-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathq1.lst
357 lines (248 loc) · 11.5 KB
/
q1.lst
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 1
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
C o m p i l a t i o n
2
3 set i /rolls, croissants, bread_loafs/;
4
5 parameters
6 r(i) "revenue [$/item]"
7 /
8 rolls 2
9 croissants 5
10 bread_loafs 10
11 /
12
13 c(i) "cost per item [$/item]"
14 /
15 rolls 1.5
16 croissants 2
17 bread_loafs 5
18 /
19
20 h(i) "time per item [hours/item]"
21 /
22 rolls 1
23 croissants 2
24 bread_loafs 5
25 /
26 ;
27
28 scalar
29 hbar "maximum working hours in a week [hours]"
30 /40/
31 ;
32
33 positive variables X(i) "quantity of baked good i baked [items]";
34
35 variables Z "objective function value";
36
37 equations
38 objfn "target of our optimization",
39 eq_hourlimit "can only work so many hours in a week",
40 eq_combo "rolls production must be greater than or equal to croissant production"
41 ;
42
43 scalar sw_combo "boolean switch to turn on and off the combo constraint (rolls and croissants)" /0/ ;
44
45 objfn.. Z =e= sum(i, (r(i) - c(i)) * X(i) ) ;
46
47 eq_hourlimit.. hbar =g= sum(i, h(i) * X(i) ) ;
48 eq_combo$sw_combo.. X("rolls") =g= X("croissants") ;
49
50 model bakery /all/;
51
52 parameters rep_x, rep_z;
53
54 solve bakery using lp maximizing Z;
55 * adding 0.0000001 so the value still gets exported
56 rep_x(i, "business as usual") = X.l(i) + 0.0000001;
57 rep_z("business as usual") = Z.l;
58
59 sw_combo = 1;
60 solve bakery using lp maximizing Z;
61 * adding 0.0000001 so the value still gets exported
62 rep_x(i, "combo") = X.l(i) + 0.0000001;
63 rep_z("combo") = Z.l;
64
65 execute_unload 'gams-output/bakery.gdx' ;
COMPILATION TIME = 0.000 SECONDS 3 MB 45.4.0 19dc3313 DAX-DAC
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 2
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Equation Listing SOLVE bakery Using LP From line 54
---- objfn =E= target of our optimization
objfn.. - 0.5*X(rolls) - 3*X(croissants) - 5*X(bread_loafs) + Z =E= 0 ; (LHS = 0)
---- eq_hourlimit =G= can only work so many hours in a week
eq_hourlimit.. - X(rolls) - 2*X(croissants) - 5*X(bread_loafs) =G= -40 ; (LHS = 0)
---- eq_combo =G= rolls production must be greater than or equal to croissant production
NONE
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 3
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Column Listing SOLVE bakery Using LP From line 54
---- X quantity of baked good i baked [items]
X(rolls)
(.LO, .L, .UP, .M = 0, 0, +INF, 0)
-0.5 objfn
-1 eq_hourlimit
X(croissants)
(.LO, .L, .UP, .M = 0, 0, +INF, 0)
-3 objfn
-2 eq_hourlimit
X(bread_loafs)
(.LO, .L, .UP, .M = 0, 0, +INF, 0)
-5 objfn
-5 eq_hourlimit
---- Z objective function value
Z
(.LO, .L, .UP, .M = -INF, 0, +INF, 0)
1 objfn
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 4
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Range Statistics SOLVE bakery Using LP From line 54
RANGE STATISTICS (ABSOLUTE NON-ZERO FINITE VALUES)
RHS [min, max] : [ 4.000E+01, 4.000E+01] - Zero values observed as well
Bound [min, max] : [ NA, NA] - Zero values observed as well
Matrix [min, max] : [ 5.000E-01, 5.000E+00]
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 5
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Model Statistics SOLVE bakery Using LP From line 54
MODEL STATISTICS
BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 2
BLOCKS OF VARIABLES 2 SINGLE VARIABLES 4
NON ZERO ELEMENTS 7
GENERATION TIME = 0.005 SECONDS 4 MB 45.4.0 19dc3313 DAX-DAC
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 6
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Solution Report SOLVE bakery Using LP From line 54
S O L V E S U M M A R Y
MODEL bakery OBJECTIVE Z
TYPE LP DIRECTION MAXIMIZE
SOLVER CPLEX FROM LINE 54
**** SOLVER STATUS 1 Normal Completion
**** MODEL STATUS 1 Optimal
**** OBJECTIVE VALUE 60.0000
RESOURCE USAGE, LIMIT 0.005 10000000000.000
ITERATION COUNT, LIMIT 0 2147483647
*** This solver runs with a community license. No commercial use.
--- GMO setup time: 0.00s
--- GMO memory 0.50 Mb (peak 0.50 Mb)
--- Dictionary memory 0.00 Mb
--- Cplex 22.1.1.0 link memory 0.00 Mb (peak 0.00 Mb)
--- Starting Cplex
--- LP status (1): optimal.
--- Cplex Time: 0.00sec (det. 0.00 ticks)
Optimal solution found
Objective: 60.000000
LOWER LEVEL UPPER MARGINAL
---- EQU objfn . . . 1.0000
---- EQU eq_hourli~ -40.0000 -40.0000 +INF -1.5000
---- EQU eq_combo (EMPTY)
objfn target of our optimization
eq_hourlimit can only work so many hours in a week
eq_combo rolls production must be greater than or equal to croissant production
---- VAR X quantity of baked good i baked [items]
LOWER LEVEL UPPER MARGINAL
rolls . . +INF -1.0000
croissants . 20.0000 +INF .
bread_loafs . . +INF -2.5000
LOWER LEVEL UPPER MARGINAL
---- VAR Z -INF 60.0000 +INF .
Z objective function value
**** REPORT SUMMARY : 0 NONOPT
0 INFEASIBLE
0 UNBOUNDED
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 7
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Equation Listing SOLVE bakery Using LP From line 60
---- objfn =E= target of our optimization
objfn.. - 0.5*X(rolls) - 3*X(croissants) - 5*X(bread_loafs) + Z =E= 0 ; (LHS = 0)
---- eq_hourlimit =G= can only work so many hours in a week
eq_hourlimit.. - X(rolls) - 2*X(croissants) - 5*X(bread_loafs) =G= -40 ; (LHS = -40)
---- eq_combo =G= rolls production must be greater than or equal to croissant production
eq_combo.. X(rolls) - X(croissants) =G= 0 ; (LHS = -20, INFES = 20 ****)
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 8
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Column Listing SOLVE bakery Using LP From line 60
---- X quantity of baked good i baked [items]
X(rolls)
(.LO, .L, .UP, .M = 0, 0, +INF, -1)
-0.5 objfn
-1 eq_hourlimit
1 eq_combo
X(croissants)
(.LO, .L, .UP, .M = 0, 20, +INF, 0)
-3 objfn
-2 eq_hourlimit
-1 eq_combo
X(bread_loafs)
(.LO, .L, .UP, .M = 0, 0, +INF, -2.5)
-5 objfn
-5 eq_hourlimit
---- Z objective function value
Z
(.LO, .L, .UP, .M = -INF, 60, +INF, 0)
1 objfn
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 9
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Range Statistics SOLVE bakery Using LP From line 60
RANGE STATISTICS (ABSOLUTE NON-ZERO FINITE VALUES)
RHS [min, max] : [ 4.000E+01, 4.000E+01] - Zero values observed as well
Bound [min, max] : [ NA, NA] - Zero values observed as well
Matrix [min, max] : [ 5.000E-01, 5.000E+00]
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 10
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Model Statistics SOLVE bakery Using LP From line 60
MODEL STATISTICS
BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 3
BLOCKS OF VARIABLES 2 SINGLE VARIABLES 4
NON ZERO ELEMENTS 9
GENERATION TIME = 0.001 SECONDS 4 MB 45.4.0 19dc3313 DAX-DAC
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 11
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
Solution Report SOLVE bakery Using LP From line 60
S O L V E S U M M A R Y
MODEL bakery OBJECTIVE Z
TYPE LP DIRECTION MAXIMIZE
SOLVER CPLEX FROM LINE 60
**** SOLVER STATUS 1 Normal Completion
**** MODEL STATUS 1 Optimal
**** OBJECTIVE VALUE 46.6667
RESOURCE USAGE, LIMIT 0.001 10000000000.000
ITERATION COUNT, LIMIT 0 2147483647
*** This solver runs with a community license. No commercial use.
--- GMO setup time: 0.00s
--- GMO memory 0.50 Mb (peak 0.50 Mb)
--- Dictionary memory 0.00 Mb
--- Cplex 22.1.1.0 link memory 0.00 Mb (peak 0.00 Mb)
--- Starting Cplex
--- LP status (1): optimal.
--- Cplex Time: 0.00sec (det. 0.00 ticks)
Optimal solution found
Objective: 46.666667
LOWER LEVEL UPPER MARGINAL
---- EQU objfn . . . 1.0000
---- EQU eq_hourli~ -40.0000 -40.0000 +INF -1.1667
---- EQU eq_combo . . +INF -0.6667
objfn target of our optimization
eq_hourlimit can only work so many hours in a week
eq_combo rolls production must be greater than or equal to croissant production
---- VAR X quantity of baked good i baked [items]
LOWER LEVEL UPPER MARGINAL
rolls . 13.3333 +INF .
croissants . 13.3333 +INF .
bread_loafs . . +INF -0.8333
LOWER LEVEL UPPER MARGINAL
---- VAR Z -INF 46.6667 +INF .
Z objective function value
**** REPORT SUMMARY : 0 NONOPT
0 INFEASIBLE
0 UNBOUNDED
GAMS 45.4.0 19dc3313 Nov 27, 2023 DAX-DAC arm 64bit/macOS - 09/05/24 23:57:10 Page 12
G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m
E x e c u t i o n
EXECUTION TIME = 0.050 SECONDS 4 MB 45.4.0 19dc3313 DAX-DAC
USER: GAMS Community License for David Baker G240815|0002AO-GEN
Colorado School of Mines, Department of Electrical EngineeCL17297
License for teaching and research at degree granting institutions
**** FILE SUMMARY
Input /Users/david/code/davidbaker-is-next/public/images/optimizing/q1.gms
Output /Users/david/code/davidbaker-is-next/q1.lst