tp042.apm

Model tp042
  ! Source version 1

  Variables
    x[1:4] = 1
    obj
  End Variables

  Equations
    x[1] - 2 = 0
    x[3]^2 + x[4]^2 - 2 = 0

    obj = (x[1] - 1)^2 + (x[2] - 2)^2 &
        + (x[3] - 3)^2 + (x[4] - 4)^2

    ! best known objective = 28 - 10*sqrt(2) = 13.85786437626905
    ! begin of best known solution
    ! x[1] = 2
    ! x[2] = 2
    ! x[3] = (3/5)*sqrt(2) = 0.848528137423857
    ! x[4] = (4/5)*sqrt(2) = 1.131370849898476
    ! end of best known solution
  End Equations
End Model