------------------------------------------------------------
                            α=5.0 —— pr76 —— 76 nodes       
------------------------------------------------------------

——————— Sat, 13 Jan 2024 01:43:20 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—75—77
total time           264.06               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             482970<=482970       subtour              7253.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1057                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—75—77

RING
1  --- 75 | cost [18030.0]
3  ---  4 | cost [3500.0]
3  ---  6 | cost [6840.0]
4  ---  5 | cost [6845.0]
5  --- 20 | cost [5265.0]
6  ---  7 | cost [4530.0]
7  ---  8 | cost [2915.0]
8  ---  9 | cost [10000.0]
9  --- 10 | cost [3500.0]
10 --- 11 | cost [8085.0]
11 --- 17 | cost [6400.0]
13 --- 14 | cost [2610.0]
13 --- 15 | cost [6950.0]
14 --- 15 | cost [8730.0]
17 --- 18 | cost [3335.0]
18 --- 37 | cost [2750.0]
19 --- 20 | cost [3580.0]
19 --- 31 | cost [2750.0]
21 --- 22 | cost [5965.0]
21 --- 25 | cost [2750.0]
22 --- 25 | cost [7810.0]
27 --- 28 | cost [6845.0]
27 --- 43 | cost [8665.0]
28 --- 33 | cost [6815.0]
29 --- 30 | cost [4530.0]
29 --- 32 | cost [6820.0]
30 --- 31 | cost [2915.0]
32 --- 33 | cost [3500.0]
36 --- 37 | cost [2610.0]
36 --- 38 | cost [6950.0]
38 --- 39 | cost [3500.0]
39 --- 40 | cost [7560.0]
40 --- 41 | cost [3335.0]
41 --- 60 | cost [2750.0]
42 --- 43 | cost [3580.0]
42 --- 54 | cost [2750.0]
44 --- 45 | cost [5965.0]
44 --- 48 | cost [2750.0]
45 --- 46 | cost [7165.0]
46 --- 47 | cost [15160.0]
47 --- 48 | cost [5590.0]
49 --- 50 | cost [3500.0]
49 --- 52 | cost [6840.0]
50 --- 66 | cost [8665.0]
51 --- 56 | cost [6815.0]
51 --- 66 | cost [5265.0]
52 --- 53 | cost [4530.0]
53 --- 54 | cost [2915.0]
55 --- 56 | cost [3500.0]
55 --- 58 | cost [8075.0]
57 --- 58 | cost [5590.0]
57 --- 62 | cost [8055.0]
59 --- 60 | cost [2610.0]
59 --- 61 | cost [6950.0]
61 --- 62 | cost [3500.0]
64 --- 71 | cost [15735.0]
64 --- 72 | cost [15735.0]
67 --- 68 | cost [5965.0]
67 --- 69 | cost [12750.0]
68 --- 69 | cost [7165.0]
71 --- 72 | cost [9500.0]
75 --- 77 | cost [18030.0]

STAR
2  -->  1 | cost [5590.0]
12 --> 11 | cost [5590.0]
16 --> 15 | cost [3500.0]
23 --> 22 | cost [7165.0]
24 --> 25 | cost [5590.0]
26 --> 27 | cost [3500.0]
34 --> 40 | cost [6400.0]
35 --> 36 | cost [5820.0]
63 --> 64 | cost [3335.0]
65 --> 66 | cost [3580.0]
70 --> 67 | cost [19525.0]
73 --> 72 | cost [1500.0]
74 --> 14 | cost [15790.0]
76 --> 75 | cost [1500.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Sat, 13 Jan 2024 02:43:59 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 63 hubs —— 1-75-2-6-3-7-8-14-13-15-16-17-11-12-9-10-5-20-19-31-30-26-27-28-33-34-35-36-39-40-41-60-59-61-62-63-64-72-71-65-66-51-56-55-54-53-52-49-50-67-68-69-47-48-44-45-46-24-25-21-22-23-77-1
total time           3609.52 (TL 3600)    gap                  0.089                
blossom time         0                    nb blossom           0.0                  
LB <= UB             476580<=523320       Master/SP costs      523320/0             
Master time          3609.52              SP time              0.0                  
subtour              80581.0              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       17373                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—75—2—6—3—7—8—14—13—15—16—17—11—12—9—10—5—20—19—31—30—26—27—28—33—34—35—36—39—40—41—60—59—61—62—63—64—72—71—65—66—51—56—55—54—53—52—49—50—67—68—69—47—48—44—45—46—24—25—21—22—23—77

RING
1  --- 75 | cost [18030.0]
2  ---  6 | cost [20245.0]
2  --- 75 | cost [18200.0]
3  ---  6 | cost [6840.0]
3  ---  7 | cost [8140.0]
5  --- 10 | cost [6815.0]
5  --- 20 | cost [5265.0]
7  ---  8 | cost [2915.0]
8  --- 14 | cost [18500.0]
9  --- 10 | cost [3500.0]
9  --- 12 | cost [8075.0]
11 --- 12 | cost [5590.0]
11 --- 17 | cost [6400.0]
13 --- 14 | cost [2610.0]
13 --- 15 | cost [6950.0]
15 --- 16 | cost [3500.0]
16 --- 17 | cost [7560.0]
19 --- 20 | cost [3580.0]
19 --- 31 | cost [2750.0]
21 --- 22 | cost [5965.0]
21 --- 25 | cost [2750.0]
22 --- 23 | cost [7165.0]
23 --- 77 | cost [9655.0]
24 --- 25 | cost [5590.0]
24 --- 46 | cost [9655.0]
26 --- 27 | cost [3500.0]
26 --- 30 | cost [8140.0]
27 --- 28 | cost [6845.0]
28 --- 33 | cost [6815.0]
30 --- 31 | cost [2915.0]
33 --- 34 | cost [8085.0]
34 --- 35 | cost [5590.0]
35 --- 36 | cost [5820.0]
36 --- 39 | cost [9955.0]
39 --- 40 | cost [7560.0]
40 --- 41 | cost [3335.0]
41 --- 60 | cost [2750.0]
44 --- 45 | cost [5965.0]
44 --- 48 | cost [2750.0]
45 --- 46 | cost [7165.0]
47 --- 48 | cost [5590.0]
47 --- 69 | cost [9655.0]
49 --- 50 | cost [3500.0]
49 --- 52 | cost [6840.0]
50 --- 67 | cost [15500.0]
51 --- 56 | cost [6815.0]
51 --- 66 | cost [5265.0]
52 --- 53 | cost [4530.0]
53 --- 54 | cost [2915.0]
54 --- 55 | cost [10000.0]
55 --- 56 | cost [3500.0]
59 --- 60 | cost [2610.0]
59 --- 61 | cost [6950.0]
61 --- 62 | cost [3500.0]
62 --- 63 | cost [7560.0]
63 --- 64 | cost [3335.0]
64 --- 72 | cost [15735.0]
65 --- 66 | cost [3580.0]
65 --- 71 | cost [20350.0]
67 --- 68 | cost [5965.0]
68 --- 69 | cost [7165.0]
71 --- 72 | cost [9500.0]

STAR
4  -->  3 | cost [3500.0]
18 --> 17 | cost [3335.0]
29 --> 30 | cost [4530.0]
32 --> 33 | cost [3500.0]
37 --> 36 | cost [2610.0]
38 --> 39 | cost [3500.0]
42 --> 54 | cost [2750.0]
43 --> 28 | cost [5265.0]
57 --> 63 | cost [6400.0]
58 --> 59 | cost [5820.0]
70 --> 67 | cost [19525.0]
73 --> 72 | cost [1500.0]
74 --> 14 | cost [15790.0]
76 --> 75 | cost [1500.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1