------------------------------------------------------------
                           α=7.0 —— eil51 —— 51 nodes       
------------------------------------------------------------

——————— Wed, 24 Jan 2024 18:12:42 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 18 hubs —— 1—22—20—29—50—9—49—5—37—17—4—18—14—24—23—48—27—52
total time           37.42                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2113<=2113           subtour              1132.0               
connectivity cuts    1072.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1234                 n lazycuts edges     4.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—22—20—29—50—9—49—5—37—17—4—18—14—24—23—48—27—52

RING
1  --- 22 | cost [49.0]
1  --- 52 | cost [0.0]
4  --- 17 | cost [56.0]
4  --- 18 | cost [56.0]
5  --- 37 | cost [77.0]
5  --- 49 | cost [56.0]
9  --- 49 | cost [42.0]
9  --- 50 | cost [42.0]
14 --- 18 | cost [70.0]
14 --- 24 | cost [77.0]
17 --- 37 | cost [35.0]
20 --- 22 | cost [105.0]
20 --- 29 | cost [70.0]
23 --- 24 | cost [63.0]
23 --- 48 | cost [63.0]
27 --- 48 | cost [63.0]
27 --- 52 | cost [56.0]
29 --- 50 | cost [77.0]

STAR
2  --> 29 | cost [27.0]
3  --> 20 | cost [24.0]
6  --> 48 | cost [27.0]
7  --> 23 | cost [18.0]
8  --> 48 | cost [27.0]
10 --> 49 | cost [24.0]
11 -->  5 | cost [33.0]
12 -->  5 | cost [27.0]
13 --> 18 | cost [42.0]
15 --> 37 | cost [21.0]
16 --> 50 | cost [18.0]
19 -->  4 | cost [45.0]
21 --> 29 | cost [21.0]
25 --> 14 | cost [18.0]
26 --> 48 | cost [39.0]
28 --> 22 | cost [30.0]
30 -->  9 | cost [24.0]
31 --> 22 | cost [39.0]
32 -->  1 | cost [18.0]
33 --> 37 | cost [54.0]
34 --> 50 | cost [18.0]
35 --> 20 | cost [21.0]
36 --> 20 | cost [39.0]
38 -->  9 | cost [21.0]
39 --> 49 | cost [51.0]
40 -->  4 | cost [75.0]
41 -->  4 | cost [39.0]
42 --> 17 | cost [42.0]
43 --> 24 | cost [36.0]
44 --> 37 | cost [21.0]
45 --> 37 | cost [42.0]
46 --> 27 | cost [27.0]
47 --> 18 | cost [24.0]
51 --> 27 | cost [24.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Wed, 24 Jan 2024 18:13:28 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 18 hubs —— 1-27-48-23-24-14-18-4-17-37-5-49-9-50-29-20-22-52-1
total time           16.77                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2113<=2113           Master/SP costs      2113/0               
Master time          16.76                SP time              0.0                  
subtour              548.0                connectivity cuts    1521.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            0.0                  SP method            poly                 
tildeV               empty                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       2307                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—27—48—23—24—14—18—4—17—37—5—49—9—50—29—20—22—52

RING
1  --- 27 | cost [56.0]
4  --- 17 | cost [56.0]
4  --- 18 | cost [56.0]
5  --- 37 | cost [77.0]
5  --- 49 | cost [56.0]
9  --- 49 | cost [42.0]
9  --- 50 | cost [42.0]
14 --- 18 | cost [70.0]
14 --- 24 | cost [77.0]
17 --- 37 | cost [35.0]
20 --- 22 | cost [105.0]
20 --- 29 | cost [70.0]
22 --- 52 | cost [49.0]
23 --- 24 | cost [63.0]
23 --- 48 | cost [63.0]
27 --- 48 | cost [63.0]
29 --- 50 | cost [77.0]

STAR
2  --> 29 | cost [27.0]
3  --> 20 | cost [24.0]
6  --> 27 | cost [27.0]
7  --> 23 | cost [18.0]
8  --> 48 | cost [27.0]
10 --> 49 | cost [24.0]
11 -->  5 | cost [33.0]
12 -->  5 | cost [27.0]
13 --> 18 | cost [42.0]
15 --> 37 | cost [21.0]
16 --> 50 | cost [18.0]
19 -->  4 | cost [45.0]
21 --> 29 | cost [21.0]
25 --> 14 | cost [18.0]
26 --> 48 | cost [39.0]
28 --> 22 | cost [30.0]
30 -->  9 | cost [24.0]
31 --> 22 | cost [39.0]
32 -->  1 | cost [18.0]
33 --> 37 | cost [54.0]
34 --> 50 | cost [18.0]
35 --> 20 | cost [21.0]
36 --> 20 | cost [39.0]
38 -->  9 | cost [21.0]
39 --> 49 | cost [51.0]
40 -->  4 | cost [75.0]
41 -->  4 | cost [39.0]
42 --> 17 | cost [42.0]
43 --> 24 | cost [36.0]
44 --> 37 | cost [21.0]
45 --> 37 | cost [42.0]
46 --> 27 | cost [27.0]
47 --> 18 | cost [24.0]
51 --> 27 | cost [24.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1