# MINLP written by GAMS Convert at 02/17/22 17:19:05 # # Equation counts # Total E G L N X C B # 53 0 7 46 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 48 0 6 42 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 290 218 72 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.i1 = Var(within=Integers, bounds=(0,5), initialize=1) m.i2 = Var(within=Integers, bounds=(0,5), initialize=0) m.i3 = Var(within=Integers, bounds=(0,5), initialize=0) m.i4 = Var(within=Integers, bounds=(0,5), initialize=0) m.i5 = Var(within=Integers, bounds=(0,5), initialize=0) m.i6 = Var(within=Integers, bounds=(0,5), initialize=0) m.i7 = Var(within=Integers, bounds=(0,5), initialize=2) m.i8 = Var(within=Integers, bounds=(0,5), initialize=0) m.i9 = Var(within=Integers, bounds=(0,5), initialize=0) m.i10 = Var(within=Integers, bounds=(0,5), initialize=0) m.i11 = Var(within=Integers, bounds=(0,5), initialize=0) m.i12 = Var(within=Integers, bounds=(0,5), initialize=0) m.i13 = Var(within=Integers, bounds=(0,5), initialize=0) m.i14 = Var(within=Integers, bounds=(0,5), initialize=2) m.i15 = Var(within=Integers, bounds=(0,5), initialize=0) m.i16 = Var(within=Integers, bounds=(0,5), initialize=0) m.i17 = Var(within=Integers, bounds=(0,5), initialize=0) m.i18 = Var(within=Integers, bounds=(0,5), initialize=0) m.i19 = Var(within=Integers, bounds=(0,5), initialize=0) m.i20 = Var(within=Integers, bounds=(0,5), initialize=1) m.i21 = Var(within=Integers, bounds=(0,5), initialize=0) m.i22 = Var(within=Integers, bounds=(0,5), initialize=0) m.i23 = Var(within=Integers, bounds=(0,5), initialize=0) m.i24 = Var(within=Integers, bounds=(0,5), initialize=0) m.i25 = Var(within=Integers, bounds=(0,5), initialize=0) m.i26 = Var(within=Integers, bounds=(0,5), initialize=2) m.i27 = Var(within=Integers, bounds=(0,5), initialize=0) m.i28 = Var(within=Integers, bounds=(0,5), initialize=0) m.i29 = Var(within=Integers, bounds=(0,5), initialize=0) m.i30 = Var(within=Integers, bounds=(0,5), initialize=0) m.i31 = Var(within=Integers, bounds=(0,5), initialize=1) m.i32 = Var(within=Integers, bounds=(0,5), initialize=0) m.i33 = Var(within=Integers, bounds=(0,5), initialize=0) m.i34 = Var(within=Integers, bounds=(0,5), initialize=0) m.i35 = Var(within=Integers, bounds=(0,5), initialize=0) m.i36 = Var(within=Integers, bounds=(0,5), 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.i43 = Var(within=Integers, bounds=(0,15), initialize=8) m.i44 = Var(within=Integers, bounds=(0,12), initialize=7) m.i45 = Var(within=Integers, bounds=(0,8), initialize=0) m.i46 = Var(within=Integers, bounds=(0,7), initialize=0) m.i47 = Var(within=Integers, bounds=(0,4), initialize=0) m.i48 = Var(within=Integers, bounds=(0,2), initialize=0) m.obj = Objective(sense=minimize, expr= 0.1 * m.b37 + 0.2 * m.b38 + 0.3 * m.b39 + 0.4 * m.b40 + 0.5 * m.b41 + m.i43 + m.i44 + m.i45 + m.i46 + m.i47 + m.i48) m.e1 = Constraint(expr= m.i43 * m.i1 + m.i44 * m.i2 + m.i45 * m.i3 + m.i46 * m.i4 + m.i47 * m.i5 + m.i48 * m.i6 >= 8) m.e2 = Constraint(expr= m.i43 * m.i7 + m.i44 * m.i8 + m.i45 * m.i9 + m.i46 * m.i10 + m.i47 * m.i11 + m.i48 * m.i12 >= 16) m.e3 = Constraint(expr= m.i43 * m.i13 + m.i44 * m.i14 + m.i45 * m.i15 + m.i46 * m.i16 + m.i47 * m.i17 + m.i48 * m.i18 >= 12) m.e4 = Constraint(expr= m.i43 * m.i19 + m.i44 * m.i20 + m.i45 * m.i21 + m.i46 * m.i22 + m.i47 * m.i23 + m.i48 * m.i24 >= 7) m.e5 = Constraint(expr= m.i43 * m.i25 + m.i44 * m.i26 + m.i45 * m.i27 + m.i46 * m.i28 + m.i47 * m.i29 + m.i48 * m.i30 >= 14) m.e6 = Constraint(expr= m.i43 * m.i31 + m.i44 * m.i32 + m.i45 * m.i33 + m.i46 * m.i34 + m.i47 * m.i35 + m.i48 * m.i36 >= 16) m.e7 = Constraint(expr= -330 * m.i1 - 360 * m.i7 - 380 * m.i13 - 430 * m.i19 - 490 * m.i25 - 530 * m.i31 + 2100 * m.b37 <= 0) m.e8 = Constraint(expr= -330 * m.i2 - 360 * m.i8 - 380 * m.i14 - 430 * m.i20 - 490 * m.i26 - 530 * m.i32 + 2100 * m.b38 <= 0) m.e9 = Constraint(expr= -330 * m.i3 - 360 * m.i9 - 380 * m.i15 - 430 * m.i21 - 490 * m.i27 - 530 * m.i33 + 2100 * m.b39 <= 0) m.e10 = Constraint(expr= -330 * m.i4 - 360 * m.i10 - 380 * m.i16 - 430 * m.i22 - 490 * m.i28 - 530 * m.i34 + 2100 * m.b40 <= 0) m.e11 = Constraint(expr= -330 * m.i5 - 360 * m.i11 - 380 * m.i17 - 430 * m.i23 - 490 * m.i29 - 530 * m.i35 + 2100 * m.b41 <= 0) m.e12 = Constraint(expr= -330 * m.i6 - 360 * m.i12 - 380 * m.i18 - 430 * m.i24 - 490 * m.i30 - 530 * m.i36 + 2100 * m.b42 <= 0) m.e13 = Constraint(expr= 330 * m.i1 + 360 * m.i7 + 380 * m.i13 + 430 * m.i19 + 490 * m.i25 + 530 * m.i31 - 2200 * m.b37 <= 0) m.e14 = Constraint(expr= 330 * m.i2 + 360 * m.i8 + 380 * m.i14 + 430 * m.i20 + 490 * m.i26 + 530 * m.i32 - 2200 * m.b38 <= 0) m.e15 = Constraint(expr= 330 * m.i3 + 360 * m.i9 + 380 * m.i15 + 430 * m.i21 + 490 * m.i27 + 530 * m.i33 - 2200 * m.b39 <= 0) m.e16 = Constraint(expr= 330 * m.i4 + 360 * m.i10 + 380 * m.i16 + 430 * m.i22 + 490 * m.i28 + 530 * m.i34 - 2200 * m.b40 <= 0) m.e17 = Constraint(expr= 330 * m.i5 + 360 * m.i11 + 380 * m.i17 + 430 * m.i23 + 490 * m.i29 + 530 * m.i35 - 2200 * m.b41 <= 0) m.e18 = Constraint(expr= 330 * m.i6 + 360 * m.i12 + 380 * m.i18 + 430 * m.i24 + 490 * m.i30 + 530 * m.i36 - 2200 * m.b42 <= 0) m.e19 = Constraint(expr= -m.i1 - m.i7 - m.i13 - m.i19 - m.i25 - m.i31 + m.b37 <= 0) m.e20 = Constraint(expr= -m.i2 - m.i8 - m.i14 - m.i20 - m.i26 - m.i32 + m.b38 <= 0) m.e21 = Constraint(expr= -m.i3 - m.i9 - m.i15 - m.i21 - m.i27 - m.i33 + m.b39 <= 0) m.e22 = Constraint(expr= -m.i4 - m.i10 - m.i16 - m.i22 - m.i28 - m.i34 + m.b40 <= 0) m.e23 = Constraint(expr= -m.i5 - m.i11 - m.i17 - m.i23 - m.i29 - m.i35 + m.b41 <= 0) m.e24 = Constraint(expr= -m.i6 - m.i12 - m.i18 - m.i24 - m.i30 - m.i36 + m.b42 <= 0) m.e25 = Constraint(expr= m.i1 + m.i7 + m.i13 + m.i19 + m.i25 + m.i31 - 5 * m.b37 <= 0) m.e26 = Constraint(expr= m.i2 + m.i8 + m.i14 + m.i20 + m.i26 + m.i32 - 5 * m.b38 <= 0) m.e27 = Constraint(expr= m.i3 + m.i9 + m.i15 + m.i21 + m.i27 + m.i33 - 5 * m.b39 <= 0) m.e28 = Constraint(expr= m.i4 + m.i10 + m.i16 + m.i22 + m.i28 + m.i34 - 5 * m.b40 <= 0) m.e29 = Constraint(expr= m.i5 + m.i11 + m.i17 + m.i23 + m.i29 + m.i35 - 5 * m.b41 <= 0) m.e30 = Constraint(expr= m.i6 + m.i12 + m.i18 + m.i24 + m.i30 + m.i36 - 5 * m.b42 <= 0) m.e31 = Constraint(expr= m.b37 - m.i43 <= 0) m.e32 = Constraint(expr= m.b38 - m.i44 <= 0) m.e33 = Constraint(expr= m.b39 - m.i45 <= 0) m.e34 = Constraint(expr= m.b40 - m.i46 <= 0) m.e35 = Constraint(expr= m.b41 - m.i47 <= 0) m.e36 = Constraint(expr= m.b42 - m.i48 <= 0) m.e37 = Constraint(expr= -15 * m.b37 + m.i43 <= 0) m.e38 = Constraint(expr= -12 * m.b38 + m.i44 <= 0) m.e39 = Constraint(expr= -8 * m.b39 + m.i45 <= 0) m.e40 = Constraint(expr= -7 * m.b40 + m.i46 <= 0) m.e41 = Constraint(expr= -4 * m.b41 + m.i47 <= 0) m.e42 = Constraint(expr= -2 * m.b42 + m.i48 <= 0) m.e43 = Constraint(expr= m.i43 + m.i44 + m.i45 + m.i46 + m.i47 + m.i48 >= 16) m.e44 = Constraint(expr= -m.b37 + m.b38 <= 0) m.e45 = Constraint(expr= -m.b38 + m.b39 <= 0) m.e46 = Constraint(expr= -m.b39 + m.b40 <= 0) m.e47 = Constraint(expr= -m.b40 + m.b41 <= 0) m.e48 = Constraint(expr= -m.b41 + m.b42 <= 0) m.e49 = Constraint(expr= -m.i43 + m.i44 <= 0) m.e50 = Constraint(expr= -m.i44 + m.i45 <= 0) m.e51 = Constraint(expr= -m.i45 + m.i46 <= 0) m.e52 = Constraint(expr= -m.i46 + m.i47 <= 0) m.e53 = Constraint(expr= -m.i47 + m.i48 <= 0)