tp111.apm

Model tp111
  ! Source version 1

  Parameters
    c[ 1] =  -6.089
    c[ 2] = -17.164
    c[ 3] = -34.054
    c[ 4] =  -5.914
    c[ 5] = -24.721
    c[ 6] = -14.986
    c[ 7] = -24.100
    c[ 8] = -10.708
    c[ 9] = -26.662
    c[10] = -22.179
    si[0] = 0
    so[0] = 0
  End Parameters

  Variables
    x[1:10] = -2.3, >= -100, <= 100
    obj
  End Variables

  Intermediates
    cf[1] = exp(x[1]) + 2*exp(x[2]) + 2*exp(x[3]) &
          + exp(x[6]) + exp(x[10]) - 2
    cf[2] = exp(x[4]) + 2*exp(x[5]) + exp(x[6])   &
          + exp(x[7]) - 1
    cf[3] = exp(x[3]) + exp(x[7]) + exp(x[8])     &
          + 2*exp(x[9]) + exp(x[10]) - 1
    si[1:10] = si[0:9] + exp(x[1:10])
    aux = log(si[10])
    so[1:10] = so[0:9] &
             + exp(x[1:10])*(c[1:10] + x[1:10] - aux)
    mf = so[10]
  End Intermediates

  Equations
    cf[1:3] = 0

    obj = mf

    ! best known objective = -47.76109085936586
    ! begin of best known solution
    ! x[ 1] = -3.202311588551215
    ! x[ 2] = -1.912366597080981
    ! x[ 3] = -0.2444267477503837
    ! x[ 4] = -6.561177271658377
    ! x[ 5] = -0.7230979632953046
    ! x[ 6] = -7.27423228018815
    ! x[ 7] = -3.59723742232778
    ! x[ 8] = -4.020316730690851
    ! x[ 9] = -3.288376881360255
    ! x[10] = -2.334371739220618
    ! end of best known solution
  End Equations
End Model