# NLP written by GAMS Convert at 02/17/22 17:19:04 # # Equation counts # Total E G L N X C B # 60 0 0 60 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 16 16 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 144 32 112 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x2 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x3 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x4 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x5 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x6 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x7 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x8 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x9 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x10 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x11 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x12 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x13 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x14 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x15 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.x16 = Var(within=Reals, bounds=(-18.999999,18.999999), initialize=0) m.obj = Objective(sense=minimize, expr= -10 * m.x2 * m.x1 + 18 * m.x1**2 + 14 * m.x2**2 + 18 * m.x9**2 - 10 * m.x10 * m.x9 + 14 * m.x10**2 - 4 * m.x3 * m.x1 - 6 * m.x3 * m.x2 + 10 * m.x3**2 - 4 * m.x11 * m.x9 - 6 * m.x11 * m.x10 + 10 * m.x11**2 - 8 * m.x4 * m.x1 + 23 * m.x4**2 - 8 * m.x12 * m.x9 + 23 * m.x12**2 - 2 * m.x5 * m.x1 - 4 * m.x5 * m.x2 - 10 * m.x5 * m.x4 + 18 * m.x5**2 - 2 * m.x13 * m.x9 - 4 * m.x13 * m.x10 - 10 * m.x13 * m.x12 + 18 * m.x13**2 - 4 * m.x6 * m.x2 - 4 * m.x6 * m.x4 - 20 * m.x6 * m.x5 + 20 * m.x6**2 - 4 * m.x14 * m.x10 - 4 * m.x14 * m.x12 - 20 * m.x14 * m.x13 + 20 * m.x14**2 - 12 * m.x8 * m.x1 - 10 * m.x8 * m.x3 - 20 * m.x8 * m.x4 - 2 * m.x8 * m.x6 + 32 * m.x8**2 - 12 * m.x16 * m.x9 - 10 * m.x16 * m.x11 - 20 * m.x16 * m.x12 - 2 * m.x16 * m.x14 + 32 * m.x16**2 - 4 * m.x7 * m.x2 - 4 * m.x7 * m.x4 - 10 * m.x7 * m.x6 - 20 * m.x7 * m.x8 + 19 * m.x7**2 - 4 * m.x15 * m.x10 - 4 * m.x15 * m.x12 - 10 * m.x15 * m.x14 - 20 * m.x15 * m.x16 + 19 * m.x15**2) m.e1 = Constraint(expr= -sqrt((m.x1 - m.x2)**2 + (m.x9 - m.x10)**2) <= -2.995353) m.e2 = Constraint(expr= -sqrt((m.x1 - m.x3)**2 + (m.x9 - m.x11)**2) <= -2.532248) m.e3 = Constraint(expr= -sqrt((m.x1 - m.x4)**2 + (m.x9 - m.x12)**2) <= -2.638959) m.e4 = Constraint(expr= -sqrt((m.x1 - m.x5)**2 + (m.x9 - m.x13)**2) <= -2.638959) m.e5 = Constraint(expr= -sqrt((m.x1 - m.x6)**2 + (m.x9 - m.x14)**2) <= -2.121321) m.e6 = Constraint(expr= -sqrt((m.x1 - m.x7)**2 + (m.x9 - m.x15)**2) <= -1.914214) m.e7 = Constraint(expr= -sqrt((m.x1 - m.x8)**2 + (m.x9 - m.x16)**2) <= -2.828428) m.e8 = Constraint(expr= -sqrt((m.x2 - m.x3)**2 + (m.x10 - m.x11)**2) <= -2.699173) m.e9 = Constraint(expr= -sqrt((m.x2 - m.x4)**2 + (m.x10 - m.x12)**2) <= -2.805884) m.e10 = Constraint(expr= -sqrt((m.x2 - m.x5)**2 + (m.x10 - m.x13)**2) <= -2.805884) m.e11 = Constraint(expr= -sqrt((m.x2 - m.x6)**2 + (m.x10 - m.x14)**2) <= -2.288246) m.e12 = Constraint(expr= -sqrt((m.x2 - m.x7)**2 + (m.x10 - m.x15)**2) <= -2.081139) m.e13 = Constraint(expr= -sqrt((m.x2 - m.x8)**2 + (m.x10 - m.x16)**2) <= -2.995353) m.e14 = Constraint(expr= -sqrt((m.x3 - m.x4)**2 + (m.x11 - m.x12)**2) <= -2.342779) m.e15 = Constraint(expr= -sqrt((m.x3 - m.x5)**2 + (m.x11 - m.x13)**2) <= -2.342779) m.e16 = Constraint(expr= -sqrt((m.x3 - m.x6)**2 + (m.x11 - m.x14)**2) <= -1.825141) m.e17 = Constraint(expr= -sqrt((m.x3 - m.x7)**2 + (m.x11 - m.x15)**2) <= -1.618034) m.e18 = Constraint(expr= -sqrt((m.x3 - m.x8)**2 + (m.x11 - m.x16)**2) <= -2.532248) m.e19 = Constraint(expr= -sqrt((m.x4 - m.x5)**2 + (m.x12 - m.x13)**2) <= -2.44949) m.e20 = Constraint(expr= -sqrt((m.x4 - m.x6)**2 + (m.x12 - m.x14)**2) <= -1.931852) m.e21 = Constraint(expr= -sqrt((m.x4 - m.x7)**2 + (m.x12 - m.x15)**2) <= -1.724745) m.e22 = Constraint(expr= -sqrt((m.x4 - m.x8)**2 + (m.x12 - m.x16)**2) <= -2.638959) m.e23 = Constraint(expr= -sqrt((m.x5 - m.x6)**2 + (m.x13 - m.x14)**2) <= -1.931852) m.e24 = Constraint(expr= -sqrt((m.x5 - m.x7)**2 + (m.x13 - m.x15)**2) <= -1.724745) m.e25 = Constraint(expr= -sqrt((m.x5 - m.x8)**2 + (m.x13 - m.x16)**2) <= -2.638959) m.e26 = Constraint(expr= -sqrt((m.x6 - m.x7)**2 + (m.x14 - m.x15)**2) <= -1.207107) m.e27 = Constraint(expr= -sqrt((m.x6 - m.x8)**2 + (m.x14 - m.x16)**2) <= -2.121321) m.e28 = Constraint(expr= -sqrt((m.x7 - m.x8)**2 + (m.x15 - m.x16)**2) <= -1.914214) m.e29 = Constraint(expr= -m.x1 <= 1.210786) m.e30 = Constraint(expr= -m.x2 <= 1.043861) m.e31 = Constraint(expr= -m.x3 <= 1.506966) m.e32 = Constraint(expr= -m.x4 <= 1.400255) m.e33 = Constraint(expr= -m.x5 <= 1.400255) m.e34 = Constraint(expr= -m.x6 <= 1.917893) m.e35 = Constraint(expr= -m.x7 <= 2.125) m.e36 = Constraint(expr= -m.x8 <= 1.210786) m.e37 = Constraint(expr= m.x1 <= 1.210786) m.e38 = Constraint(expr= m.x2 <= 1.043861) m.e39 = Constraint(expr= m.x3 <= 1.506966) m.e40 = Constraint(expr= m.x4 <= 1.400255) m.e41 = Constraint(expr= m.x5 <= 1.400255) m.e42 = Constraint(expr= m.x6 <= 1.917893) m.e43 = Constraint(expr= m.x7 <= 2.125) m.e44 = Constraint(expr= m.x8 <= 1.210786) m.e45 = Constraint(expr= -m.x9 <= 3.710786) m.e46 = Constraint(expr= -m.x10 <= 3.543861) m.e47 = Constraint(expr= -m.x11 <= 4.006966) m.e48 = Constraint(expr= -m.x12 <= 3.900255) m.e49 = Constraint(expr= -m.x13 <= 3.900255) m.e50 = Constraint(expr= -m.x14 <= 4.417893) m.e51 = Constraint(expr= -m.x15 <= 4.625) m.e52 = Constraint(expr= -m.x16 <= 3.710786) m.e53 = Constraint(expr= m.x9 <= 3.710786) m.e54 = Constraint(expr= m.x10 <= 3.543861) m.e55 = Constraint(expr= m.x11 <= 4.006966) m.e56 = Constraint(expr= m.x12 <= 3.900255) m.e57 = Constraint(expr= m.x13 <= 3.900255) m.e58 = Constraint(expr= m.x14 <= 4.417893) m.e59 = Constraint(expr= m.x15 <= 4.625) m.e60 = Constraint(expr= m.x16 <= 3.710786)