tp075.apm

Model tp075
  ! Source version 1

  Parameters
    a = 0.48
    c3 = 3
    l[1] =    0
    l[2] =    0
    l[3] =   -a
    l[4] =   -a
    u[1] = 1200
    u[2] = 1200
    u[3] =    a
    u[4] =    a
  End Parameters

  Variables
    x[1:4] = 0, >= l[1:4], <= u[1:4]
    obj
  End Variables

  Equations
    x[4] - x[3] + a >= 0
    x[3] - x[4] + a >= 0
    1000*sin((-1)*x[3] - 0.25) + &
    1000*sin((-1)*x[4] - 0.25) + 894.8 - x[1] = 0
    1000*sin(x[3] - 0.25) + &
    1000*sin(x[3] - x[4] - 0.25) + 894.8 - x[2] = 0
    1000*sin(x[4] - 0.25) + &
    1000*sin(x[4] - x[3] - 0.25) + 1294.8 = 0

    obj = 3*x[1] + 1.0e-6*x[1]^3 + 2*x[2] + 2.0e-6*x[2]^3/c3

    ! best known objective = 5174.412695377741
    ! begin of best known solution
    ! x[1] = 776.1590265860596
    ! x[2] = 925.1951384690918
    ! x[3] =   0.05110892853835123
    ! x[4] =  -0.4288910714616488
    ! end of best known solution
  End Equations
End Model