# MINLP written by GAMS Convert at 02/17/22 17:18:28 # # Equation counts # Total E G L N X C B # 106 10 24 72 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 56 20 36 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 324 228 96 # # 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=(10,54), initialize=10) m.x5 = Var(within=Reals, bounds=(7,82), initialize=7) m.x6 = Var(within=Reals, bounds=(6.5,82.5), initialize=6.5) m.x7 = Var(within=Reals, bounds=(5.5,83.5), initialize=5.5) m.x8 = Var(within=Reals, bounds=(5.5,83.5), initialize=5.5) 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.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.x45 = Var(within=Reals, bounds=(0,None), initialize=0) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0) m.x47 = Var(within=Reals, bounds=(0,None), initialize=0) m.x48 = Var(within=Reals, bounds=(0,None), initialize=0) m.x49 = Var(within=Reals, bounds=(0,None), initialize=0) m.x50 = Var(within=Reals, bounds=(0,None), 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.obj = Objective(sense=minimize, expr= 300 * m.x45 + 240 * m.x46 + 210 * m.x47 + 100 * m.x48 + 150 * m.x49 + 120 * m.x50 + 300 * m.x51 + 240 * m.x52 + 210 * m.x53 + 100 * m.x54 + 150 * m.x55 + 120 * m.x56) m.e1 = Constraint(expr= -m.x1 + m.x2 + m.x45 >= 0) m.e2 = Constraint(expr= -m.x1 + m.x3 + m.x46 >= 0) m.e3 = Constraint(expr= -m.x1 + m.x4 + m.x47 >= 0) m.e4 = Constraint(expr= -m.x2 + m.x3 + m.x48 >= 0) m.e5 = Constraint(expr= -m.x2 + m.x4 + m.x49 >= 0) m.e6 = Constraint(expr= -m.x3 + m.x4 + m.x50 >= 0) m.e7 = Constraint(expr= m.x1 - m.x2 + m.x45 >= 0) m.e8 = Constraint(expr= m.x1 - m.x3 + m.x46 >= 0) m.e9 = Constraint(expr= m.x1 - m.x4 + m.x47 >= 0) m.e10 = Constraint(expr= m.x2 - m.x3 + m.x48 >= 0) m.e11 = Constraint(expr= m.x2 - m.x4 + m.x49 >= 0) m.e12 = Constraint(expr= m.x3 - m.x4 + m.x50 >= 0) m.e13 = Constraint(expr= -m.x5 + m.x6 + m.x51 >= 0) m.e14 = Constraint(expr= -m.x5 + m.x7 + m.x52 >= 0) m.e15 = Constraint(expr= -m.x5 + m.x8 + m.x53 >= 0) m.e16 = Constraint(expr= -m.x6 + m.x7 + m.x54 >= 0) m.e17 = Constraint(expr= -m.x6 + m.x8 + m.x55 >= 0) m.e18 = Constraint(expr= -m.x7 + m.x8 + m.x56 >= 0) m.e19 = Constraint(expr= m.x5 - m.x6 + m.x51 >= 0) m.e20 = Constraint(expr= m.x5 - m.x7 + m.x52 >= 0) m.e21 = Constraint(expr= m.x5 - m.x8 + m.x53 >= 0) m.e22 = Constraint(expr= m.x6 - m.x7 + m.x54 >= 0) m.e23 = Constraint(expr= m.x6 - m.x8 + m.x55 >= 0) m.e24 = Constraint(expr= m.x7 - m.x8 + m.x56 >= 0) m.e25 = Constraint(expr= m.x1 - m.x2 + 46 * m.b9 <= 40) m.e26 = Constraint(expr= m.x1 - m.x3 + 46 * m.b10 <= 42) m.e27 = Constraint(expr= m.x1 - m.x4 + 46 * m.b11 <= 42.5) m.e28 = Constraint(expr= m.x2 - m.x3 + 46 * m.b12 <= 41) m.e29 = Constraint(expr= m.x2 - m.x4 + 46 * m.b13 <= 41.5) m.e30 = Constraint(expr= m.x3 - m.x4 + 46 * m.b14 <= 43.5) m.e31 = Constraint(expr= -m.x1 + m.x2 + 46 * m.b15 <= 40) m.e32 = Constraint(expr= -m.x1 + m.x3 + 46 * m.b16 <= 42) m.e33 = Constraint(expr= -m.x1 + m.x4 + 46 * m.b17 <= 42.5) m.e34 = Constraint(expr= -m.x2 + m.x3 + 46 * m.b18 <= 41) m.e35 = Constraint(expr= -m.x2 + m.x4 + 46 * m.b19 <= 41.5) m.e36 = Constraint(expr= -m.x3 + m.x4 + 46 * m.b20 <= 43.5) m.e37 = Constraint(expr= m.x5 - m.x6 + 81 * m.b21 <= 75.5) m.e38 = Constraint(expr= m.x5 - m.x7 + 81 * m.b22 <= 76.5) m.e39 = Constraint(expr= m.x5 - m.x8 + 81 * m.b23 <= 76.5) m.e40 = Constraint(expr= m.x6 - m.x7 + 81 * m.b24 <= 77) m.e41 = Constraint(expr= m.x6 - m.x8 + 81 * m.b25 <= 77) m.e42 = Constraint(expr= m.x7 - m.x8 + 81 * m.b26 <= 78) m.e43 = Constraint(expr= -m.x5 + m.x6 + 81 * m.b27 <= 75.5) m.e44 = Constraint(expr= -m.x5 + m.x7 + 81 * m.b28 <= 76.5) m.e45 = Constraint(expr= -m.x5 + m.x8 + 81 * m.b29 <= 76.5) m.e46 = Constraint(expr= -m.x6 + m.x7 + 81 * m.b30 <= 77) m.e47 = Constraint(expr= -m.x6 + m.x8 + 81 * m.b31 <= 77) m.e48 = Constraint(expr= -m.x7 + m.x8 + 81 * m.b32 <= 78) m.e49 = Constraint(expr= m.b9 + m.b15 + m.b21 + m.b27 == 1) m.e50 = Constraint(expr= m.b10 + m.b16 + m.b22 + m.b28 == 1) m.e51 = Constraint(expr= m.b11 + m.b17 + m.b23 + m.b29 == 1) m.e52 = Constraint(expr= m.b12 + m.b18 + m.b24 + m.b30 == 1) m.e53 = Constraint(expr= m.b13 + m.b19 + m.b25 + m.b31 == 1) m.e54 = Constraint(expr= m.b14 + m.b20 + m.b26 + m.b32 == 1) m.e55 = Constraint(expr= (-17.5 + m.x1)**2 + (-7 + m.x5)**2 + 6814 * m.b33 <= 6850) m.e56 = Constraint(expr= (-18.5 + m.x2)**2 + (-7.5 + m.x6)**2 + 6678 * m.b34 <= 6714) m.e57 = Constraint(expr= (-16.5 + m.x3)**2 + (-8.5 + m.x7)**2 + 6958 * m.b35 <= 6994) m.e58 = Constraint(expr= (-16 + m.x4)**2 + (-8.5 + m.x8)**2 + 7033 * m.b36 <= 7069) m.e59 = Constraint(expr= (-52.5 + m.x1)**2 + (-77 + m.x5)**2 + 6556 * m.b37 <= 6581) m.e60 = Constraint(expr= (-53.5 + m.x2)**2 + (-77.5 + m.x6)**2 + 6697 * m.b38 <= 6722) m.e61 = Constraint(expr= (-51.5 + m.x3)**2 + (-78.5 + m.x7)**2 + 6985 * m.b39 <= 7010) m.e62 = Constraint(expr= (-51 + m.x4)**2 + (-78.5 + m.x8)**2 + 6985 * m.b40 <= 7010) m.e63 = Constraint(expr= (-32.5 + m.x1)**2 + (-47 + m.x5)**2 + 2025 * m.b41 <= 2041) m.e64 = Constraint(expr= (-33.5 + m.x2)**2 + (-47.5 + m.x6)**2 + 2106 * m.b42 <= 2122) m.e65 = Constraint(expr= (-31.5 + m.x3)**2 + (-48.5 + m.x7)**2 + 2317 * m.b43 <= 2333) m.e66 = Constraint(expr= (-31 + m.x4)**2 + (-48.5 + m.x8)**2 + 2362 * m.b44 <= 2378) m.e67 = Constraint(expr= (-17.5 + m.x1)**2 + (-13 + m.x5)**2 + 5950 * m.b33 <= 5986) m.e68 = Constraint(expr= (-18.5 + m.x2)**2 + (-12.5 + m.x6)**2 + 5953 * m.b34 <= 5989) m.e69 = Constraint(expr= (-16.5 + m.x3)**2 + (-11.5 + m.x7)**2 + 6517 * m.b35 <= 6553) m.e70 = Constraint(expr= (-16 + m.x4)**2 + (-11.5 + m.x8)**2 + 6592 * m.b36 <= 6628) m.e71 = Constraint(expr= (-52.5 + m.x1)**2 + (-83 + m.x5)**2 + 7432 * m.b37 <= 7457) m.e72 = Constraint(expr= (-53.5 + m.x2)**2 + (-82.5 + m.x6)**2 + 7432 * m.b38 <= 7457) m.e73 = Constraint(expr= (-51.5 + m.x3)**2 + (-81.5 + m.x7)**2 + 7432 * m.b39 <= 7457) m.e74 = Constraint(expr= (-51 + m.x4)**2 + (-81.5 + m.x8)**2 + 7432 * m.b40 <= 7457) m.e75 = Constraint(expr= (-32.5 + m.x1)**2 + (-53 + m.x5)**2 + 2541 * m.b41 <= 2557) m.e76 = Constraint(expr= (-33.5 + m.x2)**2 + (-52.5 + m.x6)**2 + 2541 * m.b42 <= 2557) m.e77 = Constraint(expr= (-31.5 + m.x3)**2 + (-51.5 + m.x7)**2 + 2584 * m.b43 <= 2600) m.e78 = Constraint(expr= (-31 + m.x4)**2 + (-51.5 + m.x8)**2 + 2629 * m.b44 <= 2645) m.e79 = Constraint(expr= (-12.5 + m.x1)**2 + (-7 + m.x5)**2 + 7189 * m.b33 <= 7225) m.e80 = Constraint(expr= (-11.5 + m.x2)**2 + (-7.5 + m.x6)**2 + 7189 * m.b34 <= 7225) m.e81 = Constraint(expr= (-13.5 + m.x3)**2 + (-8.5 + m.x7)**2 + 7189 * m.b35 <= 7225) m.e82 = Constraint(expr= (-14 + m.x4)**2 + (-8.5 + m.x8)**2 + 7189 * m.b36 <= 7225) m.e83 = Constraint(expr= (-47.5 + m.x1)**2 + (-77 + m.x5)**2 + 6171 * m.b37 <= 6196) m.e84 = Constraint(expr= (-46.5 + m.x2)**2 + (-77.5 + m.x6)**2 + 6172 * m.b38 <= 6197) m.e85 = Constraint(expr= (-48.5 + m.x3)**2 + (-78.5 + m.x7)**2 + 6748 * m.b39 <= 6773) m.e86 = Constraint(expr= (-49 + m.x4)**2 + (-78.5 + m.x8)**2 + 6825 * m.b40 <= 6850) m.e87 = Constraint(expr= (-27.5 + m.x1)**2 + (-47 + m.x5)**2 + 2209 * m.b41 <= 2225) m.e88 = Constraint(expr= (-26.5 + m.x2)**2 + (-47.5 + m.x6)**2 + 2290 * m.b42 <= 2306) m.e89 = Constraint(expr= (-28.5 + m.x3)**2 + (-48.5 + m.x7)**2 + 2458 * m.b43 <= 2474) m.e90 = Constraint(expr= (-29 + m.x4)**2 + (-48.5 + m.x8)**2 + 2458 * m.b44 <= 2474) m.e91 = Constraint(expr= (-12.5 + m.x1)**2 + (-13 + m.x5)**2 + 6325 * m.b33 <= 6361) m.e92 = Constraint(expr= (-11.5 + m.x2)**2 + (-12.5 + m.x6)**2 + 6464 * m.b34 <= 6500) m.e93 = Constraint(expr= (-13.5 + m.x3)**2 + (-11.5 + m.x7)**2 + 6748 * m.b35 <= 6784) m.e94 = Constraint(expr= (-14 + m.x4)**2 + (-11.5 + m.x8)**2 + 6748 * m.b36 <= 6784) m.e95 = Constraint(expr= (-47.5 + m.x1)**2 + (-83 + m.x5)**2 + 7047 * m.b37 <= 7072) m.e96 = Constraint(expr= (-46.5 + m.x2)**2 + (-82.5 + m.x6)**2 + 6907 * m.b38 <= 6932) m.e97 = Constraint(expr= (-48.5 + m.x3)**2 + (-81.5 + m.x7)**2 + 7195 * m.b39 <= 7220) m.e98 = Constraint(expr= (-49 + m.x4)**2 + (-81.5 + m.x8)**2 + 7272 * m.b40 <= 7297) m.e99 = Constraint(expr= (-27.5 + m.x1)**2 + (-53 + m.x5)**2 + 2725 * m.b41 <= 2741) m.e100 = Constraint(expr= (-26.5 + m.x2)**2 + (-52.5 + m.x6)**2 + 2725 * m.b42 <= 2741) m.e101 = Constraint(expr= (-28.5 + m.x3)**2 + (-51.5 + m.x7)**2 + 2725 * m.b43 <= 2741) m.e102 = Constraint(expr= (-29 + m.x4)**2 + (-51.5 + m.x8)**2 + 2725 * m.b44 <= 2741) m.e103 = Constraint(expr= m.b33 + m.b37 + m.b41 == 1) m.e104 = Constraint(expr= m.b34 + m.b38 + m.b42 == 1) m.e105 = Constraint(expr= m.b35 + m.b39 + m.b43 == 1) m.e106 = Constraint(expr= m.b36 + m.b40 + m.b44 == 1)