------------------------------------------------------------
                            α=3.0 —— st70 —— 70 nodes       
------------------------------------------------------------

——————— Mon, 15 Jan 2024 19:54:14 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 6 hubs —— 1—36—23—47—16—71
total time           151.67               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             1971<=1971           subtour              5668.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1474                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—36—23—47—16—71

RING
1  --- 36 | cost [12.0]
2  ---  4 | cost [27.0]
2  ---  7 | cost [15.0]
3  --- 14 | cost [48.0]
3  --- 32 | cost [18.0]
4  --- 18 | cost [12.0]
5  --- 10 | cost [18.0]
5  --- 53 | cost [27.0]
6  --- 41 | cost [18.0]
6  --- 42 | cost [27.0]
7  --- 19 | cost [33.0]
8  --- 26 | cost [24.0]
8  --- 28 | cost [12.0]
9  --- 27 | cost [42.0]
9  --- 40 | cost [33.0]
10 --- 52 | cost [18.0]
11 --- 48 | cost [27.0]
11 --- 64 | cost [72.0]
12 --- 33 | cost [30.0]
12 --- 34 | cost [24.0]
13 --- 29 | cost [6.0]
13 --- 31 | cost [18.0]
14 --- 20 | cost [21.0]
15 --- 24 | cost [12.0]
15 --- 57 | cost [21.0]
16 --- 47 | cost [18.0]
16 --- 71 | cost [27.0]
17 --- 21 | cost [42.0]
17 --- 43 | cost [12.0]
18 --- 32 | cost [39.0]
19 --- 24 | cost [60.0]
20 --- 30 | cost [21.0]
21 --- 34 | cost [3.0]
22 --- 38 | cost [24.0]
22 --- 59 | cost [18.0]
23 --- 36 | cost [33.0]
23 --- 47 | cost [27.0]
25 --- 45 | cost [24.0]
25 --- 46 | cost [57.0]
26 --- 55 | cost [48.0]
27 --- 46 | cost [18.0]
28 --- 49 | cost [42.0]
29 --- 70 | cost [18.0]
30 --- 44 | cost [45.0]
31 --- 69 | cost [6.0]
33 --- 62 | cost [54.0]
35 --- 69 | cost [36.0]
35 --- 70 | cost [42.0]
37 --- 50 | cost [30.0]
37 --- 58 | cost [3.0]
38 --- 59 | cost [24.0]
39 --- 45 | cost [21.0]
39 --- 61 | cost [27.0]
40 --- 61 | cost [15.0]
41 --- 42 | cost [27.0]
43 --- 68 | cost [45.0]
44 --- 68 | cost [12.0]
48 --- 67 | cost [15.0]
49 --- 55 | cost [24.0]
50 --- 58 | cost [27.0]
51 --- 56 | cost [27.0]
51 --- 60 | cost [48.0]
52 --- 60 | cost [27.0]
53 --- 66 | cost [54.0]
54 --- 62 | cost [33.0]
54 --- 67 | cost [39.0]
56 --- 65 | cost [24.0]
57 --- 63 | cost [42.0]
63 --- 66 | cost [18.0]
64 --- 65 | cost [60.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Mon, 15 Jan 2024 19:55:35 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 71 hubs —— 1-36-29-13-70-35-31-69-38-59-22-66-63-57-15-24-19-7-2-4-18-42-32-3-8-26-55-49-28-14-20-30-44-68-27-46-25-45-39-61-40-9-17-43-41-6-53-5-10-52-60-12-21-34-33-62-54-67-48-11-64-65-56-51-50-58-37-47-16-23-71-1
total time           51.41                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2025<=2025           Master/SP costs      2025/0               
Master time          51.41                SP time              0.0                  
subtour              4778.0               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       1925                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—36—29—13—70—35—31—69—38—59—22—66—63—57—15—24—19—7—2—4—18—42—32—3—8—26—55—49—28—14—20—30—44—68—27—46—25—45—39—61—40—9—17—43—41—6—53—5—10—52—60—12—21—34—33—62—54—67—48—11—64—65—56—51—50—58—37—47—16—23—71

RING
1  --- 36 | cost [12.0]
2  ---  4 | cost [27.0]
2  ---  7 | cost [15.0]
3  ---  8 | cost [36.0]
3  --- 32 | cost [18.0]
4  --- 18 | cost [12.0]
5  --- 10 | cost [18.0]
5  --- 53 | cost [27.0]
6  --- 41 | cost [18.0]
6  --- 53 | cost [60.0]
7  --- 19 | cost [33.0]
8  --- 26 | cost [24.0]
9  --- 17 | cost [48.0]
9  --- 40 | cost [33.0]
10 --- 52 | cost [18.0]
11 --- 48 | cost [27.0]
11 --- 64 | cost [72.0]
12 --- 21 | cost [24.0]
12 --- 60 | cost [27.0]
13 --- 29 | cost [6.0]
13 --- 70 | cost [18.0]
14 --- 20 | cost [21.0]
14 --- 28 | cost [42.0]
15 --- 24 | cost [12.0]
15 --- 57 | cost [21.0]
16 --- 23 | cost [30.0]
16 --- 47 | cost [18.0]
17 --- 43 | cost [12.0]
18 --- 42 | cost [18.0]
19 --- 24 | cost [60.0]
20 --- 30 | cost [21.0]
21 --- 34 | cost [3.0]
22 --- 59 | cost [18.0]
22 --- 66 | cost [18.0]
23 --- 71 | cost [27.0]
25 --- 45 | cost [24.0]
25 --- 46 | cost [57.0]
26 --- 55 | cost [48.0]
27 --- 46 | cost [18.0]
27 --- 68 | cost [63.0]
28 --- 49 | cost [42.0]
29 --- 36 | cost [36.0]
30 --- 44 | cost [45.0]
31 --- 35 | cost [39.0]
31 --- 69 | cost [6.0]
32 --- 42 | cost [39.0]
33 --- 34 | cost [42.0]
33 --- 62 | cost [54.0]
35 --- 70 | cost [42.0]
37 --- 47 | cost [30.0]
37 --- 58 | cost [3.0]
38 --- 59 | cost [24.0]
38 --- 69 | cost [27.0]
39 --- 45 | cost [21.0]
39 --- 61 | cost [27.0]
40 --- 61 | cost [15.0]
41 --- 43 | cost [33.0]
44 --- 68 | cost [12.0]
48 --- 67 | cost [15.0]
49 --- 55 | cost [24.0]
50 --- 51 | cost [48.0]
50 --- 58 | cost [27.0]
51 --- 56 | cost [27.0]
52 --- 60 | cost [27.0]
54 --- 62 | cost [33.0]
54 --- 67 | cost [39.0]
56 --- 65 | cost [24.0]
57 --- 63 | cost [42.0]
63 --- 66 | cost [18.0]
64 --- 65 | cost [60.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1