------------------------------------------------------------
                          α=7.0 —— rd100 —— 100 nodes       
------------------------------------------------------------

——————— Thu, 25 Jan 2024 00:09:10 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 45 hubs —— 1—15—63—97—86—21—82—4—32—78—20—74—17—73—50—46—56—28—77—59—76—88—66—98—94—53—47—57—52—100—39—55—40—42—7—34—61—5—81—80—65—51—8—60—101
total time           91.69                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             40915<=40915         subtour              842.0                
connectivity cuts    1242.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1321                 n lazycuts edges     5.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—15—63—97—86—21—82—4—32—78—20—74—17—73—50—46—56—28—77—59—76—88—66—98—94—53—47—57—52—100—39—55—40—42—7—34—61—5—81—80—65—51—8—60—101

RING
1  --- 15 | cost [910.0]
1  --- 101 | cost [0.0]
4  --- 32 | cost [294.0]
4  --- 82 | cost [560.0]
5  --- 61 | cost [350.0]
5  --- 81 | cost [896.0]
7  --- 34 | cost [399.0]
7  --- 42 | cost [511.0]
8  --- 51 | cost [1302.0]
8  --- 60 | cost [238.0]
15 --- 63 | cost [210.0]
17 --- 73 | cost [966.0]
17 --- 74 | cost [1470.0]
20 --- 74 | cost [133.0]
20 --- 78 | cost [273.0]
21 --- 82 | cost [294.0]
21 --- 86 | cost [609.0]
28 --- 56 | cost [896.0]
28 --- 77 | cost [518.0]
32 --- 78 | cost [658.0]
34 --- 61 | cost [756.0]
39 --- 55 | cost [784.0]
39 --- 100 | cost [1134.0]
40 --- 42 | cost [616.0]
40 --- 55 | cost [833.0]
46 --- 50 | cost [35.0]
46 --- 56 | cost [175.0]
47 --- 53 | cost [693.0]
47 --- 57 | cost [700.0]
50 --- 73 | cost [189.0]
51 --- 65 | cost [581.0]
52 --- 57 | cost [1141.0]
52 --- 100 | cost [1001.0]
53 --- 94 | cost [798.0]
59 --- 76 | cost [910.0]
59 --- 77 | cost [336.0]
60 --- 101 | cost [154.0]
63 --- 97 | cost [56.0]
65 --- 80 | cost [420.0]
66 --- 88 | cost [714.0]
66 --- 98 | cost [504.0]
76 --- 88 | cost [875.0]
80 --- 81 | cost [469.0]
86 --- 97 | cost [91.0]
94 --- 98 | cost [532.0]

STAR
2  --> 88 | cost [753.0]
3  -->  4 | cost [441.0]
6  --> 53 | cost [177.0]
9  --> 74 | cost [243.0]
10 --> 78 | cost [468.0]
11 --> 61 | cost [243.0]
12 --> 82 | cost [237.0]
13 --> 97 | cost [270.0]
14 --> 82 | cost [231.0]
16 --> 98 | cost [354.0]
18 -->  1 | cost [264.0]
19 --> 46 | cost [252.0]
22 -->  5 | cost [279.0]
23 --> 88 | cost [597.0]
24 --> 42 | cost [204.0]
25 --> 42 | cost [327.0]
26 --> 74 | cost [117.0]
27 --> 56 | cost [273.0]
29 --> 100 | cost [282.0]
30 --> 80 | cost [252.0]
31 --> 88 | cost [177.0]
33 --> 78 | cost [345.0]
35 --> 100 | cost [417.0]
36 --> 57 | cost [300.0]
37 --> 28 | cost [108.0]
38 --> 17 | cost [222.0]
41 --> 34 | cost [291.0]
43 --> 42 | cost [198.0]
44 --> 100 | cost [219.0]
45 --> 52 | cost [378.0]
48 --> 80 | cost [231.0]
49 --> 21 | cost [105.0]
54 --> 73 | cost [240.0]
58 --> 76 | cost [288.0]
62 -->  1 | cost [282.0]
64 --> 47 | cost [606.0]
67 --> 97 | cost [96.0]
68 --> 51 | cost [327.0]
69 -->  8 | cost [183.0]
70 --> 17 | cost [330.0]
71 -->  8 | cost [378.0]
72 --> 17 | cost [162.0]
75 --> 21 | cost [75.0]
79 --> 53 | cost [195.0]
83 --> 51 | cost [102.0]
84 --> 88 | cost [57.0]
85 --> 82 | cost [123.0]
87 --> 15 | cost [360.0]
89 --> 88 | cost [687.0]
90 --> 51 | cost [126.0]
91 --> 65 | cost [360.0]
92 --> 50 | cost [246.0]
93 --> 77 | cost [132.0]
95 --> 59 | cost [57.0]
96 --> 39 | cost [120.0]
99 --> 53 | cost [144.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 25 Jan 2024 00:11:04 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 45 hubs —— 1-60-8-51-65-80-81-5-61-34-7-42-40-55-39-100-52-57-47-53-94-98-66-88-76-59-77-28-56-46-50-73-17-74-20-78-32-4-82-21-86-97-63-15-101-1
total time           84.54                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             40915<=40915         Master/SP costs      40915/0              
Master time          84.54                SP time              0.0                  
subtour              642.0                connectivity cuts    1210.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            0.0                  SP method            poly                 
tildeV               empty                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1265                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—60—8—51—65—80—81—5—61—34—7—42—40—55—39—100—52—57—47—53—94—98—66—88—76—59—77—28—56—46—50—73—17—74—20—78—32—4—82—21—86—97—63—15—101

RING
1  --- 60 | cost [154.0]
1  --- 101 | cost [0.0]
4  --- 32 | cost [294.0]
4  --- 82 | cost [560.0]
5  --- 61 | cost [350.0]
5  --- 81 | cost [896.0]
7  --- 34 | cost [399.0]
7  --- 42 | cost [511.0]
8  --- 51 | cost [1302.0]
8  --- 60 | cost [238.0]
15 --- 63 | cost [210.0]
15 --- 101 | cost [910.0]
17 --- 73 | cost [966.0]
17 --- 74 | cost [1470.0]
20 --- 74 | cost [133.0]
20 --- 78 | cost [273.0]
21 --- 82 | cost [294.0]
21 --- 86 | cost [609.0]
28 --- 56 | cost [896.0]
28 --- 77 | cost [518.0]
32 --- 78 | cost [658.0]
34 --- 61 | cost [756.0]
39 --- 55 | cost [784.0]
39 --- 100 | cost [1134.0]
40 --- 42 | cost [616.0]
40 --- 55 | cost [833.0]
46 --- 50 | cost [35.0]
46 --- 56 | cost [175.0]
47 --- 53 | cost [693.0]
47 --- 57 | cost [700.0]
50 --- 73 | cost [189.0]
51 --- 65 | cost [581.0]
52 --- 57 | cost [1141.0]
52 --- 100 | cost [1001.0]
53 --- 94 | cost [798.0]
59 --- 76 | cost [910.0]
59 --- 77 | cost [336.0]
63 --- 97 | cost [56.0]
65 --- 80 | cost [420.0]
66 --- 88 | cost [714.0]
66 --- 98 | cost [504.0]
76 --- 88 | cost [875.0]
80 --- 81 | cost [469.0]
86 --- 97 | cost [91.0]
94 --- 98 | cost [532.0]

STAR
2  --> 88 | cost [753.0]
3  -->  4 | cost [441.0]
6  --> 53 | cost [177.0]
9  --> 74 | cost [243.0]
10 --> 78 | cost [468.0]
11 --> 61 | cost [243.0]
12 --> 82 | cost [237.0]
13 --> 97 | cost [270.0]
14 --> 82 | cost [231.0]
16 --> 98 | cost [354.0]
18 -->  1 | cost [264.0]
19 --> 46 | cost [252.0]
22 -->  5 | cost [279.0]
23 --> 88 | cost [597.0]
24 --> 42 | cost [204.0]
25 --> 42 | cost [327.0]
26 --> 74 | cost [117.0]
27 --> 56 | cost [273.0]
29 --> 100 | cost [282.0]
30 --> 80 | cost [252.0]
31 --> 88 | cost [177.0]
33 --> 78 | cost [345.0]
35 --> 100 | cost [417.0]
36 --> 57 | cost [300.0]
37 --> 28 | cost [108.0]
38 --> 17 | cost [222.0]
41 --> 34 | cost [291.0]
43 --> 42 | cost [198.0]
44 --> 100 | cost [219.0]
45 --> 52 | cost [378.0]
48 --> 80 | cost [231.0]
49 --> 21 | cost [105.0]
54 --> 73 | cost [240.0]
58 --> 76 | cost [288.0]
62 -->  1 | cost [282.0]
64 --> 47 | cost [606.0]
67 --> 97 | cost [96.0]
68 --> 51 | cost [327.0]
69 -->  8 | cost [183.0]
70 --> 17 | cost [330.0]
71 -->  8 | cost [378.0]
72 --> 17 | cost [162.0]
75 --> 21 | cost [75.0]
79 --> 53 | cost [195.0]
83 --> 51 | cost [102.0]
84 --> 88 | cost [57.0]
85 --> 82 | cost [123.0]
87 --> 15 | cost [360.0]
89 --> 88 | cost [687.0]
90 --> 51 | cost [126.0]
91 --> 65 | cost [360.0]
92 --> 50 | cost [246.0]
93 --> 77 | cost [132.0]
95 --> 59 | cost [57.0]
96 --> 39 | cost [120.0]
99 --> 53 | cost [144.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1