# MINLP written by GAMS Convert at 02/17/22 17:20:03 # # Equation counts # Total E G L N X C B # 79 59 10 10 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 71 61 10 0 0 0 0 0 # FX 2 # # Nonzero counts # Total const NL # 178 178 0 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x2 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x3 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x4 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x5 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x6 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x7 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x8 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x9 = Var(within=Reals, bounds=(-1,1), initialize=-1) m.x10 = Var(within=Reals, bounds=(-1,1), initialize=-1) 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.x21 = Var(within=Reals, bounds=(-2,-2), initialize=-2) m.x22 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x23 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x24 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x25 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x26 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x27 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x28 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x29 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x30 = Var(within=Reals, bounds=(None,None), initialize=-2) m.x31 = Var(within=Reals, bounds=(0,0), initialize=0) m.x32 = Var(within=Reals, bounds=(None,None), initialize=1) m.x33 = Var(within=Reals, bounds=(None,None), initialize=1) m.x34 = Var(within=Reals, bounds=(None,None), initialize=1) m.x35 = Var(within=Reals, bounds=(None,None), initialize=1) m.x36 = Var(within=Reals, bounds=(None,None), initialize=1) m.x37 = Var(within=Reals, bounds=(None,None), initialize=1) m.x38 = Var(within=Reals, bounds=(None,None), initialize=1) m.x39 = Var(within=Reals, bounds=(None,None), initialize=1) m.x40 = Var(within=Reals, bounds=(None,None), initialize=1) m.x41 = Var(within=Reals, bounds=(None,None), initialize=1) m.x42 = Var(within=Reals, bounds=(None,None), initialize=1) m.x43 = Var(within=Reals, bounds=(None,None), initialize=1) m.x44 = Var(within=Reals, bounds=(None,None), initialize=1) m.x45 = Var(within=Reals, bounds=(None,None), initialize=1) m.x46 = Var(within=Reals, bounds=(None,None), initialize=1) m.x47 = Var(within=Reals, bounds=(None,None), initialize=1) m.x48 = Var(within=Reals, bounds=(None,None), initialize=1) m.x49 = Var(within=Reals, bounds=(None,None), initialize=1) m.x50 = Var(within=Reals, bounds=(None,None), initialize=1) m.x51 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x52 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x53 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x54 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x55 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x56 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x57 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x58 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x59 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x60 = Var(within=Reals, bounds=(-2,2), initialize=-2) m.x61 = Var(within=Reals, bounds=(None,None), initialize=0) m.x62 = Var(within=Reals, bounds=(None,None), initialize=0) m.x63 = Var(within=Reals, bounds=(None,None), initialize=0) m.x64 = Var(within=Reals, bounds=(None,None), initialize=0) m.x65 = Var(within=Reals, bounds=(None,None), initialize=0) m.x66 = Var(within=Reals, bounds=(None,None), initialize=0) m.x67 = Var(within=Reals, bounds=(None,None), initialize=0) m.x68 = Var(within=Reals, bounds=(None,None), initialize=0) m.x69 = Var(within=Reals, bounds=(None,None), initialize=0) m.x70 = Var(within=Reals, bounds=(None,None), initialize=0) m.x71 = Var(within=Reals, bounds=(None,None), initialize=1) m.obj = Objective(sense=minimize, expr= (-1.66666666666667 + m.x71)**2 + 0.2 * m.x51**2 + 0.2 * m.x52**2 + 0.2 * m.x53**2 + 0.2 * m.x54**2 + 0.2 * m.x55** 2 + 0.2 * m.x56**2 + 0.2 * m.x57**2 + 0.2 * m.x58**2 + 0.2 * m.x59**2 + 0.2 * m.x60**2) m.e1 = Constraint(expr= -m.x31 + m.x41 == 0.2) m.e2 = Constraint(expr= -m.x32 + m.x42 == 0.2) m.e3 = Constraint(expr= -m.x33 + m.x43 == 0.2) m.e4 = Constraint(expr= -m.x34 + m.x44 == 0.2) m.e5 = Constraint(expr= -m.x35 + m.x45 == 0.2) m.e6 = Constraint(expr= -m.x36 + m.x46 == 0.2) m.e7 = Constraint(expr= -m.x37 + m.x47 == 0.2) m.e8 = Constraint(expr= -m.x38 + m.x48 == 0.2) m.e9 = Constraint(expr= -m.x39 + m.x49 == 0.2) m.e10 = Constraint(expr= -m.x40 + m.x50 == 0.2) m.e11 = Constraint(expr= -m.x21 + m.x51 - 0.2 * m.x61 == 0) m.e12 = Constraint(expr= -m.x22 + m.x52 - 0.2 * m.x62 == 0) m.e13 = Constraint(expr= -m.x23 + m.x53 - 0.2 * m.x63 == 0) m.e14 = Constraint(expr= -m.x24 + m.x54 - 0.2 * m.x64 == 0) m.e15 = Constraint(expr= -m.x25 + m.x55 - 0.2 * m.x65 == 0) m.e16 = Constraint(expr= -m.x26 + m.x56 - 0.2 * m.x66 == 0) m.e17 = Constraint(expr= -m.x27 + m.x57 - 0.2 * m.x67 == 0) m.e18 = Constraint(expr= -m.x28 + m.x58 - 0.2 * m.x68 == 0) m.e19 = Constraint(expr= -m.x29 + m.x59 - 0.2 * m.x69 == 0) m.e20 = Constraint(expr= -m.x30 + m.x60 - 0.2 * m.x70 == 0) m.e21 = Constraint(expr= m.x1 - 2 * m.b11 == -1) m.e22 = Constraint(expr= m.x2 - 2 * m.b12 == -1) m.e23 = Constraint(expr= m.x3 - 2 * m.b13 == -1) m.e24 = Constraint(expr= m.x4 - 2 * m.b14 == -1) m.e25 = Constraint(expr= m.x5 - 2 * m.b15 == -1) m.e26 = Constraint(expr= m.x6 - 2 * m.b16 == -1) m.e27 = Constraint(expr= m.x7 - 2 * m.b17 == -1) m.e28 = Constraint(expr= m.x8 - 2 * m.b18 == -1) m.e29 = Constraint(expr= m.x9 - 2 * m.b19 == -1) m.e30 = Constraint(expr= m.x10 - 2 * m.b20 == -1) m.e31 = Constraint(expr= 2 * m.b11 - m.x51 <= 2) m.e32 = Constraint(expr= 2 * m.b12 - m.x52 <= 2) m.e33 = Constraint(expr= 2 * m.b13 - m.x53 <= 2) m.e34 = Constraint(expr= 2 * m.b14 - m.x54 <= 2) m.e35 = Constraint(expr= 2 * m.b15 - m.x55 <= 2) m.e36 = Constraint(expr= 2 * m.b16 - m.x56 <= 2) m.e37 = Constraint(expr= 2 * m.b17 - m.x57 <= 2) m.e38 = Constraint(expr= 2 * m.b18 - m.x58 <= 2) m.e39 = Constraint(expr= 2 * m.b19 - m.x59 <= 2) m.e40 = Constraint(expr= 2 * m.b20 - m.x60 <= 2) m.e41 = Constraint(expr= 2 * m.b11 - m.x51 >= 0) m.e42 = Constraint(expr= 2 * m.b12 - m.x52 >= 0) m.e43 = Constraint(expr= 2 * m.b13 - m.x53 >= 0) m.e44 = Constraint(expr= 2 * m.b14 - m.x54 >= 0) m.e45 = Constraint(expr= 2 * m.b15 - m.x55 >= 0) m.e46 = Constraint(expr= 2 * m.b16 - m.x56 >= 0) m.e47 = Constraint(expr= 2 * m.b17 - m.x57 >= 0) m.e48 = Constraint(expr= 2 * m.b18 - m.x58 >= 0) m.e49 = Constraint(expr= 2 * m.b19 - m.x59 >= 0) m.e50 = Constraint(expr= 2 * m.b20 - m.x60 >= 0) m.e51 = Constraint(expr= -m.x31 + m.x32 == 0.2) m.e52 = Constraint(expr= -m.x32 + m.x33 == 0.2) m.e53 = Constraint(expr= -m.x33 + m.x34 == 0.2) m.e54 = Constraint(expr= -m.x34 + m.x35 == 0.2) m.e55 = Constraint(expr= -m.x35 + m.x36 == 0.2) m.e56 = Constraint(expr= -m.x36 + m.x37 == 0.2) m.e57 = Constraint(expr= -m.x37 + m.x38 == 0.2) m.e58 = Constraint(expr= -m.x38 + m.x39 == 0.2) m.e59 = Constraint(expr= -m.x39 + m.x40 == 0.2) m.e60 = Constraint(expr= -m.x21 + m.x22 - 0.2 * m.x61 == 0) m.e61 = Constraint(expr= -m.x22 + m.x23 - 0.2 * m.x62 == 0) m.e62 = Constraint(expr= -m.x23 + m.x24 - 0.2 * m.x63 == 0) m.e63 = Constraint(expr= -m.x24 + m.x25 - 0.2 * m.x64 == 0) m.e64 = Constraint(expr= -m.x25 + m.x26 - 0.2 * m.x65 == 0) m.e65 = Constraint(expr= -m.x26 + m.x27 - 0.2 * m.x66 == 0) m.e66 = Constraint(expr= -m.x27 + m.x28 - 0.2 * m.x67 == 0) m.e67 = Constraint(expr= -m.x28 + m.x29 - 0.2 * m.x68 == 0) m.e68 = Constraint(expr= -m.x29 + m.x30 - 0.2 * m.x69 == 0) m.e69 = Constraint(expr= -m.x30 - 0.2 * m.x70 + m.x71 == 0) m.e70 = Constraint(expr= m.x1 + m.x61 == 2) m.e71 = Constraint(expr= m.x2 + m.x62 == 2) m.e72 = Constraint(expr= m.x3 + m.x63 == 2) m.e73 = Constraint(expr= m.x4 + m.x64 == 2) m.e74 = Constraint(expr= m.x5 + m.x65 == 2) m.e75 = Constraint(expr= m.x6 + m.x66 == 2) m.e76 = Constraint(expr= m.x7 + m.x67 == 2) m.e77 = Constraint(expr= m.x8 + m.x68 == 2) m.e78 = Constraint(expr= m.x9 + m.x69 == 2) m.e79 = Constraint(expr= m.x10 + m.x70 == 2)