# MINLP written by GAMS Convert at 02/17/22 17:19:04 # # Equation counts # Total E G L N X C B # 64 20 0 44 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 52 40 12 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 180 180 0 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(370,650), initialize=370) m.x2 = Var(within=Reals, bounds=(370,650), initialize=370) m.x3 = Var(within=Reals, bounds=(370,650), initialize=370) m.x4 = Var(within=Reals, bounds=(370,590), initialize=370) m.x5 = Var(within=Reals, bounds=(370,590), initialize=370) m.x6 = Var(within=Reals, bounds=(370,590), initialize=370) m.x7 = Var(within=Reals, bounds=(410,650), initialize=410) m.x8 = Var(within=Reals, bounds=(410,650), initialize=410) m.x9 = Var(within=Reals, bounds=(410,650), initialize=410) m.x10 = Var(within=Reals, bounds=(350,500), initialize=350) m.x11 = Var(within=Reals, bounds=(350,500), initialize=350) m.x12 = Var(within=Reals, bounds=(350,500), initialize=350) m.x13 = Var(within=Reals, bounds=(0,None), initialize=0) m.x14 = Var(within=Reals, bounds=(0,None), initialize=0) m.x15 = Var(within=Reals, bounds=(0,None), initialize=0) m.x16 = Var(within=Reals, bounds=(0,None), initialize=0) m.x17 = Var(within=Reals, bounds=(0,None), initialize=0) m.x18 = Var(within=Reals, bounds=(0,None), initialize=0) m.x19 = Var(within=Reals, bounds=(0,None), initialize=0) m.x20 = Var(within=Reals, bounds=(0,None), initialize=0) m.x21 = Var(within=Reals, bounds=(0,None), initialize=0) m.x22 = Var(within=Reals, bounds=(0,None), initialize=0) m.x23 = Var(within=Reals, bounds=(0,None), initialize=0) m.x24 = Var(within=Reals, bounds=(0,None), initialize=0) m.x25 = Var(within=Reals, bounds=(10,None), initialize=10) m.x26 = Var(within=Reals, bounds=(10,None), initialize=10) m.x27 = Var(within=Reals, bounds=(10,None), initialize=10) m.x28 = Var(within=Reals, bounds=(10,None), initialize=10) m.x29 = Var(within=Reals, bounds=(10,None), initialize=10) m.x30 = Var(within=Reals, bounds=(10,None), initialize=10) m.x31 = Var(within=Reals, bounds=(10,None), initialize=10) m.x32 = Var(within=Reals, bounds=(10,None), initialize=10) m.x33 = Var(within=Reals, bounds=(10,None), initialize=10) m.x34 = Var(within=Reals, bounds=(10,None), initialize=10) m.x35 = Var(within=Reals, bounds=(10,None), initialize=10) m.x36 = Var(within=Reals, bounds=(10,None), initialize=10) m.x37 = Var(within=Reals, bounds=(10,None), initialize=10) m.x38 = Var(within=Reals, bounds=(10,None), initialize=10) m.x39 = Var(within=Reals, bounds=(10,None), initialize=10) m.x40 = Var(within=Reals, bounds=(10,None), initialize=10) 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.b45 = Var(within=Binary, bounds=(0,1), initialize=0) m.b46 = Var(within=Binary, bounds=(0,1), initialize=0) m.b47 = Var(within=Binary, bounds=(0,1), initialize=0) m.b48 = Var(within=Binary, bounds=(0,1), initialize=0) m.b49 = Var(within=Binary, bounds=(0,1), initialize=0) m.b50 = Var(within=Binary, bounds=(0,1), initialize=0) m.b51 = Var(within=Binary, bounds=(0,1), initialize=0) m.b52 = Var(within=Binary, bounds=(0,1), initialize=0) m.obj = Objective(sense=minimize, expr= 300 * m.x13 / (0.5 * m.x25 * m.x26 * ( m.x25 + m.x26))**0.3333 + (300 * m.x14) / (0.5 * m.x26 * m.x27 * (m.x26 + m.x27))**0.3333 + (300 * m.x15) / (0.5 * m.x28 * m.x29 * (m.x28 + m.x29))** 0.3333 + (300 * m.x16) / (0.5 * m.x29 * m.x30 * (m.x29 + m.x30))**0.3333 + (300 * m.x17) / (0.5 * m.x31 * m.x32 * (m.x31 + m.x32))**0.3333 + (300 * m.x18) / (0.5 * m.x32 * m.x33 * (m.x32 + m.x33))**0.3333 + (300 * m.x19) / (0.5 * m.x34 * m.x35 * (m.x34 + m.x35))**0.3333 + (300 * m.x20) / (0.5 * m.x35 * m.x36 * (m.x35 + m.x36))**0.3333 + (300 * m.x21) / (35 * m.x37 * ( 70 + m.x37))**0.33333 + (300 * m.x22) / (35 * m.x38 * (70 + m.x38))** 0.33333 + (180 * m.x23) / (15 * m.x39 * (30 + m.x39))**0.33333 + (180 * m.x24) / (90 * m.x40 * (180 + m.x40))**0.33333 + 80 * m.x23 + 80 * m.x24 + 15 * m.x21 + 15 * m.x22 + 5500 * m.b41 + 5500 * m.b42 + 5500 * m.b43 + 5500 * m.b44 + 5500 * m.b45 + 5500 * m.b46 + 5500 * m.b47 + 5500 * m.b48 + 5500 * m.b49 + 5500 * m.b50 + 5500 * m.b51 + 5500 * m.b52) m.e1 = Constraint(expr= m.x13 + m.x14 + m.x15 + m.x16 + m.x21 == 2800) m.e2 = Constraint(expr= m.x17 + m.x18 + m.x19 + m.x20 + m.x22 == 4400) m.e3 = Constraint(expr= m.x13 + m.x14 + m.x17 + m.x18 + m.x23 == 3600) m.e4 = Constraint(expr= m.x15 + m.x16 + m.x19 + m.x20 + m.x24 == 1950) m.e5 = Constraint(expr= 10 * m.x1 - 10 * m.x2 - m.x13 - m.x15 == 0) m.e6 = Constraint(expr= 10 * m.x2 - 10 * m.x3 - m.x14 - m.x16 == 0) m.e7 = Constraint(expr= 20 * m.x4 - 20 * m.x5 - m.x17 - m.x19 == 0) m.e8 = Constraint(expr= 20 * m.x5 - 20 * m.x6 - m.x18 - m.x20 == 0) m.e9 = Constraint(expr= 15 * m.x7 - 15 * m.x8 - m.x13 - m.x17 == 0) m.e10 = Constraint(expr= 15 * m.x8 - 15 * m.x9 - m.x14 - m.x18 == 0) m.e11 = Constraint(expr= 13 * m.x10 - 13 * m.x11 - m.x15 - m.x19 == 0) m.e12 = Constraint(expr= 13 * m.x11 - 13 * m.x12 - m.x16 - m.x20 == 0) m.e13 = Constraint(expr= m.x1 == 650) m.e14 = Constraint(expr= m.x4 == 590) m.e15 = Constraint(expr= m.x9 == 410) m.e16 = Constraint(expr= m.x12 == 350) m.e17 = Constraint(expr= -m.x1 + m.x2 <= 0) m.e18 = Constraint(expr= -m.x2 + m.x3 <= 0) m.e19 = Constraint(expr= -m.x4 + m.x5 <= 0) m.e20 = Constraint(expr= -m.x5 + m.x6 <= 0) m.e21 = Constraint(expr= -m.x7 + m.x8 <= 0) m.e22 = Constraint(expr= -m.x8 + m.x9 <= 0) m.e23 = Constraint(expr= -m.x10 + m.x11 <= 0) m.e24 = Constraint(expr= -m.x11 + m.x12 <= 0) m.e25 = Constraint(expr= -m.x3 <= -370) m.e26 = Constraint(expr= -m.x6 <= -370) m.e27 = Constraint(expr= m.x7 <= 650) m.e28 = Constraint(expr= m.x10 <= 500) m.e29 = Constraint(expr= 10 * m.x3 - m.x21 == 3700) m.e30 = Constraint(expr= 20 * m.x6 - m.x22 == 7400) m.e31 = Constraint(expr= 15 * m.x7 + m.x23 == 9750) m.e32 = Constraint(expr= 13 * m.x10 + m.x24 == 6500) m.e33 = Constraint(expr= m.x13 - 2800 * m.b41 <= 0) m.e34 = Constraint(expr= m.x14 - 2800 * m.b42 <= 0) m.e35 = Constraint(expr= m.x15 - 1950 * m.b43 <= 0) m.e36 = Constraint(expr= m.x16 - 1950 * m.b44 <= 0) m.e37 = Constraint(expr= m.x17 - 3600 * m.b45 <= 0) m.e38 = Constraint(expr= m.x18 - 3600 * m.b46 <= 0) m.e39 = Constraint(expr= m.x19 - 1950 * m.b47 <= 0) m.e40 = Constraint(expr= m.x20 - 1950 * m.b48 <= 0) m.e41 = Constraint(expr= m.x21 - 2800 * m.b49 <= 0) m.e42 = Constraint(expr= m.x22 - 4400 * m.b50 <= 0) m.e43 = Constraint(expr= m.x23 - 3600 * m.b51 <= 0) m.e44 = Constraint(expr= m.x24 - 1950 * m.b52 <= 0) m.e45 = Constraint(expr= -m.x1 + m.x7 + m.x25 + 280 * m.b41 <= 280) m.e46 = Constraint(expr= -m.x2 + m.x8 + m.x26 + 130 * m.b42 <= 130) m.e47 = Constraint(expr= -m.x1 + m.x10 + m.x28 + 280 * m.b43 <= 280) m.e48 = Constraint(expr= -m.x2 + m.x11 + m.x29 + 150 * m.b44 <= 150) m.e49 = Constraint(expr= -m.x4 + m.x7 + m.x31 + 280 * m.b45 <= 280) m.e50 = Constraint(expr= -m.x5 + m.x8 + m.x32 + 130 * m.b46 <= 130) m.e51 = Constraint(expr= -m.x4 + m.x10 + m.x34 + 280 * m.b47 <= 280) m.e52 = Constraint(expr= -m.x5 + m.x11 + m.x35 + 150 * m.b48 <= 150) m.e53 = Constraint(expr= -m.x2 + m.x8 + m.x26 + 280 * m.b41 <= 280) m.e54 = Constraint(expr= -m.x3 + m.x9 + m.x27 + 130 * m.b42 <= 130) m.e55 = Constraint(expr= -m.x2 + m.x11 + m.x29 + 280 * m.b43 <= 280) m.e56 = Constraint(expr= -m.x3 + m.x12 + m.x30 + 150 * m.b44 <= 150) m.e57 = Constraint(expr= -m.x5 + m.x8 + m.x32 + 280 * m.b45 <= 280) m.e58 = Constraint(expr= -m.x6 + m.x9 + m.x33 + 130 * m.b46 <= 130) m.e59 = Constraint(expr= -m.x5 + m.x11 + m.x35 + 280 * m.b47 <= 280) m.e60 = Constraint(expr= -m.x6 + m.x12 + m.x36 + 150 * m.b48 <= 150) m.e61 = Constraint(expr= -m.x3 + m.x37 <= -320) m.e62 = Constraint(expr= -m.x6 + m.x38 <= -320) m.e63 = Constraint(expr= m.x7 + m.x39 <= 680) m.e64 = Constraint(expr= m.x10 + m.x40 <= 680)