# NLP written by GAMS Convert at 02/17/22 17:21:47 # # Equation counts # Total E G L N X C B # 109 70 0 39 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 72 72 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 486 358 128 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,75), initialize=0) m.x2 = Var(within=Reals, bounds=(0,75), initialize=0) m.x3 = Var(within=Reals, bounds=(0,75), initialize=0) m.x4 = Var(within=Reals, bounds=(0,75), initialize=0) m.x5 = Var(within=Reals, bounds=(0,75), initialize=0) m.x6 = Var(within=Reals, bounds=(0,75), initialize=0) m.x7 = Var(within=Reals, bounds=(0,75), initialize=0) m.x8 = Var(within=Reals, bounds=(0,75), initialize=0) m.x9 = Var(within=Reals, bounds=(0,10), initialize=0) m.x10 = Var(within=Reals, bounds=(0,25), initialize=0) m.x11 = Var(within=Reals, bounds=(0,30), initialize=0) m.x12 = Var(within=Reals, bounds=(0,10), initialize=0) m.x13 = Var(within=Reals, bounds=(0,10), initialize=0) m.x14 = Var(within=Reals, bounds=(0,25), initialize=0) m.x15 = Var(within=Reals, bounds=(0,30), initialize=0) m.x16 = Var(within=Reals, bounds=(0,10), initialize=0) m.x17 = Var(within=Reals, bounds=(0,10), initialize=0) m.x18 = Var(within=Reals, bounds=(0,25), initialize=0) m.x19 = Var(within=Reals, bounds=(0,30), initialize=0) m.x20 = Var(within=Reals, bounds=(0,10), initialize=0) m.x21 = Var(within=Reals, bounds=(0,1), initialize=0) m.x22 = Var(within=Reals, bounds=(0,1), initialize=0) m.x23 = Var(within=Reals, bounds=(0,1), initialize=0) m.x24 = Var(within=Reals, bounds=(0,1), initialize=0) m.x25 = Var(within=Reals, bounds=(0,1), initialize=0) m.x26 = Var(within=Reals, bounds=(0,1), initialize=0) m.x27 = Var(within=Reals, bounds=(0,1), initialize=0) m.x28 = Var(within=Reals, bounds=(0,1), initialize=0) m.x29 = Var(within=Reals, bounds=(0,1), initialize=0) m.x30 = Var(within=Reals, bounds=(0,1), initialize=0) m.x31 = Var(within=Reals, bounds=(0,1), initialize=0) m.x32 = Var(within=Reals, bounds=(0,1), initialize=0) m.x33 = Var(within=Reals, bounds=(0,1), initialize=0) m.x34 = Var(within=Reals, bounds=(0,1), initialize=0) m.x35 = Var(within=Reals, bounds=(0,1), initialize=0) m.x36 = Var(within=Reals, bounds=(0,1), initialize=0) m.x37 = Var(within=Reals, bounds=(0,1), initialize=0) m.x38 = Var(within=Reals, bounds=(0,1), initialize=0) m.x39 = Var(within=Reals, bounds=(0,1), initialize=0) m.x40 = Var(within=Reals, bounds=(0,1), initialize=0) m.x41 = Var(within=Reals, bounds=(0,10), initialize=0) m.x42 = Var(within=Reals, bounds=(0,25), initialize=0) m.x43 = Var(within=Reals, bounds=(0,30), initialize=0) m.x44 = Var(within=Reals, bounds=(0,10), initialize=0) m.x45 = Var(within=Reals, bounds=(0,10), initialize=0) m.x46 = Var(within=Reals, bounds=(0,25), initialize=0) m.x47 = Var(within=Reals, bounds=(0,30), initialize=0) m.x48 = Var(within=Reals, bounds=(0,10), initialize=0) m.x49 = Var(within=Reals, bounds=(0,10), initialize=0) m.x50 = Var(within=Reals, bounds=(0,25), initialize=0) m.x51 = Var(within=Reals, bounds=(0,30), initialize=0) m.x52 = Var(within=Reals, bounds=(0,10), initialize=0) m.x53 = Var(within=Reals, bounds=(0,10), initialize=0) m.x54 = Var(within=Reals, bounds=(0,25), initialize=0) m.x55 = Var(within=Reals, bounds=(0,30), initialize=0) m.x56 = Var(within=Reals, bounds=(0,10), initialize=0) m.x57 = Var(within=Reals, bounds=(0,10), initialize=0) m.x58 = Var(within=Reals, bounds=(0,25), initialize=0) m.x59 = Var(within=Reals, bounds=(0,30), initialize=0) m.x60 = Var(within=Reals, bounds=(0,10), initialize=0) m.x61 = Var(within=Reals, bounds=(0,10), initialize=0) m.x62 = Var(within=Reals, bounds=(0,25), initialize=0) m.x63 = Var(within=Reals, bounds=(0,30), initialize=0) m.x64 = Var(within=Reals, bounds=(0,10), initialize=0) m.x65 = Var(within=Reals, bounds=(0,10), initialize=0) m.x66 = Var(within=Reals, bounds=(0,25), initialize=0) m.x67 = Var(within=Reals, bounds=(0,30), initialize=0) m.x68 = Var(within=Reals, bounds=(0,10), initialize=0) m.x69 = Var(within=Reals, bounds=(0,10), initialize=0) m.x70 = Var(within=Reals, bounds=(0,25), initialize=0) m.x71 = Var(within=Reals, bounds=(0,30), initialize=0) m.x72 = Var(within=Reals, bounds=(0,10), initialize=0) m.obj = Objective(sense=minimize, expr= -9 * m.x41 - 18 * m.x42 - 8 * m.x43 - 3 * m.x44 - 13 * m.x45 - 22 * m.x46 - 12 * m.x47 - 7 * m.x48 - 14 * m.x49 - 23 * m.x50 - 13 * m.x51 - 8 * m.x52 - 6 * m.x53 - 15 * m.x54 - 5 * m.x55 - 11 * m.x57 - 20 * m.x58 - 10 * m.x59 - 5 * m.x60 - 11 * m.x61 - 20 * m.x62 - 10 * m.x63 - 5 * m.x64 - 7 * m.x65 - 16 * m.x66 - 6 * m.x67 - m.x68 - 5 * m.x69 - 14 * m.x70 - 4 * m.x71 + m.x72) m.e1 = Constraint(expr= m.x41 + m.x42 + m.x43 + m.x44 <= 75) m.e2 = Constraint(expr= m.x45 + m.x46 + m.x47 + m.x48 <= 75) m.e3 = Constraint(expr= m.x49 + m.x50 + m.x51 + m.x52 <= 75) m.e4 = Constraint(expr= m.x53 + m.x54 + m.x55 + m.x56 <= 75) m.e5 = Constraint(expr= m.x57 + m.x58 + m.x59 + m.x60 <= 75) m.e6 = Constraint(expr= m.x61 + m.x62 + m.x63 + m.x64 <= 75) m.e7 = Constraint(expr= m.x65 + m.x66 + m.x67 + m.x68 <= 75) m.e8 = Constraint(expr= m.x69 + m.x70 + m.x71 + m.x72 <= 75) m.e9 = Constraint(expr= m.x41 + m.x42 + m.x43 + m.x44 + m.x45 + m.x46 + m.x47 + m.x48 <= 75) m.e10 = Constraint(expr= m.x49 + m.x50 + m.x51 + m.x52 + m.x53 + m.x54 + m.x55 + m.x56 + m.x57 + m.x58 + m.x59 + m.x60 <= 75) m.e11 = Constraint(expr= m.x61 + m.x62 + m.x63 + m.x64 + m.x65 + m.x66 + m.x67 + m.x68 + m.x69 + m.x70 + m.x71 + m.x72 <= 75) m.e12 = Constraint(expr= m.x41 + m.x45 + m.x49 + m.x53 + m.x57 + m.x61 + m.x65 + m.x69 <= 10) m.e13 = Constraint(expr= m.x42 + m.x46 + m.x50 + m.x54 + m.x58 + m.x62 + m.x66 + m.x70 <= 25) m.e14 = Constraint(expr= m.x43 + m.x47 + m.x51 + m.x55 + m.x59 + m.x63 + m.x67 + m.x71 <= 30) m.e15 = Constraint(expr= m.x44 + m.x48 + m.x52 + m.x56 + m.x60 + m.x64 + m.x68 + m.x72 <= 10) m.e16 = Constraint(expr= -2 * m.x41 + m.x45 + m.x49 - 2 * m.x57 - 1.2 * m.x61 + 2 * m.x65 <= 0) m.e17 = Constraint(expr= 3 * m.x41 - 2 * m.x45 + 2.5 * m.x49 - 0.3 * m.x57 - 0.3 * m.x61 - 2 * m.x65 <= 0) m.e18 = Constraint(expr= 0.75 * m.x41 - 0.25 * m.x45 - 0.25 * m.x49 - 0.25 * m.x53 + 0.75 * m.x57 + 0.75 * m.x61 - 1.55 * m.x65 - 0.25 * m.x69 <= 0) m.e19 = Constraint(expr= -0.25 * m.x41 + 1.25 * m.x45 + 0.15 * m.x49 + 0.25 * m.x53 + 0.85 * m.x57 + 2.75 * m.x61 + 2.15 * m.x65 + 0.25 * m.x69 <= 0) m.e20 = Constraint(expr= -m.x41 - 2 * m.x45 + m.x49 - 3 * m.x53 - 3 * m.x57 + 0.0999999999999996 * m.x61 - 2.5 * m.x65 - m.x69 <= 0) m.e21 = Constraint(expr= 4 * m.x41 - m.x45 + 5 * m.x49 - m.x53 + 2 * m.x57 - 2 * m.x61 - 2.1 * m.x65 - 3 * m.x69 <= 0) m.e22 = Constraint(expr= -3 * m.x42 - m.x54 - 3 * m.x58 - 2.2 * m.x62 + m.x66 - m.x70 <= 0) m.e23 = Constraint(expr= 3.5 * m.x42 - 1.5 * m.x46 + 3 * m.x50 + 0.5 * m.x54 + 0.2 * m.x58 + 0.2 * m.x62 - 1.5 * m.x66 + 0.5 * m.x70 <= 0) m.e24 = Constraint(expr= 0.5 * m.x42 - 0.5 * m.x46 - 0.5 * m.x50 - 0.5 * m.x54 + 0.5 * m.x58 + 0.5 * m.x62 - 1.8 * m.x66 - 0.5 * m.x70 <= 0) m.e25 = Constraint(expr= -m.x42 + 0.5 * m.x46 - 0.6 * m.x50 - 0.5 * m.x54 + 0.1 * m.x58 + 2 * m.x62 + 1.4 * m.x66 - 0.5 * m.x70 <= 0) m.e26 = Constraint(expr= -2 * m.x42 - 3 * m.x46 - 4 * m.x54 - 4 * m.x58 - 0.9 * m.x62 - 3.5 * m.x66 - 2 * m.x70 <= 0) m.e27 = Constraint(expr= 3 * m.x42 - 2 * m.x46 + 4 * m.x50 - 2 * m.x54 + m.x58 - 3 * m.x62 - 3.1 * m.x66 - 4 * m.x70 <= 0) m.e28 = Constraint(expr= -0.5 * m.x43 + 2.5 * m.x47 + 2.5 * m.x51 + 1.5 * m.x55 - 0.5 * m.x59 + 0.3 * m.x63 + 3.5 * m.x67 + 1.5 * m.x71 <= 0) m.e29 = Constraint(expr= 0.5 * m.x43 - 4.5 * m.x47 - 2.5 * m.x55 - 2.8 * m.x59 - 2.8 * m.x63 - 4.5 * m.x67 - 2.5 * m.x71 <= 0) m.e30 = Constraint(expr= 0.1 * m.x43 - 0.9 * m.x47 - 0.9 * m.x51 - 0.9 * m.x55 + 0.1 * m.x59 + 0.1 * m.x63 - 2.2 * m.x67 - 0.9 * m.x71 <= 0) m.e31 = Constraint(expr= -0.3 * m.x43 + 1.2 * m.x47 + 0.1 * m.x51 + 0.2 * m.x55 + 0.8 * m.x59 + 2.7 * m.x63 + 2.1 * m.x67 + 0.2 * m.x71 <= 0) m.e32 = Constraint(expr= -2 * m.x43 - 3 * m.x47 - 4 * m.x55 - 4 * m.x59 - 0.9 * m.x63 - 3.5 * m.x67 - 2 * m.x71 <= 0) m.e33 = Constraint(expr= 3 * m.x43 - 2 * m.x47 + 4 * m.x51 - 2 * m.x55 + m.x59 - 3 * m.x63 - 3.1 * m.x67 - 4 * m.x71 <= 0) m.e34 = Constraint(expr= -2 * m.x44 + m.x48 + m.x52 - 2 * m.x60 - 1.2 * m.x64 + 2 * m.x68 <= 0) m.e35 = Constraint(expr= 2 * m.x44 - 3 * m.x48 + 1.5 * m.x52 - m.x56 - 1.3 * m.x60 - 1.3 * m.x64 - 3 * m.x68 - m.x72 <= 0) m.e36 = Constraint(expr= -m.x48 - m.x52 - m.x56 - 2.3 * m.x68 - m.x72 <= 0) m.e37 = Constraint(expr= -1.3 * m.x44 + 0.2 * m.x48 - 0.9 * m.x52 - 0.8 * m.x56 - 0.2 * m.x60 + 1.7 * m.x64 + 1.1 * m.x68 - 0.8 * m.x72 <= 0) m.e38 = Constraint(expr= -m.x44 - 2 * m.x48 + m.x52 - 3 * m.x56 - 3 * m.x60 + 0.0999999999999996 * m.x64 - 2.5 * m.x68 - m.x72 <= 0) m.e39 = Constraint(expr= 3 * m.x44 - 2 * m.x48 + 4 * m.x52 - 2 * m.x56 + m.x60 - 3 * m.x64 - 3.1 * m.x68 - 4 * m.x72 <= 0) m.e40 = Constraint(expr= m.x21 + m.x22 == 1) m.e41 = Constraint(expr= m.x23 + m.x24 + m.x25 == 1) m.e42 = Constraint(expr= m.x26 + m.x27 + m.x28 == 1) m.e43 = Constraint(expr= m.x29 + m.x30 + m.x31 + m.x32 == 1) m.e44 = Constraint(expr= m.x33 + m.x34 + m.x35 + m.x36 == 1) m.e45 = Constraint(expr= m.x37 + m.x38 + m.x39 + m.x40 == 1) m.e46 = Constraint(expr= -m.x21 * m.x9 + m.x41 == 0) m.e47 = Constraint(expr= -m.x21 * m.x10 + m.x42 == 0) m.e48 = Constraint(expr= -m.x21 * m.x11 + m.x43 == 0) m.e49 = Constraint(expr= -m.x21 * m.x12 + m.x44 == 0) m.e50 = Constraint(expr= -m.x22 * m.x9 + m.x45 == 0) m.e51 = Constraint(expr= -m.x22 * m.x10 + m.x46 == 0) m.e52 = Constraint(expr= -m.x22 * m.x11 + m.x47 == 0) m.e53 = Constraint(expr= -m.x22 * m.x12 + m.x48 == 0) m.e54 = Constraint(expr= -m.x23 * m.x13 + m.x49 == 0) m.e55 = Constraint(expr= -m.x23 * m.x14 + m.x50 == 0) m.e56 = Constraint(expr= -m.x23 * m.x15 + m.x51 == 0) m.e57 = Constraint(expr= -m.x23 * m.x16 + m.x52 == 0) m.e58 = Constraint(expr= -m.x24 * m.x13 + m.x53 == 0) m.e59 = Constraint(expr= -m.x24 * m.x14 + m.x54 == 0) m.e60 = Constraint(expr= -m.x24 * m.x15 + m.x55 == 0) m.e61 = Constraint(expr= -m.x24 * m.x16 + m.x56 == 0) m.e62 = Constraint(expr= -m.x25 * m.x13 + m.x57 == 0) m.e63 = Constraint(expr= -m.x25 * m.x14 + m.x58 == 0) m.e64 = Constraint(expr= -m.x25 * m.x15 + m.x59 == 0) m.e65 = Constraint(expr= -m.x25 * m.x16 + m.x60 == 0) m.e66 = Constraint(expr= -m.x26 * m.x17 + m.x61 == 0) m.e67 = Constraint(expr= -m.x26 * m.x18 + m.x62 == 0) m.e68 = Constraint(expr= -m.x26 * m.x19 + m.x63 == 0) m.e69 = Constraint(expr= -m.x26 * m.x20 + m.x64 == 0) m.e70 = Constraint(expr= -m.x27 * m.x17 + m.x65 == 0) m.e71 = Constraint(expr= -m.x27 * m.x18 + m.x66 == 0) m.e72 = Constraint(expr= -m.x27 * m.x19 + m.x67 == 0) m.e73 = Constraint(expr= -m.x27 * m.x20 + m.x68 == 0) m.e74 = Constraint(expr= -m.x28 * m.x17 + m.x69 == 0) m.e75 = Constraint(expr= -m.x28 * m.x18 + m.x70 == 0) m.e76 = Constraint(expr= -m.x28 * m.x19 + m.x71 == 0) m.e77 = Constraint(expr= -m.x28 * m.x20 + m.x72 == 0) m.e78 = Constraint(expr= -m.x29 * m.x1 + m.x41 == 0) m.e79 = Constraint(expr= -m.x30 * m.x1 + m.x42 == 0) m.e80 = Constraint(expr= -m.x31 * m.x1 + m.x43 == 0) m.e81 = Constraint(expr= -m.x32 * m.x1 + m.x44 == 0) m.e82 = Constraint(expr= -m.x29 * m.x2 + m.x45 == 0) m.e83 = Constraint(expr= -m.x30 * m.x2 + m.x46 == 0) m.e84 = Constraint(expr= -m.x31 * m.x2 + m.x47 == 0) m.e85 = Constraint(expr= -m.x32 * m.x2 + m.x48 == 0) m.e86 = Constraint(expr= -m.x33 * m.x3 + m.x49 == 0) m.e87 = Constraint(expr= -m.x34 * m.x3 + m.x50 == 0) m.e88 = Constraint(expr= -m.x35 * m.x3 + m.x51 == 0) m.e89 = Constraint(expr= -m.x36 * m.x3 + m.x52 == 0) m.e90 = Constraint(expr= -m.x33 * m.x4 + m.x53 == 0) m.e91 = Constraint(expr= -m.x34 * m.x4 + m.x54 == 0) m.e92 = Constraint(expr= -m.x35 * m.x4 + m.x55 == 0) m.e93 = Constraint(expr= -m.x36 * m.x4 + m.x56 == 0) m.e94 = Constraint(expr= -m.x33 * m.x5 + m.x57 == 0) m.e95 = Constraint(expr= -m.x34 * m.x5 + m.x58 == 0) m.e96 = Constraint(expr= -m.x35 * m.x5 + m.x59 == 0) m.e97 = Constraint(expr= -m.x36 * m.x5 + m.x60 == 0) m.e98 = Constraint(expr= -m.x37 * m.x6 + m.x61 == 0) m.e99 = Constraint(expr= -m.x38 * m.x6 + m.x62 == 0) m.e100 = Constraint(expr= -m.x39 * m.x6 + m.x63 == 0) m.e101 = Constraint(expr= -m.x40 * m.x6 + m.x64 == 0) m.e102 = Constraint(expr= -m.x37 * m.x7 + m.x65 == 0) m.e103 = Constraint(expr= -m.x38 * m.x7 + m.x66 == 0) m.e104 = Constraint(expr= -m.x39 * m.x7 + m.x67 == 0) m.e105 = Constraint(expr= -m.x40 * m.x7 + m.x68 == 0) m.e106 = Constraint(expr= -m.x37 * m.x8 + m.x69 == 0) m.e107 = Constraint(expr= -m.x38 * m.x8 + m.x70 == 0) m.e108 = Constraint(expr= -m.x39 * m.x8 + m.x71 == 0) m.e109 = Constraint(expr= -m.x40 * m.x8 + m.x72 == 0)