + m.x100 == 2)