------------------------------------------------------------
                         α=5.0 —— lin105 —— 105 nodes       
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——————— Sat, 13 Jan 2024 21:56:23 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—2—106
total time           320.13               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             65745<=65745         subtour              6687.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       3429                 n lazycuts edges     4.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—2—106

RING
1  ---  2 | cost [155.0]
2  --- 106 | cost [155.0]
3  ---  8 | cost [1460.0]
3  --- 12 | cost [1535.0]
5  ---  9 | cost [2435.0]
5  --- 13 | cost [1410.0]
7  --- 10 | cost [590.0]
7  --- 11 | cost [750.0]
8  ---  9 | cost [510.0]
10 --- 11 | cost [160.0]
12 --- 19 | cost [1135.0]
13 --- 14 | cost [355.0]
14 --- 34 | cost [1915.0]
18 --- 25 | cost [195.0]
18 --- 26 | cost [355.0]
19 --- 24 | cost [195.0]
20 --- 23 | cost [195.0]
20 --- 103 | cost [495.0]
21 --- 22 | cost [155.0]
21 --- 103 | cost [420.0]
22 --- 29 | cost [160.0]
23 --- 24 | cost [905.0]
25 --- 26 | cost [160.0]
29 --- 30 | cost [500.0]
30 --- 31 | cost [280.0]
31 --- 32 | cost [180.0]
32 --- 33 | cost [990.0]
33 --- 36 | cost [1460.0]
34 --- 35 | cost [350.0]
35 --- 38 | cost [1415.0]
36 --- 37 | cost [510.0]
37 --- 39 | cost [2660.0]
38 --- 39 | cost [350.0]
41 --- 43 | cost [335.0]
41 --- 44 | cost [740.0]
43 --- 46 | cost [315.0]
44 --- 47 | cost [315.0]
45 --- 48 | cost [315.0]
45 --- 49 | cost [650.0]
46 --- 52 | cost [315.0]
47 --- 51 | cost [315.0]
48 --- 50 | cost [315.0]
49 --- 56 | cost [1150.0]
50 --- 55 | cost [315.0]
51 --- 54 | cost [315.0]
52 --- 53 | cost [315.0]
53 --- 54 | cost [790.0]
55 --- 56 | cost [315.0]
61 --- 65 | cost [1410.0]
61 --- 66 | cost [1535.0]
62 --- 64 | cost [1565.0]
62 --- 69 | cost [1535.0]
64 --- 72 | cost [985.0]
65 --- 66 | cost [355.0]
67 --- 68 | cost [175.0]
67 --- 71 | cost [420.0]
68 --- 71 | cost [265.0]
69 --- 74 | cost [305.0]
72 --- 77 | cost [195.0]
74 --- 75 | cost [195.0]
75 --- 76 | cost [790.0]
76 --- 80 | cost [155.0]
77 --- 79 | cost [155.0]
78 --- 82 | cost [155.0]
78 --- 83 | cost [365.0]
79 --- 80 | cost [905.0]
82 --- 83 | cost [215.0]
88 --- 94 | cost [1415.0]
88 --- 95 | cost [1535.0]
89 --- 90 | cost [510.0]
89 --- 98 | cost [1535.0]
90 --- 99 | cost [1535.0]
92 --- 96 | cost [595.0]
92 --- 97 | cost [750.0]
94 --- 95 | cost [350.0]
96 --- 101 | cost [745.0]
97 --- 101 | cost [590.0]
98 --- 99 | cost [510.0]

STAR
4  -->  5 | cost [355.0]
6  -->  7 | cost [155.0]
15 --> 103 | cost [500.0]
16 --> 18 | cost [300.0]
17 --> 18 | cost [455.0]
27 --> 24 | cost [160.0]
28 --> 23 | cost [160.0]
40 --> 45 | cost [610.0]
42 --> 43 | cost [475.0]
57 --> 54 | cost [315.0]
58 --> 53 | cost [315.0]
59 --> 56 | cost [780.0]
60 --> 61 | cost [355.0]
63 --> 62 | cost [510.0]
70 --> 74 | cost [460.0]
73 --> 76 | cost [195.0]
81 --> 75 | cost [155.0]
84 --> 83 | cost [315.0]
85 --> 83 | cost [395.0]
86 --> 79 | cost [800.0]
87 --> 88 | cost [350.0]
91 --> 92 | cost [155.0]
93 --> 98 | cost [1460.0]
100 --> 95 | cost [815.0]
102 --> 101 | cost [160.0]
104 --> 45 | cost [1060.0]
105 --> 56 | cost [920.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Sat, 13 Jan 2024 22:57:03 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 23 hubs —— 1-3-8-9-5-13-35-44-53-63-70-74-80-86-83-101-93-90-88-95-25-30-106-1
total time           3610.3 (TL 3600)     gap                  0.482                
blossom time         0                    nb blossom           0.0                  
LB <= UB             65140<=125645        Master/SP costs      125645/0             
Master time          3610.3               SP time              0.0                  
subtour              37650.0              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       13262                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—3—8—9—5—13—35—44—53—63—70—74—80—86—83—101—93—90—88—95—25—30—106

RING
1  ---  3 | cost [1545.0]
3  ---  8 | cost [1460.0]
5  ---  9 | cost [2435.0]
5  --- 13 | cost [1410.0]
8  ---  9 | cost [510.0]
13 --- 35 | cost [2225.0]
25 --- 30 | cost [2215.0]
25 --- 95 | cost [11295.0]
30 --- 106 | cost [3585.0]
35 --- 44 | cost [4210.0]
44 --- 53 | cost [1230.0]
53 --- 63 | cost [1890.0]
63 --- 70 | cost [1535.0]
70 --- 74 | cost [460.0]
74 --- 80 | cost [865.0]
80 --- 86 | cost [980.0]
83 --- 86 | cost [1165.0]
83 --- 101 | cost [3295.0]
88 --- 90 | cost [2435.0]
88 --- 95 | cost [1535.0]
90 --- 93 | cost [1990.0]
93 --- 101 | cost [1965.0]

STAR
2  -->  1 | cost [155.0]
4  -->  5 | cost [355.0]
6  -->  1 | cost [750.0]
7  -->  1 | cost [905.0]
10 -->  1 | cost [1495.0]
11 -->  1 | cost [1655.0]
12 -->  3 | cost [1535.0]
14 --> 13 | cost [355.0]
15 --> 30 | cost [1220.0]
16 --> 25 | cost [485.0]
17 --> 25 | cost [580.0]
18 --> 25 | cost [195.0]
19 --> 25 | cost [815.0]
20 --> 30 | cost [785.0]
21 --> 30 | cost [740.0]
22 --> 30 | cost [615.0]
23 --> 30 | cost [645.0]
24 --> 25 | cost [790.0]
26 --> 25 | cost [160.0]
27 --> 25 | cost [805.0]
28 --> 30 | cost [550.0]
29 --> 30 | cost [500.0]
31 --> 30 | cost [280.0]
32 --> 30 | cost [460.0]
33 --> 30 | cost [885.0]
34 --> 35 | cost [350.0]
36 --> 25 | cost [1580.0]
37 --> 25 | cost [1660.0]
38 --> 35 | cost [1415.0]
39 --> 35 | cost [1535.0]
40 --> 44 | cost [1515.0]
41 --> 44 | cost [740.0]
42 --> 44 | cost [1210.0]
43 --> 44 | cost [790.0]
45 --> 44 | cost [1025.0]
46 --> 53 | cost [630.0]
47 --> 44 | cost [315.0]
48 --> 44 | cost [1070.0]
49 --> 44 | cost [1640.0]
50 --> 44 | cost [1205.0]
51 --> 44 | cost [630.0]
52 --> 53 | cost [315.0]
54 --> 53 | cost [790.0]
55 --> 44 | cost [1395.0]
56 --> 44 | cost [1625.0]
57 --> 53 | cost [850.0]
58 --> 53 | cost [315.0]
59 --> 44 | cost [2405.0]
60 --> 63 | cost [2775.0]
61 --> 63 | cost [2435.0]
62 --> 63 | cost [510.0]
64 --> 80 | cost [1440.0]
65 --> 88 | cost [2225.0]
66 --> 88 | cost [2045.0]
67 --> 83 | cost [1090.0]
68 --> 83 | cost [925.0]
69 --> 74 | cost [305.0]
71 --> 83 | cost [795.0]
72 --> 80 | cost [970.0]
73 --> 80 | cost [350.0]
75 --> 74 | cost [195.0]
76 --> 80 | cost [155.0]
77 --> 83 | cost [900.0]
78 --> 83 | cost [365.0]
79 --> 86 | cost [800.0]
81 --> 74 | cost [350.0]
82 --> 83 | cost [215.0]
84 --> 83 | cost [315.0]
85 --> 83 | cost [395.0]
87 --> 88 | cost [350.0]
89 --> 90 | cost [510.0]
91 --> 101 | cost [1495.0]
92 --> 101 | cost [1340.0]
94 --> 95 | cost [350.0]
96 --> 101 | cost [745.0]
97 --> 101 | cost [590.0]
98 --> 93 | cost [1460.0]
99 --> 90 | cost [1535.0]
100 --> 95 | cost [815.0]
102 --> 101 | cost [160.0]
103 --> 30 | cost [790.0]
104 --> 44 | cost [1170.0]
105 --> 53 | cost [1825.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1