# MINLP written by GAMS Convert at 02/17/22 17:19:43 # # Equation counts # Total E G L N X C B # 69 48 11 10 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 90 80 10 0 0 0 0 0 # FX 4 # # Nonzero counts # Total const NL # 263 133 130 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(2,200), initialize=20) m.x2 = Var(within=Reals, bounds=(2,200), initialize=20) m.x3 = Var(within=Reals, bounds=(2,200), initialize=20) m.x4 = Var(within=Reals, bounds=(2,200), initialize=20) m.x5 = Var(within=Reals, bounds=(2,200), initialize=20) m.x6 = Var(within=Reals, bounds=(2,200), initialize=20) m.x7 = Var(within=Reals, bounds=(2,200), initialize=20) m.x8 = Var(within=Reals, bounds=(2,200), initialize=20) m.x9 = Var(within=Reals, bounds=(2,200), initialize=20) m.x10 = Var(within=Reals, bounds=(2,200), initialize=20) m.x11 = Var(within=Reals, bounds=(2,200), initialize=20) m.x12 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x13 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x14 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x15 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x16 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x17 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x18 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x19 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x20 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x21 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x22 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x23 = Var(within=Reals, bounds=(500,500), initialize=500) m.x24 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x25 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x26 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x27 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x28 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x29 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x30 = Var(within=Reals, bounds=(600,600), initialize=600) m.x31 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x32 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x33 = Var(within=Reals, bounds=(200,1000), initialize=200) m.x34 = Var(within=Reals, bounds=(300,300), initialize=300) m.x35 = Var(within=Reals, bounds=(4,36), initialize=18) m.x36 = Var(within=Reals, bounds=(4,36), initialize=18) m.x37 = Var(within=Reals, bounds=(4,36), initialize=18) m.x38 = Var(within=Reals, bounds=(4,18), initialize=4) m.x39 = Var(within=Reals, bounds=(4,18), initialize=4) m.x40 = Var(within=Reals, bounds=(4,18), initialize=4) m.x41 = Var(within=Reals, bounds=(4,18), initialize=4) m.x42 = Var(within=Reals, bounds=(4,18), initialize=4) m.x43 = Var(within=Reals, bounds=(4,18), initialize=4) m.x44 = Var(within=Reals, bounds=(4,18), initialize=4) m.x45 = Var(within=Reals, bounds=(4,18), initialize=4) m.x46 = Var(within=Reals, bounds=(600,600), initialize=600) m.x47 = Var(within=Reals, bounds=(200,600), initialize=200) m.x48 = Var(within=Reals, bounds=(200,600), initialize=200) m.x49 = Var(within=Reals, bounds=(200,600), initialize=200) m.x50 = Var(within=Reals, bounds=(200,600), initialize=200) m.x51 = Var(within=Reals, bounds=(200,600), initialize=200) m.x52 = Var(within=Reals, bounds=(200,600), initialize=200) m.x53 = Var(within=Reals, bounds=(200,600), initialize=200) m.x54 = Var(within=Reals, bounds=(200,600), initialize=200) m.x55 = Var(within=Reals, bounds=(200,600), initialize=200) m.x56 = Var(within=Reals, bounds=(200,600), initialize=200) m.x57 = Var(within=Reals, bounds=(200,600), initialize=200) m.x58 = Var(within=Reals, bounds=(1,2), initialize=1) m.x59 = Var(within=Reals, bounds=(1,2), initialize=1) m.x60 = Var(within=Reals, bounds=(1,2), initialize=1) m.x61 = Var(within=Reals, bounds=(1,2), initialize=1) m.x62 = Var(within=Reals, bounds=(1,2), initialize=1) m.x63 = Var(within=Reals, bounds=(1,2), initialize=1) m.x64 = Var(within=Reals, bounds=(1,2), initialize=1) m.x65 = Var(within=Reals, bounds=(1,2), initialize=1) m.x66 = Var(within=Reals, bounds=(1,2), initialize=1) m.x67 = Var(within=Reals, bounds=(1,2), initialize=1) m.x68 = Var(within=Reals, bounds=(0,None), initialize=0) m.x69 = Var(within=Reals, bounds=(0,None), initialize=0) m.x70 = Var(within=Reals, bounds=(0,None), initialize=0) m.x71 = Var(within=Reals, bounds=(0,None), initialize=0) m.x72 = Var(within=Reals, bounds=(0,None), initialize=0) m.x73 = Var(within=Reals, bounds=(0,None), initialize=0) m.x74 = Var(within=Reals, bounds=(0,None), initialize=0) m.x75 = Var(within=Reals, bounds=(0,None), initialize=0) m.x76 = Var(within=Reals, bounds=(0,None), initialize=0) m.x77 = Var(within=Reals, bounds=(0,None), initialize=0) m.b78 = Var(within=Binary, bounds=(0,1), initialize=0) m.b79 = Var(within=Binary, bounds=(0,1), initialize=0) m.b80 = Var(within=Binary, bounds=(0,1), initialize=0) m.b81 = Var(within=Binary, bounds=(0,1), initialize=0) m.b82 = Var(within=Binary, bounds=(0,1), initialize=0) m.b83 = Var(within=Binary, bounds=(0,1), initialize=0) m.b84 = Var(within=Binary, bounds=(0,1), initialize=0) m.b85 = Var(within=Binary, bounds=(0,1), initialize=0) m.b86 = Var(within=Binary, bounds=(0,1), initialize=0) m.b87 = Var(within=Binary, bounds=(0,1), initialize=0) m.x88 = Var(within=Reals, bounds=(None,None), initialize=0) m.x89 = Var(within=Reals, bounds=(None,None), initialize=0) m.x90 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= m.x88 + m.x89 + m.x90) m.e1 = Constraint(expr= m.x12 - m.x24 >= 0) m.e2 = Constraint(expr= m.x13 - m.x25 >= 0) m.e3 = Constraint(expr= m.x14 - m.x26 >= 0) m.e4 = Constraint(expr= m.x15 - m.x27 >= 0) m.e5 = Constraint(expr= m.x16 - m.x28 >= 0) m.e6 = Constraint(expr= m.x17 - m.x29 >= 0) m.e7 = Constraint(expr= m.x18 - m.x30 >= 0) m.e8 = Constraint(expr= m.x19 - m.x31 >= 0) m.e9 = Constraint(expr= m.x20 - m.x32 >= 0) m.e10 = Constraint(expr= m.x21 - m.x33 >= 0) m.e11 = Constraint(expr= m.x22 - m.x34 >= 0) m.e12 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 == 175) m.e13 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x8 + m.x9 + m.x10 + m.x11 == 200) m.e14 = Constraint(expr= -7.58641e-07 * m.x35**5.33333333333333 * (m.x12**2 - m.x24**2) / m.x47**2 + m.x1 == 0) m.e15 = Constraint(expr= -7.58641e-07 * m.x36**5.33333333333333 * (m.x13**2 - m.x25**2) / m.x48**2 + m.x2 == 0) m.e16 = Constraint(expr= -7.58641e-07 * m.x37**5.33333333333333 * (m.x14**2 - m.x26**2) / m.x49**2 + m.x3 == 0) m.e17 = Constraint(expr= -7.58641e-07 * m.x38**5.33333333333333 * (m.x15**2 - m.x27**2) / m.x50**2 + m.x4 == 0) m.e18 = Constraint(expr= -7.58641e-07 * m.x39**5.33333333333333 * (m.x16**2 - m.x28**2) / m.x51**2 + m.x5 == 0) m.e19 = Constraint(expr= -7.58641e-07 * m.x40**5.33333333333333 * (m.x17**2 - m.x29**2) / m.x52**2 + m.x6 == 0) m.e20 = Constraint(expr= -7.58641e-07 * m.x41**5.33333333333333 * (m.x18**2 - m.x30**2) / m.x53**2 + m.x7 == 0) m.e21 = Constraint(expr= -7.58641e-07 * m.x42**5.33333333333333 * (m.x19**2 - m.x31**2) / m.x54**2 + m.x8 == 0) m.e22 = Constraint(expr= -7.58641e-07 * m.x43**5.33333333333333 * (m.x20**2 - m.x32**2) / m.x55**2 + m.x9 == 0) m.e23 = Constraint(expr= -7.58641e-07 * m.x44**5.33333333333333 * (m.x21**2 - m.x33**2) / m.x56**2 + m.x10 == 0) m.e24 = Constraint(expr= -7.58641e-07 * m.x45**5.33333333333333 * (m.x22**2 - m.x34**2) / m.x57**2 + m.x11 == 0) m.e25 = Constraint(expr= -0.005 * m.x46 * m.b78 + m.x46 - m.x47 == 0) m.e26 = Constraint(expr= -0.005 * m.x47 * m.b79 + m.x47 - m.x48 == 0) m.e27 = Constraint(expr= -0.005 * m.x48 * m.b80 + m.x48 - m.x49 == 0) m.e28 = Constraint(expr= -0.005 * m.x49 * m.b81 + m.x49 - m.x50 - m.x54 == 0) m.e29 = Constraint(expr= -0.005 * m.x50 * m.b82 + m.x50 - m.x51 == 0) m.e30 = Constraint(expr= -0.005 * m.x51 * m.b83 + m.x51 - m.x52 == 0) m.e31 = Constraint(expr= -0.005 * m.x52 * m.b84 + m.x52 - m.x53 == 0) m.e32 = Constraint(expr= -0.005 * m.x54 * m.b85 + m.x54 - m.x55 == 0) m.e33 = Constraint(expr= -0.005 * m.x55 * m.b86 + m.x55 - m.x56 == 0) m.e34 = Constraint(expr= -0.005 * m.x56 * m.b87 + m.x56 - m.x57 == 0) m.e35 = Constraint(expr= -m.x47 * (214.9812 * m.x58**0.181587301587302 - 214.9812) + m.x68 == 0) m.e36 = Constraint(expr= -m.x48 * (214.9812 * m.x59**0.181587301587302 - 214.9812) + m.x69 == 0) m.e37 = Constraint(expr= -m.x49 * (214.9812 * m.x60**0.181587301587302 - 214.9812) + m.x70 == 0) m.e38 = Constraint(expr= -m.x50 * (214.9812 * m.x61**0.181587301587302 - 214.9812) + m.x71 == 0) m.e39 = Constraint(expr= -m.x54 * (214.9812 * m.x61**0.181587301587302 - 214.9812) + m.x71 == 0) m.e40 = Constraint(expr= -m.x51 * (214.9812 * m.x62**0.181587301587302 - 214.9812) + m.x72 == 0) m.e41 = Constraint(expr= -m.x52 * (214.9812 * m.x63**0.181587301587302 - 214.9812) + m.x73 == 0) m.e42 = Constraint(expr= -m.x53 * (214.9812 * m.x64**0.181587301587302 - 214.9812) + m.x74 == 0) m.e43 = Constraint(expr= -m.x55 * (214.9812 * m.x65**0.181587301587302 - 214.9812) + m.x75 == 0) m.e44 = Constraint(expr= -m.x56 * (214.9812 * m.x66**0.181587301587302 - 214.9812) + m.x76 == 0) m.e45 = Constraint(expr= -m.x57 * (214.9812 * m.x67**0.181587301587302 - 214.9812) + m.x77 == 0) m.e46 = Constraint(expr= m.x58 * m.x23 - m.x12 == 0) m.e47 = Constraint(expr= m.x59 * m.x24 - m.x13 == 0) m.e48 = Constraint(expr= m.x60 * m.x25 - m.x14 == 0) m.e49 = Constraint(expr= m.x61 * m.x26 - m.x15 == 0) m.e50 = Constraint(expr= m.x61 * m.x26 - m.x19 == 0) m.e51 = Constraint(expr= m.x62 * m.x27 - m.x16 == 0) m.e52 = Constraint(expr= m.x63 * m.x28 - m.x17 == 0) m.e53 = Constraint(expr= m.x64 * m.x29 - m.x18 == 0) m.e54 = Constraint(expr= m.x65 * m.x31 - m.x20 == 0) m.e55 = Constraint(expr= m.x66 * m.x32 - m.x21 == 0) m.e56 = Constraint(expr= m.x67 * m.x33 - m.x22 == 0) m.e57 = Constraint(expr= m.x58 - m.b78 <= 1) m.e58 = Constraint(expr= m.x59 - m.b79 <= 1) m.e59 = Constraint(expr= m.x60 - m.b80 <= 1) m.e60 = Constraint(expr= m.x61 - m.b81 <= 1) m.e61 = Constraint(expr= m.x62 - m.b82 <= 1) m.e62 = Constraint(expr= m.x63 - m.b83 <= 1) m.e63 = Constraint(expr= m.x64 - m.b84 <= 1) m.e64 = Constraint(expr= m.x65 - m.b85 <= 1) m.e65 = Constraint(expr= m.x66 - m.b86 <= 1) m.e66 = Constraint(expr= m.x67 - m.b87 <= 1) m.e67 = Constraint(expr= -870 * m.x1 * m.x35 - 870 * m.x2 * m.x36 - 870 * m.x3 * m.x37 - 870 * m.x4 * m.x38 - 870 * m.x5 * m.x39 - 870 * m.x6 * m.x40 - 870 * m.x7 * m.x41 - 870 * m.x8 * m.x42 - 870 * m.x9 * m.x43 - 870 * m.x10 * m.x44 - 870 * m.x11 * m.x45 + m.x88 == 0) m.e68 = Constraint(expr= -70 * m.x68 - 70 * m.x69 - 70 * m.x70 - 70 * m.x71 - 70 * m.x72 - 70 * m.x73 - 70 * m.x74 - 70 * m.x75 - 70 * m.x76 - 70 * m.x77 - 1e+04 * m.b78 - 1e+04 * m.b79 - 1e+04 * m.b80 - 1e+04 * m.b81 - 1e+04 * m.b82 - 1e+04 * m.b83 - 1e+04 * m.b84 - 1e+04 * m.b85 - 1e+04 * m.b86 - 1e+04 * m.b87 + m.x89 == 0) m.e69 = Constraint(expr= -8 * m.x68 - 8 * m.x69 - 8 * m.x70 - 8 * m.x71 - 8 * m.x72 - 8 * m.x73 - 8 * m.x74 - 8 * m.x75 - 8 * m.x76 - 8 * m.x77 + m.x90 == 0)