# MINLP written by GAMS Convert at 02/17/22 17:19:34 # # Equation counts # Total E G L N X C B # 144 27 6 111 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 122 110 12 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 384 381 3 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,29), initialize=0) m.x2 = Var(within=Reals, bounds=(0,29), initialize=0) m.x3 = Var(within=Reals, bounds=(0,29), initialize=0) m.x4 = Var(within=Reals, bounds=(0,29), initialize=0) m.x5 = Var(within=Reals, bounds=(0,29), initialize=0) m.x6 = Var(within=Reals, bounds=(0,29), initialize=0) m.x7 = Var(within=Reals, bounds=(1,40), initialize=1) m.x8 = Var(within=Reals, bounds=(1,50), initialize=1) m.x9 = Var(within=Reals, bounds=(1,60), initialize=1) m.x10 = Var(within=Reals, bounds=(1,40), initialize=1) m.x11 = Var(within=Reals, bounds=(1,50), initialize=1) m.x12 = Var(within=Reals, bounds=(1,60), initialize=1) m.x13 = Var(within=Reals, bounds=(0,30), initialize=0) m.x14 = Var(within=Reals, bounds=(0,30), initialize=0) m.x15 = Var(within=Reals, bounds=(0,None), initialize=0) m.x16 = Var(within=Reals, bounds=(0,None), initialize=0) m.x17 = Var(within=Reals, bounds=(0,None), initialize=0) m.x18 = Var(within=Reals, bounds=(0,None), initialize=0) m.x19 = Var(within=Reals, bounds=(0,None), initialize=0) m.x20 = Var(within=Reals, bounds=(0,None), initialize=0) m.x21 = Var(within=Reals, bounds=(0,None), initialize=0) m.x22 = Var(within=Reals, bounds=(0,None), initialize=0) m.x23 = Var(within=Reals, bounds=(0,None), initialize=0) m.x24 = Var(within=Reals, bounds=(0,None), initialize=0) m.x25 = Var(within=Reals, bounds=(0,None), initialize=0) m.x26 = Var(within=Reals, bounds=(0,None), initialize=0) m.x27 = Var(within=Reals, bounds=(0,None), initialize=0) m.x28 = Var(within=Reals, bounds=(0,None), initialize=0) m.x29 = Var(within=Reals, bounds=(0,None), initialize=0) m.x30 = Var(within=Reals, bounds=(0,None), initialize=0) m.x31 = Var(within=Reals, bounds=(0,None), initialize=0) m.x32 = Var(within=Reals, bounds=(0,None), initialize=0) m.x33 = Var(within=Reals, bounds=(0,None), initialize=0) m.x34 = Var(within=Reals, bounds=(0,None), initialize=0) m.x35 = Var(within=Reals, bounds=(0,None), initialize=0) m.x36 = Var(within=Reals, bounds=(0,None), initialize=0) m.x37 = Var(within=Reals, bounds=(0,None), initialize=0) m.x38 = Var(within=Reals, bounds=(0,None), initialize=0) m.x39 = Var(within=Reals, bounds=(0,None), initialize=0) m.x40 = Var(within=Reals, bounds=(0,None), initialize=0) m.x41 = Var(within=Reals, bounds=(0,None), initialize=0) m.x42 = Var(within=Reals, bounds=(0,None), initialize=0) m.x43 = Var(within=Reals, bounds=(0,None), initialize=0) m.x44 = Var(within=Reals, bounds=(0,None), initialize=0) m.x45 = Var(within=Reals, bounds=(0,None), initialize=0) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0) m.x47 = Var(within=Reals, bounds=(0,None), initialize=0) m.x48 = Var(within=Reals, bounds=(0,None), initialize=0) m.x49 = Var(within=Reals, bounds=(0,None), initialize=0) m.x50 = Var(within=Reals, bounds=(0,None), initialize=0) m.x51 = Var(within=Reals, bounds=(0,None), initialize=0) m.x52 = Var(within=Reals, bounds=(0,None), initialize=0) m.x53 = Var(within=Reals, bounds=(0,None), initialize=0) m.x54 = Var(within=Reals, bounds=(0,None), initialize=0) m.x55 = Var(within=Reals, bounds=(0,None), initialize=0) m.x56 = Var(within=Reals, bounds=(0,None), initialize=0) m.x57 = Var(within=Reals, bounds=(0,None), initialize=0) m.x58 = Var(within=Reals, bounds=(0,None), initialize=0) m.x59 = Var(within=Reals, bounds=(0,None), initialize=0) m.x60 = Var(within=Reals, bounds=(0,None), initialize=0) m.x61 = Var(within=Reals, bounds=(0,None), initialize=0) m.x62 = Var(within=Reals, bounds=(0,None), initialize=0) m.x63 = Var(within=Reals, bounds=(0,None), initialize=0) m.x64 = Var(within=Reals, bounds=(0,None), initialize=0) m.x65 = Var(within=Reals, bounds=(0,None), initialize=0) m.x66 = Var(within=Reals, bounds=(0,None), initialize=0) m.x67 = Var(within=Reals, bounds=(0,None), initialize=0) m.x68 = Var(within=Reals, bounds=(0,None), initialize=0) m.x69 = Var(within=Reals, bounds=(0,None), initialize=0) m.x70 = Var(within=Reals, bounds=(0,None), initialize=0) m.x71 = Var(within=Reals, bounds=(0,None), initialize=0) m.x72 = Var(within=Reals, bounds=(0,None), initialize=0) m.x73 = Var(within=Reals, bounds=(0,None), initialize=0) m.x74 = Var(within=Reals, bounds=(0,None), initialize=0) m.x75 = Var(within=Reals, bounds=(0,None), initialize=0) m.x76 = Var(within=Reals, bounds=(0,None), initialize=0) m.x77 = Var(within=Reals, bounds=(0,None), initialize=0) m.x78 = Var(within=Reals, bounds=(0,None), initialize=0) m.x79 = Var(within=Reals, bounds=(0,None), initialize=0) m.x80 = Var(within=Reals, bounds=(0,None), initialize=0) m.x81 = Var(within=Reals, bounds=(0,None), initialize=0) m.x82 = Var(within=Reals, bounds=(0,None), initialize=0) m.x83 = Var(within=Reals, bounds=(0,None), initialize=0) m.x84 = Var(within=Reals, 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.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.obj = Objective(sense=minimize, expr= 2 * m.x13 + 2 * m.x14) m.e1 = Constraint(expr= -m.x1 - m.x7 + m.x13 >= 0) m.e2 = Constraint(expr= -m.x2 - m.x8 + m.x13 >= 0) m.e3 = Constraint(expr= -m.x3 - m.x9 + m.x13 >= 0) m.e4 = Constraint(expr= -m.x4 - m.x10 + m.x14 >= 0) m.e5 = Constraint(expr= -m.x5 - m.x11 + m.x14 >= 0) m.e6 = Constraint(expr= -m.x6 - m.x12 + m.x14 >= 0) m.e7 = Constraint(expr= 40 / m.x10 - m.x7 <= 0) m.e8 = Constraint(expr= 50 / m.x11 - m.x8 <= 0) m.e9 = Constraint(expr= 60 / m.x12 - m.x9 <= 0) m.e10 = Constraint(expr= m.x1 - m.x15 - m.x17 - m.x19 - m.x21 == 0) m.e11 = Constraint(expr= m.x1 - m.x16 - m.x18 - m.x20 - m.x22 == 0) m.e12 = Constraint(expr= m.x2 - m.x23 - m.x25 - m.x27 - m.x29 == 0) m.e13 = Constraint(expr= m.x2 - m.x24 - m.x26 - m.x28 - m.x30 == 0) m.e14 = Constraint(expr= m.x3 - m.x31 - m.x33 - m.x35 - m.x37 == 0) m.e15 = Constraint(expr= m.x3 - m.x32 - m.x34 - m.x36 - m.x38 == 0) m.e16 = Constraint(expr= m.x4 - m.x39 - m.x41 - m.x43 - m.x45 == 0) m.e17 = Constraint(expr= m.x4 - m.x40 - m.x42 - m.x44 - m.x46 == 0) m.e18 = Constraint(expr= m.x5 - m.x47 - m.x49 - m.x51 - m.x53 == 0) m.e19 = Constraint(expr= m.x5 - m.x48 - m.x50 - m.x52 - m.x54 == 0) m.e20 = Constraint(expr= m.x6 - m.x55 - m.x57 - m.x59 - m.x61 == 0) m.e21 = Constraint(expr= m.x6 - m.x56 - m.x58 - m.x60 - m.x62 == 0) m.e22 = Constraint(expr= m.x7 - m.x63 - m.x65 - m.x67 - m.x69 == 0) m.e23 = Constraint(expr= m.x7 - m.x64 - m.x66 - m.x68 - m.x70 == 0) m.e24 = Constraint(expr= m.x8 - m.x71 - m.x73 - m.x75 - m.x77 == 0) m.e25 = Constraint(expr= m.x8 - m.x72 - m.x74 - m.x76 - m.x78 == 0) m.e26 = Constraint(expr= m.x9 - m.x79 - m.x81 - m.x83 - m.x85 == 0) m.e27 = Constraint(expr= m.x9 - m.x80 - m.x82 - m.x84 - m.x86 == 0) m.e28 = Constraint(expr= m.x10 - m.x87 - m.x89 - m.x91 - m.x93 == 0) m.e29 = Constraint(expr= m.x10 - m.x88 - m.x90 - m.x92 - m.x94 == 0) m.e30 = Constraint(expr= m.x11 - m.x95 - m.x97 - m.x99 - m.x101 == 0) m.e31 = Constraint(expr= m.x11 - m.x96 - m.x98 - m.x100 - m.x102 == 0) m.e32 = Constraint(expr= m.x12 - m.x103 - m.x105 - m.x107 - m.x109 == 0) m.e33 = Constraint(expr= m.x12 - m.x104 - m.x106 - m.x108 - m.x110 == 0) m.e34 = Constraint(expr= m.x15 - 29 * m.b111 <= 0) m.e35 = Constraint(expr= m.x16 - 29 * m.b112 <= 0) m.e36 = Constraint(expr= m.x17 - 29 * m.b114 <= 0) m.e37 = Constraint(expr= m.x18 - 29 * m.b115 <= 0) m.e38 = Constraint(expr= m.x19 - 29 * m.b117 <= 0) m.e39 = Constraint(expr= m.x20 - 29 * m.b118 <= 0) m.e40 = Constraint(expr= m.x21 - 29 * m.b120 <= 0) m.e41 = Constraint(expr= m.x22 - 29 * m.b121 <= 0) m.e42 = Constraint(expr= m.x23 - 29 * m.b111 <= 0) m.e43 = Constraint(expr= m.x24 - 29 * m.b113 <= 0) m.e44 = Constraint(expr= m.x25 - 29 * m.b114 <= 0) m.e45 = Constraint(expr= m.x26 - 29 * m.b116 <= 0) m.e46 = Constraint(expr= m.x27 - 29 * m.b117 <= 0) m.e47 = Constraint(expr= m.x28 - 29 * m.b119 <= 0) m.e48 = Constraint(expr= m.x29 - 29 * m.b120 <= 0) m.e49 = Constraint(expr= m.x30 - 29 * m.b122 <= 0) m.e50 = Constraint(expr= m.x31 - 29 * m.b112 <= 0) m.e51 = Constraint(expr= m.x32 - 29 * m.b113 <= 0) m.e52 = Constraint(expr= m.x33 - 29 * m.b115 <= 0) m.e53 = Constraint(expr= m.x34 - 29 * m.b116 <= 0) m.e54 = Constraint(expr= m.x35 - 29 * m.b118 <= 0) m.e55 = Constraint(expr= m.x36 - 29 * m.b119 <= 0) m.e56 = Constraint(expr= m.x37 - 29 * m.b121 <= 0) m.e57 = Constraint(expr= m.x38 - 29 * m.b122 <= 0) m.e58 = Constraint(expr= m.x39 - 29 * m.b111 <= 0) m.e59 = Constraint(expr= m.x40 - 29 * m.b112 <= 0) m.e60 = Constraint(expr= m.x41 - 29 * m.b114 <= 0) m.e61 = Constraint(expr= m.x42 - 29 * m.b115 <= 0) m.e62 = Constraint(expr= m.x43 - 29 * m.b117 <= 0) m.e63 = Constraint(expr= m.x44 - 29 * m.b118 <= 0) m.e64 = Constraint(expr= m.x45 - 29 * m.b120 <= 0) m.e65 = Constraint(expr= m.x46 - 29 * m.b121 <= 0) m.e66 = Constraint(expr= m.x47 - 29 * m.b111 <= 0) m.e67 = Constraint(expr= m.x48 - 29 * m.b113 <= 0) m.e68 = Constraint(expr= m.x49 - 29 * m.b114 <= 0) m.e69 = Constraint(expr= m.x50 - 29 * m.b116 <= 0) m.e70 = Constraint(expr= m.x51 - 29 * m.b117 <= 0) m.e71 = Constraint(expr= m.x52 - 29 * m.b119 <= 0) m.e72 = Constraint(expr= m.x53 - 29 * m.b120 <= 0) m.e73 = Constraint(expr= m.x54 - 29 * m.b122 <= 0) m.e74 = Constraint(expr= m.x55 - 29 * m.b112 <= 0) m.e75 = Constraint(expr= m.x56 - 29 * m.b113 <= 0) m.e76 = Constraint(expr= m.x57 - 29 * m.b115 <= 0) m.e77 = Constraint(expr= m.x58 - 29 * m.b116 <= 0) m.e78 = Constraint(expr= m.x59 - 29 * m.b118 <= 0) m.e79 = Constraint(expr= m.x60 - 29 * m.b119 <= 0) m.e80 = Constraint(expr= m.x61 - 29 * m.b121 <= 0) m.e81 = Constraint(expr= m.x62 - 29 * m.b122 <= 0) m.e82 = Constraint(expr= m.x63 - 40 * m.b111 <= 0) m.e83 = Constraint(expr= m.x64 - 40 * m.b112 <= 0) m.e84 = Constraint(expr= m.x65 - 40 * m.b114 <= 0) m.e85 = Constraint(expr= m.x66 - 40 * m.b115 <= 0) m.e86 = Constraint(expr= m.x67 - 40 * m.b117 <= 0) m.e87 = Constraint(expr= m.x68 - 40 * m.b118 <= 0) m.e88 = Constraint(expr= m.x69 - 40 * m.b120 <= 0) m.e89 = Constraint(expr= m.x70 - 40 * m.b121 <= 0) m.e90 = Constraint(expr= m.x71 - 40 * m.b111 <= 0) m.e91 = Constraint(expr= m.x72 - 50 * m.b113 <= 0) m.e92 = Constraint(expr= m.x73 - 40 * m.b114 <= 0) m.e93 = Constraint(expr= m.x74 - 50 * m.b116 <= 0) m.e94 = Constraint(expr= m.x75 - 40 * m.b117 <= 0) m.e95 = Constraint(expr= m.x76 - 50 * m.b119 <= 0) m.e96 = Constraint(expr= m.x77 - 40 * m.b120 <= 0) m.e97 = Constraint(expr= m.x78 - 50 * m.b122 <= 0) m.e98 = Constraint(expr= m.x79 - 40 * m.b112 <= 0) m.e99 = Constraint(expr= m.x80 - 50 * m.b113 <= 0) m.e100 = Constraint(expr= m.x81 - 40 * m.b115 <= 0) m.e101 = Constraint(expr= m.x82 - 50 * m.b116 <= 0) m.e102 = Constraint(expr= m.x83 - 40 * m.b118 <= 0) m.e103 = Constraint(expr= m.x84 - 50 * m.b119 <= 0) m.e104 = Constraint(expr= m.x85 - 40 * m.b121 <= 0) m.e105 = Constraint(expr= m.x86 - 50 * m.b122 <= 0) m.e106 = Constraint(expr= m.x87 - 40 * m.b111 <= 0) m.e107 = Constraint(expr= m.x88 - 40 * m.b112 <= 0) m.e108 = Constraint(expr= m.x89 - 40 * m.b114 <= 0) m.e109 = Constraint(expr= m.x90 - 40 * m.b115 <= 0) m.e110 = Constraint(expr= m.x91 - 40 * m.b117 <= 0) m.e111 = Constraint(expr= m.x92 - 40 * m.b118 <= 0) m.e112 = Constraint(expr= m.x93 - 40 * m.b120 <= 0) m.e113 = Constraint(expr= m.x94 - 40 * m.b121 <= 0) m.e114 = Constraint(expr= m.x95 - 40 * m.b111 <= 0) m.e115 = Constraint(expr= m.x96 - 50 * m.b113 <= 0) m.e116 = Constraint(expr= m.x97 - 40 * m.b114 <= 0) m.e117 = Constraint(expr= m.x98 - 50 * m.b116 <= 0) m.e118 = Constraint(expr= m.x99 - 40 * m.b117 <= 0) m.e119 = Constraint(expr= m.x100 - 50 * m.b119 <= 0) m.e120 = Constraint(expr= m.x101 - 40 * m.b120 <= 0) m.e121 = Constraint(expr= m.x102 - 50 * m.b122 <= 0) m.e122 = Constraint(expr= m.x103 - 40 * m.b112 <= 0) m.e123 = Constraint(expr= m.x104 - 50 * m.b113 <= 0) m.e124 = Constraint(expr= m.x105 - 40 * m.b115 <= 0) m.e125 = Constraint(expr= m.x106 - 50 * m.b116 <= 0) m.e126 = Constraint(expr= m.x107 - 40 * m.b118 <= 0) m.e127 = Constraint(expr= m.x108 - 50 * m.b119 <= 0) m.e128 = Constraint(expr= m.x109 - 40 * m.b121 <= 0) m.e129 = Constraint(expr= m.x110 - 50 * m.b122 <= 0) m.e130 = Constraint(expr= m.x15 - m.x23 + m.x63 <= 0) m.e131 = Constraint(expr= m.x16 - m.x31 + m.x64 <= 0) m.e132 = Constraint(expr= m.x24 - m.x32 + m.x72 <= 0) m.e133 = Constraint(expr= -m.x17 + m.x25 + m.x73 <= 0) m.e134 = Constraint(expr= -m.x18 + m.x33 + m.x81 <= 0) m.e135 = Constraint(expr= -m.x26 + m.x34 + m.x82 <= 0) m.e136 = Constraint(expr= m.x43 - m.x51 + m.x91 <= 0) m.e137 = Constraint(expr= m.x44 - m.x59 + m.x92 <= 0) m.e138 = Constraint(expr= m.x52 - m.x60 + m.x100 <= 0) m.e139 = Constraint(expr= -m.x45 + m.x53 + m.x101 <= 0) m.e140 = Constraint(expr= -m.x46 + m.x61 + m.x109 <= 0) m.e141 = Constraint(expr= -m.x54 + m.x62 + m.x110 <= 0) m.e142 = Constraint(expr= m.b111 + m.b114 + m.b117 + m.b120 == 1) m.e143 = Constraint(expr= m.b112 + m.b115 + m.b118 + m.b121 == 1) m.e144 = Constraint(expr= m.b113 + m.b116 + m.b119 + m.b122 == 1)