# MINLP written by GAMS Convert at 02/17/22 17:23:01 # # Equation counts # Total E G L N X C B # 74 23 27 24 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 47 38 9 0 0 0 0 0 # FX 5 # # Nonzero counts # Total const NL # 291 228 63 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,None), initialize=0) m.x2 = Var(within=Reals, bounds=(0,None), initialize=0) m.x3 = Var(within=Reals, bounds=(0,None), initialize=0) m.x4 = Var(within=Reals, bounds=(0,None), initialize=0) m.x5 = Var(within=Reals, bounds=(0,None), initialize=0) m.x6 = Var(within=Reals, bounds=(0,None), initialize=0) m.x7 = Var(within=Reals, bounds=(0,None), initialize=0) m.x8 = Var(within=Reals, bounds=(0,None), initialize=0) m.x9 = Var(within=Reals, bounds=(0,None), initialize=0) m.x10 = Var(within=Reals, bounds=(0,None), initialize=0) m.x11 = Var(within=Reals, bounds=(0,None), initialize=0) m.x12 = Var(within=Reals, bounds=(0,None), initialize=0) m.x13 = Var(within=Reals, bounds=(643,643), initialize=643) m.x14 = Var(within=Reals, bounds=(643,4018.36), initialize=643) m.x15 = Var(within=Reals, bounds=(643,4018.36), initialize=643) m.x16 = Var(within=Reals, bounds=(536,3348.63), initialize=536) m.x17 = Var(within=Reals, bounds=(536,3348.63), initialize=536) m.x18 = Var(within=Reals, bounds=(536,3348.63), initialize=536) m.x19 = Var(within=Reals, bounds=(214,1339.45), initialize=214) m.x20 = Var(within=Reals, bounds=(214,1339.45), initialize=214) m.x21 = Var(within=Reals, bounds=(214,1339.45), initialize=214) m.x22 = Var(within=Reals, bounds=(643,4018.36), initialize=643) m.x23 = Var(within=Reals, bounds=(536,3348.63), initialize=536) m.x24 = Var(within=Reals, bounds=(214,1339.45), initialize=214) 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.x31 = Var(within=Reals, bounds=(0,None), initialize=0) m.x32 = Var(within=Reals, bounds=(0,None), initialize=0) m.x33 = Var(within=Reals, bounds=(0,None), initialize=0) m.x34 = Var(within=Reals, bounds=(0,None), initialize=0) m.x35 = Var(within=Reals, bounds=(0,None), initialize=0) m.x36 = Var(within=Reals, bounds=(0,None), initialize=0) m.x37 = Var(within=Reals, bounds=(0,None), initialize=0) m.b38 = Var(within=Binary, bounds=(1,1), initialize=1) m.b39 = Var(within=Binary, bounds=(0,0), initialize=0) m.b40 = Var(within=Binary, bounds=(0,1), initialize=0.550375356) m.b41 = Var(within=Binary, bounds=(0,0), initialize=0) m.b42 = Var(within=Binary, bounds=(0,1), initialize=0.292212117) m.b43 = Var(within=Binary, bounds=(0,1), initialize=0.224052867) m.b44 = Var(within=Binary, bounds=(0,0), initialize=0) m.b45 = Var(within=Binary, bounds=(0,1), initialize=0.856270347) m.b46 = Var(within=Binary, bounds=(0,1), initialize=0.067113723) m.x47 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= m.x47) m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 - m.x37 + 0.4 * m.b38 + 0.4 * m.b39 + 0.4 * m.b40 + 0.2 * m.b41 + 0.2 * m.b42 + 0.2 * m.b43 + 0.1 * m.b44 + 0.1 * m.b45 + 0.1 * m.b46 == 0) m.e2 = Constraint(expr= m.b38 + m.b41 + m.b44 <= 1) m.e3 = Constraint(expr= m.b39 + m.b42 + m.b45 <= 1) m.e4 = Constraint(expr= m.b40 + m.b43 + m.b46 <= 1) m.e5 = Constraint(expr= 11.4794520547945 * m.x1 - m.x4 - m.x13 + m.x14 + 4.59178082191781 * m.b38 + 2.2958904109589 * m.b41 + 1.14794520547945 * m.b44 == 0) m.e6 = Constraint(expr= 11.4794520547945 * m.x2 - m.x5 - m.x14 + m.x15 + 4.59178082191781 * m.b39 + 2.2958904109589 * m.b42 + 1.14794520547945 * m.b45 == 0) m.e7 = Constraint(expr= 11.4794520547945 * m.x3 - m.x6 + m.x13 - m.x15 + 4.59178082191781 * m.b40 + 2.2958904109589 * m.b43 + 1.14794520547945 * m.b46 == 0) m.e8 = Constraint(expr= 9.56712328767123 * m.x1 - m.x7 - m.x16 + m.x17 + 3.82684931506849 * m.b38 + 1.91342465753425 * m.b41 + 0.956712328767123 * m.b44 == 0) m.e9 = Constraint(expr= 9.56712328767123 * m.x2 - m.x8 - m.x17 + m.x18 + 3.82684931506849 * m.b39 + 1.91342465753425 * m.b42 + 0.956712328767123 * m.b45 == 0) m.e10 = Constraint(expr= 9.56712328767123 * m.x3 - m.x9 + m.x16 - m.x18 + 3.82684931506849 * m.b40 + 1.91342465753425 * m.b43 + 0.956712328767123 * m.b46 == 0) m.e11 = Constraint(expr= 3.82739726027397 * m.x1 - m.x10 - m.x19 + m.x20 + 1.53095890410959 * m.b38 + 0.765479452054795 * m.b41 + 0.382739726027397 * m.b44 == 0) m.e12 = Constraint(expr= 3.82739726027397 * m.x2 - m.x11 - m.x20 + m.x21 + 1.53095890410959 * m.b39 + 0.765479452054795 * m.b42 + 0.382739726027397 * m.b45 == 0) m.e13 = Constraint(expr= 3.82739726027397 * m.x3 - m.x12 + m.x19 - m.x21 + 1.53095890410959 * m.b40 + 0.765479452054795 * m.b43 + 0.382739726027397 * m.b46 == 0) m.e14 = Constraint(expr= m.x13 - m.x22 <= 0) m.e15 = Constraint(expr= m.x14 - m.x22 <= 0) m.e16 = Constraint(expr= m.x15 - m.x22 <= 0) m.e17 = Constraint(expr= m.x16 - m.x23 <= 0) m.e18 = Constraint(expr= m.x17 - m.x23 <= 0) m.e19 = Constraint(expr= m.x18 - m.x23 <= 0) m.e20 = Constraint(expr= m.x19 - m.x24 <= 0) m.e21 = Constraint(expr= m.x20 - m.x24 <= 0) m.e22 = Constraint(expr= m.x21 - m.x24 <= 0) m.e23 = Constraint(expr= -50 * m.x1 * m.b38 + m.x4 <= 0) m.e24 = Constraint(expr= -50 * m.x2 * m.b39 + m.x5 <= 0) m.e25 = Constraint(expr= -50 * m.x3 * m.b40 + m.x6 <= 0) m.e26 = Constraint(expr= -50 * m.x1 * m.b41 + m.x7 <= 0) m.e27 = Constraint(expr= -50 * m.x2 * m.b42 + m.x8 <= 0) m.e28 = Constraint(expr= -50 * m.x3 * m.b43 + m.x9 <= 0) m.e29 = Constraint(expr= -50 * m.x1 * m.b44 + m.x10 <= 0) m.e30 = Constraint(expr= -50 * m.x2 * m.b45 + m.x11 <= 0) m.e31 = Constraint(expr= -50 * m.x3 * m.b46 + m.x12 <= 0) m.e32 = Constraint(expr= -15 * m.x1 * m.b38 + m.x4 >= 0) m.e33 = Constraint(expr= -15 * m.x2 * m.b39 + m.x5 >= 0) m.e34 = Constraint(expr= -15 * m.x3 * m.b40 + m.x6 >= 0) m.e35 = Constraint(expr= -15 * m.x1 * m.b41 + m.x7 >= 0) m.e36 = Constraint(expr= -15 * m.x2 * m.b42 + m.x8 >= 0) m.e37 = Constraint(expr= -15 * m.x3 * m.b43 + m.x9 >= 0) m.e38 = Constraint(expr= -7 * m.x1 * m.b44 + m.x10 >= 0) m.e39 = Constraint(expr= -7 * m.x2 * m.b45 + m.x11 >= 0) m.e40 = Constraint(expr= -7 * m.x3 * m.b46 + m.x12 >= 0) m.e41 = Constraint(expr= m.x1 - 40 * m.b38 - 40 * m.b41 - 40 * m.b44 <= 0) m.e42 = Constraint(expr= m.x2 - 40 * m.b39 - 40 * m.b42 - 40 * m.b45 <= 0) m.e43 = Constraint(expr= m.x3 - 40 * m.b40 - 40 * m.b43 - 40 * m.b46 <= 0) m.e44 = Constraint(expr= m.x1 - m.b38 - m.b41 - m.b44 >= 0) m.e45 = Constraint(expr= m.x2 - m.b39 - m.b42 - m.b45 >= 0) m.e46 = Constraint(expr= m.x3 - m.b40 - m.b43 - m.b46 >= 0) m.e47 = Constraint(expr= m.x35 - 10 * m.b38 - 10 * m.b39 - 10 * m.b40 - 20 * m.b41 - 20 * m.b42 - 20 * m.b43 - 30 * m.b44 - 30 * m.b45 - 30 * m.b46 == 0) m.e48 = Constraint(expr= -0.3271 * (sqrt(m.x22) + sqrt(m.x23) + sqrt(m.x24)) + m.x34 == 0) m.e49 = Constraint(expr= -0.0515901369863014 * m.x25 * (m.x1 + 0.4 * m.b38 + 0.2 * m.b41 + 0.1 * m.b44) - 0.0515901369863014 * m.x26 * (m.x2 + 0.4 * m.b39 + 0.2 * m.b42 + 0.1 * m.b45) - 0.0515901369863014 * m.x27 * (m.x3 + 0.4 * m.b40 + 0.2 * m.b43 + 0.1 * m.b46) - 0.0528586301369863 * m.x28 * ( m.x1 + 0.4 * m.b38 + 0.2 * m.b41 + 0.1 * m.b44) - 0.0528586301369863 * m.x29 * (m.x2 + 0.4 * m.b39 + 0.2 * m.b42 + 0.1 * m.b45) - 0.0528586301369863 * m.x30 * (m.x3 + 0.4 * m.b40 + 0.2 * m.b43 + 0.1 * m.b46) - 0.0541268493150685 * m.x31 * (m.x1 + 0.4 * m.b38 + 0.2 * m.b41 + 0.1 * m.b44) - 0.0541268493150685 * m.x32 * (m.x2 + 0.4 * m.b39 + 0.2 * m.b42 + 0.1 * m.b45) - 0.0541268493150685 * m.x33 * (m.x3 + 0.4 * m.b40 + 0.2 * m.b43 + 0.1 * m.b46) + m.x36 == 0) m.e50 = Constraint(expr= -0.5 * m.x13 - 0.5 * m.x14 + m.x25 == -643) m.e51 = Constraint(expr= -0.5 * m.x14 - 0.5 * m.x15 + m.x26 == -643) m.e52 = Constraint(expr= -0.5 * m.x13 - 0.5 * m.x15 + m.x27 == -643) m.e53 = Constraint(expr= -0.5 * m.x16 - 0.5 * m.x17 + m.x28 == -536) m.e54 = Constraint(expr= -0.5 * m.x17 - 0.5 * m.x18 + m.x29 == -536) m.e55 = Constraint(expr= -0.5 * m.x16 - 0.5 * m.x18 + m.x30 == -536) m.e56 = Constraint(expr= -0.5 * m.x19 - 0.5 * m.x20 + m.x31 == -214) m.e57 = Constraint(expr= -0.5 * m.x20 - 0.5 * m.x21 + m.x32 == -214) m.e58 = Constraint(expr= -0.5 * m.x19 - 0.5 * m.x21 + m.x33 == -214) m.e59 = Constraint(expr= m.x37 * (-m.x34 + 24.8739726027397 * m.x47) - m.x35 - m.x36 == 0) m.e60 = Constraint(expr= -m.x1 + 40 * m.b38 + 40 * m.b41 + 40 * m.b44 >= 0) m.e61 = Constraint(expr= -m.x2 + 40 * m.b39 + 40 * m.b42 + 40 * m.b45 >= 0) m.e62 = Constraint(expr= -m.x3 + 40 * m.b40 + 40 * m.b43 + 40 * m.b46 >= 0) m.e63 = Constraint(expr= -m.b38 - m.b39 >= -1) m.e64 = Constraint(expr= -m.b39 - m.b40 >= -1) m.e65 = Constraint(expr= -m.b40 >= -1) m.e66 = Constraint(expr= -m.b41 - m.b42 >= -1) m.e67 = Constraint(expr= -m.b42 - m.b43 >= -1) m.e68 = Constraint(expr= -m.b43 >= -1) m.e69 = Constraint(expr= -m.b44 - m.b45 >= -1) m.e70 = Constraint(expr= -m.b45 - m.b46 >= -1) m.e71 = Constraint(expr= -m.b46 >= -1) m.e72 = Constraint(expr= m.b38 - m.b39 + m.b41 - m.b42 + m.b44 - m.b45 >= 0) m.e73 = Constraint(expr= m.b39 - m.b40 + m.b42 - m.b43 + m.b45 - m.b46 >= 0) m.e74 = Constraint(expr= m.b40 + m.b43 + m.b46 >= 0)