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HART6.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HART6
* Problem :
* *********
* Source: Hartman problem 6 in
* L. C. W. Dixon and G. P. Szego (Eds.)
* Towards Global Optimization
* North Holland, 1975.
* Paper 9, page 163.
* SIF input: A.R. Conn May 1995
* classification OBR2-AN-6-0
* Number of variables - constraints
IE N 6
* Other useful parameters
IE 1 1
IE ONE 1
IE NN 6
IE L 4
* Problem data
RE C1 1.0
RE C2 1.2
RE C3 3.0
RE C4 3.2
RE A1,1 10.0
RE A2,1 0.05
RE A3,1 3.0
RE A4,1 17.0
RE A1,2 0.05
RE A2,2 10.0
RE A3,2 3.5
RE A4,2 8.0
RE A1,3 17.0
RE A2,3 17.0
RE A3,3 1.7
RE A4,3 0.05
RE A1,4 3.5
RE A2,4 0.1
RE A3,4 10.0
RE A4,4 10.0
RE A1,5 1.7
RE A2,5 8.0
RE A3,5 17.0
RE A4,5 0.1
RE A1,6 8.0
RE A2,6 14.0
RE A3,6 8.0
RE A4,6 14.0
RE P1,1 0.1312
RE P2,1 0.2329
RE P3,1 0.2348
RE P4,1 0.4047
RE P1,2 0.1696
RE P2,2 0.4135
RE P3,2 0.1451
RE P4,2 0.8828
RE P1,3 0.5569
RE P2,3 0.8307
RE P3,3 0.3522
RE P4,3 0.8732
RE P1,4 0.0124
RE P2,4 0.3736
RE P3,4 0.2883
RE P4,4 0.5743
RE P1,5 0.8283
RE P2,5 0.1004
RE P3,5 0.3047
RE P4,5 0.1091
RE P1,6 0.5886
RE P2,6 0.9991
RE P3,6 0.6650
RE P4,6 0.0381
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 L
XN OBJ(I)
XN OBJ(I) 'SCALE' -1.0
ND
BOUNDS
XL HART6 'DEFAULT' 0.0
XU HART6 'DEFAULT' 1.0
START POINT
XV HART6 'DEFAULT' 0.2
*XV HART6 X1 0.201661
*XV HART6 X2 0.149985
*XV HART6 X3 0.476919
*XV HART6 X4 0.275317
*XV HART6 X5 0.311688
*XV HART6 X6 0.657283
*XV HART6 X1 0.4046
*XV HART6 X2 0.8824
*XV HART6 X3 0.7943
*XV HART6 X4 0.5738
*XV HART6 X5 0.1483
*XV HART6 X6 0.0387
ELEMENT TYPE
EV SQ V1
EP SQ PIJ
ELEMENT USES
DO I 1 L
DO J 1 NN
XT E(I,J) SQ
ZV E(I,J) V1 X(J)
ZP E(I,J) PIJ P(I,J)
ND
GROUP TYPE
GV NEXP ALPHA
GP NEXP CI
GROUP USES
DO I 1 L
XT OBJ(I) NEXP
DO J 1 NN
ZE OBJ(I) E(I,J) A(I,J)
OD
ZP OBJ(I) CI C(I)
OD
OBJECT BOUND
* Solution
*LO SOLTN -3.32288689158
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HART6
INDIVIDUALS
T SQ
F (V1 - PIJ)*(V1 - PIJ)
G V1 2.0*(V1 - PIJ)
H V1 V1 2.0
ENDATA
GROUPS HART6
TEMPORARIES
M EXP
INDIVIDUALS
* group type nexp
T NEXP
F CI*EXP( -ALPHA )
G - CI*EXP( -ALPHA )
H CI*EXP( -ALPHA )
ENDATA