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

——————— Thu, 04 Jan 2024 03:01:49 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 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
total time           241.42               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             126807<=126807       subtour              163.0                
connectivity cuts    71.0                 uc strategy          4                    
uc tolerance         0.01                 tildeV               2:58                 
2-opt strategy       0                                                              
explored_nodes       1                    n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
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]
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]
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

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 = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 04 Jan 2024 04:02:25 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 8 hubs —— 1-44-52-26-6-11-30-59-1
total time           3605.76 (TL 3600)    gap                  0.454                
blossom time         0                    nb blossom           0.0                  
LB <= UB             93942<=172026        Master/SP costs      172026/0             
Master time          3605.76              SP time              0.0                  
subtour              60139.0              connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            0.0                  SP method            poly                 
tildeV               2:58                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       17940                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—44—52—26—6—11—30—59

RING
1  --- 44 | cost [2569.0]
6  --- 11 | cost [9086.0]
6  --- 26 | cost [868.0]
11 --- 30 | cost [22211.0]
26 --- 52 | cost [3619.0]
30 --- 59 | cost [2149.0]
44 --- 52 | cost [13720.0]

STAR
2  --> 52 | cost [1005.0]
3  --> 52 | cost [705.0]
4  --> 44 | cost [6321.0]
5  --> 52 | cost [2004.0]
7  --> 11 | cost [11490.0]
8  --> 52 | cost [2880.0]
9  --> 30 | cost [1029.0]
10 --> 52 | cost [240.0]
12 --> 52 | cost [2406.0]
13 --> 30 | cost [633.0]
14 -->  6 | cost [1041.0]
15 -->  6 | cost [3378.0]
16 --> 11 | cost [2079.0]
17 --> 26 | cost [387.0]
18 --> 44 | cost [342.0]
19 -->  6 | cost [414.0]
20 --> 30 | cost [3156.0]
21 --> 26 | cost [2301.0]
22 --> 52 | cost [2640.0]
23 --> 52 | cost [2976.0]
24 --> 44 | cost [1356.0]
25 --> 30 | cost [1116.0]
27 --> 52 | cost [1800.0]
28 -->  6 | cost [567.0]
29 --> 26 | cost [1557.0]
31 --> 11 | cost [9135.0]
32 --> 30 | cost [1647.0]
33 -->  6 | cost [1467.0]
34 -->  6 | cost [2565.0]
35 --> 52 | cost [321.0]
36 --> 26 | cost [729.0]
37 -->  6 | cost [1794.0]
38 --> 11 | cost [6447.0]
39 --> 11 | cost [1365.0]
40 --> 30 | cost [771.0]
41 --> 52 | cost [651.0]
42 --> 11 | cost [8064.0]
43 --> 52 | cost [1599.0]
45 -->  6 | cost [2820.0]
46 -->  6 | cost [3270.0]
47 --> 52 | cost [510.0]
48 --> 52 | cost [1026.0]
49 --> 52 | cost [597.0]
50 --> 44 | cost [4803.0]
51 --> 52 | cost [306.0]
53 --> 44 | cost [3510.0]
54 --> 52 | cost [1167.0]
55 --> 52 | cost [1491.0]
56 -->  6 | cost [3696.0]
57 --> 52 | cost [2664.0]
58 --> 44 | cost [1566.0]

BACKUP RING

BACKUP STAR
2  --> 11 | cost [23.16]
3  --> 26 | cost [20.1]
4  --> 30 | cost [63.27]
5  --> 26 | cost [33.78]
7  --> 52 | cost [143.13]
8  --> 11 | cost [35.25]
9  -->  1 | cost [17.82]
10 --> 26 | cost [17.61]
12 --> 26 | cost [37.38]
13 -->  1 | cost [13.92]
14 --> 26 | cost [19.56]
15 --> 26 | cost [35.31]
16 --> 52 | cost [49.17]
17 -->  6 | cost [7.5]
18 -->  1 | cost [9.9]
19 --> 26 | cost [5.34]
20 -->  1 | cost [39.06]
21 --> 11 | cost [26.61]
22 --> 11 | cost [29.22]
23 --> 44 | cost [31.830000000000002]
24 -->  1 | cost [20.07]
25 -->  1 | cost [18.81]
27 --> 26 | cost [31.32]
28 --> 26 | cost [12.96]
29 --> 52 | cost [15.69]
31 --> 52 | cost [119.58]
32 -->  1 | cost [23.97]
33 --> 26 | cost [21.27]
34 --> 26 | cost [27.240000000000002]
35 --> 26 | cost [18.27]
36 -->  6 | cost [10.92]
37 --> 26 | cost [19.17]
38 --> 52 | cost [92.49]
39 --> 52 | cost [14.64]
40 -->  1 | cost [15.36]
41 --> 26 | cost [23.94]
42 --> 52 | cost [108.51]
43 --> 26 | cost [29.07]
45 --> 52 | cost [28.26]
46 --> 26 | cost [34.14]
47 --> 26 | cost [15.84]
48 --> 11 | cost [20.88]
49 --> 26 | cost [19.2]
50 --> 30 | cost [48.24]
51 --> 26 | cost [16.080000000000002]
53 --> 30 | cost [35.160000000000004]
54 --> 26 | cost [29.25]
55 --> 11 | cost [28.92]
56 --> 26 | cost [38.22]
57 --> 44 | cost [36.78]
58 -->  1 | cost [22.17]

B = 0.0
i★ = 1
j★ = 1
k★ = 1