# MINLP written by GAMS Convert at 02/17/22 17:18:21 # # Equation counts # Total E G L N X C B # 73 12 60 1 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 46 22 24 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 178 168 10 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x2 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x3 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x4 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x5 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x6 = Var(within=Reals, bounds=(0,1.38629436111989), initialize=0) m.x7 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x8 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x9 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x10 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x11 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x12 = Var(within=Reals, bounds=(5.7037824746562,8.00636756765025) , initialize=5.7037824746562) m.x13 = Var(within=Reals, bounds=(4.45966,397.747), initialize=4.45966) m.x14 = Var(within=Reals, bounds=(3.7495,882.353), initialize=3.7495) m.x15 = Var(within=Reals, bounds=(4.49144,833.333), initialize=4.49144) m.x16 = Var(within=Reals, bounds=(3.14988,638.298), initialize=3.14988) m.x17 = Var(within=Reals, bounds=(3.04452,666.667), initialize=3.04452) m.x18 = Var(within=Reals, bounds=(0.729961,2.11626), initialize=0.729961) m.x19 = Var(within=Reals, bounds=(0.530628,1.91626), initialize=0.530628) m.x20 = Var(within=Reals, bounds=(1.09024,2.47654), initialize=1.09024) m.x21 = Var(within=Reals, bounds=(-0.133531,1.25276), initialize=0) m.x22 = Var(within=Reals, bounds=(0.0487901,1.43508), initialize=0.0487901) m.b23 = Var(within=Binary, bounds=(0,1), initialize=0) m.b24 = Var(within=Binary, bounds=(0,1), initialize=0) m.b25 = Var(within=Binary, bounds=(0,1), initialize=0) m.b26 = Var(within=Binary, bounds=(0,1), initialize=0) m.b27 = Var(within=Binary, bounds=(0,1), initialize=0) m.b28 = Var(within=Binary, bounds=(0,1), initialize=0) m.b29 = Var(within=Binary, bounds=(0,1), initialize=0) m.b30 = Var(within=Binary, bounds=(0,1), initialize=0) m.b31 = Var(within=Binary, bounds=(0,1), initialize=0) m.b32 = Var(within=Binary, bounds=(0,1), initialize=0) m.b33 = Var(within=Binary, bounds=(0,1), initialize=0) m.b34 = Var(within=Binary, bounds=(0,1), initialize=0) m.b35 = Var(within=Binary, bounds=(0,1), initialize=0) m.b36 = Var(within=Binary, bounds=(0,1), initialize=0) m.b37 = Var(within=Binary, bounds=(0,1), initialize=0) m.b38 = Var(within=Binary, bounds=(0,1), initialize=0) m.b39 = Var(within=Binary, bounds=(0,1), initialize=0) m.b40 = Var(within=Binary, bounds=(0,1), initialize=0) m.b41 = Var(within=Binary, bounds=(0,1), initialize=0) m.b42 = Var(within=Binary, bounds=(0,1), initialize=0) m.b43 = Var(within=Binary, bounds=(0,1), initialize=0) m.b44 = Var(within=Binary, bounds=(0,1), initialize=0) m.b45 = Var(within=Binary, bounds=(0,1), initialize=0) m.b46 = Var(within=Binary, bounds=(0,1), initialize=0) m.obj = Objective(sense=minimize, expr= 250 * exp(m.x1 + 0.6 * m.x7) + 250 * exp(m.x2 + 0.6 * m.x8) + 250 * exp(m.x3 + 0.6 * m.x9) + 250 * exp(m.x4 + 0.6 * m.x10) + 250 * exp(m.x5 + 0.6 * m.x11) + 250 * exp(m.x6 + 0.6 * m.x12)) m.e1 = Constraint(expr= m.x7 - m.x13 >= 2.06686275947298) m.e2 = Constraint(expr= m.x8 - m.x13 >= 0.693147180559945) m.e3 = Constraint(expr= m.x9 - m.x13 >= 1.64865862558738) m.e4 = Constraint(expr= m.x10 - m.x13 >= 1.58923520511658) m.e5 = Constraint(expr= m.x11 - m.x13 >= 1.80828877117927) m.e6 = Constraint(expr= m.x12 - m.x13 >= 1.43508452528932) m.e7 = Constraint(expr= m.x7 - m.x14 >= -0.356674943938732) m.e8 = Constraint(expr= m.x8 - m.x14 >= -0.22314355131421) m.e9 = Constraint(expr= m.x9 - m.x14 >= -0.105360515657826) m.e10 = Constraint(expr= m.x10 - m.x14 >= 1.22377543162212) m.e11 = Constraint(expr= m.x11 - m.x14 >= 0.741937344729377) m.e12 = Constraint(expr= m.x12 - m.x14 >= 0.916290731874155) m.e13 = Constraint(expr= m.x7 - m.x15 >= -0.356674943938732) m.e14 = Constraint(expr= m.x8 - m.x15 >= 0.955511445027436) m.e15 = Constraint(expr= m.x9 - m.x15 >= 0.470003629245736) m.e16 = Constraint(expr= m.x10 - m.x15 >= 1.28093384546206) m.e17 = Constraint(expr= m.x11 - m.x15 >= 1.16315080980568) m.e18 = Constraint(expr= m.x12 - m.x15 >= 1.06471073699243) m.e19 = Constraint(expr= m.x7 - m.x16 >= 1.54756250871601) m.e20 = Constraint(expr= m.x8 - m.x16 >= 0.832909122935104) m.e21 = Constraint(expr= m.x9 - m.x16 >= 0.470003629245736) m.e22 = Constraint(expr= m.x10 - m.x16 >= 0.993251773010283) m.e23 = Constraint(expr= m.x11 - m.x16 >= 0.182321556793955) m.e24 = Constraint(expr= m.x12 - m.x16 >= 0.916290731874155) m.e25 = Constraint(expr= m.x7 - m.x17 >= 0.182321556793955) m.e26 = Constraint(expr= m.x8 - m.x17 >= 1.28093384546206) m.e27 = Constraint(expr= m.x9 - m.x17 >= 0.8754687373539) m.e28 = Constraint(expr= m.x10 - m.x17 >= 1.50407739677627) m.e29 = Constraint(expr= m.x11 - m.x17 >= 0.470003629245736) m.e30 = Constraint(expr= m.x12 - m.x17 >= 0.741937344729377) m.e31 = Constraint(expr= m.x1 + m.x18 >= 1.85629799036563) m.e32 = Constraint(expr= m.x2 + m.x18 >= 1.54756250871601) m.e33 = Constraint(expr= m.x3 + m.x18 >= 2.11625551480255) m.e34 = Constraint(expr= m.x4 + m.x18 >= 1.3609765531356) m.e35 = Constraint(expr= m.x5 + m.x18 >= 0.741937344729377) m.e36 = Constraint(expr= m.x6 + m.x18 >= 0.182321556793955) m.e37 = Constraint(expr= m.x1 + m.x19 >= 1.91692261218206) m.e38 = Constraint(expr= m.x2 + m.x19 >= 1.85629799036563) m.e39 = Constraint(expr= m.x3 + m.x19 >= 1.87180217690159) m.e40 = Constraint(expr= m.x4 + m.x19 >= 1.48160454092422) m.e41 = Constraint(expr= m.x5 + m.x19 >= 0.832909122935104) m.e42 = Constraint(expr= m.x6 + m.x19 >= 1.16315080980568) m.e43 = Constraint(expr= m.x1 + m.x20 >= 0) m.e44 = Constraint(expr= m.x2 + m.x20 >= 1.84054963339749) m.e45 = Constraint(expr= m.x3 + m.x20 >= 1.68639895357023) m.e46 = Constraint(expr= m.x4 + m.x20 >= 2.47653840011748) m.e47 = Constraint(expr= m.x5 + m.x20 >= 1.7404661748405) m.e48 = Constraint(expr= m.x6 + m.x20 >= 1.82454929205105) m.e49 = Constraint(expr= m.x1 + m.x21 >= 1.16315080980568) m.e50 = Constraint(expr= m.x2 + m.x21 >= 1.09861228866811) m.e51 = Constraint(expr= m.x3 + m.x21 >= 1.25276296849537) m.e52 = Constraint(expr= m.x4 + m.x21 >= 1.19392246847243) m.e53 = Constraint(expr= m.x5 + m.x21 >= 1.02961941718116) m.e54 = Constraint(expr= m.x6 + m.x21 >= 1.22377543162212) m.e55 = Constraint(expr= m.x1 + m.x22 >= 0.741937344729377) m.e56 = Constraint(expr= m.x2 + m.x22 >= 0.916290731874155) m.e57 = Constraint(expr= m.x3 + m.x22 >= 1.43508452528932) m.e58 = Constraint(expr= m.x4 + m.x22 >= 1.28093384546206) m.e59 = Constraint(expr= m.x5 + m.x22 >= 1.30833281965018) m.e60 = Constraint(expr= m.x6 + m.x22 >= 0.78845736036427) m.e61 = Constraint(expr= 2.5e+05 * exp(-m.x13 + m.x18) + 1.5e+05 * exp(-m.x14 + m.x19) + 1.8e+05 * exp(-m.x15 + m.x20) + 1.6e+05 * exp(-m.x16 + m.x21) + 1.2e+05 * exp(-m.x17 + m.x22) <= 6000) m.e62 = Constraint(expr= m.x1 - 0.693147180559945 * m.b29 - 1.09861228866811 * m.b35 - 1.38629436111989 * m.b41 == 0) m.e63 = Constraint(expr= m.x2 - 0.693147180559945 * m.b30 - 1.09861228866811 * m.b36 - 1.38629436111989 * m.b42 == 0) m.e64 = Constraint(expr= m.x3 - 0.693147180559945 * m.b31 - 1.09861228866811 * m.b37 - 1.38629436111989 * m.b43 == 0) m.e65 = Constraint(expr= m.x4 - 0.693147180559945 * m.b32 - 1.09861228866811 * m.b38 - 1.38629436111989 * m.b44 == 0) m.e66 = Constraint(expr= m.x5 - 0.693147180559945 * m.b33 - 1.09861228866811 * m.b39 - 1.38629436111989 * m.b45 == 0) m.e67 = Constraint(expr= m.x6 - 0.693147180559945 * m.b34 - 1.09861228866811 * m.b40 - 1.38629436111989 * m.b46 == 0) m.e68 = Constraint(expr= m.b23 + m.b29 + m.b35 + m.b41 == 1) m.e69 = Constraint(expr= m.b24 + m.b30 + m.b36 + m.b42 == 1) m.e70 = Constraint(expr= m.b25 + m.b31 + m.b37 + m.b43 == 1) m.e71 = Constraint(expr= m.b26 + m.b32 + m.b38 + m.b44 == 1) m.e72 = Constraint(expr= m.b27 + m.b33 + m.b39 + m.b45 == 1) m.e73 = Constraint(expr= m.b28 + m.b34 + m.b40 + m.b46 == 1)