# NLP written by GAMS Convert at 02/17/22 17:21:45 # # Equation counts # Total E G L N X C B # 96 96 0 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 116 116 0 0 0 0 0 0 # FX 4 # # Nonzero counts # Total const NL # 320 240 80 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,None), initialize=14) m.x2 = Var(within=Reals, bounds=(0,None), initialize=14) m.x3 = Var(within=Reals, bounds=(0,None), initialize=14) m.x4 = Var(within=Reals, bounds=(0,None), initialize=14) m.x5 = Var(within=Reals, bounds=(0,None), initialize=14) m.x6 = Var(within=Reals, bounds=(0,None), initialize=14) m.x7 = Var(within=Reals, bounds=(0,None), initialize=14) m.x8 = Var(within=Reals, bounds=(0,None), initialize=14) m.x9 = Var(within=Reals, bounds=(0,None), initialize=14) m.x10 = Var(within=Reals, bounds=(0,None), initialize=14) m.x11 = Var(within=Reals, bounds=(0,None), initialize=14) m.x12 = Var(within=Reals, bounds=(0,None), initialize=14) m.x13 = Var(within=Reals, bounds=(0,None), initialize=14) m.x14 = Var(within=Reals, bounds=(0,None), initialize=14) m.x15 = Var(within=Reals, bounds=(0,None), initialize=14) m.x16 = Var(within=Reals, bounds=(0,None), initialize=14) m.x17 = Var(within=Reals, bounds=(18,18), initialize=18) m.x18 = Var(within=Reals, bounds=(0,None), initialize=18) m.x19 = Var(within=Reals, bounds=(0,None), initialize=18) m.x20 = Var(within=Reals, bounds=(0,None), initialize=18) m.x21 = Var(within=Reals, bounds=(0,None), initialize=18) m.x22 = Var(within=Reals, bounds=(0,None), initialize=18) m.x23 = Var(within=Reals, bounds=(0,None), initialize=18) m.x24 = Var(within=Reals, bounds=(0,None), initialize=18) m.x25 = Var(within=Reals, bounds=(0,None), initialize=18) m.x26 = Var(within=Reals, bounds=(0,None), initialize=18) m.x27 = Var(within=Reals, bounds=(0,None), initialize=18) m.x28 = Var(within=Reals, bounds=(0,None), initialize=18) m.x29 = Var(within=Reals, bounds=(0,None), initialize=18) m.x30 = Var(within=Reals, bounds=(0,None), initialize=18) m.x31 = Var(within=Reals, bounds=(0,None), initialize=18) m.x32 = Var(within=Reals, bounds=(0,None), initialize=18) m.x33 = Var(within=Reals, bounds=(0,None), initialize=18) m.x34 = Var(within=Reals, bounds=(6.5,6.5), initialize=6.5) m.x35 = Var(within=Reals, bounds=(0,None), initialize=7) m.x36 = Var(within=Reals, bounds=(0,None), initialize=7) m.x37 = Var(within=Reals, bounds=(0,None), initialize=7) m.x38 = Var(within=Reals, bounds=(0,None), initialize=7) m.x39 = Var(within=Reals, bounds=(0,None), initialize=7) m.x40 = Var(within=Reals, bounds=(0,None), initialize=7) m.x41 = Var(within=Reals, bounds=(0,None), initialize=7) m.x42 = Var(within=Reals, bounds=(0,None), initialize=7) m.x43 = Var(within=Reals, bounds=(0,None), initialize=7) m.x44 = Var(within=Reals, bounds=(0,None), initialize=7) m.x45 = Var(within=Reals, bounds=(0,None), initialize=7) m.x46 = Var(within=Reals, bounds=(0,None), initialize=7) m.x47 = Var(within=Reals, bounds=(0,None), initialize=7) m.x48 = Var(within=Reals, bounds=(0,None), initialize=7) m.x49 = Var(within=Reals, bounds=(0,None), initialize=7) m.x50 = Var(within=Reals, bounds=(0,None), initialize=7) m.x51 = Var(within=Reals, bounds=(0,0), initialize=0) m.x52 = Var(within=Reals, bounds=(0,None), initialize=7) m.x53 = Var(within=Reals, bounds=(0,None), initialize=14) m.x54 = Var(within=Reals, bounds=(0,None), initialize=21) m.x55 = Var(within=Reals, bounds=(0,None), initialize=28) m.x56 = Var(within=Reals, bounds=(0,None), initialize=35) m.x57 = Var(within=Reals, bounds=(0,None), initialize=42) m.x58 = Var(within=Reals, bounds=(0,None), initialize=49) m.x59 = Var(within=Reals, bounds=(0,None), initialize=56) m.x60 = Var(within=Reals, bounds=(0,None), initialize=63) m.x61 = Var(within=Reals, bounds=(0,None), initialize=70) m.x62 = Var(within=Reals, bounds=(0,None), initialize=77) m.x63 = Var(within=Reals, bounds=(0,None), initialize=84) m.x64 = Var(within=Reals, bounds=(0,None), initialize=91) m.x65 = Var(within=Reals, bounds=(0,None), initialize=98) m.x66 = Var(within=Reals, bounds=(0,None), initialize=105) m.x67 = Var(within=Reals, bounds=(0,None), initialize=112) m.x68 = Var(within=Reals, bounds=(0,None), initialize=11) m.x69 = Var(within=Reals, bounds=(0,None), initialize=11) m.x70 = Var(within=Reals, bounds=(0,None), initialize=11) m.x71 = Var(within=Reals, bounds=(0,None), initialize=11) m.x72 = Var(within=Reals, bounds=(0,None), initialize=11) m.x73 = Var(within=Reals, bounds=(0,None), initialize=11) m.x74 = Var(within=Reals, bounds=(0,None), initialize=11) m.x75 = Var(within=Reals, bounds=(0,None), initialize=11) m.x76 = Var(within=Reals, bounds=(0,None), initialize=11) m.x77 = Var(within=Reals, bounds=(0,None), initialize=11) m.x78 = Var(within=Reals, bounds=(0,None), initialize=11) m.x79 = Var(within=Reals, bounds=(0,None), initialize=11) m.x80 = Var(within=Reals, bounds=(0,None), initialize=11) m.x81 = Var(within=Reals, bounds=(0,None), initialize=11) m.x82 = Var(within=Reals, bounds=(0,None), initialize=11) m.x83 = Var(within=Reals, bounds=(0,None), initialize=11) m.x84 = Var(within=Reals, bounds=(500,500), initialize=500) m.x85 = Var(within=Reals, bounds=(0,None), initialize=489) m.x86 = Var(within=Reals, bounds=(0,None), initialize=478) m.x87 = Var(within=Reals, bounds=(0,None), initialize=467) m.x88 = Var(within=Reals, bounds=(0,None), initialize=456) m.x89 = Var(within=Reals, bounds=(0,None), initialize=445) m.x90 = Var(within=Reals, bounds=(0,None), initialize=434) m.x91 = Var(within=Reals, bounds=(0,None), initialize=423) m.x92 = Var(within=Reals, bounds=(0,None), initialize=412) m.x93 = Var(within=Reals, bounds=(0,None), initialize=401) m.x94 = Var(within=Reals, bounds=(0,None), initialize=390) m.x95 = Var(within=Reals, bounds=(0,None), initialize=379) m.x96 = Var(within=Reals, bounds=(0,None), initialize=368) m.x97 = Var(within=Reals, bounds=(0,None), initialize=357) m.x98 = Var(within=Reals, bounds=(0,None), initialize=346) m.x99 = Var(within=Reals, bounds=(0,None), initialize=335) m.x100 = Var(within=Reals, bounds=(0,None), initialize=324) m.x101 = Var(within=Reals, bounds=(None,None), initialize=0) m.x102 = Var(within=Reals, bounds=(None,None), initialize=0) m.x103 = Var(within=Reals, bounds=(None,None), initialize=0) m.x104 = Var(within=Reals, bounds=(None,None), initialize=0) m.x105 = Var(within=Reals, bounds=(None,None), initialize=0) m.x106 = Var(within=Reals, bounds=(None,None), initialize=0) m.x107 = Var(within=Reals, bounds=(None,None), initialize=0) m.x108 = Var(within=Reals, bounds=(None,None), initialize=0) m.x109 = Var(within=Reals, bounds=(None,None), initialize=0) m.x110 = Var(within=Reals, bounds=(None,None), initialize=0) m.x111 = Var(within=Reals, bounds=(None,None), initialize=0) m.x112 = Var(within=Reals, bounds=(None,None), initialize=0) m.x113 = Var(within=Reals, bounds=(None,None), initialize=0) m.x114 = Var(within=Reals, bounds=(None,None), initialize=0) m.x115 = Var(within=Reals, bounds=(None,None), initialize=0) m.x116 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= -m.x101 - 0.952380952380952 * m.x102 - 0.90702947845805 * m.x103 - 0.863837598531476 * m.x104 - 0.822702474791882 * m.x105 - 0.783526166468459 * m.x106 - 0.746215396636628 * m.x107 - 0.710681330130121 * m.x108 - 0.676839362028687 * m.x109 - 0.644608916217797 * m.x110 - 0.613913253540759 * m.x111 - 0.584679289086437 * m.x112 - 0.556837418177559 * m.x113 - 0.530321350645295 * m.x114 - 0.505067952995519 * m.x115 - 0.48101709809097 * m.x116) m.e1 = Constraint(expr= 0.13 * m.x1 - 0.87 * m.x17 + m.x18 == 3.3) m.e2 = Constraint(expr= 0.13 * m.x2 - 0.87 * m.x18 + m.x19 == 3.3345) m.e3 = Constraint(expr= 0.13 * m.x3 - 0.87 * m.x19 + m.x20 == 3.3695175) m.e4 = Constraint(expr= 0.13 * m.x4 - 0.87 * m.x20 + m.x21 == 3.4050602625) m.e5 = Constraint(expr= 0.13 * m.x5 - 0.87 * m.x21 + m.x22 == 3.4411361664375) m.e6 = Constraint(expr= 0.13 * m.x6 - 0.87 * m.x22 + m.x23 == 3.47775320893406) m.e7 = Constraint(expr= 0.13 * m.x7 - 0.87 * m.x23 + m.x24 == 3.51491950706807) m.e8 = Constraint(expr= 0.13 * m.x8 - 0.87 * m.x24 + m.x25 == 3.55264329967409) m.e9 = Constraint(expr= 0.13 * m.x9 - 0.87 * m.x25 + m.x26 == 3.5909329491692) m.e10 = Constraint(expr= 0.13 * m.x10 - 0.87 * m.x26 + m.x27 == 3.62979694340674) m.e11 = Constraint(expr= 0.13 * m.x11 - 0.87 * m.x27 + m.x28 == 3.66924389755784) m.e12 = Constraint(expr= 0.13 * m.x12 - 0.87 * m.x28 + m.x29 == 3.70928255602121) m.e13 = Constraint(expr= 0.13 * m.x13 - 0.87 * m.x29 + m.x30 == 3.74992179436153) m.e14 = Constraint(expr= 0.13 * m.x14 - 0.87 * m.x30 + m.x31 == 3.79117062127695) m.e15 = Constraint(expr= 0.13 * m.x15 - 0.87 * m.x31 + m.x32 == 3.8330381805961) m.e16 = Constraint(expr= 0.13 * m.x16 - 0.87 * m.x32 + m.x33 == 3.87553375330505) m.e17 = Constraint(expr= -1.02**(-0.142857142857143 * m.x52) * (1.1 + 0.1 * m.x1) - 0.75 * m.x34 + m.x35 == 0) m.e18 = Constraint(expr= -1.02**(-0.142857142857143 * m.x53) * (1.1 + 0.1 * m.x2) - 0.75 * m.x35 + m.x36 == 0) m.e19 = Constraint(expr= -1.02**(-0.142857142857143 * m.x54) * (1.1 + 0.1 * m.x3) - 0.75 * m.x36 + m.x37 == 0) m.e20 = Constraint(expr= -1.02**(-0.142857142857143 * m.x55) * (1.1 + 0.1 * m.x4) - 0.75 * m.x37 + m.x38 == 0) m.e21 = Constraint(expr= -1.02**(-0.142857142857143 * m.x56) * (1.1 + 0.1 * m.x5) - 0.75 * m.x38 + m.x39 == 0) m.e22 = Constraint(expr= -1.02**(-0.142857142857143 * m.x57) * (1.1 + 0.1 * m.x6) - 0.75 * m.x39 + m.x40 == 0) m.e23 = Constraint(expr= -1.02**(-0.142857142857143 * m.x58) * (1.1 + 0.1 * m.x7) - 0.75 * m.x40 + m.x41 == 0) m.e24 = Constraint(expr= -1.02**(-0.142857142857143 * m.x59) * (1.1 + 0.1 * m.x8) - 0.75 * m.x41 + m.x42 == 0) m.e25 = Constraint(expr= -1.02**(-0.142857142857143 * m.x60) * (1.1 + 0.1 * m.x9) - 0.75 * m.x42 + m.x43 == 0) m.e26 = Constraint(expr= -1.02**(-0.142857142857143 * m.x61) * (1.1 + 0.1 * m.x10) - 0.75 * m.x43 + m.x44 == 0) m.e27 = Constraint(expr= -1.02**(-0.142857142857143 * m.x62) * (1.1 + 0.1 * m.x11) - 0.75 * m.x44 + m.x45 == 0) m.e28 = Constraint(expr= -1.02**(-0.142857142857143 * m.x63) * (1.1 + 0.1 * m.x12) - 0.75 * m.x45 + m.x46 == 0) m.e29 = Constraint(expr= -1.02**(-0.142857142857143 * m.x64) * (1.1 + 0.1 * m.x13) - 0.75 * m.x46 + m.x47 == 0) m.e30 = Constraint(expr= -1.02**(-0.142857142857143 * m.x65) * (1.1 + 0.1 * m.x14) - 0.75 * m.x47 + m.x48 == 0) m.e31 = Constraint(expr= -1.02**(-0.142857142857143 * m.x66) * (1.1 + 0.1 * m.x15) - 0.75 * m.x48 + m.x49 == 0) m.e32 = Constraint(expr= -1.02**(-0.142857142857143 * m.x67) * (1.1 + 0.1 * m.x16) - 0.75 * m.x49 + m.x50 == 0) m.e33 = Constraint(expr= -m.x35 - m.x51 + m.x52 == 0) m.e34 = Constraint(expr= -m.x36 - m.x52 + m.x53 == 0) m.e35 = Constraint(expr= -m.x37 - m.x53 + m.x54 == 0) m.e36 = Constraint(expr= -m.x38 - m.x54 + m.x55 == 0) m.e37 = Constraint(expr= -m.x39 - m.x55 + m.x56 == 0) m.e38 = Constraint(expr= -m.x40 - m.x56 + m.x57 == 0) m.e39 = Constraint(expr= -m.x41 - m.x57 + m.x58 == 0) m.e40 = Constraint(expr= -m.x42 - m.x58 + m.x59 == 0) m.e41 = Constraint(expr= -m.x43 - m.x59 + m.x60 == 0) m.e42 = Constraint(expr= -m.x44 - m.x60 + m.x61 == 0) m.e43 = Constraint(expr= -m.x45 - m.x61 + m.x62 == 0) m.e44 = Constraint(expr= -m.x46 - m.x62 + m.x63 == 0) m.e45 = Constraint(expr= -m.x47 - m.x63 + m.x64 == 0) m.e46 = Constraint(expr= -m.x48 - m.x64 + m.x65 == 0) m.e47 = Constraint(expr= -m.x49 - m.x65 + m.x66 == 0) m.e48 = Constraint(expr= -m.x50 - m.x66 + m.x67 == 0) m.e49 = Constraint(expr= -m.x18 + m.x35 + m.x68 == 0) m.e50 = Constraint(expr= -m.x19 + m.x36 + m.x69 == 0) m.e51 = Constraint(expr= -m.x20 + m.x37 + m.x70 == 0) m.e52 = Constraint(expr= -m.x21 + m.x38 + m.x71 == 0) m.e53 = Constraint(expr= -m.x22 + m.x39 + m.x72 == 0) m.e54 = Constraint(expr= -m.x23 + m.x40 + m.x73 == 0) m.e55 = Constraint(expr= -m.x24 + m.x41 + m.x74 == 0) m.e56 = Constraint(expr= -m.x25 + m.x42 + m.x75 == 0) m.e57 = Constraint(expr= -m.x26 + m.x43 + m.x76 == 0) m.e58 = Constraint(expr= -m.x27 + m.x44 + m.x77 == 0) m.e59 = Constraint(expr= -m.x28 + m.x45 + m.x78 == 0) m.e60 = Constraint(expr= -m.x29 + m.x46 + m.x79 == 0) m.e61 = Constraint(expr= -m.x30 + m.x47 + m.x80 == 0) m.e62 = Constraint(expr= -m.x31 + m.x48 + m.x81 == 0) m.e63 = Constraint(expr= -m.x32 + m.x49 + m.x82 == 0) m.e64 = Constraint(expr= -m.x33 + m.x50 + m.x83 == 0) m.e65 = Constraint(expr= m.x68 - m.x84 + m.x85 == 0) m.e66 = Constraint(expr= m.x69 - m.x85 + m.x86 == 0) m.e67 = Constraint(expr= m.x70 - m.x86 + m.x87 == 0) m.e68 = Constraint(expr= m.x71 - m.x87 + m.x88 == 0) m.e69 = Constraint(expr= m.x72 - m.x88 + m.x89 == 0) m.e70 = Constraint(expr= m.x73 - m.x89 + m.x90 == 0) m.e71 = Constraint(expr= m.x74 - m.x90 + m.x91 == 0) m.e72 = Constraint(expr= m.x75 - m.x91 + m.x92 == 0) m.e73 = Constraint(expr= m.x76 - m.x92 + m.x93 == 0) m.e74 = Constraint(expr= m.x77 - m.x93 + m.x94 == 0) m.e75 = Constraint(expr= m.x78 - m.x94 + m.x95 == 0) m.e76 = Constraint(expr= m.x79 - m.x95 + m.x96 == 0) m.e77 = Constraint(expr= m.x80 - m.x96 + m.x97 == 0) m.e78 = Constraint(expr= m.x81 - m.x97 + m.x98 == 0) m.e79 = Constraint(expr= m.x82 - m.x98 + m.x99 == 0) m.e80 = Constraint(expr= m.x83 - m.x99 + m.x100 == 0) m.e81 = Constraint(expr= -m.x68 * (-250 / m.x85 + m.x1) + m.x101 == 0) m.e82 = Constraint(expr= -m.x69 * (-250 / m.x86 + m.x2) + m.x102 == 0) m.e83 = Constraint(expr= -m.x70 * (-250 / m.x87 + m.x3) + m.x103 == 0) m.e84 = Constraint(expr= -m.x71 * (-250 / m.x88 + m.x4) + m.x104 == 0) m.e85 = Constraint(expr= -m.x72 * (-250 / m.x89 + m.x5) + m.x105 == 0) m.e86 = Constraint(expr= -m.x73 * (-250 / m.x90 + m.x6) + m.x106 == 0) m.e87 = Constraint(expr= -m.x74 * (-250 / m.x91 + m.x7) + m.x107 == 0) m.e88 = Constraint(expr= -m.x75 * (-250 / m.x92 + m.x8) + m.x108 == 0) m.e89 = Constraint(expr= -m.x76 * (-250 / m.x93 + m.x9) + m.x109 == 0) m.e90 = Constraint(expr= -m.x77 * (-250 / m.x94 + m.x10) + m.x110 == 0) m.e91 = Constraint(expr= -m.x78 * (-250 / m.x95 + m.x11) + m.x111 == 0) m.e92 = Constraint(expr= -m.x79 * (-250 / m.x96 + m.x12) + m.x112 == 0) m.e93 = Constraint(expr= -m.x80 * (-250 / m.x97 + m.x13) + m.x113 == 0) m.e94 = Constraint(expr= -m.x81 * (-250 / m.x98 + m.x14) + m.x114 == 0) m.e95 = Constraint(expr= -m.x82 * (-250 / m.x99 + m.x15) + m.x115 == 0) m.e96 = Constraint(expr= -m.x83 * (-250 / m.x100 + m.x16) + m.x116 == 0)