# NLP written by GAMS Convert at 02/17/22 17:21:47 # # Equation counts # Total E G L N X C B # 79 44 0 35 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 46 46 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 303 223 80 # # 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=(0,10), initialize=0) m.x7 = Var(within=Reals, bounds=(0,25), initialize=0) m.x8 = Var(within=Reals, bounds=(0,30), initialize=0) m.x9 = Var(within=Reals, bounds=(0,10), initialize=0) m.x10 = Var(within=Reals, bounds=(0,10), initialize=0) m.x11 = Var(within=Reals, bounds=(0,25), initialize=0) m.x12 = Var(within=Reals, bounds=(0,30), initialize=0) m.x13 = Var(within=Reals, bounds=(0,10), initialize=0) m.x14 = Var(within=Reals, bounds=(0,1), initialize=0) m.x15 = Var(within=Reals, bounds=(0,1), initialize=0) m.x16 = Var(within=Reals, bounds=(0,1), initialize=0) m.x17 = Var(within=Reals, bounds=(0,1), initialize=0) m.x18 = Var(within=Reals, bounds=(0,1), initialize=0) m.x19 = Var(within=Reals, bounds=(0,1), initialize=0) m.x20 = Var(within=Reals, bounds=(0,1), 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=(0,10), initialize=0) m.x28 = Var(within=Reals, bounds=(0,25), initialize=0) m.x29 = Var(within=Reals, bounds=(0,30), initialize=0) m.x30 = Var(within=Reals, bounds=(0,10), initialize=0) m.x31 = Var(within=Reals, bounds=(0,10), initialize=0) m.x32 = Var(within=Reals, bounds=(0,25), initialize=0) m.x33 = Var(within=Reals, bounds=(0,30), initialize=0) m.x34 = Var(within=Reals, bounds=(0,10), initialize=0) m.x35 = Var(within=Reals, bounds=(0,10), initialize=0) m.x36 = Var(within=Reals, bounds=(0,25), initialize=0) m.x37 = Var(within=Reals, bounds=(0,30), initialize=0) m.x38 = Var(within=Reals, bounds=(0,10), initialize=0) m.x39 = Var(within=Reals, bounds=(0,10), initialize=0) m.x40 = Var(within=Reals, bounds=(0,25), initialize=0) m.x41 = Var(within=Reals, bounds=(0,30), initialize=0) m.x42 = Var(within=Reals, bounds=(0,10), initialize=0) m.x43 = Var(within=Reals, bounds=(0,10), initialize=0) m.x44 = Var(within=Reals, bounds=(0,25), initialize=0) m.x45 = Var(within=Reals, bounds=(0,30), initialize=0) m.x46 = Var(within=Reals, bounds=(0,10), initialize=0) m.obj = Objective(sense=minimize, expr= -9 * m.x27 - 18 * m.x28 - 8 * m.x29 - 3 * m.x30 - 13 * m.x31 - 22 * m.x32 - 12 * m.x33 - 7 * m.x34 - 14 * m.x35 - 23 * m.x36 - 13 * m.x37 - 8 * m.x38 - 6 * m.x39 - 15 * m.x40 - 5 * m.x41 - 11 * m.x43 - 20 * m.x44 - 10 * m.x45 - 5 * m.x46) m.e1 = Constraint(expr= m.x27 + m.x28 + m.x29 + m.x30 <= 75) m.e2 = Constraint(expr= m.x31 + m.x32 + m.x33 + m.x34 <= 75) m.e3 = Constraint(expr= m.x35 + m.x36 + m.x37 + m.x38 <= 75) m.e4 = Constraint(expr= m.x39 + m.x40 + m.x41 + m.x42 <= 75) m.e5 = Constraint(expr= m.x43 + m.x44 + m.x45 + m.x46 <= 75) m.e6 = Constraint(expr= m.x27 + m.x28 + m.x29 + m.x30 + m.x31 + m.x32 + m.x33 + m.x34 <= 75) m.e7 = Constraint(expr= m.x35 + m.x36 + m.x37 + m.x38 + m.x39 + m.x40 + m.x41 + m.x42 + m.x43 + m.x44 + m.x45 + m.x46 <= 75) m.e8 = Constraint(expr= m.x27 + m.x31 + m.x35 + m.x39 + m.x43 <= 10) m.e9 = Constraint(expr= m.x28 + m.x32 + m.x36 + m.x40 + m.x44 <= 25) m.e10 = Constraint(expr= m.x29 + m.x33 + m.x37 + m.x41 + m.x45 <= 30) m.e11 = Constraint(expr= m.x30 + m.x34 + m.x38 + m.x42 + m.x46 <= 10) m.e12 = Constraint(expr= -2 * m.x27 + m.x31 + m.x35 - 2 * m.x43 <= 0) m.e13 = Constraint(expr= 3 * m.x27 - 2 * m.x31 + 2.5 * m.x35 - 0.3 * m.x43 <= 0) m.e14 = Constraint(expr= 0.75 * m.x27 - 0.25 * m.x31 - 0.25 * m.x35 - 0.25 * m.x39 + 0.75 * m.x43 <= 0) m.e15 = Constraint(expr= -0.25 * m.x27 + 1.25 * m.x31 + 0.15 * m.x35 + 0.25 * m.x39 + 0.85 * m.x43 <= 0) m.e16 = Constraint(expr= -m.x27 - 2 * m.x31 + m.x35 - 3 * m.x39 - 3 * m.x43 <= 0) m.e17 = Constraint(expr= 4 * m.x27 - m.x31 + 5 * m.x35 - m.x39 + 2 * m.x43 <= 0) m.e18 = Constraint(expr= -3 * m.x28 - m.x40 - 3 * m.x44 <= 0) m.e19 = Constraint(expr= 3.5 * m.x28 - 1.5 * m.x32 + 3 * m.x36 + 0.5 * m.x40 + 0.2 * m.x44 <= 0) m.e20 = Constraint(expr= 0.5 * m.x28 - 0.5 * m.x32 - 0.5 * m.x36 - 0.5 * m.x40 + 0.5 * m.x44 <= 0) m.e21 = Constraint(expr= -m.x28 + 0.5 * m.x32 - 0.6 * m.x36 - 0.5 * m.x40 + 0.1 * m.x44 <= 0) m.e22 = Constraint(expr= -2 * m.x28 - 3 * m.x32 - 4 * m.x40 - 4 * m.x44 <= 0) m.e23 = Constraint(expr= 3 * m.x28 - 2 * m.x32 + 4 * m.x36 - 2 * m.x40 + m.x44 <= 0) m.e24 = Constraint(expr= -0.5 * m.x29 + 2.5 * m.x33 + 2.5 * m.x37 + 1.5 * m.x41 - 0.5 * m.x45 <= 0) m.e25 = Constraint(expr= 0.5 * m.x29 - 4.5 * m.x33 - 2.5 * m.x41 - 2.8 * m.x45 <= 0) m.e26 = Constraint(expr= 0.1 * m.x29 - 0.9 * m.x33 - 0.9 * m.x37 - 0.9 * m.x41 + 0.1 * m.x45 <= 0) m.e27 = Constraint(expr= -0.3 * m.x29 + 1.2 * m.x33 + 0.1 * m.x37 + 0.2 * m.x41 + 0.8 * m.x45 <= 0) m.e28 = Constraint(expr= -2 * m.x29 - 3 * m.x33 - 4 * m.x41 - 4 * m.x45 <= 0) m.e29 = Constraint(expr= 3 * m.x29 - 2 * m.x33 + 4 * m.x37 - 2 * m.x41 + m.x45 <= 0) m.e30 = Constraint(expr= -2 * m.x30 + m.x34 + m.x38 - 2 * m.x46 <= 0) m.e31 = Constraint(expr= 2 * m.x30 - 3 * m.x34 + 1.5 * m.x38 - m.x42 - 1.3 * m.x46 <= 0) m.e32 = Constraint(expr= -m.x34 - m.x38 - m.x42 <= 0) m.e33 = Constraint(expr= -1.3 * m.x30 + 0.2 * m.x34 - 0.9 * m.x38 - 0.8 * m.x42 - 0.2 * m.x46 <= 0) m.e34 = Constraint(expr= -3 * m.x30 - 4 * m.x34 - m.x38 - 5 * m.x42 - 5 * m.x46 <= 0) m.e35 = Constraint(expr= 3 * m.x30 - 2 * m.x34 + 4 * m.x38 - 2 * m.x42 + m.x46 <= 0) m.e36 = Constraint(expr= m.x14 + m.x15 == 1) m.e37 = Constraint(expr= m.x16 + m.x17 + m.x18 == 1) m.e38 = Constraint(expr= m.x19 + m.x20 + m.x21 + m.x22 == 1) m.e39 = Constraint(expr= m.x23 + m.x24 + m.x25 + m.x26 == 1) m.e40 = Constraint(expr= -m.x14 * m.x6 + m.x27 == 0) m.e41 = Constraint(expr= -m.x14 * m.x7 + m.x28 == 0) m.e42 = Constraint(expr= -m.x14 * m.x8 + m.x29 == 0) m.e43 = Constraint(expr= -m.x14 * m.x9 + m.x30 == 0) m.e44 = Constraint(expr= -m.x15 * m.x6 + m.x31 == 0) m.e45 = Constraint(expr= -m.x15 * m.x7 + m.x32 == 0) m.e46 = Constraint(expr= -m.x15 * m.x8 + m.x33 == 0) m.e47 = Constraint(expr= -m.x15 * m.x9 + m.x34 == 0) m.e48 = Constraint(expr= -m.x16 * m.x10 + m.x35 == 0) m.e49 = Constraint(expr= -m.x16 * m.x11 + m.x36 == 0) m.e50 = Constraint(expr= -m.x16 * m.x12 + m.x37 == 0) m.e51 = Constraint(expr= -m.x16 * m.x13 + m.x38 == 0) m.e52 = Constraint(expr= -m.x17 * m.x10 + m.x39 == 0) m.e53 = Constraint(expr= -m.x17 * m.x11 + m.x40 == 0) m.e54 = Constraint(expr= -m.x17 * m.x12 + m.x41 == 0) m.e55 = Constraint(expr= -m.x17 * m.x13 + m.x42 == 0) m.e56 = Constraint(expr= -m.x18 * m.x10 + m.x43 == 0) m.e57 = Constraint(expr= -m.x18 * m.x11 + m.x44 == 0) m.e58 = Constraint(expr= -m.x18 * m.x12 + m.x45 == 0) m.e59 = Constraint(expr= -m.x18 * m.x13 + m.x46 == 0) m.e60 = Constraint(expr= -m.x19 * m.x1 + m.x27 == 0) m.e61 = Constraint(expr= -m.x20 * m.x1 + m.x28 == 0) m.e62 = Constraint(expr= -m.x21 * m.x1 + m.x29 == 0) m.e63 = Constraint(expr= -m.x22 * m.x1 + m.x30 == 0) m.e64 = Constraint(expr= -m.x19 * m.x2 + m.x31 == 0) m.e65 = Constraint(expr= -m.x20 * m.x2 + m.x32 == 0) m.e66 = Constraint(expr= -m.x21 * m.x2 + m.x33 == 0) m.e67 = Constraint(expr= -m.x22 * m.x2 + m.x34 == 0) m.e68 = Constraint(expr= -m.x23 * m.x3 + m.x35 == 0) m.e69 = Constraint(expr= -m.x24 * m.x3 + m.x36 == 0) m.e70 = Constraint(expr= -m.x25 * m.x3 + m.x37 == 0) m.e71 = Constraint(expr= -m.x26 * m.x3 + m.x38 == 0) m.e72 = Constraint(expr= -m.x23 * m.x4 + m.x39 == 0) m.e73 = Constraint(expr= -m.x24 * m.x4 + m.x40 == 0) m.e74 = Constraint(expr= -m.x25 * m.x4 + m.x41 == 0) m.e75 = Constraint(expr= -m.x26 * m.x4 + m.x42 == 0) m.e76 = Constraint(expr= -m.x23 * m.x5 + m.x43 == 0) m.e77 = Constraint(expr= -m.x24 * m.x5 + m.x44 == 0) m.e78 = Constraint(expr= -m.x25 * m.x5 + m.x45 == 0) m.e79 = Constraint(expr= -m.x26 * m.x5 + m.x46 == 0)