# MINLP written by GAMS Convert at 02/17/22 17:22:42 # # Equation counts # Total E G L N X C B # 90 10 40 40 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 70 30 40 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 280 280 0 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(2.5,27.5), initialize=2.5) m.x2 = Var(within=Reals, bounds=(3.5,26.5), initialize=3.5) m.x3 = Var(within=Reals, bounds=(1.5,28.5), initialize=1.5) m.x4 = Var(within=Reals, bounds=(1,29), initialize=1) m.x5 = Var(within=Reals, bounds=(2,28), initialize=2) m.x6 = Var(within=Reals, bounds=(3,27), initialize=3) m.x7 = Var(within=Reals, bounds=(2.5,27.5), initialize=2.5) m.x8 = Var(within=Reals, bounds=(1.5,28.5), initialize=1.5) m.x9 = Var(within=Reals, bounds=(1.5,28.5), initialize=1.5) m.x10 = Var(within=Reals, bounds=(2,28), initialize=2) 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=0) m.b20 = Var(within=Binary, bounds=(0,1), initialize=0) m.b21 = Var(within=Binary, bounds=(0,1), initialize=0) m.b22 = Var(within=Binary, bounds=(0,1), initialize=0) m.b23 = Var(within=Binary, bounds=(0,1), initialize=0) m.b24 = Var(within=Binary, bounds=(0,1), initialize=0) m.b25 = Var(within=Binary, bounds=(0,1), 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.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.obj = Objective(sense=minimize, expr= 150 * ((-4 + m.x1)**2 + (-10 + m.x6)**2) + 390 * ((-10 + m.x2)**2 + (-15 + m.x7)**2) + 240 * ((-7 + m.x3)**2 + (-9 + m.x8)**2) + 70 * ((-3 + m.x4)**2 + (-3 + m.x9)**2) + 165 * ((-20 + m.x5) **2 + (-17 + m.x10)**2) + 300 * m.x51 + 240 * m.x52 + 210 * m.x53 + 140 * m.x54 + 100 * m.x55 + 150 * m.x56 + 220 * m.x57 + 120 * m.x58 + 300 * m.x59 + 100 * m.x60 + 300 * m.x61 + 240 * m.x62 + 210 * m.x63 + 140 * m.x64 + 100 * m.x65 + 150 * m.x66 + 220 * m.x67 + 120 * m.x68 + 300 * m.x69 + 100 * m.x70) m.e1 = Constraint(expr= -m.x1 + m.x2 + m.x51 >= 0) m.e2 = Constraint(expr= -m.x1 + m.x3 + m.x52 >= 0) m.e3 = Constraint(expr= -m.x1 + m.x4 + m.x53 >= 0) m.e4 = Constraint(expr= -m.x1 + m.x5 + m.x54 >= 0) m.e5 = Constraint(expr= -m.x2 + m.x3 + m.x55 >= 0) m.e6 = Constraint(expr= -m.x2 + m.x4 + m.x56 >= 0) m.e7 = Constraint(expr= -m.x2 + m.x5 + m.x57 >= 0) m.e8 = Constraint(expr= -m.x3 + m.x4 + m.x58 >= 0) m.e9 = Constraint(expr= -m.x3 + m.x5 + m.x59 >= 0) m.e10 = Constraint(expr= -m.x4 + m.x5 + m.x60 >= 0) m.e11 = Constraint(expr= m.x1 - m.x2 + m.x51 >= 0) m.e12 = Constraint(expr= m.x1 - m.x3 + m.x52 >= 0) m.e13 = Constraint(expr= m.x1 - m.x4 + m.x53 >= 0) m.e14 = Constraint(expr= m.x1 - m.x5 + m.x54 >= 0) m.e15 = Constraint(expr= m.x2 - m.x3 + m.x55 >= 0) m.e16 = Constraint(expr= m.x2 - m.x4 + m.x56 >= 0) m.e17 = Constraint(expr= m.x2 - m.x5 + m.x57 >= 0) m.e18 = Constraint(expr= m.x3 - m.x4 + m.x58 >= 0) m.e19 = Constraint(expr= m.x3 - m.x5 + m.x59 >= 0) m.e20 = Constraint(expr= m.x4 - m.x5 + m.x60 >= 0) m.e21 = Constraint(expr= -m.x6 + m.x7 + m.x61 >= 0) m.e22 = Constraint(expr= -m.x6 + m.x8 + m.x62 >= 0) m.e23 = Constraint(expr= -m.x6 + m.x9 + m.x63 >= 0) m.e24 = Constraint(expr= -m.x6 + m.x10 + m.x64 >= 0) m.e25 = Constraint(expr= -m.x7 + m.x8 + m.x65 >= 0) m.e26 = Constraint(expr= -m.x7 + m.x9 + m.x66 >= 0) m.e27 = Constraint(expr= -m.x7 + m.x10 + m.x67 >= 0) m.e28 = Constraint(expr= -m.x8 + m.x9 + m.x68 >= 0) m.e29 = Constraint(expr= -m.x8 + m.x10 + m.x69 >= 0) m.e30 = Constraint(expr= -m.x9 + m.x10 + m.x70 >= 0) m.e31 = Constraint(expr= m.x6 - m.x7 + m.x61 >= 0) m.e32 = Constraint(expr= m.x6 - m.x8 + m.x62 >= 0) m.e33 = Constraint(expr= m.x6 - m.x9 + m.x63 >= 0) m.e34 = Constraint(expr= m.x6 - m.x10 + m.x64 >= 0) m.e35 = Constraint(expr= m.x7 - m.x8 + m.x65 >= 0) m.e36 = Constraint(expr= m.x7 - m.x9 + m.x66 >= 0) m.e37 = Constraint(expr= m.x7 - m.x10 + m.x67 >= 0) m.e38 = Constraint(expr= m.x8 - m.x9 + m.x68 >= 0) m.e39 = Constraint(expr= m.x8 - m.x10 + m.x69 >= 0) m.e40 = Constraint(expr= m.x9 - m.x10 + m.x70 >= 0) m.e41 = Constraint(expr= m.x1 - m.x2 + 30 * m.b11 <= 24) m.e42 = Constraint(expr= m.x1 - m.x3 + 30 * m.b12 <= 26) m.e43 = Constraint(expr= m.x1 - m.x4 + 30 * m.b13 <= 26.5) m.e44 = Constraint(expr= m.x1 - m.x5 + 30 * m.b14 <= 25.5) m.e45 = Constraint(expr= m.x2 - m.x3 + 30 * m.b15 <= 25) m.e46 = Constraint(expr= m.x2 - m.x4 + 30 * m.b16 <= 25.5) m.e47 = Constraint(expr= m.x2 - m.x5 + 30 * m.b17 <= 24.5) m.e48 = Constraint(expr= m.x3 - m.x4 + 30 * m.b18 <= 27.5) m.e49 = Constraint(expr= m.x3 - m.x5 + 30 * m.b19 <= 26.5) m.e50 = Constraint(expr= m.x4 - m.x5 + 30 * m.b20 <= 27) m.e51 = Constraint(expr= -m.x1 + m.x2 + 30 * m.b21 <= 24) m.e52 = Constraint(expr= -m.x1 + m.x3 + 30 * m.b22 <= 26) m.e53 = Constraint(expr= -m.x1 + m.x4 + 30 * m.b23 <= 26.5) m.e54 = Constraint(expr= -m.x1 + m.x5 + 30 * m.b24 <= 25.5) m.e55 = Constraint(expr= -m.x2 + m.x3 + 30 * m.b25 <= 25) m.e56 = Constraint(expr= -m.x2 + m.x4 + 30 * m.b26 <= 25.5) m.e57 = Constraint(expr= -m.x2 + m.x5 + 30 * m.b27 <= 24.5) m.e58 = Constraint(expr= -m.x3 + m.x4 + 30 * m.b28 <= 27.5) m.e59 = Constraint(expr= -m.x3 + m.x5 + 30 * m.b29 <= 26.5) m.e60 = Constraint(expr= -m.x4 + m.x5 + 30 * m.b30 <= 27) m.e61 = Constraint(expr= m.x6 - m.x7 + 30 * m.b31 <= 24.5) m.e62 = Constraint(expr= m.x6 - m.x8 + 30 * m.b32 <= 25.5) m.e63 = Constraint(expr= m.x6 - m.x9 + 30 * m.b33 <= 25.5) m.e64 = Constraint(expr= m.x6 - m.x10 + 30 * m.b34 <= 25) m.e65 = Constraint(expr= m.x7 - m.x8 + 30 * m.b35 <= 26) m.e66 = Constraint(expr= m.x7 - m.x9 + 30 * m.b36 <= 26) m.e67 = Constraint(expr= m.x7 - m.x10 + 30 * m.b37 <= 25.5) m.e68 = Constraint(expr= m.x8 - m.x9 + 30 * m.b38 <= 27) m.e69 = Constraint(expr= m.x8 - m.x10 + 30 * m.b39 <= 26.5) m.e70 = Constraint(expr= m.x9 - m.x10 + 30 * m.b40 <= 26.5) m.e71 = Constraint(expr= -m.x6 + m.x7 + 30 * m.b41 <= 24.5) m.e72 = Constraint(expr= -m.x6 + m.x8 + 30 * m.b42 <= 25.5) m.e73 = Constraint(expr= -m.x6 + m.x9 + 30 * m.b43 <= 25.5) m.e74 = Constraint(expr= -m.x6 + m.x10 + 30 * m.b44 <= 25) m.e75 = Constraint(expr= -m.x7 + m.x8 + 30 * m.b45 <= 26) m.e76 = Constraint(expr= -m.x7 + m.x9 + 30 * m.b46 <= 26) m.e77 = Constraint(expr= -m.x7 + m.x10 + 30 * m.b47 <= 25.5) m.e78 = Constraint(expr= -m.x8 + m.x9 + 30 * m.b48 <= 27) m.e79 = Constraint(expr= -m.x8 + m.x10 + 30 * m.b49 <= 26.5) m.e80 = Constraint(expr= -m.x9 + m.x10 + 30 * m.b50 <= 26.5) m.e81 = Constraint(expr= m.b11 + m.b21 + m.b31 + m.b41 == 1) m.e82 = Constraint(expr= m.b12 + m.b22 + m.b32 + m.b42 == 1) m.e83 = Constraint(expr= m.b13 + m.b23 + m.b33 + m.b43 == 1) m.e84 = Constraint(expr= m.b14 + m.b24 + m.b34 + m.b44 == 1) m.e85 = Constraint(expr= m.b15 + m.b25 + m.b35 + m.b45 == 1) m.e86 = Constraint(expr= m.b16 + m.b26 + m.b36 + m.b46 == 1) m.e87 = Constraint(expr= m.b17 + m.b27 + m.b37 + m.b47 == 1) m.e88 = Constraint(expr= m.b18 + m.b28 + m.b38 + m.b48 == 1) m.e89 = Constraint(expr= m.b19 + m.b29 + m.b39 + m.b49 == 1) m.e90 = Constraint(expr= m.b20 + m.b30 + m.b40 + m.b50 == 1)