# MINLP written by GAMS Convert at 02/17/22 17:23:51 # # Equation counts # Total E G L N X C B # 142 84 43 15 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 156 72 30 54 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 526 286 240 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.b1 = Var(within=Binary, bounds=(0,1), initialize=0) m.b2 = Var(within=Binary, bounds=(0,1), initialize=0) m.b3 = Var(within=Binary, bounds=(0,1), initialize=0) m.b4 = Var(within=Binary, bounds=(0,1), initialize=0) m.b5 = Var(within=Binary, bounds=(0,1), initialize=0) m.b6 = Var(within=Binary, bounds=(0,1), initialize=0) m.b7 = Var(within=Binary, bounds=(0,1), initialize=0) m.b8 = Var(within=Binary, bounds=(0,1), initialize=0) m.b9 = Var(within=Binary, bounds=(0,1), initialize=0) m.b10 = Var(within=Binary, bounds=(0,1), initialize=0) m.b11 = Var(within=Binary, bounds=(0,1), initialize=0) m.b12 = Var(within=Binary, bounds=(0,1), initialize=0) m.b13 = Var(within=Binary, bounds=(0,1), initialize=0) m.b14 = Var(within=Binary, bounds=(0,1), initialize=0) m.b15 = Var(within=Binary, bounds=(0,1), initialize=0) m.b16 = Var(within=Binary, bounds=(0,1), initialize=0) m.b17 = Var(within=Binary, bounds=(0,1), initialize=0) m.b18 = Var(within=Binary, bounds=(0,1), initialize=0) m.b19 = Var(within=Binary, bounds=(0,1), initialize=1) m.b20 = Var(within=Binary, bounds=(0,1), initialize=1) m.b21 = Var(within=Binary, bounds=(0,1), initialize=1) m.b22 = Var(within=Binary, bounds=(0,1), initialize=1) m.b23 = Var(within=Binary, bounds=(0,1), initialize=1) m.b24 = Var(within=Binary, bounds=(0,1), initialize=1) m.b25 = Var(within=Binary, bounds=(0,1), initialize=1) m.b26 = Var(within=Binary, bounds=(0,1), initialize=1) m.b27 = Var(within=Binary, bounds=(0,1), initialize=1) m.b28 = Var(within=Binary, bounds=(0,1), initialize=1) m.b29 = Var(within=Binary, bounds=(0,1), initialize=1) m.b30 = Var(within=Binary, bounds=(0,1), initialize=1) m.i31 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i32 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i33 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i34 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i35 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i36 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i37 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i38 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i39 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i40 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i41 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i42 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i43 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i44 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i45 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i46 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i47 = Var(within=Integers, bounds=(1,None), initialize=1) m.i48 = Var(within=Integers, bounds=(1,None), initialize=1) m.i49 = Var(within=Integers, bounds=(1,None), initialize=1) m.i50 = Var(within=Integers, bounds=(1,None), initialize=1) m.i51 = Var(within=Integers, bounds=(1,None), initialize=1) m.i52 = Var(within=Integers, bounds=(1,None), initialize=1) m.i53 = Var(within=Integers, bounds=(1,None), initialize=1) m.i54 = Var(within=Integers, bounds=(1,None), initialize=1) m.i55 = Var(within=Integers, bounds=(0,None), initialize=0) m.i56 = Var(within=Integers, bounds=(0,None), initialize=0) m.i57 = Var(within=Integers, bounds=(0,None), initialize=0) m.i58 = Var(within=Integers, bounds=(0,None), initialize=0) m.i59 = Var(within=Integers, bounds=(0,None), initialize=0) m.i60 = Var(within=Integers, bounds=(0,None), initialize=0) m.i61 = Var(within=Integers, bounds=(0,None), initialize=0) m.i62 = Var(within=Integers, bounds=(0,None), initialize=0) m.i63 = Var(within=Integers, bounds=(0,None), initialize=0) m.i64 = Var(within=Integers, bounds=(0,None), initialize=0) m.i65 = Var(within=Integers, bounds=(0,None), initialize=0) m.i66 = Var(within=Integers, bounds=(0,None), initialize=0) m.i67 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i68 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i69 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i70 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i71 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i72 = Var(within=Integers, bounds=(0,2147483647), initialize=0) m.i73 = Var(within=Integers, bounds=(0,None), initialize=0) m.i74 = Var(within=Integers, bounds=(0,None), initialize=0) m.i75 = Var(within=Integers, bounds=(0,None), initialize=0) m.i76 = Var(within=Integers, bounds=(0,None), initialize=0) m.i77 = Var(within=Integers, bounds=(0,None), initialize=0) m.i78 = Var(within=Integers, bounds=(0,None), initialize=0) m.i79 = Var(within=Integers, bounds=(0,None), initialize=0) m.i80 = Var(within=Integers, bounds=(0,None), initialize=0) m.i81 = Var(within=Integers, bounds=(0,None), initialize=0) m.i82 = Var(within=Integers, bounds=(0,None), initialize=0) m.i83 = Var(within=Integers, bounds=(0,None), initialize=0) m.i84 = Var(within=Integers, bounds=(0,None), initialize=0) m.x85 = Var(within=Reals, bounds=(0,None), initialize=0) m.x86 = Var(within=Reals, bounds=(0,None), initialize=0) m.x87 = Var(within=Reals, bounds=(0,None), initialize=0) m.x88 = Var(within=Reals, bounds=(0,None), initialize=0) m.x89 = Var(within=Reals, bounds=(0,None), initialize=0) m.x90 = Var(within=Reals, bounds=(0,None), initialize=0) m.x91 = Var(within=Reals, bounds=(0,None), initialize=0) m.x92 = Var(within=Reals, bounds=(0,None), initialize=0) m.x93 = Var(within=Reals, bounds=(0,None), initialize=0) m.x94 = Var(within=Reals, bounds=(0,None), initialize=0) m.x95 = Var(within=Reals, bounds=(0,None), initialize=0) m.x96 = Var(within=Reals, bounds=(0,None), initialize=0) m.x97 = Var(within=Reals, bounds=(0,None), initialize=0) m.x98 = Var(within=Reals, bounds=(0,None), initialize=0) m.x99 = Var(within=Reals, bounds=(0,None), initialize=0) m.x100 = Var(within=Reals, bounds=(0,None), initialize=0) m.x101 = Var(within=Reals, bounds=(0,None), initialize=0) m.x102 = Var(within=Reals, bounds=(0,None), initialize=0) m.x103 = Var(within=Reals, bounds=(0,None), initialize=0) m.x104 = Var(within=Reals, bounds=(0,None), initialize=0) m.x105 = Var(within=Reals, bounds=(0,None), initialize=0) m.x106 = Var(within=Reals, bounds=(0,None), initialize=0) m.x107 = Var(within=Reals, bounds=(0,None), initialize=0) m.x108 = Var(within=Reals, bounds=(0,None), initialize=0) m.x109 = Var(within=Reals, bounds=(0,None), initialize=0) m.x110 = Var(within=Reals, bounds=(0,None), initialize=0) m.x111 = Var(within=Reals, bounds=(0,None), initialize=0) m.x112 = Var(within=Reals, bounds=(0,None), initialize=0) m.x113 = Var(within=Reals, bounds=(0,None), initialize=0) m.x114 = Var(within=Reals, bounds=(0,None), initialize=0) m.x115 = Var(within=Reals, bounds=(0,None), initialize=0) m.x116 = Var(within=Reals, bounds=(0,None), initialize=0) m.x117 = Var(within=Reals, bounds=(0,None), initialize=0) m.x118 = Var(within=Reals, bounds=(0,None), initialize=0) m.x119 = Var(within=Reals, bounds=(0,None), initialize=0) m.x120 = Var(within=Reals, bounds=(0,None), initialize=0) m.x121 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x122 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x123 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x124 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x125 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x126 = Var(within=Reals, bounds=(-12000,12000), initialize=0) m.x127 = Var(within=Reals, bounds=(None,None), initialize=0) m.x128 = Var(within=Reals, bounds=(None,None), initialize=0) m.x129 = Var(within=Reals, bounds=(None,None), initialize=0) m.x130 = Var(within=Reals, bounds=(None,None), initialize=0) m.x131 = Var(within=Reals, bounds=(None,None), initialize=0) m.x132 = Var(within=Reals, bounds=(None,None), initialize=0) m.x133 = Var(within=Reals, bounds=(None,None), initialize=0) m.x134 = Var(within=Reals, bounds=(None,None), initialize=0) m.x135 = Var(within=Reals, bounds=(None,None), initialize=0) m.x136 = Var(within=Reals, bounds=(None,None), initialize=0) m.x137 = Var(within=Reals, bounds=(None,None), initialize=0) m.x138 = Var(within=Reals, bounds=(None,None), initialize=0) m.x139 = Var(within=Reals, bounds=(None,None), initialize=0) m.x140 = Var(within=Reals, bounds=(None,None), initialize=0) 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=0) m.x152 = Var(within=Reals, bounds=(None,None), initialize=0) m.x153 = Var(within=Reals, bounds=(None,None), initialize=0) m.x154 = Var(within=Reals, bounds=(None,None), initialize=0) m.x155 = Var(within=Reals, bounds=(None,None), initialize=0) m.x156 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= 0.0009231163463866 * m.x127 + 0.0008521437889662 * m.x128 + 0.0007866278610666 * m.x129 + 0.0009231163463866 * m.x130 + 0.0008521437889662 * m.x131 + 0.0007866278610666 * m.x132) m.e1 = Constraint(expr= m.b2 + m.b8 + m.b14 == 1) m.e2 = Constraint(expr= m.b3 + m.b9 + m.b15 == 1) m.e3 = Constraint(expr= m.b4 + m.b10 + m.b16 == 1) m.e4 = Constraint(expr= m.b5 + m.b11 + m.b17 == 1) m.e5 = Constraint(expr= m.b6 + m.b12 + m.b18 == 1) m.e6 = Constraint(expr= m.b25 + m.b28 == 1) m.e7 = Constraint(expr= m.b26 + m.b29 == 1) m.e8 = Constraint(expr= m.b27 + m.b30 == 1) m.e9 = Constraint(expr= m.b19 + m.b22 == 1) m.e10 = Constraint(expr= m.b20 + m.b23 == 1) m.e11 = Constraint(expr= m.b21 + m.b24 == 1) m.e12 = Constraint(expr= -1.11111111111111 * m.x91 * (2025 * m.b1 + 4420 * m.b7 + 7050 * m.b13) / m.i48 + m.x151 == -2100) m.e13 = Constraint(expr= -1.11111111111111 * m.x92 * (2025 * m.b2 + 4420 * m.b8 + 7050 * m.b14) / m.i49 + m.x152 == -2100) m.e14 = Constraint(expr= -1.11111111111111 * m.x93 * (2025 * m.b3 + 4420 * m.b9 + 7050 * m.b15) / m.i50 + m.x153 == -2100) m.e15 = Constraint(expr= -1.11111111111111 * m.x94 * (2025 * m.b4 + 4420 * m.b10 + 7050 * m.b16) / m.i52 + m.x154 == -2100) m.e16 = Constraint(expr= -1.11111111111111 * m.x95 * (2025 * m.b5 + 4420 * m.b11 + 7050 * m.b17) / m.i53 + m.x155 == -2100) m.e17 = Constraint(expr= -1.11111111111111 * m.x96 * (2025 * m.b6 + 4420 * m.b12 + 7050 * m.b18) / m.i54 + m.x156 == -2100) m.e18 = Constraint(expr= -(480 * m.b25 + 360 * m.b28) * (1 + 0.1 * m.b1 + 0.1 * m.b7 + 0.1 * m.b13) * (1 + m.x85) + m.x91 == 0) m.e19 = Constraint(expr= -(480 * m.b26 + 360 * m.b29) * (1 + 0.1 * m.b2 + 0.1 * m.b8 + 0.1 * m.b14) * (1 + m.x86) + m.x92 == 0) m.e20 = Constraint(expr= -(480 * m.b27 + 360 * m.b30) * (1 + 0.1 * m.b3 + 0.1 * m.b9 + 0.1 * m.b15) * (1 + m.x87) + m.x93 == 0) m.e21 = Constraint(expr= -(450 * m.b19 + 400 * m.b22) * (1 + 0.1 * m.b4 + 0.1 * m.b10 + 0.1 * m.b16) * (1 + m.x88) + m.x94 == 0) m.e22 = Constraint(expr= -(450 * m.b20 + 400 * m.b23) * (1 + 0.1 * m.b5 + 0.1 * m.b11 + 0.1 * m.b17) * (1 + m.x89) + m.x95 == 0) m.e23 = Constraint(expr= -(450 * m.b21 + 400 * m.b24) * (1 + 0.1 * m.b6 + 0.1 * m.b12 + 0.1 * m.b18) * (1 + m.x90) + m.x96 == 0) m.e24 = Constraint(expr= m.x121 - m.x151 == 0) m.e25 = Constraint(expr= -m.x121 * m.i48 / m.i49 - (m.x121 * m.i56 + m.x124 * m.i62) / m.i49 + (m.x121 * m.i56 + m.x121 * m.i59) / m.i49 + m.x122 - m.x152 == 0) m.e26 = Constraint(expr= -m.x122 * m.i49 / m.i50 - (m.x122 * m.i57 + m.x125 * m.i63) / m.i50 + (m.x122 * m.i57 + m.x122 * m.i60) / m.i50 + m.x123 - m.x153 == 0) m.e27 = Constraint(expr= m.x124 - m.x154 == 0) m.e28 = Constraint(expr= -m.x124 * m.i52 / m.i53 - (m.x121 * m.i59 + m.x124 * m.i65) / m.i53 + (m.x124 * m.i62 + m.x124 * m.i65) / m.i53 + m.x125 - m.x155 == 0) m.e29 = Constraint(expr= -m.x125 * m.i53 / m.i54 - (m.x122 * m.i60 + m.x125 * m.i66) / m.i54 + (m.x125 * m.i63 + m.x125 * m.i66) / m.i54 + m.x126 - m.x156 == 0) m.e30 = Constraint(expr= m.i31 == 1100) m.e31 = Constraint(expr= -m.i31 + m.i32 + m.i58 - m.i61 - m.i73 == 0) m.e32 = Constraint(expr= -m.i32 + m.i33 + m.i59 - m.i62 - m.i74 == 0) m.e33 = Constraint(expr= -m.i33 + m.i34 + m.i60 - m.i63 - m.i75 == 0) m.e34 = Constraint(expr= m.i35 == 2200) m.e35 = Constraint(expr= -m.i35 + m.i36 - m.i58 + m.i61 - m.i76 == 0) m.e36 = Constraint(expr= -m.i36 + m.i37 - m.i59 + m.i62 - m.i77 == 0) m.e37 = Constraint(expr= -m.i37 + m.i38 - m.i60 + m.i63 - m.i78 == 0) m.e38 = Constraint(expr= m.i39 == 150) m.e39 = Constraint(expr= -m.i39 + m.i40 - m.i79 == 0) m.e40 = Constraint(expr= -m.i40 + m.i41 - m.i80 == 0) m.e41 = Constraint(expr= -m.i41 + m.i42 - m.i81 == 0) m.e42 = Constraint(expr= m.i43 == 100) m.e43 = Constraint(expr= -m.i43 + m.i44 - m.i82 == 0) m.e44 = Constraint(expr= -m.i44 + m.i45 - m.i83 == 0) m.e45 = Constraint(expr= -m.i45 + m.i46 - m.i84 == 0) m.e46 = Constraint(expr= -m.i31 - m.i39 + m.i47 == 0) m.e47 = Constraint(expr= -m.i32 - m.i40 + m.i48 == 0) m.e48 = Constraint(expr= -m.i33 - m.i41 + m.i49 == 0) m.e49 = Constraint(expr= -m.i34 - m.i42 + m.i50 == 0) m.e50 = Constraint(expr= -m.i35 - m.i43 + m.i51 == 0) m.e51 = Constraint(expr= -m.i36 - m.i44 + m.i52 == 0) m.e52 = Constraint(expr= -m.i37 - m.i45 + m.i53 == 0) m.e53 = Constraint(expr= -m.i38 - m.i46 + m.i54 == 0) m.e54 = Constraint(expr= -1.11111111111 * m.x91 * m.b1 - 2.22222222222 * m.x91 * m.b7 - 3.33333333333 * m.x91 * m.b13 + m.i48 >= 0) m.e55 = Constraint(expr= -1.11111111111 * m.x92 * m.b2 - 2.22222222222 * m.x92 * m.b8 - 3.33333333333 * m.x92 * m.b14 + m.i49 >= 0) m.e56 = Constraint(expr= -1.11111111111 * m.x93 * m.b3 - 2.22222222222 * m.x93 * m.b9 - 3.33333333333 * m.x93 * m.b15 + m.i50 >= 0) m.e57 = Constraint(expr= -1.11111111111 * m.x94 * m.b4 - 2.22222222222 * m.x94 * m.b10 - 3.33333333333 * m.x94 * m.b16 + m.i52 >= 0) m.e58 = Constraint(expr= -1.11111111111 * m.x95 * m.b5 - 2.22222222222 * m.x95 * m.b11 - 3.33333333333 * m.x95 * m.b17 + m.i53 >= 0) m.e59 = Constraint(expr= -1.11111111111 * m.x96 * m.b6 - 2.22222222222 * m.x96 * m.b12 - 3.33333333333 * m.x96 * m.b18 + m.i54 >= 0) m.e60 = Constraint(expr= m.i73 >= 0) m.e61 = Constraint(expr= m.i74 >= 0) m.e62 = Constraint(expr= m.i75 >= 0) m.e63 = Constraint(expr= m.i76 >= 0) m.e64 = Constraint(expr= m.i77 >= 0) m.e65 = Constraint(expr= m.i78 >= 0) m.e66 = Constraint(expr= -m.i73 + m.x115 >= 0) m.e67 = Constraint(expr= -m.i74 + m.x116 >= 0) m.e68 = Constraint(expr= -m.i75 + m.x117 >= 0) m.e69 = Constraint(expr= -m.i76 + m.x118 >= 0) m.e70 = Constraint(expr= -m.i77 + m.x119 >= 0) m.e71 = Constraint(expr= -m.i78 + m.x120 >= 0) m.e72 = Constraint(expr= -m.i79 + m.x109 >= 0) m.e73 = Constraint(expr= -m.i80 + m.x110 >= 0) m.e74 = Constraint(expr= -m.i81 + m.x111 >= 0) m.e75 = Constraint(expr= -m.i82 + m.x112 >= 0) m.e76 = Constraint(expr= -m.i83 + m.x113 >= 0) m.e77 = Constraint(expr= -m.i84 + m.x114 >= 0) m.e78 = Constraint(expr= -m.x109 - m.x112 - m.x115 - m.x118 >= -100) m.e79 = Constraint(expr= -m.x110 - m.x113 - m.x116 - m.x119 >= -100) m.e80 = Constraint(expr= -m.x111 - m.x114 - m.x117 - m.x120 >= -100) m.e81 = Constraint(expr= m.i40 - 0.2 * m.i48 <= 0) m.e82 = Constraint(expr= m.i41 - 0.2 * m.i49 <= 0) m.e83 = Constraint(expr= m.i42 - 0.2 * m.i50 <= 0) m.e84 = Constraint(expr= m.i44 - 0.2 * m.i52 <= 0) m.e85 = Constraint(expr= m.i45 - 0.2 * m.i53 <= 0) m.e86 = Constraint(expr= m.i46 - 0.2 * m.i54 <= 0) m.e87 = Constraint(expr= m.i55 == 0) m.e88 = Constraint(expr= m.i56 == 0) m.e89 = Constraint(expr= m.i57 == 0) m.e90 = Constraint(expr= m.i64 == 0) m.e91 = Constraint(expr= m.i65 == 0) m.e92 = Constraint(expr= m.i66 == 0) m.e93 = Constraint(expr= m.i67 + m.i70 <= 2739) m.e94 = Constraint(expr= m.i68 + m.i71 <= 2739) m.e95 = Constraint(expr= m.i69 + m.i72 <= 2607) m.e96 = Constraint(expr= m.i67 + m.i70 >= 2241) m.e97 = Constraint(expr= m.i68 + m.i71 >= 2241) m.e98 = Constraint(expr= m.i69 + m.i72 >= 2133) m.e99 = Constraint(expr= m.i67 + m.i68 + m.i69 + m.i70 + m.i71 + m.i72 >= 7350) m.e100 = Constraint(expr= -(1950 * m.b1 + 4200 * m.b7 + 6600 * m.b13) / (4 * m.b25 + 7 * m.b28) + m.i67 <= 0) m.e101 = Constraint(expr= -(1950 * m.b2 + 4200 * m.b8 + 6600 * m.b14) / (4 * m.b26 + 7 * m.b29) + m.i68 <= 0) m.e102 = Constraint(expr= -(1950 * m.b3 + 4200 * m.b9 + 6600 * m.b15) / (4 * m.b27 + 7 * m.b30) + m.i69 <= 0) m.e103 = Constraint(expr= -(1950 * m.b4 + 4200 * m.b10 + 6600 * m.b16) / (5 * m.b19 + 6 * m.b22) + m.i70 <= 0) m.e104 = Constraint(expr= -(1950 * m.b5 + 4200 * m.b11 + 6600 * m.b17) / (5 * m.b20 + 6 * m.b23) + m.i71 <= 0) m.e105 = Constraint(expr= -(1950 * m.b6 + 4200 * m.b12 + 6600 * m.b18) / (5 * m.b21 + 6 * m.b24) + m.i72 <= 0) m.e106 = Constraint(expr= m.x97 * (m.b1 - m.b2 + 2 * m.b7 - 2 * m.b8 + 3 * m.b13 - 3 * m.b14)**2 - 1e+04 * (m.b1 - m.b2 + 2 * m.b7 - 2 * m.b8 + 3 * m.b13 - 3 * m.b14)**2 >= 0) m.e107 = Constraint(expr= m.x98 * (m.b2 - m.b3 + 2 * m.b8 - 2 * m.b9 + 3 * m.b14 - 3 * m.b15)**2 - 1e+04 * (m.b2 - m.b3 + 2 * m.b8 - 2 * m.b9 + 3 * m.b14 - 3 * m.b15)**2 >= 0) m.e108 = Constraint(expr= m.x99 * (m.b3 + 2 * m.b9 + 3 * m.b15)**2 - 1e+04 * ( m.b3 + 2 * m.b9 + 3 * m.b15)**2 >= 0) m.e109 = Constraint(expr= m.x100 * (m.b4 - m.b5 + 2 * m.b10 - 2 * m.b11 + 3 * m.b16 - 3 * m.b17)**2 - 1e+04 * (m.b4 - m.b5 + 2 * m.b10 - 2 * m.b11 + 3 * m.b16 - 3 * m.b17)**2 >= 0) m.e110 = Constraint(expr= m.x101 * (m.b5 - m.b6 + 2 * m.b11 - 2 * m.b12 + 3 * m.b17 - 3 * m.b18)**2 - 1e+04 * (m.b5 - m.b6 + 2 * m.b11 - 2 * m.b12 + 3 * m.b17 - 3 * m.b18)**2 >= 0) m.e111 = Constraint(expr= m.x102 * (m.b6 + 2 * m.b12 + 3 * m.b18)**2 - 1e+04 * (m.b6 + 2 * m.b12 + 3 * m.b18)**2 >= 0) m.e112 = Constraint(expr= m.x103 * (4 * m.b25 - 4 * m.b26 + 7 * m.b28 - 7 * m.b29)**2 - (4 * m.b25 - 4 * m.b26 + 7 * m.b28 - 7 * m.b29)**2 * (1e+06 + 1000 * m.i48) >= 0) m.e113 = Constraint(expr= m.x104 * (4 * m.b26 - 4 * m.b27 + 7 * m.b29 - 7 * m.b30)**2 - (4 * m.b26 - 4 * m.b27 + 7 * m.b29 - 7 * m.b30)**2 * (1e+06 + 1000 * m.i49) >= 0) m.e114 = Constraint(expr= m.x105 * (4 * m.b27 + 7 * m.b30)**2 - (4 * m.b27 + 7 * m.b30)**2 * (1e+06 + 1000 * m.i50) >= 0) m.e115 = Constraint(expr= m.x106 * (5 * m.b19 - 5 * m.b20 + 6 * m.b22 - 6 * m.b23)**2 - (5 * m.b19 - 5 * m.b20 + 6 * m.b22 - 6 * m.b23)**2 * (1e+06 + 1000 * m.i52) >= 0) m.e116 = Constraint(expr= m.x107 * (5 * m.b20 - 5 * m.b21 + 6 * m.b23 - 6 * m.b24)**2 - (5 * m.b20 - 5 * m.b21 + 6 * m.b23 - 6 * m.b24)**2 * (1e+06 + 1000 * m.i53) >= 0) m.e117 = Constraint(expr= m.x108 * (5 * m.b21 + 6 * m.b24)**2 - (5 * m.b21 + 6 * m.b24)**2 * (1e+06 + 1000 * m.i54) >= 0) m.e118 = Constraint(expr= m.x145 == 0) m.e119 = Constraint(expr= m.x146 == 0) m.e120 = Constraint(expr= m.x147 == 0) m.e121 = Constraint(expr= m.x148 == 0) m.e122 = Constraint(expr= m.x149 == 0) m.e123 = Constraint(expr= m.x150 == 0) m.e124 = Constraint(expr= m.x139 == 0) m.e125 = Constraint(expr= m.x140 == 0) m.e126 = Constraint(expr= m.x141 == 0) m.e127 = Constraint(expr= m.x142 == 0) m.e128 = Constraint(expr= m.x143 == 0) m.e129 = Constraint(expr= m.x144 == 0) m.e130 = Constraint(expr= -1000 * m.i55 - 1000 * m.i61 + m.x133 == 0) m.e131 = Constraint(expr= -1000 * m.i56 - 1000 * m.i62 + m.x134 == 0) m.e132 = Constraint(expr= -1000 * m.i57 - 1000 * m.i63 + m.x135 == 0) m.e133 = Constraint(expr= -1000 * m.i58 - 1000 * m.i64 + m.x136 == 0) m.e134 = Constraint(expr= -1000 * m.i59 - 1000 * m.i65 + m.x137 == 0) m.e135 = Constraint(expr= -1000 * m.i60 - 1000 * m.i66 + m.x138 == 0) m.e136 = Constraint(expr= -m.x97 - m.x100 - m.x103 - m.x106 + m.x130 - m.x133 - m.x136 - m.x139 - m.x142 - m.x145 - m.x148 == 0) m.e137 = Constraint(expr= -m.x98 - m.x101 - m.x104 - m.x107 + m.x131 - m.x134 - m.x137 - m.x140 - m.x143 - m.x146 - m.x149 == 0) m.e138 = Constraint(expr= -m.x99 - m.x102 - m.x105 - m.x108 + m.x132 - m.x135 - m.x138 - m.x141 - m.x144 - m.x147 - m.x150 == 0) m.e139 = Constraint(expr= -315 * m.i40 * m.b7 - 2100 * m.i40 - 420 * m.i40 * m.b13 - 315 * m.i44 * m.b10 - 2100 * m.i44 - 420 * m.i44 * m.b16 - 210 * m.i32 * m.b7 - 1400 * m.i32 - 280 * m.i32 * m.b13 - 210 * m.i36 * m.b10 - 1400 * m.i36 - 280 * m.i36 * m.b16 + m.x127 == 0) m.e140 = Constraint(expr= -315 * m.i41 * m.b8 - 2100 * m.i41 - 420 * m.i41 * m.b14 - 315 * m.i45 * m.b11 - 2100 * m.i45 - 420 * m.i45 * m.b17 - 210 * m.i33 * m.b8 - 1400 * m.i33 - 280 * m.i33 * m.b14 - 210 * m.i37 * m.b11 - 1400 * m.i37 - 280 * m.i37 * m.b17 + m.x128 == 0) m.e141 = Constraint(expr= -315 * m.i42 * m.b9 - 2100 * m.i42 - 420 * m.i42 * m.b15 - 315 * m.i46 * m.b12 - 2100 * m.i46 - 420 * m.i46 * m.b18 - 210 * m.i34 * m.b9 - 1400 * m.i34 - 280 * m.i34 * m.b15 - 210 * m.i38 * m.b12 - 1400 * m.i38 - 280 * m.i38 * m.b18 + m.x129 == 0) m.e142 = Constraint(expr= m.b1 + m.b7 + m.b13 == 1)