------------------------------------------------------------
                            α=5.0 —— st70 —— 70 nodes       
------------------------------------------------------------

——————— Fri, 12 Jan 2024 23:12:11 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—36—71
total time           619.14               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3075<=3075           subtour              24708.0              
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       4723                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—36—71

RING
1  --- 36 | cost [20.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 40 | cost [55.0]
9  --- 43 | cost [85.0]
10 --- 52 | cost [30.0]
12 --- 33 | cost [50.0]
12 --- 34 | cost [40.0]
13 --- 31 | cost [30.0]
13 --- 70 | cost [30.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
15 --- 24 | cost [20.0]
15 --- 57 | cost [35.0]
17 --- 21 | cost [70.0]
17 --- 43 | cost [20.0]
18 --- 42 | cost [30.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
21 --- 34 | cost [5.0]
22 --- 59 | cost [30.0]
22 --- 63 | cost [20.0]
23 --- 38 | cost [55.0]
23 --- 47 | cost [45.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
30 --- 44 | cost [75.0]
31 --- 70 | cost [30.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
36 --- 71 | cost [20.0]
38 --- 59 | cost [40.0]
40 --- 45 | cost [45.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
47 --- 58 | cost [50.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
54 --- 67 | cost [65.0]
56 --- 65 | cost [40.0]
56 --- 67 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
6  --> 42 | cost [45.0]
11 --> 56 | cost [45.0]
16 --> 47 | cost [30.0]
25 --> 45 | cost [40.0]
29 --> 13 | cost [10.0]
35 --> 31 | cost [65.0]
37 --> 58 | cost [5.0]
39 --> 45 | cost [35.0]
41 --> 42 | cost [45.0]
48 --> 67 | cost [25.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
61 --> 40 | cost [25.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 63 | cost [30.0]
69 --> 31 | cost [10.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Fri, 12 Jan 2024 23:35:33 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 52 hubs —— 1-16-47-58-50-5-10-52-60-51-65-56-67-48-54-33-12-34-21-17-9-40-45-46-27-68-44-30-20-14-28-49-26-8-3-32-42-18-4-2-7-19-24-57-63-22-38-69-31-13-23-71-1
total time           1371.26              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3110<=3110           Master/SP costs      3110/0               
Master time          1371.26              SP time              0.0                  
subtour              106538.0             connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            0.0                  SP method            poly                 
tildeV               empty                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       13372                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—16—47—58—50—5—10—52—60—51—65—56—67—48—54—33—12—34—21—17—9—40—45—46—27—68—44—30—20—14—28—49—26—8—3—32—42—18—4—2—7—19—24—57—63—22—38—69—31—13—23—71

RING
1  --- 16 | cost [45.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 17 | cost [80.0]
9  --- 40 | cost [55.0]
10 --- 52 | cost [30.0]
12 --- 33 | cost [50.0]
12 --- 34 | cost [40.0]
13 --- 23 | cost [60.0]
13 --- 31 | cost [30.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
16 --- 47 | cost [30.0]
17 --- 21 | cost [70.0]
18 --- 42 | cost [30.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
21 --- 34 | cost [5.0]
22 --- 38 | cost [40.0]
22 --- 63 | cost [20.0]
23 --- 71 | cost [45.0]
24 --- 57 | cost [35.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
30 --- 44 | cost [75.0]
31 --- 69 | cost [10.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
38 --- 69 | cost [45.0]
40 --- 45 | cost [45.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
47 --- 58 | cost [50.0]
48 --- 54 | cost [65.0]
48 --- 67 | cost [25.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
56 --- 65 | cost [40.0]
56 --- 67 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
6  --> 42 | cost [45.0]
11 --> 48 | cost [45.0]
15 --> 24 | cost [20.0]
25 --> 45 | cost [40.0]
29 --> 13 | cost [10.0]
35 --> 69 | cost [60.0]
36 -->  1 | cost [20.0]
37 --> 58 | cost [5.0]
39 --> 45 | cost [35.0]
41 --> 42 | cost [45.0]
43 --> 17 | cost [20.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
59 --> 22 | cost [30.0]
61 --> 40 | cost [25.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 22 | cost [30.0]
70 --> 13 | cost [30.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1