### tp047r.apm.m4

Model tp047r
! Source version 1
! The present file has to be drawn through the m4 macro processor
! at first, with or without `-Drevisedhs'. With the macro
! defined, the feasible domain is reduced in comparison with the H+S
! one such that some unwanted secondary minimum is excluded.
ifdef(`revisedhs',`define(`stricths',0)',`define(`stricths',1)')
Parameters
lbx5 = 6/5
End Parameters
Variables
x[1] = 2
x[2] = sqrt(2)
x[3] = -1
x[4] = 2 - sqrt(2)
x[5] = 1/2 ifelse(stricths,1,`',`, >= lbx5')
obj
End Variables
Equations
x[1] + x[2]^2 + x[3]^3 - 3 = 0
x[2] - x[3]^2 + x[4] - 1 = 0
x[1]*x[5] - 1 = 0
obj = (x[1] - x[2])^2 + (x[2] - x[3])^3 &
+ (x[3] - x[4])^4 + (x[4] - x[5])^4
! best known objective = -0.02671418269394084
! begin of best known solution belonging to the revised case
! x[1] = 0.6770043948666402
! x[2] = 0.726089472652032
! x[3] = 1.215491214237097
! x[4] = 1.751329419235542
! x[5] = 1.477095285617732
! end of best known solution belonging to the revised case
End Equations
End Model

Stephan K.H. Seidl