# NLP written by GAMS Convert at 02/17/22 17:18:41 # # Equation counts # Total E G L N X C B # 57 29 2 26 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 70 70 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 281 275 6 # # 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=(None,None), initialize=0) m.x9 = Var(within=Reals, bounds=(None,None), initialize=0) m.x10 = Var(within=Reals, bounds=(None,None), initialize=0) m.x11 = Var(within=Reals, bounds=(None,None), initialize=0) m.x12 = Var(within=Reals, bounds=(None,None), initialize=0) m.x13 = Var(within=Reals, bounds=(None,None), initialize=0) m.x14 = Var(within=Reals, bounds=(None,None), initialize=0) m.x15 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x16 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x17 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x18 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x19 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x20 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x21 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x22 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x23 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x24 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x25 = Var(within=Reals, bounds=(0,25000), initialize=0) m.x26 = Var(within=Reals, bounds=(0,25000), 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.x38 = Var(within=Reals, bounds=(0,None), initialize=0) m.x39 = Var(within=Reals, bounds=(0,None), initialize=0) m.x40 = Var(within=Reals, bounds=(0,None), initialize=0) m.x41 = Var(within=Reals, bounds=(0,None), initialize=0) m.x42 = Var(within=Reals, bounds=(0,None), initialize=0) m.x43 = Var(within=Reals, bounds=(0,None), initialize=0) m.x44 = Var(within=Reals, bounds=(0,None), initialize=0) m.x45 = Var(within=Reals, bounds=(0,None), initialize=0) m.x46 = Var(within=Reals, bounds=(0,None), initialize=0) m.x47 = Var(within=Reals, bounds=(0,None), initialize=0) m.x48 = Var(within=Reals, bounds=(0,None), initialize=0) m.x49 = Var(within=Reals, bounds=(0,None), initialize=0) m.x50 = Var(within=Reals, bounds=(0,None), initialize=0) m.x51 = Var(within=Reals, bounds=(0,None), initialize=0) m.x52 = Var(within=Reals, bounds=(0,None), initialize=0) m.x53 = Var(within=Reals, bounds=(0,None), initialize=0) m.x54 = Var(within=Reals, bounds=(0,None), initialize=0) m.x55 = Var(within=Reals, bounds=(0,None), initialize=0) m.x56 = Var(within=Reals, bounds=(None,None), initialize=100) m.x57 = Var(within=Reals, bounds=(None,None), initialize=200) m.x58 = Var(within=Reals, bounds=(None,None), initialize=125) m.x59 = Var(within=Reals, bounds=(None,None), initialize=350) m.x60 = Var(within=Reals, bounds=(None,None), initialize=70) m.x61 = Var(within=Reals, bounds=(None,None), initialize=120) m.x62 = Var(within=Reals, bounds=(0,None), initialize=0) m.x63 = Var(within=Reals, bounds=(0,None), initialize=0) m.x64 = Var(within=Reals, bounds=(0,None), initialize=0) m.x65 = Var(within=Reals, bounds=(0,None), initialize=0) m.x66 = Var(within=Reals, bounds=(0,None), initialize=0) m.x67 = Var(within=Reals, bounds=(0,None), initialize=0) m.x68 = Var(within=Reals, bounds=(None,None), initialize=0) m.x69 = Var(within=Reals, bounds=(None,None), initialize=0) m.x70 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= 0.0231481481481481 * m.x50**2 - 225 * m.x50 + 0.277777777777778 * m.x51**2 - 700 * m.x51 + 0.0892857142857143 * m.x52**2 - 250 * m.x52 + 0.0833333333333333 * m.x53**2 - 700 * m.x53 + 0.0184210526315789 * m.x54**2 - 210 * m.x54 + 0.1 * m.x55**2 - 220 * m.x55 + m.x14 - 40 * m.x62 - 300 * m.x63 - 60 * m.x64 + 140 * m.x65 + 270 * m.x66 + 85 * m.x67) m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 <= 4000) m.e2 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 <= 4000) m.e3 = Constraint(expr= m.x1 + 0.5 * m.x2 + m.x3 + m.x4 + 0.5 * m.x5 <= 4000) m.e4 = Constraint(expr= m.x1 + m.x3 + m.x4 + m.x5 <= 4000) m.e5 = Constraint(expr= m.x1 + 0.25 * m.x4 + m.x5 + 0.25 * m.x6 <= 4000) m.e6 = Constraint(expr= m.x5 + m.x6 <= 4000) m.e7 = Constraint(expr= m.x5 + m.x6 + 0.75 * m.x7 <= 4000) m.e8 = Constraint(expr= m.x5 + m.x6 + m.x7 <= 4000) m.e9 = Constraint(expr= m.x5 + m.x6 + m.x7 <= 4000) m.e10 = Constraint(expr= m.x5 + 0.5 * m.x6 + m.x7 <= 4000) m.e11 = Constraint(expr= 0.5 * m.x1 + 0.25 * m.x2 + 0.25 * m.x3 + 0.5 * m.x4 + 0.75 * m.x5 + 0.75 * m.x7 <= 4000) m.e12 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 <= 4000) m.e13 = Constraint(expr= 1.72 * m.x1 + 4.5 * m.x2 + 0.75 * m.x3 + 5.16 * m.x4 - m.x15 - m.x27 + 2 * m.x39 + 2 * m.x40 <= 0) m.e14 = Constraint(expr= 0.5 * m.x1 + m.x2 + 0.75 * m.x3 + 5 * m.x4 - m.x16 - m.x28 + 2 * m.x39 + 2 * m.x40 <= 0) m.e15 = Constraint(expr= m.x1 + 8 * m.x2 + 0.75 * m.x3 + 5 * m.x4 + 5 * m.x5 - m.x17 - m.x29 + 2 * m.x39 + 2 * m.x40 <= 0) m.e16 = Constraint(expr= m.x1 + 16 * m.x3 + 19.58 * m.x4 + 5 * m.x5 - m.x18 - m.x30 + 2 * m.x39 + 2 * m.x40 <= 0) m.e17 = Constraint(expr= 17.16 * m.x1 + 2.42 * m.x4 + 9 * m.x5 + 4.3 * m.x6 - m.x19 - m.x31 + 2 * m.x39 + 2 * m.x40 <= 0) m.e18 = Constraint(expr= 2.34 * m.x1 + 2 * m.x5 + 5.04 * m.x6 - m.x20 - m.x32 + 2 * m.x39 + 2 * m.x40 <= 0) m.e19 = Constraint(expr= 1.5 * m.x5 + 7.16 * m.x6 + 17 * m.x7 - m.x21 - m.x33 + 2 * m.x39 + 2 * m.x40 <= 0) m.e20 = Constraint(expr= 2 * m.x5 + 7.97 * m.x6 + 15 * m.x7 - m.x22 - m.x34 + 2 * m.x39 + 2 * m.x40 <= 0) m.e21 = Constraint(expr= m.x5 + 4.41 * m.x6 + 12 * m.x7 - m.x23 - m.x35 + 2 * m.x39 + 2 * m.x40 <= 0) m.e22 = Constraint(expr= 26 * m.x5 + 1.12 * m.x6 + 7 * m.x7 - m.x24 - m.x36 + 2 * m.x39 + 2 * m.x40 <= 0) m.e23 = Constraint(expr= 2.43 * m.x1 + 2.5 * m.x2 + 7.5 * m.x3 + 11.16 * m.x4 + 12 * m.x5 + 6 * m.x7 - m.x25 - m.x37 + 2 * m.x39 + 2 * m.x40 <= 0) m.e24 = Constraint(expr= 1.35 * m.x1 + 7.5 * m.x2 + 0.75 * m.x3 + 4.68 * m.x4 - m.x26 - m.x38 + 2 * m.x39 + 2 * m.x40 <= 0) m.e25 = Constraint(expr= m.x5 + m.x6 + m.x7 - 2 * m.x39 - 2 * m.x40 - m.x48 <= 0) m.e26 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 - 2 * m.x39 - 2 * m.x40 - m.x49 <= 0) m.e27 = Constraint(expr= m.x13 - 3 * m.x15 - 3 * m.x16 - 3 * m.x17 - 3 * m.x18 - 3 * m.x19 - 3 * m.x20 - 3 * m.x21 - 3 * m.x22 - 3 * m.x23 - 3 * m.x24 - 3 * m.x25 - 3 * m.x26 == 0) m.e28 = Constraint(expr= 0.0462962962962963 * m.x50**2 - 225 * m.x50 + 0.555555555555555 * m.x51**2 - 700 * m.x51 + 0.178571428571429 * m.x52**2 - 250 * m.x52 + 0.166666666666667 * m.x53**2 - 700 * m.x53 + 0.0368421052631579 * m.x54**2 - 210 * m.x54 + 0.2 * m.x55**2 - 220 * m.x55 + m.x9 - 40 * m.x62 - 300 * m.x63 - 60 * m.x64 == 0) m.e29 = Constraint(expr= m.x12 - 4 * m.x27 - 4 * m.x28 - 4 * m.x29 - 4 * m.x30 - 4 * m.x31 - 4 * m.x32 - 4 * m.x33 - 4 * m.x34 - 4 * m.x35 - 4 * m.x36 - 4 * m.x37 - 4 * m.x38 == 0) m.e30 = Constraint(expr= -m.x10 - m.x11 - m.x12 - m.x13 + m.x14 == 0) m.e31 = Constraint(expr= -m.x41 + m.x50 - m.x65 == 0) m.e32 = Constraint(expr= -m.x43 + m.x51 - m.x66 == 0) m.e33 = Constraint(expr= -m.x44 + m.x52 + m.x62 == 0) m.e34 = Constraint(expr= -m.x45 + m.x53 + m.x63 == 0) m.e35 = Constraint(expr= -m.x46 + m.x54 - m.x67 == 0) m.e36 = Constraint(expr= -m.x47 + m.x55 + m.x64 == 0) m.e37 = Constraint(expr= -0.0916666666666667 * m.x1 - 0.0783333333333333 * m.x2 - 0.0883333333333333 * m.x3 - 0.176666666666667 * m.x4 - 0.211666666666667 * m.x5 - 0.1 * m.x6 - 0.19 * m.x7 - 0.00666666666666667 * m.x39 - 0.00666666666666667 * m.x40 + m.x69 == 0) m.e38 = Constraint(expr= -1.5 * m.x1 + m.x41 == 0) m.e39 = Constraint(expr= -6 * m.x2 + m.x42 == 0) m.e40 = Constraint(expr= -m.x3 + m.x43 == 0) m.e41 = Constraint(expr= -3 * m.x4 + m.x44 == 0) m.e42 = Constraint(expr= -1.5 * m.x5 + m.x45 == 0) m.e43 = Constraint(expr= -2 * m.x6 + m.x46 == 0) m.e44 = Constraint(expr= -3 * m.x7 + m.x47 == 0) m.e45 = Constraint(expr= -100 * m.x41 - 200 * m.x43 - 125 * m.x44 - 350 * m.x45 - 70 * m.x46 - 120 * m.x47 + m.x68 == 0) m.e46 = Constraint(expr= -10 * m.x1 - 5 * m.x3 - 50 * m.x4 - 80 * m.x5 - 5 * m.x6 - 50 * m.x7 + m.x10 == 0) m.e47 = Constraint(expr= m.x11 - 40 * m.x48 - 40 * m.x49 == 0) m.e48 = Constraint(expr= 6 * m.x2 - 1.3 * m.x39 - 2 * m.x40 >= 0) m.e49 = Constraint(expr= 1.75 * m.x1 - 1.6 * m.x39 - 0.8 * m.x40 >= 0) m.e50 = Constraint(expr= -m.x8 - m.x9 - m.x13 + m.x14 == 0) m.e51 = Constraint(expr= -40 * m.x62 - 300 * m.x63 - 60 * m.x64 + 140 * m.x65 + 270 * m.x66 + 85 * m.x67 + m.x70 == 0) m.e52 = Constraint(expr= 0.0462962962962963 * m.x50 + m.x56 == 225) m.e53 = Constraint(expr= 0.555555555555555 * m.x51 + m.x57 == 700) m.e54 = Constraint(expr= 0.178571428571429 * m.x52 + m.x58 == 250) m.e55 = Constraint(expr= 0.166666666666667 * m.x53 + m.x59 == 700) m.e56 = Constraint(expr= 0.0368421052631579 * m.x54 + m.x60 == 210) m.e57 = Constraint(expr= 0.2 * m.x55 + m.x61 == 220)