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ROSENMMX.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME ROSENMMX
* Problem :
* *********
* A nonlinear minmax problem in four variables by Rosen.
* Source:
* M.M. Makela,
* "Nonsmooth optimization",
* Ph.D. thesis, Jyvaskyla University, 1990
* SIF input: Ph. Toint, Nov 1993.
* classification LQR2-AN-5-4
VARIABLES
X1
X2
X3
X4
U
GROUPS
XN OBJ U 1.0
XL F1 U -1.0
XL F1 X1 -5.0 X2 -5.0
XL F1 X3 -21.0 X4 7.0
XL F2 U -1.0
XL F2 X1 5.0 X2 -15.0
XL F2 X3 -11.0 X4 -3.0
XL F3 U -1.0
XL F3 X1 -15.0 X2 -5.0
XL F3 X3 -21.0 X4 -3.0
XL F4 U -1.0
XL F4 X1 15.0 X2 -15.0
XL F4 X3 -21.0 X4 -3.0
CONSTANTS
ROSENMMX F2 80.0
ROSENMMX F3 100.0
ROSENMMX F4 50.0
BOUNDS
* All variables are free
FR ROSENMMX 'DEFAULT'
ELEMENT TYPE
EV SQ V
ELEMENT USES
T X1SQ SQ
V X1SQ V X1
T X2SQ SQ
V X2SQ V X2
T X3SQ SQ
V X3SQ V X3
T X4SQ SQ
V X4SQ V X4
GROUP USES
E F1 X1SQ X2SQ
E F1 X3SQ 2.0 X4SQ
E F2 X1SQ 11.0 X2SQ 11.0
E F2 X3SQ 12.0 X4SQ 11.0
E F3 X1SQ 11.0 X2SQ 21.0
E F3 X3SQ 12.0 X4SQ 21.0
E F4 X1SQ 11.0 X2SQ 11.0
E F4 X3SQ 12.0 X4SQ
OBJECT BOUND
* Solution
*LO SOLTN -44.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS ROSENMMX
INDIVIDUALS
T SQ
F V * V
G V V + V
H V V 2.0
ENDATA