------------------------------------------------------------
                        α=3.0 —— brazil58 —— 58 nodes       
------------------------------------------------------------

——————— Fri, 12 Jan 2024 19:59:32 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 59 hubs —— 1—18—44—24—58—5—23—57—12—27—43—49—47—51—52—10—35—41—2—54—55—48—3—29—33—45—56—46—34—15—37—14—28—6—19—26—17—36—21—39—11—7—31—38—42—16—22—8—4—50—53—20—32—9—25—40—13—30—59
total time           21.83                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             76185<=76185         subtour              3381.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1011                 n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—18—44—24—58—5—23—57—12—27—43—49—47—51—52—10—35—41—2—54—55—48—3—29—33—45—56—46—34—15—37—14—28—6—19—26—17—36—21—39—11—7—31—38—42—16—22—8—4—50—53—20—32—9—25—40—13—30—59

RING
1  --- 18 | cost [990.0]
2  --- 41 | cost [294.0]
2  --- 54 | cost [411.0]
3  --- 29 | cost [861.0]
3  --- 48 | cost [837.0]
4  ---  8 | cost [6360.0]
4  --- 50 | cost [2418.0]
5  --- 23 | cost [972.0]
5  --- 58 | cost [2553.0]
6  --- 19 | cost [414.0]
6  --- 28 | cost [567.0]
7  --- 11 | cost [11490.0]
7  --- 31 | cost [2355.0]
8  --- 22 | cost [627.0]
9  --- 25 | cost [390.0]
9  --- 32 | cost [684.0]
10 --- 35 | cost [225.0]
10 --- 52 | cost [240.0]
11 --- 39 | cost [1365.0]
12 --- 27 | cost [771.0]
12 --- 57 | cost [744.0]
13 --- 30 | cost [633.0]
13 --- 40 | cost [405.0]
14 --- 28 | cost [672.0]
14 --- 37 | cost [411.0]
15 --- 34 | cost [786.0]
15 --- 37 | cost [1584.0]
16 --- 22 | cost [2796.0]
16 --- 42 | cost [5970.0]
17 --- 26 | cost [387.0]
17 --- 36 | cost [342.0]
18 --- 44 | cost [342.0]
19 --- 26 | cost [534.0]
20 --- 32 | cost [1611.0]
20 --- 53 | cost [1902.0]
21 --- 36 | cost [1572.0]
21 --- 39 | cost [1821.0]
23 --- 57 | cost [1296.0]
24 --- 44 | cost [1356.0]
24 --- 58 | cost [777.0]
25 --- 40 | cost [375.0]
27 --- 43 | cost [552.0]
29 --- 33 | cost [1434.0]
30 --- 59 | cost [921.0]
31 --- 38 | cost [2703.0]
33 --- 45 | cost [639.0]
34 --- 46 | cost [687.0]
35 --- 41 | cost [444.0]
38 --- 42 | cost [1632.0]
43 --- 49 | cost [1017.0]
45 --- 56 | cost [936.0]
46 --- 56 | cost [762.0]
47 --- 49 | cost [258.0]
47 --- 51 | cost [216.0]
48 --- 55 | cost [864.0]
50 --- 53 | cost [1338.0]
51 --- 52 | cost [306.0]
54 --- 55 | cost [336.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Fri, 12 Jan 2024 20:00:14 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 59 hubs —— 1-18-44-24-58-5-23-57-12-27-43-49-47-51-52-10-35-41-2-54-55-48-3-29-33-45-56-46-34-15-37-14-28-6-19-26-17-36-21-39-11-7-31-38-42-16-22-8-4-50-53-20-32-9-25-40-13-30-59-1
total time           12.99                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             76185<=76185         Master/SP costs      76185/0              
Master time          12.99                SP time              0.0                  
subtour              1438.0               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       968                  
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—18—44—24—58—5—23—57—12—27—43—49—47—51—52—10—35—41—2—54—55—48—3—29—33—45—56—46—34—15—37—14—28—6—19—26—17—36—21—39—11—7—31—38—42—16—22—8—4—50—53—20—32—9—25—40—13—30—59

RING
1  --- 18 | cost [990.0]
2  --- 41 | cost [294.0]
2  --- 54 | cost [411.0]
3  --- 29 | cost [861.0]
3  --- 48 | cost [837.0]
4  ---  8 | cost [6360.0]
4  --- 50 | cost [2418.0]
5  --- 23 | cost [972.0]
5  --- 58 | cost [2553.0]
6  --- 19 | cost [414.0]
6  --- 28 | cost [567.0]
7  --- 11 | cost [11490.0]
7  --- 31 | cost [2355.0]
8  --- 22 | cost [627.0]
9  --- 25 | cost [390.0]
9  --- 32 | cost [684.0]
10 --- 35 | cost [225.0]
10 --- 52 | cost [240.0]
11 --- 39 | cost [1365.0]
12 --- 27 | cost [771.0]
12 --- 57 | cost [744.0]
13 --- 30 | cost [633.0]
13 --- 40 | cost [405.0]
14 --- 28 | cost [672.0]
14 --- 37 | cost [411.0]
15 --- 34 | cost [786.0]
15 --- 37 | cost [1584.0]
16 --- 22 | cost [2796.0]
16 --- 42 | cost [5970.0]
17 --- 26 | cost [387.0]
17 --- 36 | cost [342.0]
18 --- 44 | cost [342.0]
19 --- 26 | cost [534.0]
20 --- 32 | cost [1611.0]
20 --- 53 | cost [1902.0]
21 --- 36 | cost [1572.0]
21 --- 39 | cost [1821.0]
23 --- 57 | cost [1296.0]
24 --- 44 | cost [1356.0]
24 --- 58 | cost [777.0]
25 --- 40 | cost [375.0]
27 --- 43 | cost [552.0]
29 --- 33 | cost [1434.0]
30 --- 59 | cost [921.0]
31 --- 38 | cost [2703.0]
33 --- 45 | cost [639.0]
34 --- 46 | cost [687.0]
35 --- 41 | cost [444.0]
38 --- 42 | cost [1632.0]
43 --- 49 | cost [1017.0]
45 --- 56 | cost [936.0]
46 --- 56 | cost [762.0]
47 --- 49 | cost [258.0]
47 --- 51 | cost [216.0]
48 --- 55 | cost [864.0]
50 --- 53 | cost [1338.0]
51 --- 52 | cost [306.0]
54 --- 55 | cost [336.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1