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GPP.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME GPP
* Problem :
* *********
* Example of a geometric programming problem.
* Source:
* Hans Mittelmann, private communication.
* SIF input: N. Gould, Jan 1998
* classification OOR2-AY-V-V
* number of variables
*IE N 250 $-PARAMETER original value
*IE N 500 $-PARAMETER
*IE N 750 $-PARAMETER
IE N 1000 $-PARAMETER
*IE N 1250 $-PARAMETER
*IE N 1750 $-PARAMETER
*IE N 2000 $-PARAMETER
* other parameter definitions
IE 1 1
IA N-1 N -1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* objective function
N OBJ
* constraints
DO I 1 N-1
IA I+1 I 1
XG INEQ1(I) X(I) 1.0 X(I+1) 1.0
XL INEQ2(I)
OD
RHS
DO I 1 N-1
X GPP INEQ2(I) 20.0
OD
BOUNDS
FR GPP 'DEFAULT'
START POINT
XV GPP 'DEFAULT' 1.0
ELEMENT TYPE
EV EXP X
EV EXPDIF XI
EV EXPDIF XJ
IV EXPDIF X
ELEMENT USES
DO I 1 N
XT E(I) EXP
ZV E(I) X X(I)
ND
DO I 1 N-1
IA I+1 I 1
DO J I+1 N
XT E(I,J) EXPDIF
ZV E(I,J) XI X(I)
ZV E(I,J) XJ X(J)
ND
GROUP USES
DO I 1 N-1
IA I+1 I 1
XE INEQ2(I) E(I) E(I+1)
DO J I+1 N
XE OBJ E(I,J)
ND
OBJECT BOUND
* Solution
*XL SOLUTION 1.44009D+04 $ (N=250)
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS GPP
TEMPORARIES
R E
M EXP
INDIVIDUALS
T EXP
A E EXP( X )
F E
G X E
H X X E
T EXPDIF
R X XI -1.0 XJ 1.0
A E EXP( X )
F E
G X E
H X X E
ENDATA