# MINLP written by GAMS Convert at 02/17/22 17:19:05 # # Equation counts # Total E G L N X C B # 74 30 6 38 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 130 30 100 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 336 286 50 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,5), initialize=0) m.x2 = Var(within=Reals, bounds=(0,5), initialize=0) m.x3 = Var(within=Reals, bounds=(0,5), initialize=0) m.x4 = Var(within=Reals, bounds=(0,5), initialize=0) m.x5 = Var(within=Reals, bounds=(0,5), initialize=0) m.x6 = Var(within=Reals, bounds=(0,5), initialize=0) m.x7 = Var(within=Reals, bounds=(0,5), initialize=0) m.x8 = Var(within=Reals, bounds=(0,5), initialize=0) m.x9 = Var(within=Reals, bounds=(0,5), initialize=0) m.x10 = Var(within=Reals, bounds=(0,5), initialize=0) m.x11 = Var(within=Reals, bounds=(0,5), initialize=0) m.x12 = Var(within=Reals, bounds=(0,5), initialize=0) m.x13 = Var(within=Reals, bounds=(0,5), initialize=0) m.x14 = Var(within=Reals, bounds=(0,5), initialize=0) m.x15 = Var(within=Reals, bounds=(0,5), initialize=0) m.x16 = Var(within=Reals, bounds=(0,5), initialize=0) m.x17 = Var(within=Reals, bounds=(0,5), initialize=0) m.x18 = Var(within=Reals, bounds=(0,5), initialize=0) m.x19 = Var(within=Reals, bounds=(0,5), initialize=0) m.x20 = Var(within=Reals, bounds=(0,5), initialize=0) m.x21 = Var(within=Reals, bounds=(0,5), initialize=0) m.x22 = Var(within=Reals, bounds=(0,5), initialize=0) m.x23 = Var(within=Reals, bounds=(0,5), initialize=0) m.x24 = Var(within=Reals, bounds=(0,5), initialize=0) m.x25 = Var(within=Reals, bounds=(0,5), initialize=0) m.b26 = Var(within=Binary, bounds=(0,1), initialize=0) m.b27 = Var(within=Binary, bounds=(0,1), initialize=0) m.b28 = Var(within=Binary, bounds=(0,1), initialize=0) m.b29 = Var(within=Binary, bounds=(0,1), initialize=0) m.b30 = Var(within=Binary, bounds=(0,1), initialize=0) m.b31 = Var(within=Binary, bounds=(0,1), initialize=0) m.b32 = Var(within=Binary, bounds=(0,1), initialize=0) m.b33 = Var(within=Binary, bounds=(0,1), initialize=0) m.b34 = Var(within=Binary, bounds=(0,1), initialize=0) m.b35 = Var(within=Binary, bounds=(0,1), initialize=0) m.b36 = Var(within=Binary, bounds=(0,1), initialize=0) m.b37 = Var(within=Binary, bounds=(0,1), initialize=0) m.b38 = Var(within=Binary, bounds=(0,1), initialize=0) m.b39 = Var(within=Binary, bounds=(0,1), initialize=0) m.b40 = Var(within=Binary, bounds=(0,1), initialize=0) m.b41 = Var(within=Binary, bounds=(0,1), initialize=0) m.b42 = Var(within=Binary, bounds=(0,1), initialize=0) m.b43 = Var(within=Binary, bounds=(0,1), initialize=0) m.b44 = Var(within=Binary, bounds=(0,1), initialize=0) m.b45 = Var(within=Binary, bounds=(0,1), initialize=0) m.b46 = Var(within=Binary, bounds=(0,1), initialize=0) m.b47 = Var(within=Binary, bounds=(0,1), initialize=0) m.b48 = Var(within=Binary, bounds=(0,1), initialize=0) m.b49 = Var(within=Binary, bounds=(0,1), initialize=0) m.b50 = Var(within=Binary, bounds=(0,1), initialize=0) m.b51 = Var(within=Binary, bounds=(0,1), initialize=0) m.b52 = Var(within=Binary, bounds=(0,1), initialize=0) m.b53 = Var(within=Binary, bounds=(0,1), initialize=0) m.b54 = Var(within=Binary, bounds=(0,1), initialize=0) m.b55 = Var(within=Binary, bounds=(0,1), initialize=0) m.b56 = Var(within=Binary, bounds=(0,1), initialize=0) m.b57 = Var(within=Binary, bounds=(0,1), initialize=0) m.b58 = Var(within=Binary, bounds=(0,1), initialize=0) m.b59 = Var(within=Binary, bounds=(0,1), initialize=0) m.b60 = Var(within=Binary, bounds=(0,1), initialize=0) m.b61 = Var(within=Binary, bounds=(0,1), initialize=0) m.b62 = Var(within=Binary, bounds=(0,1), initialize=0) m.b63 = Var(within=Binary, bounds=(0,1), initialize=0) m.b64 = Var(within=Binary, bounds=(0,1), initialize=0) m.b65 = Var(within=Binary, bounds=(0,1), initialize=0) m.b66 = Var(within=Binary, bounds=(0,1), initialize=0) m.b67 = Var(within=Binary, bounds=(0,1), initialize=0) m.b68 = Var(within=Binary, bounds=(0,1), initialize=0) m.b69 = Var(within=Binary, bounds=(0,1), initialize=0) m.b70 = Var(within=Binary, bounds=(0,1), initialize=0) m.b71 = Var(within=Binary, bounds=(0,1), initialize=0) m.b72 = Var(within=Binary, bounds=(0,1), initialize=0) m.b73 = Var(within=Binary, bounds=(0,1), initialize=0) m.b74 = Var(within=Binary, bounds=(0,1), initialize=0) m.b75 = Var(within=Binary, bounds=(0,1), initialize=0) m.b76 = Var(within=Binary, bounds=(0,1), initialize=0) m.b77 = Var(within=Binary, bounds=(0,1), initialize=0) m.b78 = Var(within=Binary, bounds=(0,1), initialize=0) m.b79 = Var(within=Binary, bounds=(0,1), initialize=0) m.b80 = Var(within=Binary, bounds=(0,1), initialize=0) m.b81 = Var(within=Binary, bounds=(0,1), initialize=0) m.b82 = Var(within=Binary, bounds=(0,1), initialize=0) m.b83 = Var(within=Binary, bounds=(0,1), initialize=0) m.b84 = Var(within=Binary, bounds=(0,1), initialize=0) m.b85 = Var(within=Binary, bounds=(0,1), initialize=0) 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.b91 = Var(within=Binary, bounds=(0,1), initialize=0) m.b92 = Var(within=Binary, bounds=(0,1), initialize=0) m.b93 = Var(within=Binary, bounds=(0,1), initialize=0) m.b94 = Var(within=Binary, bounds=(0,1), initialize=0) m.b95 = Var(within=Binary, bounds=(0,1), initialize=0) m.b96 = Var(within=Binary, bounds=(0,1), initialize=0) m.b97 = Var(within=Binary, bounds=(0,1), initialize=0) m.b98 = Var(within=Binary, bounds=(0,1), initialize=0) m.b99 = Var(within=Binary, bounds=(0,1), initialize=0) m.b100 = Var(within=Binary, bounds=(0,1), initialize=0) m.b101 = Var(within=Binary, bounds=(0,1), initialize=0) m.b102 = Var(within=Binary, bounds=(0,1), initialize=0) m.b103 = Var(within=Binary, bounds=(0,1), initialize=0) m.b104 = Var(within=Binary, bounds=(0,1), initialize=0) m.b105 = Var(within=Binary, bounds=(0,1), initialize=0) m.x106 = Var(within=Reals, bounds=(0,15), initialize=0) m.x107 = Var(within=Reals, bounds=(0,12), initialize=0) m.x108 = Var(within=Reals, bounds=(0,9), initialize=0) m.x109 = Var(within=Reals, bounds=(0,6), initialize=0) m.x110 = Var(within=Reals, bounds=(0,6), initialize=0) m.b111 = Var(within=Binary, bounds=(0,1), initialize=0) m.b112 = Var(within=Binary, bounds=(0,1), initialize=0) m.b113 = Var(within=Binary, bounds=(0,1), initialize=0) m.b114 = Var(within=Binary, bounds=(0,1), initialize=0) m.b115 = Var(within=Binary, bounds=(0,1), initialize=0) m.b116 = Var(within=Binary, bounds=(0,1), initialize=0) m.b117 = Var(within=Binary, bounds=(0,1), initialize=0) m.b118 = Var(within=Binary, bounds=(0,1), initialize=0) m.b119 = Var(within=Binary, bounds=(0,1), initialize=0) m.b120 = Var(within=Binary, bounds=(0,1), initialize=0) m.b121 = Var(within=Binary, bounds=(0,1), initialize=0) m.b122 = Var(within=Binary, bounds=(0,1), initialize=0) m.b123 = Var(within=Binary, bounds=(0,1), initialize=0) m.b124 = Var(within=Binary, bounds=(0,1), initialize=0) m.b125 = Var(within=Binary, bounds=(0,1), initialize=0) m.b126 = Var(within=Binary, bounds=(0,1), initialize=0) m.b127 = Var(within=Binary, bounds=(0,1), initialize=0) m.b128 = Var(within=Binary, bounds=(0,1), initialize=0) m.b129 = Var(within=Binary, bounds=(0,1), initialize=0) m.b130 = Var(within=Binary, bounds=(0,1), initialize=0) m.obj = Objective(sense=minimize, expr= 0.1 * m.b101 + 0.2 * m.b102 + 0.3 * m.b103 + 0.4 * m.b104 + 0.5 * m.b105 + m.x106 + m.x107 + m.x108 + m.x109 + m.x110) m.e1 = Constraint(expr= m.x106 * m.x1 + m.x107 * m.x2 + m.x108 * m.x3 + m.x109 * m.x4 + m.x110 * m.x5 >= 12) m.e2 = Constraint(expr= m.x106 * m.x6 + m.x107 * m.x7 + m.x108 * m.x8 + m.x109 * m.x9 + m.x110 * m.x10 >= 6) m.e3 = Constraint(expr= m.x106 * m.x11 + m.x107 * m.x12 + m.x108 * m.x13 + m.x109 * m.x14 + m.x110 * m.x15 >= 15) m.e4 = Constraint(expr= m.x106 * m.x16 + m.x107 * m.x17 + m.x108 * m.x18 + m.x109 * m.x19 + m.x110 * m.x20 >= 6) m.e5 = Constraint(expr= m.x106 * m.x21 + m.x107 * m.x22 + m.x108 * m.x23 + m.x109 * m.x24 + m.x110 * m.x25 >= 9) m.e6 = Constraint(expr= -330 * m.x1 - 360 * m.x6 - 370 * m.x11 - 415 * m.x16 - 435 * m.x21 + 1800 * m.b101 <= 0) m.e7 = Constraint(expr= -330 * m.x2 - 360 * m.x7 - 370 * m.x12 - 415 * m.x17 - 435 * m.x22 + 1800 * m.b102 <= 0) m.e8 = Constraint(expr= -330 * m.x3 - 360 * m.x8 - 370 * m.x13 - 415 * m.x18 - 435 * m.x23 + 1800 * m.b103 <= 0) m.e9 = Constraint(expr= -330 * m.x4 - 360 * m.x9 - 370 * m.x14 - 415 * m.x19 - 435 * m.x24 + 1800 * m.b104 <= 0) m.e10 = Constraint(expr= -330 * m.x5 - 360 * m.x10 - 370 * m.x15 - 415 * m.x20 - 435 * m.x25 + 1800 * m.b105 <= 0) m.e11 = Constraint(expr= 330 * m.x1 + 360 * m.x6 + 370 * m.x11 + 415 * m.x16 + 435 * m.x21 - 2000 * m.b101 <= 0) m.e12 = Constraint(expr= 330 * m.x2 + 360 * m.x7 + 370 * m.x12 + 415 * m.x17 + 435 * m.x22 - 2000 * m.b102 <= 0) m.e13 = Constraint(expr= 330 * m.x3 + 360 * m.x8 + 370 * m.x13 + 415 * m.x18 + 435 * m.x23 - 2000 * m.b103 <= 0) m.e14 = Constraint(expr= 330 * m.x4 + 360 * m.x9 + 370 * m.x14 + 415 * m.x19 + 435 * m.x24 - 2000 * m.b104 <= 0) m.e15 = Constraint(expr= 330 * m.x5 + 360 * m.x10 + 370 * m.x15 + 415 * m.x20 + 435 * m.x25 - 2000 * m.b105 <= 0) m.e16 = Constraint(expr= -m.x1 - m.x6 - m.x11 - m.x16 - m.x21 + m.b101 <= 0) m.e17 = Constraint(expr= -m.x2 - m.x7 - m.x12 - m.x17 - m.x22 + m.b102 <= 0) m.e18 = Constraint(expr= -m.x3 - m.x8 - m.x13 - m.x18 - m.x23 + m.b103 <= 0) m.e19 = Constraint(expr= -m.x4 - m.x9 - m.x14 - m.x19 - m.x24 + m.b104 <= 0) m.e20 = Constraint(expr= -m.x5 - m.x10 - m.x15 - m.x20 - m.x25 + m.b105 <= 0) m.e21 = Constraint(expr= m.x1 + m.x6 + m.x11 + m.x16 + m.x21 - 5 * m.b101 <= 0) m.e22 = Constraint(expr= m.x2 + m.x7 + m.x12 + m.x17 + m.x22 - 5 * m.b102 <= 0) m.e23 = Constraint(expr= m.x3 + m.x8 + m.x13 + m.x18 + m.x23 - 5 * m.b103 <= 0) m.e24 = Constraint(expr= m.x4 + m.x9 + m.x14 + m.x19 + m.x24 - 5 * m.b104 <= 0) m.e25 = Constraint(expr= m.x5 + m.x10 + m.x15 + m.x20 + m.x25 - 5 * m.b105 <= 0) m.e26 = Constraint(expr= m.b101 - m.x106 <= 0) m.e27 = Constraint(expr= m.b102 - m.x107 <= 0) m.e28 = Constraint(expr= m.b103 - m.x108 <= 0) m.e29 = Constraint(expr= m.b104 - m.x109 <= 0) m.e30 = Constraint(expr= m.b105 - m.x110 <= 0) m.e31 = Constraint(expr= -15 * m.b101 + m.x106 <= 0) m.e32 = Constraint(expr= -12 * m.b102 + m.x107 <= 0) m.e33 = Constraint(expr= -9 * m.b103 + m.x108 <= 0) m.e34 = Constraint(expr= -6 * m.b104 + m.x109 <= 0) m.e35 = Constraint(expr= -6 * m.b105 + m.x110 <= 0) m.e36 = Constraint(expr= m.x106 + m.x107 + m.x108 + m.x109 + m.x110 >= 10) m.e37 = Constraint(expr= -m.b101 + m.b102 <= 0) m.e38 = Constraint(expr= -m.b102 + m.b103 <= 0) m.e39 = Constraint(expr= -m.b103 + m.b104 <= 0) m.e40 = Constraint(expr= -m.b104 + m.b105 <= 0) m.e41 = Constraint(expr= -m.x106 + m.x107 <= 0) m.e42 = Constraint(expr= -m.x107 + m.x108 <= 0) m.e43 = Constraint(expr= -m.x108 + m.x109 <= 0) m.e44 = Constraint(expr= -m.x109 + m.x110 <= 0) m.e45 = Constraint(expr= m.x1 - m.b26 - 2 * m.b27 - 4 * m.b28 == 0) m.e46 = Constraint(expr= m.x2 - m.b29 - 2 * m.b30 - 4 * m.b31 == 0) m.e47 = Constraint(expr= m.x3 - m.b32 - 2 * m.b33 - 4 * m.b34 == 0) m.e48 = Constraint(expr= m.x4 - m.b35 - 2 * m.b36 - 4 * m.b37 == 0) m.e49 = Constraint(expr= m.x5 - m.b38 - 2 * m.b39 - 4 * m.b40 == 0) m.e50 = Constraint(expr= m.x6 - m.b41 - 2 * m.b42 - 4 * m.b43 == 0) m.e51 = Constraint(expr= m.x7 - m.b44 - 2 * m.b45 - 4 * m.b46 == 0) m.e52 = Constraint(expr= m.x8 - m.b47 - 2 * m.b48 - 4 * m.b49 == 0) m.e53 = Constraint(expr= m.x9 - m.b50 - 2 * m.b51 - 4 * m.b52 == 0) m.e54 = Constraint(expr= m.x10 - m.b53 - 2 * m.b54 - 4 * m.b55 == 0) m.e55 = Constraint(expr= m.x11 - m.b56 - 2 * m.b57 - 4 * m.b58 == 0) m.e56 = Constraint(expr= m.x12 - m.b59 - 2 * m.b60 - 4 * m.b61 == 0) m.e57 = Constraint(expr= m.x13 - m.b62 - 2 * m.b63 - 4 * m.b64 == 0) m.e58 = Constraint(expr= m.x14 - m.b65 - 2 * m.b66 - 4 * m.b67 == 0) m.e59 = Constraint(expr= m.x15 - m.b68 - 2 * m.b69 - 4 * m.b70 == 0) m.e60 = Constraint(expr= m.x16 - m.b71 - 2 * m.b72 - 4 * m.b73 == 0) m.e61 = Constraint(expr= m.x17 - m.b74 - 2 * m.b75 - 4 * m.b76 == 0) m.e62 = Constraint(expr= m.x18 - m.b77 - 2 * m.b78 - 4 * m.b79 == 0) m.e63 = Constraint(expr= m.x19 - m.b80 - 2 * m.b81 - 4 * m.b82 == 0) m.e64 = Constraint(expr= m.x20 - m.b83 - 2 * m.b84 - 4 * m.b85 == 0) m.e65 = Constraint(expr= m.x21 - m.b86 - 2 * m.b87 - 4 * m.b88 == 0) m.e66 = Constraint(expr= m.x22 - m.b89 - 2 * m.b90 - 4 * m.b91 == 0) m.e67 = Constraint(expr= m.x23 - m.b92 - 2 * m.b93 - 4 * m.b94 == 0) m.e68 = Constraint(expr= m.x24 - m.b95 - 2 * m.b96 - 4 * m.b97 == 0) m.e69 = Constraint(expr= m.x25 - m.b98 - 2 * m.b99 - 4 * m.b100 == 0) m.e70 = Constraint(expr= m.x106 - m.b111 - 2 * m.b112 - 4 * m.b113 - 8 * m.b114 == 0) m.e71 = Constraint(expr= m.x107 - m.b115 - 2 * m.b116 - 4 * m.b117 - 8 * m.b118 == 0) m.e72 = Constraint(expr= m.x108 - m.b119 - 2 * m.b120 - 4 * m.b121 - 8 * m.b122 == 0) m.e73 = Constraint(expr= m.x109 - m.b123 - 2 * m.b124 - 4 * m.b125 - 8 * m.b126 == 0) m.e74 = Constraint(expr= m.x110 - m.b127 - 2 * m.b128 - 4 * m.b129 - 8 * m.b130 == 0)