### tp059.apm

Model tp059
! Source version 1
Parameters
c20a = -0.12694 ! from CUTE and PROB.FOR
c20b = 0 ! from H+S
c12a = -3.4054e-4 ! from PROB.FOR
c12b = -3.405e-4 ! from H+S
c20 = c20a ! my quite clear decision from data below
c12 = c12a ! my quite clear decision from data below
End Parameters
Variables
x[1] = 90, >= 0, <= 75
x[2] = 10, >= 0, <= 65
obj
End Variables
Equations
x[1]*x[2] - 700 >= 0
x[2] - x[1]^2/125 >= 0
(x[2] - 50)^2 - 5*(x[1] - 55) >= 0
obj = (-75.196) + 3.8112*x[1] + c20*x[1]^2 &
+ 0.0020567*x[1]^3 - 1.0345e-5*x[1]^4 + 6.8306*x[2] &
- 0.030234*x[1]*x[2] + 1.28134e-3*x[2]*x[1]^2 &
+ 2.266e-7*x[1]^4*x[2] - 0.25645*x[2]^2 + 0.0034604*x[2]^3 &
- 1.3514e-5*x[2]^4 + 28.106/(x[2] + 1) &
+ 5.2375e-6*x[1]^2*x[2]^2 + 6.3e-8*x[1]^3*x[2]^2 &
- 7e-10*x[1]^3*x[2]^3 + c12*x[1]*x[2]^2 &
+ 1.6638e-6*x[1]*x[2]^3 + 2.8673*exp(0.0005*x[1]*x[2]) &
- 3.5256e-5*x[1]^3*x[2]
! best known objective = -7.804235953664777
! begin of best known solution
! x[1] = 13.55008884043414
! x[2] = 51.6601778957467
! end of best known solution
! c20 = c20a, c12 = c12a ! best known objective = -7.804235953664777
! c20 = c20a, c12 = c12a ! begin of best known solution
! c20 = c20a, c12 = c12a ! x[1] = 13.55008884043414
! c20 = c20a, c12 = c12a ! x[2] = 51.6601778957467
! c20 = c20a, c12 = c12a ! end of best known solution
! c20 = c20a, c12 = c12b ! best known objective = -7.802789471538381
! c20 = c20a, c12 = c12b ! begin of best known solution
! c20 = c20a, c12 = c12b ! x[1] = 13.55014232375912
! c20 = c20a, c12 = c12b ! x[2] = 51.65997398954288
! c20 = c20a, c12 = c12b ! end of best known solution
! c20 = c20b, c12 = c12a ! best known objective = 13.35512839020782
! c20 = c20b, c12 = c12a ! begin of best known solution
! c20 = c20b, c12 = c12a ! x[1] = 12.40643637885028
! c20 = c20b, c12 = c12a ! x[2] = 56.42232617202764
! c20 = c20b, c12 = c12a ! end of best known solution
! c20 = c20b, c12 = c12b ! best known objective = 13.35670821326782
! c20 = c20b, c12 = c12b ! begin of best known solution
! c20 = c20b, c12 = c12b ! x[1] = 12.4064689347364
! c20 = c20b, c12 = c12b ! x[2] = 56.42217811387869
! c20 = c20b, c12 = c12b ! end of best known solution
End Equations
End Model

Stephan K.H. Seidl