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HS107.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS107
* Problem :
* *********
* A static power scheduling problem.
* There are note enough components for the starting point in the
* problem description in the source. The initial value for X7 has
* been set to 1.0454, as for X5 and X6.
* Source: problem 107 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: Ph. Toint, April 1991.
* classification OOR2-MY-9-6
* Problem data
RE TMP 50.176
RD FACT TMP 48.4
RF SIN1/4 SIN 0.25
R* C FACT SIN1/4
RF COS1/4 COS 0.25
R* D FACT COS1/4
RM -C C -1.0
RM -D D -1.0
RM 2C C 2.0
RM 2D D 2.0
* Constants
IE 1 1
IE 9 9
VARIABLES
DO I 1 9
X X(I)
ND
GROUPS
N OBJ X1 3000.0 X2 2000.0
E C1 X1 -1.0
E C2 X2 -1.0
E C3
E C4 X3 -1.0
E C5 X4 -1.0
E C6
CONSTANTS
X HS107 C1 -0.4
X HS107 C2 -0.4
X HS107 C3 -0.8
X HS107 C4 -0.2
X HS107 C5 -0.2
X HS107 C6 0.337
BOUNDS
FR HS107 'DEFAULT'
XL HS107 X1 0.0
XL HS107 X2 0.0
XL HS107 X5 0.90909
XL HS107 X6 0.90909
XL HS107 X7 0.90909
XU HS107 X5 1.09090
XU HS107 X6 1.09090
XU HS107 X7 1.09090
START POINT
XV HS107 X1 0.8
XV HS107 X2 0.8
XV HS107 X3 0.2
XV HS107 X4 0.2
XV HS107 X5 1.0454
XV HS107 X6 1.0454
XV HS107 X7 1.0454
XV HS107 X8 0.0
XV HS107 X9 0.0
ELEMENT TYPE
EV SQ X
EV CB X
EV XYP X Y
EV XYP Z
EP XYP A B
EV XYPI X Y
EV XYPI Z1 Z2
EP XYPI A B
IV XYPI XX YY
IV XYPI ZZ
ELEMENT USES
T X1CB CB
V X1CB X X1
T X2CB CB
V X2CB X X2
T X5SQ SQ
V X5SQ X X5
T X6SQ SQ
V X6SQ X X6
T X7SQ SQ
V X7SQ X X7
T E1 XYP
V E1 X X5
V E1 Y X6
V E1 Z X8
ZP E1 A D
ZP E1 B C
T E2 XYP
V E2 X X5
V E2 Y X7
V E2 Z X9
ZP E2 A D
ZP E2 B C
T E3 XYP
V E3 X X5
V E3 Y X6
V E3 Z X8
ZP E3 A D
ZP E3 B -C
T E4 XYPI
V E4 X X6
V E4 Y X7
V E4 Z1 X8
V E4 Z2 X9
ZP E4 A D
ZP E4 B -C
T E5 XYP
V E5 X X5
V E5 Y X7
V E5 Z X9
ZP E5 A D
ZP E5 B -C
T E6 XYPI
V E6 X X6
V E6 Y X7
V E6 Z1 X8
V E6 Z2 X9
ZP E6 A D
ZP E6 B C
T E7 XYP
V E7 X X5
V E7 Y X6
V E7 Z X8
ZP E7 A C
ZP E7 B -D
T E8 XYP
V E8 X X5
V E8 Y X7
V E8 Z X9
ZP E8 A C
ZP E8 B -D
T E9 XYP
V E9 X X5
V E9 Y X6
V E9 Z X8
ZP E9 A C
ZP E9 B D
T E10 XYPI
V E10 X X6
V E10 Y X7
V E10 Z1 X8
V E10 Z2 X9
ZP E10 A C
ZP E10 B D
T E11 XYP
V E11 X X5
V E11 Y X7
V E11 Z X9
ZP E11 A C
ZP E11 B D
T E12 XYPI
V E12 X X6
V E12 Y X7
V E12 Z1 X8
V E12 Z2 X9
ZP E12 A C
ZP E12 B -D
GROUP USES
XE OBJ X1CB 1000.0 X2CB 666.667
ZE C1 X5SQ 2C
XE C1 E1 -1.0 E2 -1.0
ZE C2 X6SQ 2C
XE C2 E3 1.0 E4 1.0
ZE C3 X7SQ 2C
XE C3 E5 1.0 E6 -1.0
ZE C4 X5SQ 2D
XE C4 E7 1.0 E8 1.0
ZE C5 X6SQ 2D
XE C5 E9 -1.0 E10 -1.0
ZE C6 X7SQ 2D
XE C6 E11 -1.0 E12 1.0
OBJECT BOUND
* Solution
*LO SOLTN 5055.011803
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS107
TEMPORARIES
R SNZ
R CSZ
R FZ
R DFZ
M SIN
M COS
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T CB
F X**3
G X 3.0 * X**2
H X X 6.0 * X
T XYP
A SNZ SIN( Z )
A CSZ COS( Z )
A FZ A * SNZ + B * CSZ
A DFZ A * CSZ - B * SNZ
F X * Y * FZ
G X Y * FZ
G Y X * FZ
G Z X * Y * DFZ
H X Y FZ
H X Z Y * DFZ
H Y Z X * DFZ
H Z Z - X * Y * FZ
T XYPI
R XX X 1.0
R YY Y 1.0
R ZZ Z1 1.0 Z2 -1.0
A SNZ SIN( ZZ )
A CSZ COS( ZZ )
A FZ A * SNZ + B * CSZ
A DFZ A * CSZ - B * SNZ
F XX * YY * FZ
G XX YY * FZ
G YY XX * FZ
G ZZ XX * YY * DFZ
H XX YY FZ
H XX ZZ YY * DFZ
H YY ZZ XX * DFZ
H ZZ ZZ - XX * YY * FZ
ENDATA