-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathBT11.SIF
176 lines (121 loc) · 3.12 KB
/
BT11.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
***************************
* SET UP THE INITIAL DATA *
***************************
NAME BT11
* Problem :
* *********
* Source: problem 11 in
* P.T. Boggs and J.W. Tolle,
* "A strategy for global convergence in a sequential
* quadratic programming algorithm",
* SINUM 26(3), pp. 600-623, 1989.
* The problem is not convex.
* SIF input: Ph. Toint, June 1993.
* classification OOR2-AY-5-3
VARIABLES
X1
X2
X3
X4
X5
GROUPS
N OBJ
E CON1 X1 1.0
E CON2 X2 1.0 X4 1.0
E CON3 X1 1.0 X5 -1.0
CONSTANTS
RF ROOT18 SQRT 18.0
RF ROOT8 SQRT 8.0
RA C1 ROOT18 -2.0
RA C2 ROOT8 -2.0
Z BT11 CON1 C1
Z BT11 CON2 C2
BT11 CON3 2.0
BOUNDS
FR BT11 'DEFAULT'
START POINT
* Start 1
XV BT11 'DEFAULT' 2.0
* Start 2
*XV BT11 'DEFAULT' 10.0
* Start 3
*XV BT11 'DEFAULT' 50.0
* Solution proposed in the paper (infeasible)
*XV BT11 X1 1.1912
*XV BT11 X2 1.3626
*XV BT11 X3 1.4728
*XV BT11 X4 1.6349
*XV BT11 X5 1.6790
ELEMENT TYPE
EV SQ X
EV SSQ X
EP SSQ P
EV CB X
EV ISQ X Y
IV ISQ Z
EV IFR X Y
IV IFR Z
ELEMENT USES
T O1 SSQ
V O1 X X1
P O1 P 1.0
T O2 ISQ
V O2 X X1
V O2 Y X2
T O3 ISQ
V O3 X X2
V O3 Y X3
T O4 IFR
V O4 X X3
V O4 Y X4
T O5 IFR
V O5 X X4
V O5 Y X5
T X2SQ SQ
V X2SQ X X2
T X3SQ SQ
V X3SQ X X3
T X3CB CB
V X3CB X X3
GROUP USES
E OBJ O1 O2
E OBJ O3 O4
E OBJ O5
E CON1 X2SQ X3CB
E CON2 X3SQ -1.0
OBJECT BOUND
* Solution
*LO SOLTN 0.824891647
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BT11
TEMPORARIES
R T
INDIVIDUALS
T SQ
F X * X
G X 2.0 * X
H X X 2.0
T CB
F X * X * X
G X 3.0 * X * X
H X X 6.0 * X
T SSQ
A T X - P
F T * T
G X T + T
H X X 2.0
T ISQ
R Z X 1.0 Y -1.0
F Z * Z
G Z Z + Z
H Z Z 2.0
T IFR
R Z X 1.0 Y -1.0
F Z**4
G Z 4.0 * Z**3
H Z Z 12.0 * Z**2
ENDATA