------------------------------------------------------------
                           α=5.0 —— eil51 —— 51 nodes       
------------------------------------------------------------

——————— Wed, 03 Jan 2024 23:42:34 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 40 hubs —— 1—27—51—46—12—47—18—4—17—37—15—45—44—42—19—41—13—25—14—24—23—48—8—31—28—3—35—20—29—21—50—34—30—10—49—9—38—11—32—52
total time           8.07                 gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             1995<=1995           subtour              516.0                
connectivity cuts    45.0                 uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       68                   n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—27—51—46—12—47—18—4—17—37—15—45—44—42—19—41—13—25—14—24—23—48—8—31—28—3—35—20—29—21—50—34—30—10—49—9—38—11—32—52

RING
1  --- 27 | cost [40.0]
3  --- 28 | cost [45.0]
3  --- 35 | cost [50.0]
4  --- 17 | cost [40.0]
4  --- 18 | cost [40.0]
8  --- 31 | cost [45.0]
8  --- 48 | cost [45.0]
9  --- 38 | cost [35.0]
9  --- 49 | cost [30.0]
10 --- 30 | cost [45.0]
10 --- 49 | cost [40.0]
11 --- 32 | cost [30.0]
11 --- 38 | cost [35.0]
12 --- 46 | cost [35.0]
12 --- 47 | cost [30.0]
13 --- 25 | cost [65.0]
13 --- 41 | cost [45.0]
14 --- 24 | cost [55.0]
14 --- 25 | cost [30.0]
15 --- 37 | cost [35.0]
15 --- 45 | cost [35.0]
17 --- 37 | cost [25.0]
18 --- 47 | cost [40.0]
19 --- 41 | cost [25.0]
19 --- 42 | cost [45.0]
20 --- 29 | cost [50.0]
20 --- 35 | cost [35.0]
21 --- 29 | cost [35.0]
21 --- 50 | cost [40.0]
23 --- 24 | cost [45.0]
23 --- 48 | cost [45.0]
27 --- 51 | cost [40.0]
28 --- 31 | cost [30.0]
30 --- 34 | cost [35.0]
32 --- 52 | cost [30.0]
34 --- 50 | cost [30.0]
42 --- 44 | cost [50.0]
44 --- 45 | cost [50.0]
46 --- 51 | cost [10.0]

STAR
2  --> 29 | cost [45.0]
5  --> 38 | cost [35.0]
6  --> 48 | cost [45.0]
7  --> 23 | cost [30.0]
16 --> 50 | cost [30.0]
22 -->  1 | cost [35.0]
26 -->  8 | cost [35.0]
33 --> 45 | cost [35.0]
36 --> 35 | cost [30.0]
39 --> 10 | cost [50.0]
40 --> 19 | cost [55.0]
43 --> 24 | cost [60.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Wed, 03 Jan 2024 23:43:16 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 40 hubs —— 1-32-11-38-9-49-10-30-34-50-21-29-20-35-3-28-31-8-48-23-24-14-25-13-41-19-42-44-45-15-37-17-4-18-47-12-46-51-27-52-1
total time           14.28                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             1995<=1995           Master/SP costs      1995/0               
Master time          14.28                SP time              0.0                  
subtour              4592.0               connectivity cuts    517.0                
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       775                  
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—32—11—38—9—49—10—30—34—50—21—29—20—35—3—28—31—8—48—23—24—14—25—13—41—19—42—44—45—15—37—17—4—18—47—12—46—51—27—52

RING
1  --- 32 | cost [30.0]
3  --- 28 | cost [45.0]
3  --- 35 | cost [50.0]
4  --- 17 | cost [40.0]
4  --- 18 | cost [40.0]
8  --- 31 | cost [45.0]
8  --- 48 | cost [45.0]
9  --- 38 | cost [35.0]
9  --- 49 | cost [30.0]
10 --- 30 | cost [45.0]
10 --- 49 | cost [40.0]
11 --- 32 | cost [30.0]
11 --- 38 | cost [35.0]
12 --- 46 | cost [35.0]
12 --- 47 | cost [30.0]
13 --- 25 | cost [65.0]
13 --- 41 | cost [45.0]
14 --- 24 | cost [55.0]
14 --- 25 | cost [30.0]
15 --- 37 | cost [35.0]
15 --- 45 | cost [35.0]
17 --- 37 | cost [25.0]
18 --- 47 | cost [40.0]
19 --- 41 | cost [25.0]
19 --- 42 | cost [45.0]
20 --- 29 | cost [50.0]
20 --- 35 | cost [35.0]
21 --- 29 | cost [35.0]
21 --- 50 | cost [40.0]
23 --- 24 | cost [45.0]
23 --- 48 | cost [45.0]
27 --- 51 | cost [40.0]
27 --- 52 | cost [40.0]
28 --- 31 | cost [30.0]
30 --- 34 | cost [35.0]
34 --- 50 | cost [30.0]
42 --- 44 | cost [50.0]
44 --- 45 | cost [50.0]
46 --- 51 | cost [10.0]

STAR
2  --> 29 | cost [45.0]
5  --> 38 | cost [35.0]
6  --> 48 | cost [45.0]
7  --> 23 | cost [30.0]
16 --> 50 | cost [30.0]
22 -->  1 | cost [35.0]
26 -->  8 | cost [35.0]
33 --> 45 | cost [35.0]
36 --> 35 | cost [30.0]
39 --> 10 | cost [50.0]
40 --> 19 | cost [55.0]
43 --> 24 | cost [60.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1