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HS86.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS86
* Problem :
* *********
* Source: problem 86 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: Nick Gould, August 1991.
* classification OLR2-AN-5-10
* Number of variables
IE N 5
* Number of constaints
IE M 10
* Other useful parameters
IE 1 1
* Problem data
RE E1 -15.0
RE E2 -27.0
RE E3 -36.0
RE E4 -18.0
RE E5 -12.0
RE C1,1 30.0
RE C2,1 -20.0
RE C3,1 -10.0
RE C4,1 32.0
RE C5,1 -10.0
RE C1,2 -20.0
RE C2,2 39.0
RE C3,2 -6.0
RE C4,2 -31.0
RE C5,2 32.0
RE C1,3 -10.0
RE C2,3 -6.0
RE C3,3 10.0
RE C4,3 -6.0
RE C5,3 -10.0
RE C1,4 32.0
RE C2,4 -31.0
RE C3,4 -6.0
RE C4,4 39.0
RE C5,4 -20.0
RE C1,5 -10.0
RE C2,5 32.0
RE C3,5 -10.0
RE C4,5 -20.0
RE C5,5 30.0
RE D1 4.0
RE D2 8.0
RE D3 10.0
RE D4 6.0
RE D5 2.0
RE A1,1 -16.0
RE A2,1 0.0
RE A3,1 -3.5
RE A4,1 0.0
RE A5,1 0.0
RE A6,1 2.0
RE A7,1 -1.0
RE A8,1 -1.0
RE A9,1 1.0
RE A10,1 1.0
RE A1,2 2.0
RE A2,2 -2.0
RE A3,2 0.0
RE A4,2 -2.0
RE A5,2 -9.0
RE A6,2 0.0
RE A7,2 -1.0
RE A8,2 -2.0
RE A9,2 2.0
RE A10,2 1.0
RE A1,3 0.0
RE A2,3 0.0
RE A3,3 2.0
RE A4,3 0.0
RE A5,3 -2.0
RE A6,3 -4.0
RE A7,3 -1.0
RE A8,3 -3.0
RE A9,3 3.0
RE A10,3 1.0
RE A1,4 1.0
RE A2,4 4.0
RE A3,4 0.0
RE A4,4 -4.0
RE A5,4 1.0
RE A6,4 0.0
RE A7,4 -1.0
RE A8,4 -2.0
RE A9,4 4.0
RE A10,4 1.0
RE A1,5 0.0
RE A2,5 2.0
RE A3,5 0.0
RE A4,5 -1.0
RE A5,5 -2.8
RE A6,5 0.0
RE A7,5 -1.0
RE A8,5 -1.0
RE A9,5 5.0
RE A10,5 1.0
RE B1 -40.0
RE B2 -2.0
RE B3 -0.25
RE B4 -4.0
RE B5 -4.0
RE B6 -1.0
RE B7 -40.0
RE B8 -60.0
RE B9 5.0
RE B10 1.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO J 1 N
ZN OBJ X(J) E(J)
ND
DO I 1 M
DO J 1 N
ZG C(I) X(J) A(I,J)
ND
CONSTANTS
DO I 1 M
Z HS86 C(I) B(I)
ND
START POINT
HS86 'DEFAULT' 0.0
HS86 X5 1.0
HS86SOL X1 0.3 X2 0.33346761
HS86SOL X3 0.4 X4 0.42831010
HS86SOL X5 0.22396487
ELEMENT TYPE
* CUBE
EV CUBE XJ
* PROD
EV PROD XI XJ
ELEMENT USES
DO J 1 N
XT D(J) CUBE
ZV D(J) XJ X(J)
DO I 1 N
XT C(I,J) PROD
ZV C(I,J) XI X(I)
ZV C(I,J) XJ X(J)
ND
GROUP USES
DO J 1 N
ZE OBJ D(J) D(J)
DO I 1 N
ZE OBJ C(I,J) C(I,J)
ND
OBJECT BOUND
* Solution
*LO SOLTN -32.34867897
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS86
INDIVIDUALS
* Element type CUBE
T CUBE
F XJ * XJ * XJ
G XJ 3.0D+0 * XJ * XJ
H XJ XJ 6.0D+0 * XJ
* Element type PROD
T PROD
F XI * XJ
G XI XJ
G XJ XI
H XI XJ 1.0D+0
ENDATA