MESTRADO EM MODELAGEM COMPUTACIONAL DE CONHECIMENTO

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      1

o problema de pnl irrestrita

      Este problema de programacao nao linear irrestrita, busca resolver uma  situacao

      problema, atraves de um exemplo, que possa otimizar uma funcao sem restricoes.

      Para implementar empregamos um pacote  de otimizacao matematica chamado GAMS.

   7  variables

   8  x1

   9  x2

  10  z funcao objetivo;

  11

  12  equation

  13  q1 funcao objetivo;

  14  *q2 x1

  15  *q3 x2;

  16

  17  q1.. x1*x1 + x2*x2 =e=z;

  18  *q2.. x1 =g=0;

  19  *q3.. x2 =g=0;

  20

  21  option NLP=CONOPT2;

  22  model pnlirrestrita /all/;

  23  solve pnlirrestrita using NLP minimizing z;

COMPILATION TIME     =        0.000 SECONDS    0.7 Mb      WIN194-116

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      2

o problema de pnl irrestrita

Equation Listing    SOLVE pnlirrestrita USING NLP FROM LINE 23

---- q1  =E=  funcao objetivo

q1..  (0)*x1 + (0)*x2 - z =E= 0 ; (LHS = 0)

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      3

o problema de pnl irrestrita

Column Listing      SOLVE pnlirrestrita USING NLP FROM LINE 23

---- x1

x1

                (.LO, .L, .UP = -INF, 0, +INF)

       (0)      q1

---- x2

x2

                (.LO, .L, .UP = -INF, 0, +INF)

       (0)      q1

---- z  funcao objetivo

z

                (.LO, .L, .UP = -INF, 0, +INF)

       -1       q1

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      4

o problema de pnl irrestrita

Model Statistics    SOLVE pnlirrestrita USING NLP FROM LINE 23

MODEL STATISTICS

BLOCKS OF EQUATIONS       1     SINGLE EQUATIONS        1

BLOCKS OF VARIABLES       3     SINGLE VARIABLES        3

NON ZERO ELEMENTS         3     NON LINEAR N-Z          2

DERIVATIVE POOL           6     CONSTANT POOL           0

CODE LENGTH              26

GENERATION TIME      =        0.060 SECONDS    1.9 Mb      WIN194-116

EXECUTION TIME       =        0.060 SECONDS    1.9 Mb      WIN194-116

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      5

o problema de pnl irrestrita

               S O L V E      S U M M A R Y

     MODEL   pnlirrestrita       OBJECTIVE  z

     TYPE    NLP                 DIRECTION  MINIMIZE

     SOLVER  CONOPT2             FROM LINE  23

**** SOLVER STATUS     1 NORMAL COMPLETION

**** MODEL STATUS      2 LOCALLY OPTIMAL

**** OBJECTIVE VALUE                0.0000

 RESOURCE USAGE, LIMIT          0.102     1000.000

 ITERATION COUNT, LIMIT         3        10000

 EVALUATION ERRORS              0            0

    C O N O P T 2   Wintel  version 2.071D-005-039

    Copyright (C)   ARKI Consulting and Development A/S

                    Bagsvaerdvej 246 A

                    DK-2880 Bagsvaerd , Denmark

 Using default control program.

 ** Optimal solution. Reduced gradient less than tolerance.

 CONOPT time Total                       0.070 seconds

   of which: Function evaluations        0.000 =  0.0%

             Derivative evaluations      0.000 =  0.0%

 Work length =    0.05 Mbytes

    Estimate =    0.05 Mbytes

    Max used =    0.04 Mbytes

                       LOWER     LEVEL     UPPER    MARGINAL

---- EQU q1              .         .         .       -1.000

  q1  funcao objetivo

                       LOWER     LEVEL     UPPER    MARGINAL

---- VAR x1             -INF       .        +INF       EPS

---- VAR x2             -INF       .        +INF       EPS

---- VAR z              -INF       .        +INF       .

  x1

  x2

  z  funcao objetivo

**** REPORT SUMMARY :        0     NONOPT

                             0 INFEASIBLE

                             0  UNBOUNDED

                             0     ERRORS

GAMS Rev 116  Windows NT/95/98                    11/03/04 09:42:02  PAGE      6

o problema de pnl irrestrita

EXECUTION TIME       =        0.000 SECONDS    0.7 Mb      WIN194-116

USER: Joao Inacio Soletti                            G000920:1631AP-WIN

      Universidade Federal de Alagoas, Departamento de EngenhariaDC2982

**** FILE SUMMARY

INPUT      C:\DOCUMENTS AND SETTINGS\ADMINISTRADOR\DESKTOP\ALLAN\TESTE.GMS

OUTPUT     C:\DOCUMENTS AND SETTINGS\ADMINISTRADOR\DESKTOP\ALLAN\TESTE.LST