------------------------------------------------------------
                           α=5.0 —— u159 —— 159 nodes       
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——————— Wed, 17 Jan 2024 00:13:21 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—159—160
total time           3608.3 (TL 3600)     gap                  0.099                
blossom time         0                    nb blossom           0.0                  
LB <= UB             196360<=217999.99    subtour              22706.0              
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       6111                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—160

RING
1  --- 159 | cost [1415.0]
2  ---  3 | cost [1000.0]
2  ---  4 | cost [1000.0]
3  ---  4 | cost [1415.0]
5  --- 153 | cost [1000.0]
5  --- 156 | cost [1120.0]
7  ---  8 | cost [1000.0]
7  --- 152 | cost [500.0]
8  ---  9 | cost [500.0]
9  --- 10 | cost [500.0]
10 --- 11 | cost [1000.0]
11 --- 13 | cost [1000.0]
13 --- 14 | cost [1000.0]
14 --- 15 | cost [500.0]
15 --- 17 | cost [1000.0]
17 --- 18 | cost [2915.0]
18 --- 19 | cost [1120.0]
19 --- 20 | cost [705.0]
20 --- 21 | cost [500.0]
21 --- 23 | cost [1120.0]
23 --- 24 | cost [1415.0]
24 --- 25 | cost [1415.0]
25 --- 27 | cost [1500.0]
27 --- 28 | cost [1805.0]
28 --- 29 | cost [3535.0]
29 --- 30 | cost [2235.0]
30 --- 31 | cost [2830.0]
31 --- 32 | cost [1805.0]
32 --- 33 | cost [3040.0]
33 --- 34 | cost [1500.0]
34 --- 35 | cost [500.0]
35 --- 37 | cost [1500.0]
36 --- 37 | cost [500.0]
36 --- 38 | cost [1120.0]
38 --- 135 | cost [1580.0]
39 --- 40 | cost [500.0]
39 --- 41 | cost [1500.0]
40 --- 41 | cost [1580.0]
45 --- 46 | cost [1000.0]
45 --- 47 | cost [2000.0]
46 --- 47 | cost [1000.0]
49 --- 50 | cost [1500.0]
49 --- 51 | cost [1805.0]
50 --- 51 | cost [1000.0]
52 --- 53 | cost [2500.0]
52 --- 74 | cost [3200.0]
53 --- 54 | cost [1120.0]
54 --- 55 | cost [3535.0]
55 --- 56 | cost [1500.0]
56 --- 57 | cost [1500.0]
57 --- 58 | cost [705.0]
58 --- 59 | cost [2000.0]
59 --- 60 | cost [2500.0]
60 --- 61 | cost [1500.0]
61 --- 62 | cost [1500.0]
62 --- 64 | cost [2000.0]
64 --- 65 | cost [500.0]
65 --- 66 | cost [500.0]
66 --- 67 | cost [500.0]
67 --- 68 | cost [500.0]
68 --- 69 | cost [500.0]
69 --- 70 | cost [500.0]
70 --- 71 | cost [500.0]
71 --- 73 | cost [1500.0]
73 --- 76 | cost [1805.0]
74 --- 75 | cost [1580.0]
75 --- 76 | cost [1500.0]
77 --- 79 | cost [2060.0]
77 --- 80 | cost [2000.0]
79 --- 82 | cost [1500.0]
80 --- 81 | cost [500.0]
81 --- 82 | cost [500.0]
83 --- 84 | cost [500.0]
83 --- 85 | cost [1000.0]
84 --- 85 | cost [500.0]
87 --- 96 | cost [1120.0]
87 --- 97 | cost [1580.0]
89 --- 90 | cost [1000.0]
89 --- 94 | cost [1120.0]
90 --- 94 | cost [1120.0]
92 --- 93 | cost [1000.0]
92 --- 118 | cost [3040.0]
93 --- 108 | cost [3605.0]
95 --- 96 | cost [705.0]
95 --- 107 | cost [4125.0]
97 --- 98 | cost [500.0]
98 --- 99 | cost [500.0]
99 --- 100 | cost [500.0]
100 --- 101 | cost [500.0]
101 --- 102 | cost [500.0]
102 --- 103 | cost [500.0]
103 --- 104 | cost [500.0]
104 --- 105 | cost [500.0]
105 --- 106 | cost [1805.0]
106 --- 107 | cost [2000.0]
108 --- 109 | cost [1120.0]
109 --- 110 | cost [1000.0]
110 --- 111 | cost [1000.0]
111 --- 112 | cost [1000.0]
112 --- 115 | cost [3000.0]
115 --- 116 | cost [1000.0]
116 --- 117 | cost [1000.0]
117 --- 118 | cost [1000.0]
120 --- 121 | cost [1000.0]
120 --- 122 | cost [2000.0]
121 --- 122 | cost [1000.0]
126 --- 127 | cost [2500.0]
126 --- 158 | cost [2830.0]
127 --- 129 | cost [2000.0]
128 --- 129 | cost [1120.0]
128 --- 131 | cost [1500.0]
131 --- 132 | cost [1805.0]
132 --- 134 | cost [1120.0]
133 --- 134 | cost [500.0]
133 --- 136 | cost [1500.0]
135 --- 136 | cost [500.0]
137 --- 138 | cost [1500.0]
137 --- 139 | cost [2000.0]
138 --- 140 | cost [2060.0]
139 --- 141 | cost [1000.0]
140 --- 142 | cost [2000.0]
141 --- 142 | cost [1415.0]
147 --- 148 | cost [500.0]
147 --- 149 | cost [500.0]
148 --- 149 | cost [705.0]
151 --- 154 | cost [1000.0]
151 --- 155 | cost [1120.0]
152 --- 153 | cost [500.0]
154 --- 155 | cost [500.0]
156 --- 157 | cost [500.0]
157 --- 158 | cost [1120.0]
159 --- 160 | cost [1415.0]

STAR
6  --> 153 | cost [1000.0]
12 --> 11 | cost [1000.0]
16 --> 15 | cost [1120.0]
22 --> 23 | cost [500.0]
26 --> 27 | cost [1120.0]
42 --> 41 | cost [1415.0]
43 --> 45 | cost [2000.0]
44 --> 45 | cost [1415.0]
48 --> 47 | cost [1000.0]
63 --> 62 | cost [1500.0]
72 --> 71 | cost [500.0]
78 --> 79 | cost [500.0]
86 --> 85 | cost [500.0]
88 --> 87 | cost [1000.0]
91 --> 90 | cost [1000.0]
113 --> 112 | cost [1000.0]
114 --> 115 | cost [1000.0]
119 --> 120 | cost [1000.0]
123 --> 122 | cost [1000.0]
124 --> 129 | cost [1120.0]
125 --> 126 | cost [3200.0]
130 --> 129 | cost [1415.0]
143 --> 157 | cost [6020.0]
144 --> 157 | cost [5525.0]
145 --> 157 | cost [5500.0]
146 --> 147 | cost [500.0]
150 --> 151 | cost [1120.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1