------------------------------------------------------------
                        α=7.0 —— brazil58 —— 58 nodes       
------------------------------------------------------------

——————— Thu, 25 Jan 2024 21:16:47 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 29 hubs —— 1—44—24—57—12—27—5—41—35—10—51—17—26—6—28—14—33—29—11—16—22—8—53—20—32—25—40—30—59
total time           428.72               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             129743.78<=129743.78 subtour              86.0                 
connectivity cuts    99.0                 uc strategy          4                    
uc tolerance         0.01                 tildeV               2:58                 
2-opt strategy       0                                                              
explored_nodes       1                    n lazycuts edges     3.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—44—24—57—12—27—5—41—35—10—51—17—26—6—28—14—33—29—11—16—22—8—53—20—32—25—40—30—59

RING
1  --- 44 | cost [2569.0]
1  --- 59 | cost [0.0]
5  --- 27 | cost [1820.0]
5  --- 41 | cost [3661.0]
6  --- 26 | cost [868.0]
6  --- 28 | cost [1323.0]
8  --- 22 | cost [1463.0]
8  --- 53 | cost [12523.0]
10 --- 35 | cost [525.0]
10 --- 51 | cost [686.0]
11 --- 16 | cost [4851.0]
11 --- 29 | cost [4711.0]
12 --- 27 | cost [1799.0]
12 --- 57 | cost [1736.0]
14 --- 28 | cost [1568.0]
14 --- 33 | cost [1232.0]
16 --- 22 | cost [6524.0]
17 --- 26 | cost [903.0]
17 --- 51 | cost [2856.0]
20 --- 32 | cost [3759.0]
20 --- 53 | cost [4438.0]
24 --- 44 | cost [3164.0]
24 --- 57 | cost [5278.0]
25 --- 32 | cost [1330.0]
25 --- 40 | cost [875.0]
29 --- 33 | cost [3346.0]
30 --- 40 | cost [1799.0]
30 --- 59 | cost [2149.0]
35 --- 41 | cost [1036.0]

STAR
2  --> 41 | cost [294.0]
3  --> 35 | cost [474.0]
4  --> 53 | cost [2841.0]
7  --> 16 | cost [9426.0]
9  --> 25 | cost [390.0]
13 --> 40 | cost [405.0]
15 --> 14 | cost [1995.0]
18 --> 44 | cost [342.0]
19 -->  6 | cost [414.0]
21 --> 29 | cost [1560.0]
23 -->  5 | cost [972.0]
31 --> 16 | cost [7071.0]
34 --> 14 | cost [1182.0]
36 --> 17 | cost [342.0]
37 --> 14 | cost [411.0]
38 --> 16 | cost [4368.0]
39 --> 35 | cost [987.0]
42 --> 16 | cost [5970.0]
43 --> 27 | cost [552.0]
45 --> 33 | cost [639.0]
46 --> 33 | cost [1305.0]
47 --> 51 | cost [216.0]
48 --> 41 | cost [576.0]
49 --> 51 | cost [291.0]
50 --> 53 | cost [1338.0]
52 --> 10 | cost [240.0]
54 --> 41 | cost [552.0]
55 --> 41 | cost [846.0]
56 --> 33 | cost [1239.0]
58 --> 24 | cost [777.0]

BACKUP RING
1  --- 24 | cost [46.83]
5  --- 12 | cost [48.58]
5  --- 35 | cost [46.2]
6  --- 14 | cost [24.29]
6  --- 17 | cost [17.5]
8  --- 16 | cost [79.31]
8  --- 20 | cost [169.61]
10 --- 17 | cost [32.06]
10 --- 41 | cost [15.89]
11 --- 22 | cost [68.18]
11 --- 33 | cost [101.08]
12 --- 24 | cost [70.14]
14 --- 29 | cost [67.76]
16 --- 29 | cost [95.34]
20 --- 25 | cost [48.51]
22 --- 53 | cost [139.02]
25 --- 30 | cost [26.04]
26 --- 28 | cost [30.240000000000002]
26 --- 51 | cost [37.52]
27 --- 41 | cost [54.81]
27 --- 57 | cost [34.86]
28 --- 33 | cost [19.81]
32 --- 40 | cost [20.79]
32 --- 53 | cost [81.97]
35 --- 51 | cost [11.97]
40 --- 59 | cost [35.84]
44 --- 57 | cost [85.82000000000001]

BACKUP STAR
2  --> 10 | cost [8.61]
3  --> 10 | cost [6.51]
4  --> 20 | cost [47.13]
7  --> 11 | cost [114.9]
9  --> 40 | cost [5.5200000000000005]
13 --> 25 | cost [6.0]
15 --> 33 | cost [24.54]
18 -->  1 | cost [9.9]
19 --> 26 | cost [5.34]
21 --> 17 | cost [19.14]
23 --> 57 | cost [12.96]
31 --> 11 | cost [91.35000000000001]
34 --> 33 | cost [16.41]
36 --> 26 | cost [7.29]
37 --> 33 | cost [8.700000000000001]
38 --> 11 | cost [64.47]
39 --> 29 | cost [10.98]
42 --> 11 | cost [80.64]
43 --> 12 | cost [8.370000000000001]
45 --> 14 | cost [14.370000000000001]
46 --> 14 | cost [18.87]
47 --> 10 | cost [5.1000000000000005]
48 --> 35 | cost [8.61]
49 --> 10 | cost [5.07]
50 --> 20 | cost [32.1]
52 --> 51 | cost [3.06]
54 --> 35 | cost [9.450000000000001]
55 --> 22 | cost [10.77]
56 --> 14 | cost [23.13]
58 --> 44 | cost [15.66]

B = 419.53999999999996
i★ = 11
j★ = 16
k★ = 22

       
——————— Thu, 25 Jan 2024 21:45:38 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 29 hubs —— 1-30-40-25-32-20-53-8-22-16-11-29-33-14-28-6-26-17-51-10-35-41-5-27-12-57-24-44-59-1
total time           1696.27              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             129743.78<=129743.78 Master/SP costs      126807/2936.78       
Master time          1695.73              SP time              0.54                 
subtour              61884.0              connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            16.0                 SP method            poly                 
tildeV               2:58                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       28260                
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—30—40—25—32—20—53—8—22—16—11—29—33—14—28—6—26—17—51—10—35—41—5—27—12—57—24—44—59

RING
1  --- 30 | cost [2149.0]
5  --- 27 | cost [1820.0]
5  --- 41 | cost [3661.0]
6  --- 26 | cost [868.0]
6  --- 28 | cost [1323.0]
8  --- 22 | cost [1463.0]
8  --- 53 | cost [12523.0]
10 --- 35 | cost [525.0]
10 --- 51 | cost [686.0]
11 --- 16 | cost [4851.0]
11 --- 29 | cost [4711.0]
12 --- 27 | cost [1799.0]
12 --- 57 | cost [1736.0]
14 --- 28 | cost [1568.0]
14 --- 33 | cost [1232.0]
16 --- 22 | cost [6524.0]
17 --- 26 | cost [903.0]
17 --- 51 | cost [2856.0]
20 --- 32 | cost [3759.0]
20 --- 53 | cost [4438.0]
24 --- 44 | cost [3164.0]
24 --- 57 | cost [5278.0]
25 --- 32 | cost [1330.0]
25 --- 40 | cost [875.0]
29 --- 33 | cost [3346.0]
30 --- 40 | cost [1799.0]
35 --- 41 | cost [1036.0]
44 --- 59 | cost [2569.0]

STAR
2  --> 41 | cost [294.0]
3  --> 35 | cost [474.0]
4  --> 53 | cost [2841.0]
7  --> 16 | cost [9426.0]
9  --> 25 | cost [390.0]
13 --> 40 | cost [405.0]
15 --> 14 | cost [1995.0]
18 --> 44 | cost [342.0]
19 -->  6 | cost [414.0]
21 --> 29 | cost [1560.0]
23 -->  5 | cost [972.0]
31 --> 16 | cost [7071.0]
34 --> 14 | cost [1182.0]
36 --> 17 | cost [342.0]
37 --> 14 | cost [411.0]
38 --> 16 | cost [4368.0]
39 --> 35 | cost [987.0]
42 --> 16 | cost [5970.0]
43 --> 27 | cost [552.0]
45 --> 33 | cost [639.0]
46 --> 33 | cost [1305.0]
47 --> 51 | cost [216.0]
48 --> 41 | cost [576.0]
49 --> 51 | cost [291.0]
50 --> 53 | cost [1338.0]
52 --> 10 | cost [240.0]
54 --> 41 | cost [552.0]
55 --> 41 | cost [846.0]
56 --> 33 | cost [1239.0]
58 --> 24 | cost [777.0]

BACKUP RING
1  --- 40 | cost [35.84]
5  --- 12 | cost [48.58]
5  --- 35 | cost [46.2]
6  --- 14 | cost [24.29]
6  --- 17 | cost [17.5]
8  --- 16 | cost [79.31]
8  --- 20 | cost [169.61]
10 --- 17 | cost [32.06]
10 --- 41 | cost [15.89]
11 --- 22 | cost [68.18]
11 --- 33 | cost [101.08]
12 --- 24 | cost [70.14]
14 --- 29 | cost [67.76]
16 --- 29 | cost [95.34]
20 --- 25 | cost [48.51]
22 --- 53 | cost [139.02]
24 --- 59 | cost [46.83]
25 --- 30 | cost [26.04]
26 --- 28 | cost [30.240000000000002]
26 --- 51 | cost [37.52]
27 --- 41 | cost [54.81]
27 --- 57 | cost [34.86]
28 --- 33 | cost [19.81]
32 --- 40 | cost [20.79]
32 --- 53 | cost [81.97]
35 --- 51 | cost [11.97]
44 --- 57 | cost [85.82000000000001]

BACKUP STAR
2  --> 10 | cost [8.61]
3  --> 10 | cost [6.51]
4  --> 20 | cost [47.13]
7  --> 11 | cost [114.9]
9  --> 40 | cost [5.5200000000000005]
13 --> 25 | cost [6.0]
15 --> 33 | cost [24.54]
18 -->  1 | cost [9.9]
19 --> 26 | cost [5.34]
21 --> 17 | cost [19.14]
23 --> 57 | cost [12.96]
31 --> 11 | cost [91.35000000000001]
34 --> 33 | cost [16.41]
36 --> 26 | cost [7.29]
37 --> 33 | cost [8.700000000000001]
38 --> 11 | cost [64.47]
39 --> 29 | cost [10.98]
42 --> 11 | cost [80.64]
43 --> 12 | cost [8.370000000000001]
45 --> 14 | cost [14.370000000000001]
46 --> 14 | cost [18.87]
47 --> 10 | cost [5.1000000000000005]
48 --> 35 | cost [8.61]
49 --> 10 | cost [5.07]
50 --> 20 | cost [32.1]
52 --> 51 | cost [3.06]
54 --> 35 | cost [9.450000000000001]
55 --> 22 | cost [10.77]
56 --> 14 | cost [23.13]
58 --> 44 | cost [15.66]

B = 419.53999999999996
i★ = 11
j★ = 16
k★ = 22