------------------------------------------------------------
                        α=5.0 —— brazil58 —— 58 nodes       
------------------------------------------------------------

——————— Thu, 04 Jan 2024 01:56:45 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 41 hubs —— 1—18—44—24—57—12—27—5—54—2—41—35—10—51—47—17—26—6—28—14—37—34—46—45—33—29—39—11—31—38—16—22—8—53—20—32—25—40—13—30—59
total time           231.05               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             115045<=115045       subtour              301.0                
connectivity cuts    95.0                 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—18—44—24—57—12—27—5—54—2—41—35—10—51—47—17—26—6—28—14—37—34—46—45—33—29—39—11—31—38—16—22—8—53—20—32—25—40—13—30—59

RING
1  --- 18 | cost [1650.0]
1  --- 59 | cost [0.0]
2  --- 41 | cost [490.0]
2  --- 54 | cost [685.0]
5  --- 27 | cost [1300.0]
5  --- 54 | cost [2470.0]
6  --- 26 | cost [620.0]
6  --- 28 | cost [945.0]
8  --- 22 | cost [1045.0]
8  --- 53 | cost [8945.0]
10 --- 35 | cost [375.0]
10 --- 51 | cost [490.0]
11 --- 31 | cost [15225.0]
11 --- 39 | cost [2275.0]
12 --- 27 | cost [1285.0]
12 --- 57 | cost [1240.0]
13 --- 30 | cost [1055.0]
13 --- 40 | cost [675.0]
14 --- 28 | cost [1120.0]
14 --- 37 | cost [685.0]
16 --- 22 | cost [4660.0]
16 --- 38 | cost [7280.0]
17 --- 26 | cost [645.0]
17 --- 47 | cost [1960.0]
18 --- 44 | cost [570.0]
20 --- 32 | cost [2685.0]
20 --- 53 | cost [3170.0]
24 --- 44 | cost [2260.0]
24 --- 57 | cost [3770.0]
25 --- 32 | cost [950.0]
25 --- 40 | cost [625.0]
29 --- 33 | cost [2390.0]
29 --- 39 | cost [1830.0]
30 --- 59 | cost [1535.0]
31 --- 38 | cost [4505.0]
33 --- 45 | cost [1065.0]
34 --- 37 | cost [1285.0]
34 --- 46 | cost [1145.0]
35 --- 41 | cost [740.0]
45 --- 46 | cost [1365.0]
47 --- 51 | cost [360.0]

STAR
3  --> 35 | cost [790.0]
4  --> 53 | cost [4735.0]
7  --> 31 | cost [3925.0]
9  --> 25 | cost [650.0]
15 --> 34 | cost [1310.0]
19 -->  6 | cost [690.0]
21 --> 29 | cost [2600.0]
23 -->  5 | cost [1620.0]
36 --> 17 | cost [570.0]
42 --> 38 | cost [2720.0]
43 --> 27 | cost [920.0]
48 --> 41 | cost [960.0]
49 --> 47 | cost [430.0]
50 --> 53 | cost [2230.0]
52 --> 10 | cost [400.0]
55 --> 54 | cost [560.0]
56 --> 46 | cost [1270.0]
58 --> 24 | cost [1295.0]

BACKUP RING

BACKUP STAR
3  --> 10 | cost [10.85]
4  --> 20 | cost [78.55]
7  --> 38 | cost [84.3]
9  --> 13 | cost [7.3500000000000005]
15 --> 37 | cost [26.400000000000002]
19 --> 26 | cost [8.9]
21 --> 39 | cost [30.35]
23 --> 57 | cost [21.6]
36 --> 26 | cost [12.15]
42 --> 31 | cost [72.25]
43 --> 12 | cost [13.950000000000001]
48 -->  2 | cost [9.700000000000001]
49 --> 51 | cost [4.8500000000000005]
50 --> 20 | cost [53.5]
52 --> 51 | cost [5.1000000000000005]
55 -->  2 | cost [11.700000000000001]
56 --> 34 | cost [15.0]
58 --> 44 | cost [26.1]

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 04 Jan 2024 02:57:22 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 13 hubs —— 1-30-57-27-43-6-15-21-11-2-51-18-59-1
total time           3605.74 (TL 3600)    gap                  0.551                
blossom time         0                    nb blossom           0.0                  
LB <= UB             93755<=208725        Master/SP costs      208725/0             
Master time          3605.74              SP time              0.0                  
subtour              83217.0              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       12506                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—30—57—27—43—6—15—21—11—2—51—18—59

RING
1  --- 30 | cost [1535.0]
2  --- 11 | cost [3860.0]
2  --- 51 | cost [2175.0]
6  --- 15 | cost [5630.0]
6  --- 43 | cost [5315.0]
11 --- 21 | cost [4435.0]
15 --- 21 | cost [7355.0]
18 --- 51 | cost [10340.0]
18 --- 59 | cost [1650.0]
27 --- 43 | cost [920.0]
27 --- 57 | cost [2490.0]
30 --- 57 | cost [8420.0]

STAR
3  -->  2 | cost [1570.0]
4  --> 18 | cost [9955.0]
5  --> 27 | cost [1300.0]
7  --> 11 | cost [19150.0]
8  -->  2 | cost [3465.0]
9  --> 30 | cost [1715.0]
10 --> 51 | cost [490.0]
12 --> 57 | cost [1240.0]
13 --> 30 | cost [1055.0]
14 -->  6 | cost [1735.0]
16 --> 11 | cost [3465.0]
17 -->  6 | cost [1250.0]
19 -->  6 | cost [690.0]
20 --> 30 | cost [5260.0]
22 -->  2 | cost [2450.0]
23 --> 57 | cost [2160.0]
24 --> 18 | cost [2820.0]
25 --> 30 | cost [1860.0]
26 -->  6 | cost [620.0]
28 -->  6 | cost [945.0]
29 --> 21 | cost [2600.0]
31 --> 11 | cost [15225.0]
32 --> 30 | cost [2745.0]
33 -->  6 | cost [2445.0]
34 --> 15 | cost [1310.0]
35 --> 51 | cost [855.0]
36 -->  6 | cost [1820.0]
37 --> 15 | cost [2640.0]
38 --> 11 | cost [10745.0]
39 -->  2 | cost [1970.0]
40 --> 30 | cost [1285.0]
41 -->  2 | cost [490.0]
42 --> 11 | cost [13440.0]
44 --> 18 | cost [570.0]
45 --> 15 | cost [2810.0]
46 --> 15 | cost [3035.0]
47 --> 51 | cost [360.0]
48 -->  2 | cost [970.0]
49 --> 51 | cost [485.0]
50 --> 30 | cost [8040.0]
52 --> 51 | cost [510.0]
53 --> 30 | cost [5860.0]
54 -->  2 | cost [685.0]
55 -->  2 | cost [1170.0]
56 -->  6 | cost [6160.0]
58 --> 18 | cost [3180.0]

BACKUP RING

BACKUP STAR
3  --> 51 | cost [16.85]
4  --> 30 | cost [105.45]
5  --> 43 | cost [21.7]
7  -->  2 | cost [232.25]
8  --> 27 | cost [48.25]
9  -->  1 | cost [29.7]
10 -->  2 | cost [14.35]
12 --> 27 | cost [12.85]
13 -->  1 | cost [23.2]
14 --> 15 | cost [33.25]
16 -->  2 | cost [59.65]
17 --> 51 | cost [20.400000000000002]
19 --> 51 | cost [35.35]
20 --> 18 | cost [63.65]
22 --> 51 | cost [45.95]
23 --> 27 | cost [27.7]
24 -->  1 | cost [33.45]
25 -->  1 | cost [31.35]
26 --> 51 | cost [26.8]
28 --> 51 | cost [38.85]
29 --> 51 | cost [26.25]
31 -->  2 | cost [193.0]
32 -->  1 | cost [39.95]
33 --> 15 | cost [40.9]
34 -->  6 | cost [42.75]
35 -->  2 | cost [17.95]
36 --> 21 | cost [26.2]
37 -->  6 | cost [29.900000000000002]
38 -->  2 | cost [147.95000000000002]
39 --> 11 | cost [22.75]
40 -->  1 | cost [25.6]
41 --> 51 | cost [15.950000000000001]
42 -->  2 | cost [176.9]
44 -->  1 | cost [18.35]
45 -->  6 | cost [47.0]
46 -->  6 | cost [54.5]
47 -->  2 | cost [25.400000000000002]
48 --> 51 | cost [22.400000000000002]
49 --> 43 | cost [16.95]
50 --> 18 | cost [85.75]
52 -->  2 | cost [16.75]
53 --> 18 | cost [64.2]
54 --> 51 | cost [24.3]
55 --> 51 | cost [29.5]
56 --> 15 | cost [38.0]
58 -->  1 | cost [36.95]

B = 0.0
i★ = 1
j★ = 1
k★ = 1