HS72.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS72

*   Problem :
*   *********

*   An optimal sample sizing problem.

*   Source: problem 72 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: A.R. Conn, March 1990.

*   classification LOR2-MN-4-2

VARIABLES

    X1
    X2
    X3
    X4

GROUPS

 N  F         X1         1.0           X2        1.0
 N  F         X3         1.0           X4        1.0

 G  CON1
 G  CON2

CONSTANTS

    HS72      F          -1.0
    HS72      CON1       -0.0401
    HS72      CON2       -0.010085

BOUNDS

 LO HS72      'DEFAULT'  0.001
 UP HS72      X1         4.0D5
 UP HS72      X2         3.0D5
 UP HS72      X3         2.0D5
 UP HS72      X4         1.0D5

START POINT

 V  HS72      'DEFAULT'  1.0

ELEMENT TYPE

 EV 1/X       X

ELEMENT USES

 T  E1        1/X
 V  E1        X                        X1
 T  E2        1/X
 V  E2        X                        X2
 T  E3        1/X
 V  E3        X                        X3
 T  E4        1/X
 V  E4        X                        X4

GROUP USES

 E  CON1      E1        -4.0           E2        -2.25
 E  CON1      E3        -1.0           E4        -0.25

 E  CON2      E1        -0.16          E2        -0.36
 E  CON2      E3        -0.64          E4        -0.64

OBJECT BOUND

*   Solution

*LO SOLTN               727.5888453

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS72

INDIVIDUALS

 T  1/X

 F                      1.0/X

 G  X                   -1.0/X**2

 H  X         X         2.0/X**3

ENDATA