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HS116.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS116
* Problem :
* *******
* A 3 stage membrane separation model
* Source: problem 116 in
* W. Hock and K. Schittkowski,
* "Test examples for nonlinear programming codes",
* Lectures Notes in Economics and Mathematical Systems 187, Springer
* Verlag, Heidelberg, 1981.
* SIF input: B. Debarsy, Feb 1990.
* classification LQR2-MN-13-14
* Number of variables
IE N 13
* Useful parameter
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective function
N OBJ X11 1.0 X12 1.0
N OBJ X13 1.0
* Constraint functions
G C1 X3 1.0 X2 -1.0
G C2 X2 1.0 X1 -1.0
G C3 X7 -0.002 X8 0.002
G C4 X11 1.0 X12 1.0
G C4 X13 1.0
G C5 X13 1.0 X10 -1.262626
G C6 X5 1.0 X2 -0.03475
G C7 X6 1.0 X3 -0.03475
G C8
G C9 X5 -1.0 X6 -1.0
G C10 X2 -500.0 X6 500.0
G C11 X2 1.0
G C12 X4 1.0 X1 -0.03475
G C13 X11 1.0 X8 -1.262626
G C14 X12 1.0 X9 -1.262626
CONSTANTS
HS116 C3 -1.0
HS116 C4 50.0
HS116 C9 -1.0
HS116 C11 0.9
RANGES
HS116 C4 200.0
BOUNDS
XL HS116 'DEFAULT' 0.1
UP HS116 X1 1.0
UP HS116 X2 1.0
UP HS116 X3 1.0
LO HS116 X4 0.0001
UP HS116 X4 0.1
UP HS116 X5 0.9
UP HS116 X6 0.9
UP HS116 X7 1000.0
UP HS116 X8 1000.0
LO HS116 X9 500.0
UP HS116 X9 1000.0
UP HS116 X10 500.0
LO HS116 X11 1.0
UP HS116 X11 150.0
LO HS116 X12 0.0001
UP HS116 X12 150.0
LO HS116 X13 0.0001
UP HS116 X13 150.0
START POINT
HS116 X1 0.5 X2 0.8
HS116 X3 0.9 X4 0.1
HS116 X5 0.14 X6 0.5
HS116 X7 489.0 X8 80.0
HS116 X9 650.0 X10 450.0
HS116 X11 150.0 X12 150.0
HS116 X13 150.0
ELEMENT TYPE
EV SQ X
EV 2PR X Y
ELEMENT USES
T E1 2PR
V E1 X X3
V E1 Y X10
T E2 2PR
V E2 X X2
V E2 Y X5
T E3 SQ
V E3 X X2
T E4 2PR
V E4 X X3
V E4 Y X6
T E5 SQ
V E5 X X3
T E6 2PR
V E6 X X5
V E6 Y X7
T E7 2PR
V E7 X X1
V E7 Y X8
T E8 2PR
V E8 X X4
V E8 Y X7
T E9 2PR
V E9 X X4
V E9 Y X8
T E10 2PR
V E10 X X2
V E10 Y X9
T E11 2PR
V E11 X X5
V E11 Y X8
T E12 2PR
V E12 X X1
V E12 Y X8
T E13 2PR
V E13 X X6
V E13 Y X9
T E14 2PR
V E14 X X2
V E14 Y X9
T E15 2PR
V E15 X X3
V E15 Y X10
T E16 2PR
V E16 X X6
V E16 Y X9
T E17 2PR
V E17 X X2
V E17 Y X10
T E18 2PR
V E18 X X2
V E18 Y X10
T E19 2PR
V E19 X X3
V E19 Y X10
T E20 2PR
V E20 X X1
V E20 Y X4
T E21 SQ
V E21 X X1
T E22 2PR
V E22 X X1
V E22 Y X8
T E23 2PR
V E23 X X2
V E23 Y X9
GROUP USES
E C5 E1 1.231059
E C6 E2 -0.975 E3 0.00975
E C7 E4 -0.975 E5 0.00975
E C8 E6 E7 -1.0
E C8 E8 -1.0 E9
E C9 E10 -0.002 E11 -0.002
E C9 E12 0.002 E13 0.002
E C10 E14 E15 -1.0
E C10 E16 -1.0 E17
E C11 E18 -0.002 E19 0.002
E C12 E20 -0.975 E21 0.00975
E C13 E22 1.231059
E C14 E23 1.231059
OBJECT BOUND
* Solution
*LO SOLTN 97.588409
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS116
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T 2PR
F X * Y
G X Y
G Y X
H X Y 1.0
ENDATA