### tp029r.apm.m4

Model tp029r
! 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 the solution becomes unique.
ifdef(`revisedhs',`define(`stricths',0)',`define(`stricths',1)')
Variables
x[1] = 1 ifelse(stricths,1,`',`, >= 0')
x[2] = 1 ifelse(stricths,1,`',`, >= 0')
x[3] = 1
obj
End Variables
Equations
(-1)*x[1]^2 - 2*x[2]^2 - 4*x[3]^2 + 48 >= 0
obj = -x[1]*x[2]*x[3]
! best known objective = -16*sqrt(2) = -22.62741699796952
! begin of best known solution belonging to the revised case
! x[1] = 4
! x[2] = 2*sqrt(2) = 2.82842712474619
! x[3] = 2
! end of best known solution belonging to the revised case
End Equations
End Model

Stephan K.H. Seidl