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HS118.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS118
* Problem :
* *********
* Source: problem 118 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 Baudson, Jan 1990.
* classification QLR2-AN-15-17
* Other useful parameters
IE 0 0
IE 1 1
IE 4 4
IE 8 8
IE 12 12
IE 15 15
VARIABLES
DO I 1 15
X X(I)
ND
GROUPS
* Objective function
DO K 0 4
IM 3K K 3
IA 3K+1 3K 1
IA 3K+2 3K 2
IA 3K+3 3K 3
XN OBJ X(3K+1) 2.3 X(3K+2) 1.7
XN OBJ X(3K+3) 2.2
ND
* Constraints
DO K 1 4
IM 3K K 3
IA 3K+1 3K 1
IA 3K+2 3K 2
IA 3K+3 3K 3
IA 3K-2 3K -2
IA 3K-1 3K -1
XG A(K) X(3K+1) 1.0 X(3K-2) -1.0
XG B(K) X(3K+3) 1.0 X(3K) -1.0
XG C(K) X(3K+2) 1.0 X(3K-1) -1.0
ND
G D1 X1 1.0 X2 1.0
G D1 X3 1.0
G D2 X4 1.0 X5 1.0
G D2 X6 1.0
G D3 X7 1.0 X8 1.0
G D3 X9 1.0
G D4 X10 1.0 X11 1.0
G D4 X12 1.0
G D5 X13 1.0 X14 1.0
G D5 X15 1.0
CONSTANTS
DO K 1 4
X HS118 A(K) -7.0
X HS118 B(K) -7.0
X HS118 C(K) -7.0
ND
HS118 D1 60.0
HS118 D2 50.0
HS118 D3 70.0
HS118 D4 85.0
HS118 D5 100.0
RANGES
DO K 1 4
X HS118 A(K) 13.0
X HS118 B(K) 13.0
X HS118 C(K) 14.0
ND
BOUNDS
XL HS118 'DEFAULT' 0.0
LO HS118 X1 8.0
UP HS118 X1 21.0
LO HS118 X2 43.0
UP HS118 X2 57.0
LO HS118 X3 3.0
UP HS118 X3 16.0
DO K 1 4
IM 3K K 3
IA 3K+1 3K 1
IA 3K+2 3K 2
IA 3K+3 3K 3
XU HS118 X(3K+1) 90.0
XU HS118 X(3K+2) 120.0
XU HS118 X(3K+3) 60.0
ND
START POINT
XV HS118 'DEFAULT' 20.0
HS118 X2 55.0
HS118 X3 15.0
HS118 X5 60.0
HS118 X8 60.0
HS118 X11 60.0
HS118 X14 60.0
ELEMENT TYPE
EV SQ X
ELEMENT USES
DO I 1 15
XT E(I) SQ
ZV E(I) X X(I)
ND
GROUP USES
DO K 0 4
IM 3K K 3
IA 3K+1 3K 1
IA 3K+2 3K 2
IA 3K+3 3K 3
XE OBJ E(3K+1) 0.0001 E(3K+2) 0.0001
XE OBJ E(3K+3) 0.00015
ND
OBJECT BOUND
* Solution
*LO SOLTN 664.82045
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS118
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
ENDATA