------------------------------------------------------------
                         α=7.0 —— lin105 —— 105 nodes       
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——————— Mon, 22 Jan 2024 13:12:14 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 12 hubs —— 1—15—103—104—49—55—105—52—43—33—27—106
total time           3643.51 (TL 3600)    gap                  0.713                
blossom time         0                    nb blossom           0.0                  
LB <= UB             72723.78<=253618.62  subtour              516.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:105                
2-opt strategy       0                                                              
explored_nodes       1                    n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—15—103—104—49—55—105—52—43—33—27—106

RING
1  --- 15 | cost [3311.0]
15 --- 103 | cost [700.0]
27 --- 33 | cost [1365.0]
27 --- 106 | cost [5411.0]
33 --- 43 | cost [4053.0]
43 --- 52 | cost [882.0]
49 --- 55 | cost [1253.0]
49 --- 104 | cost [2240.0]
52 --- 105 | cost [2849.0]
55 --- 105 | cost [1694.0]
103 --- 104 | cost [4053.0]

STAR
2  -->  1 | cost [93.0]
3  -->  1 | cost [927.0]
4  -->  1 | cost [3630.0]
5  -->  1 | cost [3453.0]
6  -->  1 | cost [450.0]
7  -->  1 | cost [543.0]
8  -->  1 | cost [1794.0]
9  -->  1 | cost [2091.0]
10 -->  1 | cost [897.0]
11 -->  1 | cost [993.0]
12 -->  1 | cost [1464.0]
13 --> 52 | cost [3552.0]
14 --> 52 | cost [3375.0]
16 --> 52 | cost [2715.0]
17 -->  1 | cost [2538.0]
18 -->  1 | cost [2457.0]
19 -->  1 | cost [2145.0]
20 -->  1 | cost [1872.0]
21 -->  1 | cost [1737.0]
22 -->  1 | cost [1830.0]
23 -->  1 | cost [1983.0]
24 --> 52 | cost [2478.0]
25 --> 52 | cost [2433.0]
26 --> 52 | cost [2337.0]
28 -->  1 | cost [2073.0]
29 -->  1 | cost [1926.0]
30 -->  1 | cost [2151.0]
31 -->  1 | cost [2271.0]
32 -->  1 | cost [2361.0]
34 --> 52 | cost [2589.0]
35 --> 52 | cost [2388.0]
36 --> 52 | cost [1491.0]
37 --> 52 | cost [1482.0]
38 --> 52 | cost [2061.0]
39 --> 52 | cost [1851.0]
40 --> 52 | cost [1491.0]
41 --> 52 | cost [573.0]
42 --> 52 | cost [591.0]
44 --> 52 | cost [606.0]
45 --> 52 | cost [1152.0]
46 --> 52 | cost [189.0]
47 --> 52 | cost [510.0]
48 --> 105 | cost [1092.0]
50 --> 105 | cost [906.0]
51 --> 52 | cost [474.0]
53 --> 52 | cost [189.0]
54 --> 52 | cost [510.0]
56 --> 55 | cost [189.0]
57 --> 52 | cost [606.0]
58 --> 52 | cost [378.0]
59 --> 55 | cost [624.0]
60 --> 52 | cost [2103.0]
61 --> 52 | cost [1986.0]
62 --> 105 | cost [876.0]
63 --> 105 | cost [1164.0]
64 --> 105 | cost [921.0]
65 --> 52 | cost [2655.0]
66 --> 52 | cost [2598.0]
67 --> 105 | cost [1323.0]
68 --> 105 | cost [1428.0]
69 --> 105 | cost [1533.0]
70 --> 105 | cost [1728.0]
71 --> 105 | cost [1551.0]
72 --> 105 | cost [1497.0]
73 --> 105 | cost [1536.0]
74 --> 105 | cost [1716.0]
75 --> 105 | cost [1818.0]
76 --> 105 | cost [1650.0]
77 --> 105 | cost [1614.0]
78 --> 105 | cost [1788.0]
79 --> 105 | cost [1707.0]
80 --> 105 | cost [1740.0]
81 --> 105 | cost [1899.0]
82 --> 105 | cost [1875.0]
83 --> 105 | cost [1971.0]
84 --> 105 | cost [1920.0]
85 --> 105 | cost [2208.0]
86 --> 105 | cost [2148.0]
87 --> 105 | cost [3525.0]
88 --> 105 | cost [3444.0]
89 --> 105 | cost [2667.0]
90 --> 105 | cost [2793.0]
91 --> 105 | cost [3063.0]
92 --> 105 | cost [3153.0]
93 --> 105 | cost [3069.0]
94 --> 105 | cost [4173.0]
95 --> 105 | cost [4125.0]
96 --> 105 | cost [3498.0]
97 --> 105 | cost [3588.0]
98 --> 105 | cost [3558.0]
99 --> 105 | cost [3660.0]
100 --> 105 | cost [4596.0]
101 --> 105 | cost [3930.0]
102 --> 105 | cost [4023.0]

BACKUP RING
1  --- 103 | cost [39.410000000000004]
15 --- 104 | cost [47.04]
27 --- 43 | cost [47.04]
33 --- 52 | cost [48.370000000000005]
33 --- 106 | cost [59.43]
43 --- 105 | cost [35.35]
49 --- 103 | cost [56.84]
49 --- 105 | cost [28.91]
52 --- 55 | cost [25.76]
55 --- 104 | cost [27.580000000000002]

BACKUP STAR
13 --> 27 | cost [24.39]
14 --> 27 | cost [22.32]
16 --> 27 | cost [5.5200000000000005]
24 --> 27 | cost [0.96]
25 --> 27 | cost [4.83]
26 --> 27 | cost [4.74]
34 --> 43 | cost [23.43]
35 --> 43 | cost [21.36]
36 --> 33 | cost [8.76]
37 --> 43 | cost [11.1]
38 --> 43 | cost [19.32]
39 --> 43 | cost [17.25]
40 --> 49 | cost [4.3500000000000005]
41 --> 43 | cost [2.0100000000000002]
42 --> 43 | cost [2.85]
44 --> 43 | cost [4.74]
45 --> 49 | cost [3.9]
46 --> 43 | cost [1.8900000000000001]
47 --> 43 | cost [5.1000000000000005]
48 --> 49 | cost [3.54]
50 --> 55 | cost [1.8900000000000001]
51 --> 43 | cost [6.0600000000000005]
53 --> 43 | cost [5.67]
54 --> 55 | cost [6.15]
56 --> 105 | cost [5.5200000000000005]
57 --> 105 | cost [6.24]
58 --> 43 | cost [7.5600000000000005]
59 --> 105 | cost [5.61]
60 --> 43 | cost [23.01]
61 --> 43 | cost [22.11]
62 --> 52 | cost [12.780000000000001]
63 --> 52 | cost [13.200000000000001]
64 --> 55 | cost [16.26]
65 --> 105 | cost [29.01]
66 --> 105 | cost [27.63]
67 --> 55 | cost [19.32]
68 --> 55 | cost [20.31]
69 --> 52 | cost [21.96]
70 --> 52 | cost [22.32]
71 --> 55 | cost [21.27]
72 --> 55 | cost [21.75]
73 --> 55 | cost [22.59]
74 --> 52 | cost [23.64]
75 --> 52 | cost [24.810000000000002]
76 --> 55 | cost [23.73]
77 --> 55 | cost [22.92]
78 --> 55 | cost [23.82]
79 --> 55 | cost [23.85]
80 --> 55 | cost [24.63]
81 --> 52 | cost [25.740000000000002]
82 --> 55 | cost [24.75]
83 --> 55 | cost [25.830000000000002]
84 --> 55 | cost [25.62]
85 --> 55 | cost [28.23]
86 --> 55 | cost [28.44]
87 --> 52 | cost [36.36]
88 --> 52 | cost [36.24]
89 --> 55 | cost [33.93]
90 --> 52 | cost [34.59]
91 --> 55 | cost [36.75]
92 --> 55 | cost [37.68]
93 --> 55 | cost [37.62]
94 --> 52 | cost [44.52]
95 --> 52 | cost [44.61]
96 --> 55 | cost [41.19]
97 --> 55 | cost [42.12]
98 --> 55 | cost [42.81]
99 --> 52 | cost [43.77]
100 --> 52 | cost [49.5]
101 --> 55 | cost [45.6]
102 --> 55 | cost [46.56]

B = 1202.81
i★ = 52
j★ = 105
k★ = 55