# MINLP written by GAMS Convert at 02/17/22 17:20:02 # # Equation counts # Total E G L N X C B # 90 30 18 42 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 76 60 16 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 242 242 0 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.b1 = Var(within=Binary, bounds=(0,1), initialize=0) m.b2 = Var(within=Binary, bounds=(0,1), initialize=0) m.b3 = Var(within=Binary, bounds=(0,1), initialize=0) m.b4 = Var(within=Binary, bounds=(0,1), initialize=0) m.b5 = Var(within=Binary, bounds=(0,1), initialize=0) m.b6 = Var(within=Binary, bounds=(0,1), initialize=0) 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.x17 = Var(within=Reals, bounds=(320,500), initialize=500) m.x18 = Var(within=Reals, bounds=(320,500), initialize=500) m.x19 = Var(within=Reals, bounds=(320,500), initialize=500) m.x20 = Var(within=Reals, bounds=(380,480), initialize=480) m.x21 = Var(within=Reals, bounds=(380,480), initialize=480) m.x22 = Var(within=Reals, bounds=(380,480), initialize=480) m.x23 = Var(within=Reals, bounds=(360,460), initialize=460) m.x24 = Var(within=Reals, bounds=(360,460), initialize=460) m.x25 = Var(within=Reals, bounds=(360,460), initialize=460) m.x26 = Var(within=Reals, bounds=(360,380), initialize=380) m.x27 = Var(within=Reals, bounds=(360,380), initialize=380) m.x28 = Var(within=Reals, bounds=(360,380), initialize=380) m.x29 = Var(within=Reals, bounds=(320,380), initialize=380) m.x30 = Var(within=Reals, bounds=(320,380), initialize=380) m.x31 = Var(within=Reals, bounds=(320,380), initialize=380) m.x32 = Var(within=Reals, bounds=(290,660), initialize=290) m.x33 = Var(within=Reals, bounds=(290,660), initialize=290) m.x34 = Var(within=Reals, bounds=(290,660), initialize=290) m.x35 = Var(within=Reals, bounds=(0,None), initialize=1080) m.x36 = Var(within=Reals, bounds=(0,None), initialize=1080) m.x37 = Var(within=Reals, bounds=(0,None), initialize=0) m.x38 = Var(within=Reals, bounds=(0,None), initialize=400) m.x39 = Var(within=Reals, bounds=(0,None), initialize=400) m.x40 = Var(within=Reals, bounds=(0,None), initialize=0) m.x41 = Var(within=Reals, bounds=(0,None), initialize=600) m.x42 = Var(within=Reals, bounds=(0,None), initialize=600) m.x43 = Var(within=Reals, bounds=(0,None), initialize=0) m.x44 = Var(within=Reals, bounds=(0,None), initialize=400) m.x45 = Var(within=Reals, bounds=(0,None), initialize=400) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0) m.x47 = Var(within=Reals, bounds=(0,None), initialize=720) m.x48 = Var(within=Reals, bounds=(0,None), initialize=720) 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=(10,None), initialize=210) m.x57 = Var(within=Reals, bounds=(10,None), initialize=210) m.x58 = Var(within=Reals, bounds=(10,None), initialize=210) m.x59 = Var(within=Reals, bounds=(10,None), initialize=190) m.x60 = Var(within=Reals, bounds=(10,None), initialize=190) m.x61 = Var(within=Reals, bounds=(10,None), initialize=190) m.x62 = Var(within=Reals, bounds=(10,None), initialize=170) m.x63 = Var(within=Reals, bounds=(10,None), initialize=170) m.x64 = Var(within=Reals, bounds=(10,None), initialize=170) m.x65 = Var(within=Reals, bounds=(10,None), initialize=90) m.x66 = Var(within=Reals, bounds=(10,None), initialize=90) m.x67 = Var(within=Reals, bounds=(10,None), initialize=90) m.x68 = Var(within=Reals, bounds=(10,None), initialize=90) m.x69 = Var(within=Reals, bounds=(10,None), initialize=90) m.x70 = Var(within=Reals, bounds=(10,None), initialize=90) m.x71 = Var(within=Reals, bounds=(10,None), initialize=180) m.x72 = Var(within=Reals, bounds=(10,None), initialize=160) m.x73 = Var(within=Reals, bounds=(10,None), initialize=140) m.x74 = Var(within=Reals, bounds=(10,None), initialize=60) m.x75 = Var(within=Reals, bounds=(10,None), initialize=60) m.x76 = Var(within=Reals, bounds=(10,None), initialize=410) m.obj = Objective(sense=minimize, expr= 1200 * ((m.x35 / ((0.5 * m.x56 * m.x57 * (m.x56 + m.x57) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (m.x36 / (( 0.5 * m.x57 * m.x58 * (m.x57 + m.x58) + 1e-06)**0.33333 + 1e-06) + 1e-06)** 0.6 + (1e-06 + 99.9853968566039 * m.x37)**0.6 + (m.x38 / ((0.5 * m.x59 * m.x60 * (m.x59 + m.x60) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (m.x39 / ((0.5 * m.x60 * m.x61 * (m.x60 + m.x61) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (1e-06 + 99.9853968566039 * m.x40)**0.6 + (m.x41 / ((0.5 * m.x62 * m.x63 * (m.x62 + m.x63) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (m.x42 / ((0.5 * m.x63 * m.x64 * (m.x63 + m.x64) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (1e-06 + 99.9853968566039 * m.x43)**0.6 + (m.x44 / ((0.5 * m.x65 * m.x66 * (m.x65 + m.x66) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (m.x45 / ((0.5 * m.x66 * m.x67 * (m.x66 + m.x67) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (1e-06 + 99.9853968566039 * m.x46)**0.6 + (m.x47 / ( (0.5 * m.x68 * m.x69 * (m.x68 + m.x69) + 1e-06)**0.33333 + 1e-06) + 1e-06) **0.6 + (m.x48 / ((0.5 * m.x69 * m.x70 * (m.x69 + m.x70) + 1e-06)**0.33333 + 1e-06) + 1e-06)**0.6 + (1e-06 + 99.9853968566039 * m.x49)**0.6) + 1200 * (m.x55 / (40 * m.x76 * (20 + 0.5 * m.x76) + 1e-06)**0.33333 + 1e-06)** 0.6 + 140 * m.x55 + 1200 * ((m.x50 / (10 * m.x71 * (20 + m.x71) + 1e-06)** 0.33333 + 1e-06)**0.6 + (m.x51 / (40 * m.x72 * (80 + m.x72) + 1e-06)** 0.33333 + 1e-06)**0.6 + (m.x52 / (30 * m.x73 * (60 + m.x73) + 1e-06)** 0.33333 + 1e-06)**0.6 + (m.x53 / (30 * m.x74 * (60 + m.x74) + 1e-06)** 0.33333 + 1e-06)**0.6 + (m.x54 / (10 * m.x75 * (20 + m.x75) + 1e-06)** 0.33333 + 1e-06)**0.6) + 10 * m.x50 + 10 * m.x51 + 10 * m.x52 + 10 * m.x53 + 10 * m.x54 + 5500 * m.b1 + 5500 * m.b2 + 5500 * m.b3 + 5500 * m.b4 + 5500 * m.b5 + 5500 * m.b6 + 5500 * m.b7 + 5500 * m.b8 + 5500 * m.b9 + 5500 * m.b10 + 5500 * m.b11 + 5500 * m.b12 + 5500 * m.b13 + 5500 * m.b14 + 5500 * m.b15 + 5500 * m.b16) m.e1 = Constraint(expr= 6 * m.x17 - 6 * m.x18 - m.x35 == 0) m.e2 = Constraint(expr= 6 * m.x18 - 6 * m.x19 - m.x36 == 0) m.e3 = Constraint(expr= 4 * m.x20 - 4 * m.x21 - m.x38 == 0) m.e4 = Constraint(expr= 4 * m.x21 - 4 * m.x22 - m.x39 == 0) m.e5 = Constraint(expr= 6 * m.x23 - 6 * m.x24 - m.x41 == 0) m.e6 = Constraint(expr= 6 * m.x24 - 6 * m.x25 - m.x42 == 0) m.e7 = Constraint(expr= 20 * m.x26 - 20 * m.x27 - m.x44 == 0) m.e8 = Constraint(expr= 20 * m.x27 - 20 * m.x28 - m.x45 == 0) m.e9 = Constraint(expr= 12 * m.x29 - 12 * m.x30 - m.x47 == 0) m.e10 = Constraint(expr= 12 * m.x30 - 12 * m.x31 - m.x48 == 0) m.e11 = Constraint(expr= 18 * m.x32 - 18 * m.x33 - m.x35 - m.x38 - m.x41 - m.x44 - m.x47 == 0) m.e12 = Constraint(expr= 18 * m.x33 - 18 * m.x34 - m.x36 - m.x39 - m.x42 - m.x45 - m.x48 == 0) m.e13 = Constraint(expr= 6 * m.x19 - m.x50 == 1920) m.e14 = Constraint(expr= 4 * m.x22 - m.x51 == 1520) m.e15 = Constraint(expr= 6 * m.x25 - m.x52 == 2160) m.e16 = Constraint(expr= 20 * m.x28 - m.x53 == 7200) m.e17 = Constraint(expr= 12 * m.x31 - m.x54 == 3840) m.e18 = Constraint(expr= -m.x35 - m.x36 - m.x50 == -1080) m.e19 = Constraint(expr= -m.x38 - m.x39 - m.x51 == -400) m.e20 = Constraint(expr= -m.x41 - m.x42 - m.x52 == -600) m.e21 = Constraint(expr= -m.x44 - m.x45 - m.x53 == -400) m.e22 = Constraint(expr= -m.x47 - m.x48 - m.x54 == -720) m.e23 = Constraint(expr= -18 * m.x32 - m.x55 == -11880) m.e24 = Constraint(expr= -m.x35 - m.x36 - m.x38 - m.x39 - m.x41 - m.x42 - m.x44 - m.x45 - m.x47 - m.x48 - m.x55 == -6660) m.e25 = Constraint(expr= m.x17 - m.x18 >= 0) m.e26 = Constraint(expr= m.x18 - m.x19 >= 0) m.e27 = Constraint(expr= m.x20 - m.x21 >= 0) m.e28 = Constraint(expr= m.x21 - m.x22 >= 0) m.e29 = Constraint(expr= m.x23 - m.x24 >= 0) m.e30 = Constraint(expr= m.x24 - m.x25 >= 0) m.e31 = Constraint(expr= m.x26 - m.x27 >= 0) m.e32 = Constraint(expr= m.x27 - m.x28 >= 0) m.e33 = Constraint(expr= m.x29 - m.x30 >= 0) m.e34 = Constraint(expr= m.x30 - m.x31 >= 0) m.e35 = Constraint(expr= m.x32 - m.x33 >= 0) m.e36 = Constraint(expr= m.x33 - m.x34 >= 0) m.e37 = Constraint(expr= m.x19 >= 320) m.e38 = Constraint(expr= m.x22 >= 380) m.e39 = Constraint(expr= m.x25 >= 360) m.e40 = Constraint(expr= m.x28 >= 360) m.e41 = Constraint(expr= m.x31 >= 320) m.e42 = Constraint(expr= -m.x32 >= -660) m.e43 = Constraint(expr= -m.x17 == -500) m.e44 = Constraint(expr= -m.x20 == -480) m.e45 = Constraint(expr= -m.x23 == -460) m.e46 = Constraint(expr= -m.x26 == -380) m.e47 = Constraint(expr= -m.x29 == -380) m.e48 = Constraint(expr= -m.x34 == -290) m.e49 = Constraint(expr= -1080 * m.b1 + m.x35 <= 0) m.e50 = Constraint(expr= -1080 * m.b2 + m.x36 <= 0) m.e51 = Constraint(expr= -400 * m.b3 + m.x38 <= 0) m.e52 = Constraint(expr= -400 * m.b4 + m.x39 <= 0) m.e53 = Constraint(expr= -600 * m.b5 + m.x41 <= 0) m.e54 = Constraint(expr= -600 * m.b6 + m.x42 <= 0) m.e55 = Constraint(expr= -400 * m.b7 + m.x44 <= 0) m.e56 = Constraint(expr= -400 * m.b8 + m.x45 <= 0) m.e57 = Constraint(expr= -720 * m.b9 + m.x47 <= 0) m.e58 = Constraint(expr= -720 * m.b10 + m.x48 <= 0) m.e59 = Constraint(expr= -6660 * m.b16 + m.x55 <= 0) m.e60 = Constraint(expr= -1080 * m.b11 + m.x50 <= 0) m.e61 = Constraint(expr= -400 * m.b12 + m.x51 <= 0) m.e62 = Constraint(expr= -600 * m.b13 + m.x52 <= 0) m.e63 = Constraint(expr= -400 * m.b14 + m.x53 <= 0) m.e64 = Constraint(expr= -720 * m.b15 + m.x54 <= 0) m.e65 = Constraint(expr= 340 * m.b1 - m.x17 + m.x32 + m.x56 <= 340) m.e66 = Constraint(expr= 340 * m.b2 - m.x18 + m.x33 + m.x57 <= 340) m.e67 = Constraint(expr= 280 * m.b3 - m.x20 + m.x32 + m.x59 <= 280) m.e68 = Constraint(expr= 280 * m.b4 - m.x21 + m.x33 + m.x60 <= 280) m.e69 = Constraint(expr= 300 * m.b5 - m.x23 + m.x32 + m.x62 <= 300) m.e70 = Constraint(expr= 300 * m.b6 - m.x24 + m.x33 + m.x63 <= 300) m.e71 = Constraint(expr= 300 * m.b7 - m.x26 + m.x32 + m.x65 <= 300) m.e72 = Constraint(expr= 300 * m.b8 - m.x27 + m.x33 + m.x66 <= 300) m.e73 = Constraint(expr= 340 * m.b9 - m.x29 + m.x32 + m.x68 <= 340) m.e74 = Constraint(expr= 340 * m.b10 - m.x30 + m.x33 + m.x69 <= 340) m.e75 = Constraint(expr= 340 * m.b1 - m.x18 + m.x33 + m.x57 <= 340) m.e76 = Constraint(expr= 340 * m.b2 - m.x19 + m.x34 + m.x58 <= 340) m.e77 = Constraint(expr= 280 * m.b3 - m.x21 + m.x33 + m.x60 <= 280) m.e78 = Constraint(expr= 280 * m.b4 - m.x22 + m.x34 + m.x61 <= 280) m.e79 = Constraint(expr= 300 * m.b5 - m.x24 + m.x33 + m.x63 <= 300) m.e80 = Constraint(expr= 300 * m.b6 - m.x25 + m.x34 + m.x64 <= 300) m.e81 = Constraint(expr= 300 * m.b7 - m.x27 + m.x33 + m.x66 <= 300) m.e82 = Constraint(expr= 300 * m.b8 - m.x28 + m.x34 + m.x67 <= 300) m.e83 = Constraint(expr= 340 * m.b9 - m.x30 + m.x33 + m.x69 <= 340) m.e84 = Constraint(expr= 340 * m.b10 - m.x31 + m.x34 + m.x70 <= 340) m.e85 = Constraint(expr= -m.x19 + m.x71 <= -320) m.e86 = Constraint(expr= -m.x22 + m.x72 <= -320) m.e87 = Constraint(expr= -m.x25 + m.x73 <= -320) m.e88 = Constraint(expr= -m.x28 + m.x74 <= -320) m.e89 = Constraint(expr= -m.x31 + m.x75 <= -320) m.e90 = Constraint(expr= m.x32 + m.x76 <= 700)