### tp054v3.apm

Model tp054v3
! Source version 1
! Poor man's formulation of #54.
! The variables have been linearly transformed.
! Furthermore, -exp(-(...)/2) has been replaced by (...), and,
! finally, the equality constraint has been multiplied by 10^(-3).
Variables
x[1] = -1/2, >= -5/4, <= 5/4
x[2] = 1/2, >= -11, <= 9
x[3] = 2/7, >= -2/7, <= 8/7
x[4] = -4/25, >= -1/5, <= 1/5
x[5] = 1/25, >= -1001/50, <= 999/50
x[6] = -1/10, >= -1/5, <= 1/5
obj
End Variables
Intermediates
h1 = (x[1]^2 + x[1]*x[2]*2/5 + x[2]^2)*25/24
h2 = x[3]^2 + x[4]^2 + x[5]^2 + x[6]^2
mf = h1 + h2
End Intermediates
Equations
8*x[1] + 4*x[2] - 18/5 = 0
obj = mf
! best known objective = 27/140 = 0.1928571428571429
! begin of best known solution
! x[1] = 27/70 = 0.3857142857142857
! x[2] = 9/70 = 0.1285714285714286
! x[3] = 0
! x[4] = 0
! x[5] = 0
! x[6] = 0
! end of best known solution
End Equations
End Model

Stephan K.H. Seidl