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                         α=5.0 —— rat195 —— 195 nodes       
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——————— Wed, 17 Jan 2024 04:18:02 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—2—196
total time           3614.17 (TL 3600)    gap                  0.005                
blossom time         0                    nb blossom           0.0                  
LB <= UB             11250<=11305         subtour              32420.0              
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       3531                 n lazycuts edges     3.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—2—196

RING
1  ---  2 | cost [70.0]
2  --- 196 | cost [70.0]
5  ---  6 | cost [35.0]
5  --- 19 | cost [75.0]
6  ---  7 | cost [65.0]
7  ---  8 | cost [65.0]
8  ---  9 | cost [55.0]
9  --- 10 | cost [40.0]
10 --- 11 | cost [65.0]
11 --- 12 | cost [45.0]
12 --- 25 | cost [85.0]
15 --- 16 | cost [55.0]
15 --- 28 | cost [70.0]
16 --- 17 | cost [35.0]
17 --- 18 | cost [45.0]
18 --- 32 | cost [85.0]
19 --- 20 | cost [65.0]
20 --- 21 | cost [50.0]
21 --- 22 | cost [55.0]
22 --- 35 | cost [75.0]
25 --- 38 | cost [80.0]
28 --- 29 | cost [60.0]
29 --- 30 | cost [55.0]
30 --- 31 | cost [65.0]
31 --- 32 | cost [35.0]
35 --- 36 | cost [50.0]
36 --- 37 | cost [30.0]
37 --- 50 | cost [60.0]
38 --- 39 | cost [60.0]
39 --- 52 | cost [95.0]
40 --- 41 | cost [45.0]
40 --- 53 | cost [45.0]
41 --- 53 | cost [65.0]
43 --- 44 | cost [60.0]
43 --- 56 | cost [55.0]
44 --- 45 | cost [40.0]
45 --- 46 | cost [65.0]
46 --- 47 | cost [40.0]
47 --- 48 | cost [55.0]
48 --- 49 | cost [65.0]
49 --- 61 | cost [95.0]
50 --- 51 | cost [50.0]
51 --- 52 | cost [45.0]
56 --- 57 | cost [50.0]
57 --- 58 | cost [50.0]
58 --- 71 | cost [50.0]
61 --- 62 | cost [65.0]
62 --- 63 | cost [45.0]
63 --- 64 | cost [60.0]
64 --- 65 | cost [40.0]
65 --- 78 | cost [80.0]
66 --- 67 | cost [45.0]
66 --- 79 | cost [65.0]
67 --- 68 | cost [45.0]
68 --- 69 | cost [65.0]
69 --- 71 | cost [100.0]
72 --- 73 | cost [45.0]
72 --- 85 | cost [60.0]
73 --- 74 | cost [70.0]
74 --- 75 | cost [60.0]
75 --- 76 | cost [40.0]
76 --- 77 | cost [65.0]
77 --- 78 | cost [55.0]
79 --- 80 | cost [55.0]
80 --- 81 | cost [65.0]
81 --- 82 | cost [55.0]
82 --- 83 | cost [50.0]
83 --- 84 | cost [50.0]
84 --- 97 | cost [70.0]
85 --- 86 | cost [70.0]
86 --- 87 | cost [45.0]
87 --- 88 | cost [75.0]
88 --- 89 | cost [35.0]
89 --- 90 | cost [70.0]
90 --- 91 | cost [55.0]
91 --- 104 | cost [70.0]
92 --- 93 | cost [50.0]
92 --- 105 | cost [65.0]
93 --- 94 | cost [50.0]
94 --- 95 | cost [55.0]
95 --- 96 | cost [50.0]
96 --- 97 | cost [65.0]
100 --- 101 | cost [30.0]
100 --- 102 | cost [85.0]
101 --- 102 | cost [60.0]
103 --- 104 | cost [55.0]
103 --- 116 | cost [80.0]
105 --- 106 | cost [75.0]
106 --- 119 | cost [80.0]
108 --- 109 | cost [55.0]
108 --- 121 | cost [55.0]
109 --- 110 | cost [50.0]
110 --- 111 | cost [65.0]
111 --- 112 | cost [60.0]
112 --- 113 | cost [55.0]
113 --- 114 | cost [40.0]
114 --- 115 | cost [65.0]
115 --- 116 | cost [40.0]
119 --- 120 | cost [55.0]
120 --- 133 | cost [70.0]
121 --- 122 | cost [40.0]
122 --- 123 | cost [55.0]
123 --- 124 | cost [60.0]
124 --- 125 | cost [55.0]
125 --- 126 | cost [45.0]
126 --- 127 | cost [45.0]
127 --- 128 | cost [75.0]
128 --- 129 | cost [35.0]
129 --- 142 | cost [65.0]
132 --- 133 | cost [50.0]
132 --- 145 | cost [70.0]
134 --- 135 | cost [65.0]
134 --- 147 | cost [55.0]
135 --- 136 | cost [55.0]
136 --- 137 | cost [55.0]
137 --- 138 | cost [50.0]
138 --- 139 | cost [50.0]
139 --- 140 | cost [50.0]
140 --- 141 | cost [60.0]
141 --- 142 | cost [70.0]
145 --- 146 | cost [75.0]
146 --- 158 | cost [80.0]
147 --- 148 | cost [45.0]
148 --- 149 | cost [60.0]
149 --- 150 | cost [65.0]
150 --- 151 | cost [45.0]
151 --- 164 | cost [65.0]
153 --- 154 | cost [60.0]
153 --- 166 | cost [50.0]
154 --- 155 | cost [60.0]
155 --- 156 | cost [55.0]
156 --- 168 | cost [105.0]
158 --- 159 | cost [70.0]
159 --- 160 | cost [55.0]
160 --- 161 | cost [70.0]
161 --- 162 | cost [60.0]
162 --- 163 | cost [40.0]
163 --- 164 | cost [40.0]
165 --- 166 | cost [40.0]
165 --- 178 | cost [75.0]
167 --- 168 | cost [65.0]
167 --- 180 | cost [40.0]
171 --- 172 | cost [55.0]
171 --- 183 | cost [80.0]
172 --- 173 | cost [65.0]
173 --- 174 | cost [40.0]
174 --- 175 | cost [45.0]
175 --- 176 | cost [65.0]
176 --- 177 | cost [35.0]
177 --- 178 | cost [65.0]
180 --- 181 | cost [60.0]
181 --- 182 | cost [55.0]
182 --- 195 | cost [85.0]
183 --- 184 | cost [60.0]
184 --- 185 | cost [45.0]
185 --- 186 | cost [50.0]
186 --- 187 | cost [55.0]
187 --- 188 | cost [60.0]
188 --- 189 | cost [80.0]
189 --- 190 | cost [30.0]
190 --- 191 | cost [80.0]
191 --- 192 | cost [55.0]
192 --- 193 | cost [60.0]
193 --- 194 | cost [50.0]
194 --- 195 | cost [70.0]

STAR
3  -->  2 | cost [35.0]
4  -->  5 | cost [65.0]
13 --> 12 | cost [40.0]
14 --> 15 | cost [60.0]
23 --> 22 | cost [60.0]
24 --> 25 | cost [55.0]
26 --> 25 | cost [60.0]
27 --> 28 | cost [60.0]
33 --> 32 | cost [65.0]
34 --> 21 | cost [60.0]
42 --> 43 | cost [45.0]
54 --> 53 | cost [65.0]
55 --> 56 | cost [80.0]
59 --> 58 | cost [65.0]
60 --> 61 | cost [35.0]
70 --> 69 | cost [40.0]
98 --> 97 | cost [60.0]
99 --> 100 | cost [60.0]
107 --> 106 | cost [55.0]
117 --> 116 | cost [55.0]
118 --> 119 | cost [65.0]
130 --> 129 | cost [60.0]
131 --> 132 | cost [60.0]
143 --> 142 | cost [60.0]
144 --> 145 | cost [35.0]
152 --> 153 | cost [45.0]
157 --> 158 | cost [45.0]
169 --> 168 | cost [70.0]
170 --> 171 | cost [70.0]
179 --> 178 | cost [55.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1