-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathHS114.SIF
294 lines (212 loc) · 6.49 KB
/
HS114.SIF
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
***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS114
* Problem :
* *********
* An alkylation process problem.
* Source: problem 114 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: J.M. Collin, Jan 1990.
* classification QOR2-MY-10-11
* Number of variables
IE N 10
* Others Parameters
IE 1 1
RE A 0.99
RE B 0.9
RM -A A -1.0
RM -B B -1.0
RD INVA A 1.0
RD INVB B 1.0
RM -INVA INVA -1.0
RM -INVB INVB -1.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective Function
N OBJ X2 0.035 X3 10.0
N OBJ X5 3.36 X1 5.04
* Constraint function
G C1 X10 -0.222
ZG C1 X9 -B
G C2 X7 3.0
ZG C2 X10 -A
G C3 X10 0.222
ZG C3 X9 INVB
ZG C4 X10 INVA
G C4 X7 -3.0
G C5 X1 1.12
ZG C5 X4 -A
G C6 X8 1.098 X6 0.325
ZG C6 X7 -A
G C7 X1 -1.12
ZG C7 X4 INVA
G C8 X8 -1.098 X6 -0.325
ZG C8 X7 INVA
E C9 X4 1.22 X1 -1.0
E C9 X5 -1.0
E C10 X6 -1.0
E C11 X8 -1.0
CONSTANTS
HS114 C1 -35.82
HS114 C2 133.0
HS114 C3 35.82
HS114 C4 -133.0
HS114 C6 -57.425
HS114 C8 57.425
BOUNDS
LO HS114 X1 0.00001
UP HS114 X1 2000.0
LO HS114 X2 0.00001
UP HS114 X2 16000.0
LO HS114 X3 0.00001
UP HS114 X3 120.0
LO HS114 X4 0.00001
UP HS114 X4 5000.0
LO HS114 X5 0.00001
UP HS114 X5 2000.0
LO HS114 X6 85.0
UP HS114 X6 93.0
LO HS114 X7 90.0
UP HS114 X7 95.0
LO HS114 X8 3.0
UP HS114 X8 12.0
LO HS114 X9 1.2
UP HS114 X9 4.0
LO HS114 X10 145.0
UP HS114 X10 162.0
START POINT
HS114 X1 1745.0
HS114 X2 12000.0
HS114 X3 110.0
HS114 X4 3048.0
HS114 X5 1974.0
HS114 X6 89.2
HS114 X7 92.8
HS114 X8 8.0
HS114 X9 3.6
HS114 X10 145.0
ELEMENT TYPE
* Element : W * X ** 2
EV WSQ X
EP WSQ W
* Element : W * (X * Y)
EV PROD X Y
EP PROD W
* Element : W * (X * Y ** 2)
EV PROD2 X Y
EP PROD2 W
* Element : (W * X)/(S * T + 1000 * U)
EV RAP1 X S
EV RAP1 T U
EP RAP1 W
* Element : (X + Y)/Z
EV RAP2 X Y
EV RAP2 Z
IV RAP2 SUM SUMZ
ELEMENT USES
T OE1 PROD
V OE1 X X4
V OE1 Y X7
P OE1 W -0.063
T CE1 PROD
V CE1 X X1
V CE1 Y X8
P CE1 W 0.13167
T CE2 PROD2
V CE2 X X1
V CE2 Y X8
P CE2 W -0.00667
T CE3 WSQ
V CE3 X X8
P CE3 W -0.038
T CE4 PROD
V CE4 X X1
V CE4 Y X8
P CE4 W -0.13167
T CE5 PROD2
V CE5 X X1
V CE5 Y X8
P CE5 W 0.00667
T CE6 WSQ
V CE6 X X8
P CE6 W 0.038
T CE7 RAP1
V CE7 X X3
V CE7 S X4
V CE7 T X9
V CE7 U X3
P CE7 W 98000.0
T CE8 RAP2
V CE8 X X2
V CE8 Y X5
V CE8 Z X1
GROUP USES
E OBJ OE1
E C5 CE1 CE2
E C6 CE3
E C7 CE4 CE5
E C8 CE6
E C10 CE7
E C11 CE8
OBJECT BOUND
* Solution
*LO SOLTN -1768.80696
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS114
TEMPORARIES
R WX
R DENOM
INDIVIDUALS
T WSQ
F W * X ** 2
G X 2.0 * W * X
H X X 2.0 * W
T PROD
F W * X * Y
G X W * Y
G Y W * X
H X Y W
T PROD2
F W * X * Y ** 2
G X W * Y ** 2
G Y 2.0 * W * X * Y
H X Y 2.0 * W * Y
H Y Y 2.0 * W * X
T RAP1
A WX W * X
A DENOM S * T + 1000.0 * U
F WX / DENOM
G X W / DENOM
G S - WX * T / DENOM ** 2
G T - WX * S / DENOM ** 2
G U - 1000.0 * WX / DENOM ** 2
H X S - W * T/ DENOM ** 2
H X T - W * S/ DENOM ** 2
H X U - 1000.0 * W / DENOM ** 2
H S S 2.0 * WX * T * T / DENOM ** 3
H S T 2.0 * WX * S * T / DENOM ** 3
H+ - WX / DENOM ** 2
H S U 2000.0 * WX * T / DENOM ** 3
H T T 2.0 * WX * S * S / DENOM ** 3
H T U 2000.0 * WX * S / DENOM ** 3
H U U 2000000.0 * WX / DENOM ** 3
T RAP2
R SUMZ Z 1.0
R SUM X 1.0 Y 1.0
F SUM / SUMZ
G SUM 1.0 / SUMZ
G SUMZ - SUM / SUMZ ** 2
H SUM SUMZ - 1.0 / SUMZ ** 2
H SUMZ SUMZ 2.0 * SUM / SUMZ ** 3
ENDATA