# NLP written by GAMS Convert at 02/17/22 17:19:51 # # Equation counts # Total E G L N X C B # 112 41 41 30 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 78 78 0 0 0 0 0 0 # FX 5 # # Nonzero counts # Total const NL # 369 325 44 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(12.735,12.735), initialize=12.735) m.x2 = Var(within=Reals, bounds=(0,140), initialize=0) m.x3 = Var(within=Reals, bounds=(0,140), initialize=0) m.x4 = Var(within=Reals, bounds=(0,140), initialize=0) m.x5 = Var(within=Reals, bounds=(0,140), initialize=0) m.x6 = Var(within=Reals, bounds=(0,140), initialize=0) m.x7 = Var(within=Reals, bounds=(0,140), initialize=0) m.x8 = Var(within=Reals, bounds=(0,140), initialize=0) m.x9 = Var(within=Reals, bounds=(0,140), initialize=0) m.x10 = Var(within=Reals, bounds=(0,140), initialize=0) m.x11 = Var(within=Reals, bounds=(0,140), initialize=0) m.x12 = Var(within=Reals, bounds=(0,140), initialize=0) m.x13 = Var(within=Reals, bounds=(0,140), initialize=0) m.x14 = Var(within=Reals, bounds=(0,140), initialize=0) m.x15 = Var(within=Reals, bounds=(0,140), initialize=0) m.x16 = Var(within=Reals, bounds=(0,140), initialize=0) m.x17 = Var(within=Reals, bounds=(0,140), initialize=0) m.x18 = Var(within=Reals, bounds=(0,140), initialize=0) m.x19 = Var(within=Reals, bounds=(0,140), initialize=0) m.x20 = Var(within=Reals, bounds=(0,140), initialize=0) m.x21 = Var(within=Reals, bounds=(0,140), initialize=0) m.x22 = Var(within=Reals, bounds=(0,140), initialize=0) m.x23 = Var(within=Reals, bounds=(0,140), initialize=0) m.x24 = Var(within=Reals, bounds=(0,140), initialize=0) m.x25 = Var(within=Reals, bounds=(0,140), initialize=0) m.x26 = Var(within=Reals, bounds=(0,140), initialize=0) m.x27 = Var(within=Reals, bounds=(0,140), initialize=0) m.x28 = Var(within=Reals, bounds=(0,140), initialize=0) m.x29 = Var(within=Reals, bounds=(0,140), initialize=0) m.x30 = Var(within=Reals, bounds=(0,140), initialize=0) m.x31 = Var(within=Reals, bounds=(0,140), initialize=0) m.x32 = Var(within=Reals, bounds=(0,140), initialize=0) m.x33 = Var(within=Reals, bounds=(0,140), initialize=0) m.x34 = Var(within=Reals, bounds=(0.1,0.1), initialize=0.1) m.x35 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x36 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x37 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x38 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x39 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x40 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x41 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x42 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x43 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x44 = Var(within=Reals, bounds=(0.1,1e+04), initialize=0.1) m.x45 = Var(within=Reals, bounds=(0.2,0.2), initialize=0.2) m.x46 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x47 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x48 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x49 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x50 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x51 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x52 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x53 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x54 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x55 = Var(within=Reals, bounds=(0.2,1e+04), initialize=0.2) m.x56 = Var(within=Reals, bounds=(0.01,0.01), initialize=0.01) m.x57 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x58 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x59 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x60 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x61 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x62 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x63 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x64 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x65 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x66 = Var(within=Reals, bounds=(0.01,1e+04), initialize=0.01) m.x67 = Var(within=Reals, bounds=(0,0), initialize=0) m.x68 = Var(within=Reals, bounds=(0,400), initialize=0) m.x69 = Var(within=Reals, bounds=(0,400), initialize=0) m.x70 = Var(within=Reals, bounds=(0,400), initialize=0) m.x71 = Var(within=Reals, bounds=(0,400), initialize=0) m.x72 = Var(within=Reals, bounds=(0,400), initialize=0) m.x73 = Var(within=Reals, bounds=(0,400), initialize=0) m.x74 = Var(within=Reals, bounds=(0,400), initialize=0) m.x75 = Var(within=Reals, bounds=(0,400), initialize=0) m.x76 = Var(within=Reals, bounds=(0,400), initialize=0) m.x77 = Var(within=Reals, bounds=(0,400), initialize=0) m.x78 = Var(within=Reals, bounds=(0,3e+04), initialize=0) m.obj = Objective(sense=minimize, expr= m.x78) m.e1 = Constraint(expr= m.x1 + m.x12 + m.x23 >= 12.735) m.e2 = Constraint(expr= m.x2 + m.x13 + m.x24 >= 18.523) m.e3 = Constraint(expr= m.x3 + m.x14 + m.x25 >= 24.42) m.e4 = Constraint(expr= m.x4 + m.x15 + m.x26 >= 30.729) m.e5 = Constraint(expr= m.x5 + m.x16 + m.x27 >= 41.698) m.e6 = Constraint(expr= m.x6 + m.x17 + m.x28 >= 52.802) m.e7 = Constraint(expr= m.x7 + m.x18 + m.x29 >= 65.155) m.e8 = Constraint(expr= m.x8 + m.x19 + m.x30 >= 81.675) m.e9 = Constraint(expr= m.x9 + m.x20 + m.x31 >= 98.667) m.e10 = Constraint(expr= m.x10 + m.x21 + m.x32 >= 115.501) m.e11 = Constraint(expr= m.x11 + m.x22 + m.x33 >= 133.561) m.e12 = Constraint(expr= -0.744093914896725 * m.x1 + m.x2 >= 0) m.e13 = Constraint(expr= -0.744093914896725 * m.x2 + m.x3 >= 0) m.e14 = Constraint(expr= -0.744093914896725 * m.x3 + m.x4 >= 0) m.e15 = Constraint(expr= -0.744093914896725 * m.x4 + m.x5 >= 0) m.e16 = Constraint(expr= -0.744093914896725 * m.x5 + m.x6 >= 0) m.e17 = Constraint(expr= -0.744093914896725 * m.x6 + m.x7 >= 0) m.e18 = Constraint(expr= -0.744093914896725 * m.x7 + m.x8 >= 0) m.e19 = Constraint(expr= -0.744093914896725 * m.x8 + m.x9 >= 0) m.e20 = Constraint(expr= -0.744093914896725 * m.x9 + m.x10 >= 0) m.e21 = Constraint(expr= -0.744093914896725 * m.x10 + m.x11 >= 0) m.e22 = Constraint(expr= -0.744093914896725 * m.x12 + m.x13 >= 0) m.e23 = Constraint(expr= -0.744093914896725 * m.x13 + m.x14 >= 0) m.e24 = Constraint(expr= -0.744093914896725 * m.x14 + m.x15 >= 0) m.e25 = Constraint(expr= -0.744093914896725 * m.x15 + m.x16 >= 0) m.e26 = Constraint(expr= -0.744093914896725 * m.x16 + m.x17 >= 0) m.e27 = Constraint(expr= -0.744093914896725 * m.x17 + m.x18 >= 0) m.e28 = Constraint(expr= -0.744093914896725 * m.x18 + m.x19 >= 0) m.e29 = Constraint(expr= -0.744093914896725 * m.x19 + m.x20 >= 0) m.e30 = Constraint(expr= -0.744093914896725 * m.x20 + m.x21 >= 0) m.e31 = Constraint(expr= -0.744093914896725 * m.x21 + m.x22 >= 0) m.e32 = Constraint(expr= -0.744093914896725 * m.x23 + m.x24 >= 0) m.e33 = Constraint(expr= -0.744093914896725 * m.x24 + m.x25 >= 0) m.e34 = Constraint(expr= -0.744093914896725 * m.x25 + m.x26 >= 0) m.e35 = Constraint(expr= -0.744093914896725 * m.x26 + m.x27 >= 0) m.e36 = Constraint(expr= -0.744093914896725 * m.x27 + m.x28 >= 0) m.e37 = Constraint(expr= -0.744093914896725 * m.x28 + m.x29 >= 0) m.e38 = Constraint(expr= -0.744093914896725 * m.x29 + m.x30 >= 0) m.e39 = Constraint(expr= -0.744093914896725 * m.x30 + m.x31 >= 0) m.e40 = Constraint(expr= -0.744093914896725 * m.x31 + m.x32 >= 0) m.e41 = Constraint(expr= -0.744093914896725 * m.x32 + m.x33 >= 0) m.e42 = Constraint(expr= -4 * m.x1 + m.x2 <= 0.18523) m.e43 = Constraint(expr= -4 * m.x2 + m.x3 <= 0.2442) m.e44 = Constraint(expr= -4 * m.x3 + m.x4 <= 0.30729) m.e45 = Constraint(expr= -4 * m.x4 + m.x5 <= 0.41698) m.e46 = Constraint(expr= -4 * m.x5 + m.x6 <= 0.52802) m.e47 = Constraint(expr= -4 * m.x6 + m.x7 <= 0.65155) m.e48 = Constraint(expr= -4 * m.x7 + m.x8 <= 0.81675) m.e49 = Constraint(expr= -4 * m.x8 + m.x9 <= 0.98667) m.e50 = Constraint(expr= -4 * m.x9 + m.x10 <= 1.15501) m.e51 = Constraint(expr= -4 * m.x10 + m.x11 <= 1.33561) m.e52 = Constraint(expr= -4 * m.x12 + m.x13 <= 0.18523) m.e53 = Constraint(expr= -4 * m.x13 + m.x14 <= 0.2442) m.e54 = Constraint(expr= -4 * m.x14 + m.x15 <= 0.30729) m.e55 = Constraint(expr= -4 * m.x15 + m.x16 <= 0.41698) m.e56 = Constraint(expr= -4 * m.x16 + m.x17 <= 0.52802) m.e57 = Constraint(expr= -4 * m.x17 + m.x18 <= 0.65155) m.e58 = Constraint(expr= -4 * m.x18 + m.x19 <= 0.81675) m.e59 = Constraint(expr= -4 * m.x19 + m.x20 <= 0.98667) m.e60 = Constraint(expr= -4 * m.x20 + m.x21 <= 1.15501) m.e61 = Constraint(expr= -4 * m.x21 + m.x22 <= 1.33561) m.e62 = Constraint(expr= -4 * m.x23 + m.x24 <= 0.18523) m.e63 = Constraint(expr= -4 * m.x24 + m.x25 <= 0.2442) m.e64 = Constraint(expr= -4 * m.x25 + m.x26 <= 0.30729) m.e65 = Constraint(expr= -4 * m.x26 + m.x27 <= 0.41698) m.e66 = Constraint(expr= -4 * m.x27 + m.x28 <= 0.52802) m.e67 = Constraint(expr= -4 * m.x28 + m.x29 <= 0.65155) m.e68 = Constraint(expr= -4 * m.x29 + m.x30 <= 0.81675) m.e69 = Constraint(expr= -4 * m.x30 + m.x31 <= 0.98667) m.e70 = Constraint(expr= -4 * m.x31 + m.x32 <= 1.15501) m.e71 = Constraint(expr= -4 * m.x32 + m.x33 <= 1.33561) m.e72 = Constraint(expr= -5 * m.x1 - 5 * m.x2 - m.x34 + m.x35 == 0) m.e73 = Constraint(expr= -5 * m.x2 - 5 * m.x3 - m.x35 + m.x36 == 0) m.e74 = Constraint(expr= -5 * m.x3 - 5 * m.x4 - m.x36 + m.x37 == 0) m.e75 = Constraint(expr= -5 * m.x4 - 5 * m.x5 - m.x37 + m.x38 == 0) m.e76 = Constraint(expr= -5 * m.x5 - 5 * m.x6 - m.x38 + m.x39 == 0) m.e77 = Constraint(expr= -5 * m.x6 - 5 * m.x7 - m.x39 + m.x40 == 0) m.e78 = Constraint(expr= -5 * m.x7 - 5 * m.x8 - m.x40 + m.x41 == 0) m.e79 = Constraint(expr= -5 * m.x8 - 5 * m.x9 - m.x41 + m.x42 == 0) m.e80 = Constraint(expr= -5 * m.x9 - 5 * m.x10 - m.x42 + m.x43 == 0) m.e81 = Constraint(expr= -5 * m.x10 - 5 * m.x11 - m.x43 + m.x44 == 0) m.e82 = Constraint(expr= -5 * m.x12 - 5 * m.x13 - m.x45 + m.x46 == 0) m.e83 = Constraint(expr= -5 * m.x13 - 5 * m.x14 - m.x46 + m.x47 == 0) m.e84 = Constraint(expr= -5 * m.x14 - 5 * m.x15 - m.x47 + m.x48 == 0) m.e85 = Constraint(expr= -5 * m.x15 - 5 * m.x16 - m.x48 + m.x49 == 0) m.e86 = Constraint(expr= -5 * m.x16 - 5 * m.x17 - m.x49 + m.x50 == 0) m.e87 = Constraint(expr= -5 * m.x17 - 5 * m.x18 - m.x50 + m.x51 == 0) m.e88 = Constraint(expr= -5 * m.x18 - 5 * m.x19 - m.x51 + m.x52 == 0) m.e89 = Constraint(expr= -5 * m.x19 - 5 * m.x20 - m.x52 + m.x53 == 0) m.e90 = Constraint(expr= -5 * m.x20 - 5 * m.x21 - m.x53 + m.x54 == 0) m.e91 = Constraint(expr= -5 * m.x21 - 5 * m.x22 - m.x54 + m.x55 == 0) m.e92 = Constraint(expr= -5 * m.x23 - 5 * m.x24 - m.x56 + m.x57 == 0) m.e93 = Constraint(expr= -5 * m.x24 - 5 * m.x25 - m.x57 + m.x58 == 0) m.e94 = Constraint(expr= -5 * m.x25 - 5 * m.x26 - m.x58 + m.x59 == 0) m.e95 = Constraint(expr= -5 * m.x26 - 5 * m.x27 - m.x59 + m.x60 == 0) m.e96 = Constraint(expr= -5 * m.x27 - 5 * m.x28 - m.x60 + m.x61 == 0) m.e97 = Constraint(expr= -5 * m.x28 - 5 * m.x29 - m.x61 + m.x62 == 0) m.e98 = Constraint(expr= -5 * m.x29 - 5 * m.x30 - m.x62 + m.x63 == 0) m.e99 = Constraint(expr= -5 * m.x30 - 5 * m.x31 - m.x63 + m.x64 == 0) m.e100 = Constraint(expr= -5 * m.x31 - 5 * m.x32 - m.x64 + m.x65 == 0) m.e101 = Constraint(expr= -5 * m.x32 - 5 * m.x33 - m.x65 + m.x66 == 0) m.e102 = Constraint(expr= -0.850412249705536 * m.x1 - 0.850412249705536 * m.x2 - m.x67 + m.x68 == 0) m.e103 = Constraint(expr= -0.850412249705536 * m.x2 - 0.850412249705536 * m.x3 - m.x68 + m.x69 == 0) m.e104 = Constraint(expr= -0.850412249705536 * m.x3 - 0.850412249705536 * m.x4 - m.x69 + m.x70 == 0) m.e105 = Constraint(expr= -0.850412249705536 * m.x4 - 0.850412249705536 * m.x5 - m.x70 + m.x71 == 0) m.e106 = Constraint(expr= -0.850412249705536 * m.x5 - 0.850412249705536 * m.x6 - m.x71 + m.x72 == 0) m.e107 = Constraint(expr= -0.850412249705536 * m.x6 - 0.850412249705536 * m.x7 - m.x72 + m.x73 == 0) m.e108 = Constraint(expr= -0.850412249705536 * m.x7 - 0.850412249705536 * m.x8 - m.x73 + m.x74 == 0) m.e109 = Constraint(expr= -0.850412249705536 * m.x8 - 0.850412249705536 * m.x9 - m.x74 + m.x75 == 0) m.e110 = Constraint(expr= -0.850412249705536 * m.x9 - 0.850412249705536 * m.x10 - m.x75 + m.x76 == 0) m.e111 = Constraint(expr= -0.850412249705536 * m.x10 - 0.850412249705536 * m.x11 - m.x76 + m.x77 == 0) m.e112 = Constraint(expr= -15 * (5 * m.x45)**(-0.1) * m.x12 - 130 * (100 * m.x56)**(-0.3) * m.x23 - 30 * m.x12 - 30 * m.x23 - 0.613913253540759 * (15 * (5 * m.x46)**(-0.1) * m.x13 + 130 * (100 * m.x57)**(-0.3) * m.x24 + 30 * m.x13 + 30 * m.x24) - 0.376889482873 * (15 * (5 * m.x47)**(-0.1) * m.x14 + 130 * (100 * m.x58)**(-0.3) * m.x25 + 30 * m.x14 + 30 * m.x25) - 0.231377448655858 * (15 * (5 * m.x48)**(-0.1) * m.x15 + 130 * (100 * m.x59) **(-0.3) * m.x26 + 30 * m.x15 + 30 * m.x26) - 0.142045682300278 * (15 * (5 * m.x49)**(-0.1) * m.x16 + 130 * (100 * m.x60)**(-0.3) * m.x27 + 30 * m.x16 + 30 * m.x27) - 0.0872037269723804 * (15 * (5 * m.x50)**(-0.1) * m.x17 + 130 * (100 * m.x61)**(-0.3) * m.x28 + 30 * m.x17 + 30 * m.x28) - 0.0535355237464941 * (15 * (5 * m.x51)**(-0.1) * m.x18 + 130 * (100 * m.x62) **(-0.3) * m.x29 + 30 * m.x18 + 30 * m.x29) - 0.0328661675632188 * (15 * (5 * m.x52)**(-0.1) * m.x19 + 130 * (100 * m.x63)**(-0.3) * m.x30 + 30 * m.x19 + 30 * m.x30) - 0.0201769758601514 * (15 * (5 * m.x53)**(-0.1) * m.x20 + 130 * (100 * m.x64)**(-0.3) * m.x31 + 30 * m.x20 + 30 * m.x31) - 0.0123869128969189 * (15 * (5 * m.x54)**(-0.1) * m.x21 + 130 * (100 * m.x65) **(-0.3) * m.x32 + 30 * m.x21 + 30 * m.x32) - 0.00760448999787347 * (15 * ( 5 * m.x55)**(-0.1) * m.x22 + 130 * (100 * m.x66)**(-0.3) * m.x33 + 30 * m.x22 + 30 * m.x33) - 40 * m.x1 - 24.5565301416304 * m.x2 - 15.07557931492 * m.x3 - 9.25509794623431 * m.x4 - 5.6818272920111 * m.x5 - 3.48814907889522 * m.x6 - 2.14142094985976 * m.x7 - 1.31464670252875 * m.x8 - 0.807079034406055 * m.x9 - 0.495476515876756 * m.x10 - 0.304179599914939 * m.x11 + m.x78 == 0)