MESTRADO EM MODELAGEM COMPUTACIONAL DE CONHECIMENTO
|
        |
GAMS Rev
116 Windows NT/95/98
10/22/04 15:15:41 PAGE
1 O Problema das Ligas Metalicas Enunciado 5 6 variables 7 l1 liga de baixa resistencia 8 l2 liga de alta resistencia 9 z funcao objetivo; 10 11 equations 12 q1 cobre 13 q2 zinco 14 q3 chumbo 15 q4 funcao objetivo 16 q5 L1 17 q6 L2; 18 19 q1.. 0.5*l1+0.2*l2=l=16; 20 q2.. 0.25*l1+0.3*l2=l=11; 21 q3.. 0.25*l1+0.5*l2=l=15; 22 q4.. 3000*l1+5000*l2=e=z; 23
q5.. l1=g=0;
24 q6.. l2=g=0;
25
26 option lp=XA;
27
28 model LigasMetalica /all/;
29
30 solve LigasMetalica using
lp maximized z;
31
32
33
34
35 COMPILATION
TIME =
0.010 SECONDS 0.7
Mb WIN194-116 GAMS Rev
116 Windows NT/95/98
10/22/04 15:15:41 PAGE
2 O Problema das Ligas Metalicas Equation
Listing SOLVE
LigasMetalica USING LP FROM LINE 30 ---- q1 =L= cobre q1.. 0.5*l1 + 0.2*l2 =L= 16 ; (LHS = 0) ---- q2 =L= zinco q2.. 0.25*l1 + 0.3*l2 =L= 11 ; (LHS = 0) ---- q3 =L= chumbo q3.. 0.25*l1 + 0.5*l2 =L= 15 ; (LHS = 0) ---- q4 =E= funcao objetivo q4.. 3000*l1 + 5000*l2 - z =E= 0 ; (LHS = 0) ---- q5
=G= L1 q5..
l1 =G= 0 ; (LHS = 0) ---- q6
=G= L2 q6..
l2 =G= 0 ; (LHS = 0) GAMS Rev
116 Windows NT/95/98
10/22/04 15:15:41 PAGE
3 O Problema das Ligas Metalicas Column
Listing SOLVE
LigasMetalica USING LP FROM LINE 30 ---- l1 liga de baixa resistencia l1
(.LO, .L, .UP = -INF, 0, +INF)
0.5 q1
0.25 q2
0.25 q3
3000 q4
1 q5 ---- l2
liga de alta l2
(.LO, .L, .UP = -INF, 0, +INF)
0.2 q1
0.3 q2
0.5 q3
5000 q4
1 q6 ---- z
funcao objetivo z
(.LO, .L, .UP = -INF, 0, +INF)
-1 q4 GAMS Rev
116 Windows NT/95/98
10/22/04 15:15:41 PAGE
4 O Problema das Ligas Metalicas Model
Statistics SOLVE
LigasMetalica USING LP FROM LINE 30 MODEL
STATISTICS BLOCKS
OF EQUATIONS 6
SINGLE EQUATIONS
6 BLOCKS
OF VARIABLES 3
SINGLE VARIABLES
3 NON ZERO
ELEMENTS
11 GENERATION
TIME =
0.070 SECONDS 1.4
Mb WIN194-116 EXECUTION
TIME =
0.090 SECONDS 1.4
Mb WIN194-116 GAMS Rev
116 Windows NT/95/98
10/22/04 15:15:41 PAGE
5 O Problema das Ligas Metalicas S O L V E S U M M A R Y MODEL LigasMetalica OBJECTIVE z TYPE
LP
DIRECTION MAXIMIZE
SOLVER XA
FROM LINE 30 ****
SOLVER STATUS 1 ****
MODEL STATUS 1
OPTIMAL ****
OBJECTIVE VALUE
160000.0000 RESOURCE
USAGE, LIMIT
0.060 1000.000 ITERATION
COUNT, LIMIT
2
10000 GAMS/XA
Aug 7, 2000 WIN.XA.XA 19.4
008.015.038.WAT Memory
estimate (computed): 0.50MB
Copyright (c) 1993,94,95,96,97,98,99 by SUNSET SOFTWARE TECHNOLOGY.
San Marino, California 91108
U.S.A.
All Rights Reserved Worldwide.
Telephone 626-441-1565 FAX
626-441-1567
EMAIL: [email protected]
http://www.sunsetsoft.com Licensed
Solely To: GAMS DEVELOPMENT CORPORATION - 934001
STATISTICS
- gams Fri Oct 22 15:15:42 2004
xa VERSION 12.00 NT DLL USABLE
MEMORY 504K BYTES
ENV ID 1 SOLVE NUMBER 1
VARIABLES 3
0 LOWER, 0 FIXED, 0 UPPER, 3 FREE, 0 RANGED
CONSTRAINTS 7
2 GE, 1 EQ, 3 LE, 1 NULL/FREE, 0 RANGED.
12 NON-ZEROS WORK 42,752
MAXIMIZATION.
LOWER LEVEL
UPPER MARGINAL ---- EQU q1 -INF 14.000 16.000 . ---- EQU q2 -INF 11.000 11.000 5000.000 ---- EQU q3 -INF 15.000 15.000 7000.000 ---- EQU q4 . . . -1.000 ---- EQU q5 . 20.000 +INF . ---- EQU q6 . 20.000 +INF . q1 cobre q2 zinco q3 chumbo q4 funcao objetivo q5 L1 q6 L2 GAMS Rev 116 Windows NT/95/98 10/22/04 15:15:41 PAGE 6 O Problema das Ligas Metalicas
LOWER
LEVEL UPPER
MARGINAL ---- VAR l1 -INF 20.000 +INF . ---- VAR l2 -INF 20.000 +INF . ---- VAR z -INF 1.6000E+5 +INF . l1 liga de baixa resistencia l2
liga de alta resistencia
z funcao objetivo ****
REPORT SUMMARY :
0 NONOPT
0 INFEASIBLE
0 UNBOUNDED 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\MEUS DOCUMENTOS\FABIO\EXEMPLO 1 CAP2.GMS OUTPUT C:\GRUPO PESQUISA - D.K.P\EXEMPLO 1 CAP2.LST |