# MINLP written by GAMS Convert at 02/17/22 17:18:28 # # Equation counts # Total E G L N X C B # 54 6 12 36 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 30 12 18 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 162 114 48 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(11.5,52.5), initialize=11.5) m.x2 = Var(within=Reals, bounds=(12.5,51.5), initialize=12.5) m.x3 = Var(within=Reals, bounds=(10.5,53.5), initialize=10.5) m.x4 = Var(within=Reals, bounds=(7,82), initialize=7) m.x5 = Var(within=Reals, bounds=(6.5,82.5), initialize=6.5) m.x6 = Var(within=Reals, bounds=(5.5,83.5), initialize=5.5) m.b7 = Var(within=Binary, bounds=(0,1), initialize=0) m.b8 = Var(within=Binary, bounds=(0,1), initialize=0) m.b9 = Var(within=Binary, bounds=(0,1), initialize=0) m.b10 = Var(within=Binary, bounds=(0,1), initialize=0) 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.x25 = Var(within=Reals, bounds=(0,None), initialize=0) m.x26 = Var(within=Reals, bounds=(0,None), initialize=0) m.x27 = Var(within=Reals, bounds=(0,None), initialize=0) m.x28 = Var(within=Reals, bounds=(0,None), initialize=0) m.x29 = Var(within=Reals, bounds=(0,None), initialize=0) m.x30 = Var(within=Reals, bounds=(0,None), initialize=0) m.obj = Objective(sense=minimize, expr= 300 * m.x25 + 240 * m.x26 + 100 * m.x27 + 300 * m.x28 + 240 * m.x29 + 100 * m.x30) m.e1 = Constraint(expr= -m.x1 + m.x2 + m.x25 >= 0) m.e2 = Constraint(expr= -m.x1 + m.x3 + m.x26 >= 0) m.e3 = Constraint(expr= -m.x2 + m.x3 + m.x27 >= 0) m.e4 = Constraint(expr= m.x1 - m.x2 + m.x25 >= 0) m.e5 = Constraint(expr= m.x1 - m.x3 + m.x26 >= 0) m.e6 = Constraint(expr= m.x2 - m.x3 + m.x27 >= 0) m.e7 = Constraint(expr= -m.x4 + m.x5 + m.x28 >= 0) m.e8 = Constraint(expr= -m.x4 + m.x6 + m.x29 >= 0) m.e9 = Constraint(expr= -m.x5 + m.x6 + m.x30 >= 0) m.e10 = Constraint(expr= m.x4 - m.x5 + m.x28 >= 0) m.e11 = Constraint(expr= m.x4 - m.x6 + m.x29 >= 0) m.e12 = Constraint(expr= m.x5 - m.x6 + m.x30 >= 0) m.e13 = Constraint(expr= m.x1 - m.x2 + 46 * m.b7 <= 40) m.e14 = Constraint(expr= m.x1 - m.x3 + 46 * m.b8 <= 42) m.e15 = Constraint(expr= m.x2 - m.x3 + 46 * m.b9 <= 41) m.e16 = Constraint(expr= -m.x1 + m.x2 + 46 * m.b10 <= 40) m.e17 = Constraint(expr= -m.x1 + m.x3 + 46 * m.b11 <= 42) m.e18 = Constraint(expr= -m.x2 + m.x3 + 46 * m.b12 <= 41) m.e19 = Constraint(expr= m.x4 - m.x5 + 81 * m.b13 <= 75.5) m.e20 = Constraint(expr= m.x4 - m.x6 + 81 * m.b14 <= 76.5) m.e21 = Constraint(expr= m.x5 - m.x6 + 81 * m.b15 <= 77) m.e22 = Constraint(expr= -m.x4 + m.x5 + 81 * m.b16 <= 75.5) m.e23 = Constraint(expr= -m.x4 + m.x6 + 81 * m.b17 <= 76.5) m.e24 = Constraint(expr= -m.x5 + m.x6 + 81 * m.b18 <= 77) m.e25 = Constraint(expr= m.b7 + m.b10 + m.b13 + m.b16 == 1) m.e26 = Constraint(expr= m.b8 + m.b11 + m.b14 + m.b17 == 1) m.e27 = Constraint(expr= m.b9 + m.b12 + m.b15 + m.b18 == 1) m.e28 = Constraint(expr= (-17.5 + m.x1)**2 + (-7 + m.x4)**2 + 6814 * m.b19 <= 6850) m.e29 = Constraint(expr= (-18.5 + m.x2)**2 + (-7.5 + m.x5)**2 + 6678 * m.b20 <= 6714) m.e30 = Constraint(expr= (-16.5 + m.x3)**2 + (-8.5 + m.x6)**2 + 6958 * m.b21 <= 6994) m.e31 = Constraint(expr= (-52.5 + m.x1)**2 + (-77 + m.x4)**2 + 6556 * m.b22 <= 6581) m.e32 = Constraint(expr= (-53.5 + m.x2)**2 + (-77.5 + m.x5)**2 + 6697 * m.b23 <= 6722) m.e33 = Constraint(expr= (-51.5 + m.x3)**2 + (-78.5 + m.x6)**2 + 6985 * m.b24 <= 7010) m.e34 = Constraint(expr= (-17.5 + m.x1)**2 + (-13 + m.x4)**2 + 5950 * m.b19 <= 5986) m.e35 = Constraint(expr= (-18.5 + m.x2)**2 + (-12.5 + m.x5)**2 + 5953 * m.b20 <= 5989) m.e36 = Constraint(expr= (-16.5 + m.x3)**2 + (-11.5 + m.x6)**2 + 6517 * m.b21 <= 6553) m.e37 = Constraint(expr= (-52.5 + m.x1)**2 + (-83 + m.x4)**2 + 7432 * m.b22 <= 7457) m.e38 = Constraint(expr= (-53.5 + m.x2)**2 + (-82.5 + m.x5)**2 + 7432 * m.b23 <= 7457) m.e39 = Constraint(expr= (-51.5 + m.x3)**2 + (-81.5 + m.x6)**2 + 7432 * m.b24 <= 7457) m.e40 = Constraint(expr= (-12.5 + m.x1)**2 + (-7 + m.x4)**2 + 7189 * m.b19 <= 7225) m.e41 = Constraint(expr= (-11.5 + m.x2)**2 + (-7.5 + m.x5)**2 + 7189 * m.b20 <= 7225) m.e42 = Constraint(expr= (-13.5 + m.x3)**2 + (-8.5 + m.x6)**2 + 7189 * m.b21 <= 7225) m.e43 = Constraint(expr= (-47.5 + m.x1)**2 + (-77 + m.x4)**2 + 6171 * m.b22 <= 6196) m.e44 = Constraint(expr= (-46.5 + m.x2)**2 + (-77.5 + m.x5)**2 + 6172 * m.b23 <= 6197) m.e45 = Constraint(expr= (-48.5 + m.x3)**2 + (-78.5 + m.x6)**2 + 6748 * m.b24 <= 6773) m.e46 = Constraint(expr= (-12.5 + m.x1)**2 + (-13 + m.x4)**2 + 6325 * m.b19 <= 6361) m.e47 = Constraint(expr= (-11.5 + m.x2)**2 + (-12.5 + m.x5)**2 + 6464 * m.b20 <= 6500) m.e48 = Constraint(expr= (-13.5 + m.x3)**2 + (-11.5 + m.x6)**2 + 6748 * m.b21 <= 6784) m.e49 = Constraint(expr= (-47.5 + m.x1)**2 + (-83 + m.x4)**2 + 7047 * m.b22 <= 7072) m.e50 = Constraint(expr= (-46.5 + m.x2)**2 + (-82.5 + m.x5)**2 + 6907 * m.b23 <= 6932) m.e51 = Constraint(expr= (-48.5 + m.x3)**2 + (-81.5 + m.x6)**2 + 7195 * m.b24 <= 7220) m.e52 = Constraint(expr= m.b19 + m.b22 == 1) m.e53 = Constraint(expr= m.b20 + m.b23 == 1) m.e54 = Constraint(expr= m.b21 + m.b24 == 1)