# NLP written by GAMS Convert at 03/03/22 14:43:31 # # Equation counts # Total E G L N X C B # 81 0 6 75 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 55 55 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 312 12 300 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(6.21460809842219,8.41183267575841) , initialize=6.21460809842219) m.x2 = Var(within=Reals, bounds=(6.21460809842219,8.41183267575841) , initialize=6.21460809842219) m.x3 = Var(within=Reals, bounds=(6.21460809842219,8.41183267575841) , initialize=6.21460809842219) m.x4 = Var(within=Reals, bounds=(160,163.752806164), initialize=160) m.x5 = Var(within=Reals, bounds=(160,163.752806164), initialize=160) m.x6 = Var(within=Reals, bounds=(160,163.752806164), initialize=160) m.x7 = Var(within=Reals, bounds=(160,163.752806164), initialize=160) m.x8 = Var(within=Reals, bounds=(160,163.752806164), initialize=160) m.x9 = Var(within=Reals, bounds=(160,178.461227596), initialize=160) m.x10 = Var(within=Reals, bounds=(160,178.461227596), initialize=160) m.x11 = Var(within=Reals, bounds=(160,178.461227596), initialize=160) m.x12 = Var(within=Reals, bounds=(160,178.461227596), initialize=160) m.x13 = Var(within=Reals, bounds=(160,178.461227596), initialize=160) m.x14 = Var(within=Reals, bounds=(160,200), initialize=160) m.x15 = Var(within=Reals, bounds=(160,200), initialize=160) m.x16 = Var(within=Reals, bounds=(160,200), initialize=160) m.x17 = Var(within=Reals, bounds=(160,200), initialize=160) m.x18 = Var(within=Reals, bounds=(160,200), initialize=160) m.x19 = Var(within=Reals, bounds=(160,221.538772404), initialize=160) m.x20 = Var(within=Reals, bounds=(160,221.538772404), initialize=160) m.x21 = Var(within=Reals, bounds=(160,221.538772404), initialize=160) m.x22 = Var(within=Reals, bounds=(160,221.538772404), initialize=160) m.x23 = Var(within=Reals, bounds=(160,221.538772404), initialize=160) m.x24 = Var(within=Reals, bounds=(160,236.247193836), initialize=160) m.x25 = Var(within=Reals, bounds=(160,236.247193836), initialize=160) m.x26 = Var(within=Reals, bounds=(160,236.247193836), initialize=160) m.x27 = Var(within=Reals, bounds=(160,236.247193836), initialize=160) m.x28 = Var(within=Reals, bounds=(160,236.247193836), initialize=160) m.x29 = Var(within=Reals, bounds=(60,63.752806164), initialize=60) m.x30 = Var(within=Reals, bounds=(60,78.461227596), initialize=60) m.x31 = Var(within=Reals, bounds=(60,100), initialize=60) m.x32 = Var(within=Reals, bounds=(60,121.538772404), initialize=60) m.x33 = Var(within=Reals, bounds=(60,136.247193836), initialize=60) m.x34 = Var(within=Reals, bounds=(60,63.752806164), initialize=60) m.x35 = Var(within=Reals, bounds=(60,78.461227596), initialize=60) m.x36 = Var(within=Reals, bounds=(60,100), initialize=60) m.x37 = Var(within=Reals, bounds=(60,121.538772404), initialize=60) m.x38 = Var(within=Reals, bounds=(60,136.247193836), initialize=60) m.x39 = Var(within=Reals, bounds=(60,63.752806164), initialize=60) m.x40 = Var(within=Reals, bounds=(60,78.461227596), initialize=60) m.x41 = Var(within=Reals, bounds=(60,100), initialize=60) m.x42 = Var(within=Reals, bounds=(60,121.538772404), initialize=60) m.x43 = Var(within=Reals, bounds=(60,136.247193836), initialize=60) m.x44 = Var(within=Reals, bounds=(60,63.752806164), initialize=60) m.x45 = Var(within=Reals, bounds=(60,78.461227596), initialize=60) m.x46 = Var(within=Reals, bounds=(60,100), initialize=60) m.x47 = Var(within=Reals, bounds=(60,121.538772404), initialize=60) m.x48 = Var(within=Reals, bounds=(60,136.247193836), initialize=60) m.x49 = Var(within=Reals, bounds=(60,63.752806164), initialize=60) m.x50 = Var(within=Reals, bounds=(60,78.461227596), initialize=60) m.x51 = Var(within=Reals, bounds=(60,100), initialize=60) m.x52 = Var(within=Reals, bounds=(60,121.538772404), initialize=60) m.x53 = Var(within=Reals, bounds=(60,136.247193836), initialize=60) m.x54 = Var(within=Reals, bounds=(4.82831,7.1591), initialize=4.82831) m.x55 = Var(within=Reals, bounds=(4.42285,6.7071), initialize=4.42285) m.obj = Objective(sense=minimize, expr= 0.3 * (10 * exp(0.6 * m.x1) + 10 * exp( 0.6 * m.x2) + 10 * exp(0.6 * m.x3)) - 1.54711033913716e-06 * m.x4 - 0.000219040316990534 * m.x5 - 0.00264813118267794 * m.x6 - 0.000219040316990534 * m.x7 - 1.54711033913716e-06 * m.x8 - 0.000219040316990533 * m.x9 - 0.0310117896917886 * m.x10 - 0.374923157717238 * m.x11 - 0.0310117896917886 * m.x12 - 0.000219040316990532 * m.x13 - 0.00264813118267793 * m.x14 - 0.374923157717237 * m.x15 - 4.5327075795914 * m.x16 - 0.374923157717237 * m.x17 - 0.00264813118267791 * m.x18 - 0.000219040316990532 * m.x19 - 0.0310117896917884 * m.x20 - 0.374923157717236 * m.x21 - 0.0310117896917884 * m.x22 - 0.000219040316990531 * m.x23 - 1.54711033913713e-06 * m.x24 - 0.000219040316990529 * m.x25 - 0.00264813118267789 * m.x26 - 0.000219040316990529 * m.x27 - 1.54711033913712e-06 * m.x28 - 1.9690495225382e-06 * m.x29 - 0.000278778585260679 * m.x30 - 0.00337034877795374 * m.x31 - 0.000278778585260679 * m.x32 - 1.9690495225382e-06 * m.x33 - 0.000278778585260679 * m.x34 - 0.0394695505168218 * m.x35 - 0.477174928003758 * m.x36 - 0.0394695505168218 * m.x37 - 0.000278778585260677 * m.x38 - 0.00337034877795372 * m.x39 - 0.477174928003756 * m.x40 - 5.7689005558436 * m.x41 - 0.477174928003756 * m.x42 - 0.00337034877795371 * m.x43 - 0.000278778585260677 * m.x44 - 0.0394695505168216 * m.x45 - 0.477174928003755 * m.x46 - 0.0394695505168216 * m.x47 - 0.000278778585260676 * m.x48 - 1.96904952253816e-06 * m.x49 - 0.000278778585260674 * m.x50 - 0.00337034877795367 * m.x51 - 0.000278778585260674 * m.x52 - 1.96904952253816e-06 * m.x53) m.e1 = Constraint(expr= m.x1 - m.x54 >= 0.693147180559945) m.e2 = Constraint(expr= m.x2 - m.x54 >= 1.09861228866811) m.e3 = Constraint(expr= m.x3 - m.x54 >= 1.38629436111989) m.e4 = Constraint(expr= m.x1 - m.x55 >= 1.38629436111989) m.e5 = Constraint(expr= m.x2 - m.x55 >= 1.79175946922805) m.e6 = Constraint(expr= m.x3 - m.x55 >= 1.09861228866811) m.e7 = Constraint(expr= m.x4 * exp(2.07944154167984 - m.x54) + m.x29 * exp( 2.77258872223978 - m.x55) <= 8) m.e8 = Constraint(expr= m.x5 * exp(2.07944154167984 - m.x54) + m.x30 * exp( 2.77258872223978 - m.x55) <= 8) m.e9 = Constraint(expr= m.x6 * exp(2.07944154167984 - m.x54) + m.x31 * exp( 2.77258872223978 - m.x55) <= 8) m.e10 = Constraint(expr= m.x7 * exp(2.07944154167984 - m.x54) + m.x32 * exp( 2.77258872223978 - m.x55) <= 8) m.e11 = Constraint(expr= m.x8 * exp(2.07944154167984 - m.x54) + m.x33 * exp( 2.77258872223978 - m.x55) <= 8) m.e12 = Constraint(expr= m.x9 * exp(2.07944154167984 - m.x54) + m.x34 * exp( 2.77258872223978 - m.x55) <= 8) m.e13 = Constraint(expr= m.x10 * exp(2.07944154167984 - m.x54) + m.x35 * exp( 2.77258872223978 - m.x55) <= 8) m.e14 = Constraint(expr= m.x11 * exp(2.07944154167984 - m.x54) + m.x36 * exp( 2.77258872223978 - m.x55) <= 8) m.e15 = Constraint(expr= m.x12 * exp(2.07944154167984 - m.x54) + m.x37 * exp( 2.77258872223978 - m.x55) <= 8) m.e16 = Constraint(expr= m.x13 * exp(2.07944154167984 - m.x54) + m.x38 * exp( 2.77258872223978 - m.x55) <= 8) m.e17 = Constraint(expr= m.x14 * exp(2.07944154167984 - m.x54) + m.x39 * exp( 2.77258872223978 - m.x55) <= 8) m.e18 = Constraint(expr= m.x15 * exp(2.07944154167984 - m.x54) + m.x40 * exp( 2.77258872223978 - m.x55) <= 8) m.e19 = Constraint(expr= m.x16 * exp(2.07944154167984 - m.x54) + m.x41 * exp( 2.77258872223978 - m.x55) <= 8) m.e20 = Constraint(expr= m.x17 * exp(2.07944154167984 - m.x54) + m.x42 * exp( 2.77258872223978 - m.x55) <= 8) m.e21 = Constraint(expr= m.x18 * exp(2.07944154167984 - m.x54) + m.x43 * exp( 2.77258872223978 - m.x55) <= 8) m.e22 = Constraint(expr= m.x19 * exp(2.07944154167984 - m.x54) + m.x44 * exp( 2.77258872223978 - m.x55) <= 8) m.e23 = Constraint(expr= m.x20 * exp(2.07944154167984 - m.x54) + m.x45 * exp( 2.77258872223978 - m.x55) <= 8) m.e24 = Constraint(expr= m.x21 * exp(2.07944154167984 - m.x54) + m.x46 * exp( 2.77258872223978 - m.x55) <= 8) m.e25 = Constraint(expr= m.x22 * exp(2.07944154167984 - m.x54) + m.x47 * exp( 2.77258872223978 - m.x55) <= 8) m.e26 = Constraint(expr= m.x23 * exp(2.07944154167984 - m.x54) + m.x48 * exp( 2.77258872223978 - m.x55) <= 8) m.e27 = Constraint(expr= m.x24 * exp(2.07944154167984 - m.x54) + m.x49 * exp( 2.77258872223978 - m.x55) <= 8) m.e28 = Constraint(expr= m.x25 * exp(2.07944154167984 - m.x54) + m.x50 * exp( 2.77258872223978 - m.x55) <= 8) m.e29 = Constraint(expr= m.x26 * exp(2.07944154167984 - m.x54) + m.x51 * exp( 2.77258872223978 - m.x55) <= 8) m.e30 = Constraint(expr= m.x27 * exp(2.07944154167984 - m.x54) + m.x52 * exp( 2.77258872223978 - m.x55) <= 8) m.e31 = Constraint(expr= m.x28 * exp(2.07944154167984 - m.x54) + m.x53 * exp( 2.77258872223978 - m.x55) <= 8) m.e32 = Constraint(expr= m.x4 * exp(2.99573227355399 - m.x54) + m.x29 * exp( 1.38629436111989 - m.x55) <= 8) m.e33 = Constraint(expr= m.x5 * exp(2.99573227355399 - m.x54) + m.x30 * exp( 1.38629436111989 - m.x55) <= 8) m.e34 = Constraint(expr= m.x6 * exp(2.99573227355399 - m.x54) + m.x31 * exp( 1.38629436111989 - m.x55) <= 8) m.e35 = Constraint(expr= m.x7 * exp(2.99573227355399 - m.x54) + m.x32 * exp( 1.38629436111989 - m.x55) <= 8) m.e36 = Constraint(expr= m.x8 * exp(2.99573227355399 - m.x54) + m.x33 * exp( 1.38629436111989 - m.x55) <= 8) m.e37 = Constraint(expr= m.x9 * exp(2.99573227355399 - m.x54) + m.x34 * exp( 1.38629436111989 - m.x55) <= 8) m.e38 = Constraint(expr= m.x10 * exp(2.99573227355399 - m.x54) + m.x35 * exp( 1.38629436111989 - m.x55) <= 8) m.e39 = Constraint(expr= m.x11 * exp(2.99573227355399 - m.x54) + m.x36 * exp( 1.38629436111989 - m.x55) <= 8) m.e40 = Constraint(expr= m.x12 * exp(2.99573227355399 - m.x54) + m.x37 * exp( 1.38629436111989 - m.x55) <= 8) m.e41 = Constraint(expr= m.x13 * exp(2.99573227355399 - m.x54) + m.x38 * exp( 1.38629436111989 - m.x55) <= 8) m.e42 = Constraint(expr= m.x14 * exp(2.99573227355399 - m.x54) + m.x39 * exp( 1.38629436111989 - m.x55) <= 8) m.e43 = Constraint(expr= m.x15 * exp(2.99573227355399 - m.x54) + m.x40 * exp( 1.38629436111989 - m.x55) <= 8) m.e44 = Constraint(expr= m.x16 * exp(2.99573227355399 - m.x54) + m.x41 * exp( 1.38629436111989 - m.x55) <= 8) m.e45 = Constraint(expr= m.x17 * exp(2.99573227355399 - m.x54) + m.x42 * exp( 1.38629436111989 - m.x55) <= 8) m.e46 = Constraint(expr= m.x18 * exp(2.99573227355399 - m.x54) + m.x43 * exp( 1.38629436111989 - m.x55) <= 8) m.e47 = Constraint(expr= m.x19 * exp(2.99573227355399 - m.x54) + m.x44 * exp( 1.38629436111989 - m.x55) <= 8) m.e48 = Constraint(expr= m.x20 * exp(2.99573227355399 - m.x54) + m.x45 * exp( 1.38629436111989 - m.x55) <= 8) m.e49 = Constraint(expr= m.x21 * exp(2.99573227355399 - m.x54) + m.x46 * exp( 1.38629436111989 - m.x55) <= 8) m.e50 = Constraint(expr= m.x22 * exp(2.99573227355399 - m.x54) + m.x47 * exp( 1.38629436111989 - m.x55) <= 8) m.e51 = Constraint(expr= m.x23 * exp(2.99573227355399 - m.x54) + m.x48 * exp( 1.38629436111989 - m.x55) <= 8) m.e52 = Constraint(expr= m.x24 * exp(2.99573227355399 - m.x54) + m.x49 * exp( 1.38629436111989 - m.x55) <= 8) m.e53 = Constraint(expr= m.x25 * exp(2.99573227355399 - m.x54) + m.x50 * exp( 1.38629436111989 - m.x55) <= 8) m.e54 = Constraint(expr= m.x26 * exp(2.99573227355399 - m.x54) + m.x51 * exp( 1.38629436111989 - m.x55) <= 8) m.e55 = Constraint(expr= m.x27 * exp(2.99573227355399 - m.x54) + m.x52 * exp( 1.38629436111989 - m.x55) <= 8) m.e56 = Constraint(expr= m.x28 * exp(2.99573227355399 - m.x54) + m.x53 * exp( 1.38629436111989 - m.x55) <= 8) m.e57 = Constraint(expr= m.x4 * exp(2.07944154167984 - m.x54) + m.x29 * exp( 1.38629436111989 - m.x55) <= 8) m.e58 = Constraint(expr= m.x5 * exp(2.07944154167984 - m.x54) + m.x30 * exp( 1.38629436111989 - m.x55) <= 8) m.e59 = Constraint(expr= m.x6 * exp(2.07944154167984 - m.x54) + m.x31 * exp( 1.38629436111989 - m.x55) <= 8) m.e60 = Constraint(expr= m.x7 * exp(2.07944154167984 - m.x54) + m.x32 * exp( 1.38629436111989 - m.x55) <= 8) m.e61 = Constraint(expr= m.x8 * exp(2.07944154167984 - m.x54) + m.x33 * exp( 1.38629436111989 - m.x55) <= 8) m.e62 = Constraint(expr= m.x9 * exp(2.07944154167984 - m.x54) + m.x34 * exp( 1.38629436111989 - m.x55) <= 8) m.e63 = Constraint(expr= m.x10 * exp(2.07944154167984 - m.x54) + m.x35 * exp( 1.38629436111989 - m.x55) <= 8) m.e64 = Constraint(expr= m.x11 * exp(2.07944154167984 - m.x54) + m.x36 * exp( 1.38629436111989 - m.x55) <= 8) m.e65 = Constraint(expr= m.x12 * exp(2.07944154167984 - m.x54) + m.x37 * exp( 1.38629436111989 - m.x55) <= 8) m.e66 = Constraint(expr= m.x13 * exp(2.07944154167984 - m.x54) + m.x38 * exp( 1.38629436111989 - m.x55) <= 8) m.e67 = Constraint(expr= m.x14 * exp(2.07944154167984 - m.x54) + m.x39 * exp( 1.38629436111989 - m.x55) <= 8) m.e68 = Constraint(expr= m.x15 * exp(2.07944154167984 - m.x54) + m.x40 * exp( 1.38629436111989 - m.x55) <= 8) m.e69 = Constraint(expr= m.x16 * exp(2.07944154167984 - m.x54) + m.x41 * exp( 1.38629436111989 - m.x55) <= 8) m.e70 = Constraint(expr= m.x17 * exp(2.07944154167984 - m.x54) + m.x42 * exp( 1.38629436111989 - m.x55) <= 8) m.e71 = Constraint(expr= m.x18 * exp(2.07944154167984 - m.x54) + m.x43 * exp( 1.38629436111989 - m.x55) <= 8) m.e72 = Constraint(expr= m.x19 * exp(2.07944154167984 - m.x54) + m.x44 * exp( 1.38629436111989 - m.x55) <= 8) m.e73 = Constraint(expr= m.x20 * exp(2.07944154167984 - m.x54) + m.x45 * exp( 1.38629436111989 - m.x55) <= 8) m.e74 = Constraint(expr= m.x21 * exp(2.07944154167984 - m.x54) + m.x46 * exp( 1.38629436111989 - m.x55) <= 8) m.e75 = Constraint(expr= m.x22 * exp(2.07944154167984 - m.x54) + m.x47 * exp( 1.38629436111989 - m.x55) <= 8) m.e76 = Constraint(expr= m.x23 * exp(2.07944154167984 - m.x54) + m.x48 * exp( 1.38629436111989 - m.x55) <= 8) m.e77 = Constraint(expr= m.x24 * exp(2.07944154167984 - m.x54) + m.x49 * exp( 1.38629436111989 - m.x55) <= 8) m.e78 = Constraint(expr= m.x25 * exp(2.07944154167984 - m.x54) + m.x50 * exp( 1.38629436111989 - m.x55) <= 8) m.e79 = Constraint(expr= m.x26 * exp(2.07944154167984 - m.x54) + m.x51 * exp( 1.38629436111989 - m.x55) <= 8) m.e80 = Constraint(expr= m.x27 * exp(2.07944154167984 - m.x54) + m.x52 * exp( 1.38629436111989 - m.x55) <= 8) m.e81 = Constraint(expr= m.x28 * exp(2.07944154167984 - m.x54) + m.x53 * exp( 1.38629436111989 - m.x55) <= 8)