------------------------------------------------------------
                           α=7.0 —— u159 —— 159 nodes       
------------------------------------------------------------

——————— Wed, 17 Jan 2024 01:03:07 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—159—160
total time           134.31               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             204039<=204042       subtour              1694.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1120                 n lazycuts edges     3.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—160

RING
1  --- 159 | cost [1981.0]
2  ---  4 | cost [1400.0]
2  --- 156 | cost [2527.0]
4  --- 156 | cost [1568.0]
7  --- 152 | cost [700.0]
7  --- 153 | cost [1400.0]
13 --- 14 | cost [1400.0]
13 --- 143 | cost [1568.0]
14 --- 142 | cost [2884.0]
18 --- 20 | cost [2100.0]
18 --- 31 | cost [3773.0]
19 --- 20 | cost [987.0]
19 --- 31 | cost [2800.0]
25 --- 26 | cost [3129.0]
25 --- 27 | cost [2100.0]
26 --- 27 | cost [1568.0]
36 --- 38 | cost [1568.0]
36 --- 39 | cost [3500.0]
38 --- 39 | cost [2212.0]
45 --- 46 | cost [1400.0]
45 --- 47 | cost [2800.0]
46 --- 47 | cost [1400.0]
50 --- 51 | cost [1400.0]
50 --- 75 | cost [3129.0]
51 --- 75 | cost [3962.0]
57 --- 58 | cost [987.0]
57 --- 59 | cost [3570.0]
58 --- 59 | cost [2800.0]
61 --- 62 | cost [2100.0]
61 --- 63 | cost [2968.0]
62 --- 63 | cost [2100.0]
65 --- 66 | cost [700.0]
65 --- 67 | cost [1400.0]
66 --- 67 | cost [700.0]
70 --- 71 | cost [700.0]
70 --- 72 | cost [1400.0]
71 --- 72 | cost [700.0]
82 --- 83 | cost [700.0]
82 --- 84 | cost [1400.0]
83 --- 84 | cost [700.0]
89 --- 90 | cost [1400.0]
89 --- 94 | cost [1568.0]
90 --- 94 | cost [1568.0]
97 --- 98 | cost [700.0]
97 --- 99 | cost [1400.0]
98 --- 99 | cost [700.0]
102 --- 103 | cost [700.0]
102 --- 104 | cost [1400.0]
103 --- 104 | cost [700.0]
109 --- 110 | cost [1400.0]
109 --- 118 | cost [4200.0]
110 --- 111 | cost [1400.0]
111 --- 116 | cost [4200.0]
116 --- 117 | cost [1400.0]
117 --- 118 | cost [1400.0]
120 --- 121 | cost [1400.0]
120 --- 122 | cost [2800.0]
121 --- 122 | cost [1400.0]
124 --- 129 | cost [1568.0]
124 --- 130 | cost [2100.0]
129 --- 130 | cost [1981.0]
133 --- 135 | cost [2212.0]
133 --- 136 | cost [2100.0]
135 --- 136 | cost [700.0]
142 --- 143 | cost [1981.0]
146 --- 147 | cost [700.0]
146 --- 149 | cost [987.0]
147 --- 149 | cost [700.0]
152 --- 153 | cost [700.0]
159 --- 160 | cost [1981.0]

STAR
3  -->  2 | cost [600.0]
5  -->  4 | cost [600.0]
6  --> 153 | cost [600.0]
8  -->  7 | cost [600.0]
9  --> 147 | cost [600.0]
10 --> 146 | cost [600.0]
11 --> 13 | cost [600.0]
12 --> 13 | cost [849.0]
15 --> 14 | cost [300.0]
16 --> 14 | cost [849.0]
17 --> 14 | cost [900.0]
21 --> 20 | cost [300.0]
22 --> 18 | cost [948.0]
23 --> 20 | cost [948.0]
24 --> 25 | cost [849.0]
28 --> 27 | cost [1083.0]
29 --> 31 | cost [2475.0]
30 --> 31 | cost [1698.0]
32 --> 31 | cost [1083.0]
33 --> 36 | cost [1800.0]
34 --> 36 | cost [900.0]
35 --> 36 | cost [948.0]
37 --> 36 | cost [300.0]
40 --> 39 | cost [300.0]
41 --> 39 | cost [900.0]
42 --> 39 | cost [1617.0]
43 --> 45 | cost [1200.0]
44 --> 45 | cost [849.0]
48 --> 47 | cost [600.0]
49 --> 50 | cost [900.0]
52 --> 51 | cost [1236.0]
53 --> 63 | cost [1617.0]
54 --> 63 | cost [1200.0]
55 --> 57 | cost [1272.0]
56 --> 57 | cost [900.0]
60 --> 61 | cost [900.0]
64 --> 65 | cost [300.0]
68 --> 67 | cost [300.0]
69 --> 70 | cost [300.0]
73 --> 71 | cost [900.0]
74 --> 75 | cost [948.0]
76 --> 75 | cost [900.0]
77 --> 82 | cost [1341.0]
78 --> 72 | cost [900.0]
79 --> 82 | cost [900.0]
80 --> 82 | cost [600.0]
81 --> 82 | cost [300.0]
85 --> 84 | cost [300.0]
86 --> 84 | cost [600.0]
87 --> 97 | cost [948.0]
88 --> 89 | cost [849.0]
91 --> 90 | cost [600.0]
92 --> 94 | cost [1341.0]
93 --> 94 | cost [1698.0]
95 --> 94 | cost [1272.0]
96 --> 98 | cost [1200.0]
100 --> 99 | cost [300.0]
101 --> 102 | cost [300.0]
105 --> 104 | cost [300.0]
106 --> 104 | cost [1272.0]
107 --> 104 | cost [2286.0]
108 --> 109 | cost [672.0]
112 --> 111 | cost [600.0]
113 --> 111 | cost [1200.0]
114 --> 116 | cost [1200.0]
115 --> 116 | cost [600.0]
119 --> 120 | cost [600.0]
123 --> 122 | cost [600.0]
125 --> 129 | cost [2682.0]
126 --> 159 | cost [2475.0]
127 --> 129 | cost [1200.0]
128 --> 129 | cost [672.0]
131 --> 130 | cost [1272.0]
132 --> 133 | cost [849.0]
134 --> 133 | cost [300.0]
137 --> 136 | cost [1083.0]
138 --> 36 | cost [1200.0]
139 --> 142 | cost [1341.0]
140 --> 142 | cost [1200.0]
141 --> 142 | cost [849.0]
144 --> 143 | cost [300.0]
145 --> 143 | cost [423.0]
148 --> 147 | cost [300.0]
150 --> 149 | cost [672.0]
151 -->  7 | cost [600.0]
154 --> 153 | cost [600.0]
155 --> 153 | cost [900.0]
157 --> 156 | cost [300.0]
158 --> 156 | cost [849.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Wed, 17 Jan 2024 02:04:37 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 92 hubs —— 1-3-5-7-151-155-8-9-148-147-152-154-156-4-158-132-46-49-75-50-56-57-58-59-61-63-53-65-67-66-64-73-76-79-71-69-77-81-84-82-97-98-83-85-87-104-101-102-103-106-99-93-123-115-41-135-37-141-13-11-144-146-143-12-22-19-32-26-25-21-17-15-16-145-140-139-138-136-134-131-130-129-116-120-43-45-128-110-108-111-125-160-1
total time           3615.18 (TL 3600)    gap                  0.532                
blossom time         0                    nb blossom           0.0                  
LB <= UB             201677.08<=430776    Master/SP costs      430776/0             
Master time          3615.16              SP time              0.02                 
subtour              20548.0              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       12506                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—3—5—7—151—155—8—9—148—147—152—154—156—4—158—132—46—49—75—50—56—57—58—59—61—63—53—65—67—66—64—73—76—79—71—69—77—81—84—82—97—98—83—85—87—104—101—102—103—106—99—93—123—115—41—135—37—141—13—11—144—146—143—12—22—19—32—26—25—21—17—15—16—145—140—139—138—136—134—131—130—129—116—120—43—45—128—110—108—111—125—160

RING
1  ---  3 | cost [4900.0]
3  ---  5 | cost [3129.0]
4  --- 156 | cost [1568.0]
4  --- 158 | cost [2884.0]
5  ---  7 | cost [2800.0]
7  --- 151 | cost [1400.0]
8  ---  9 | cost [700.0]
8  --- 155 | cost [3500.0]
9  --- 148 | cost [1568.0]
11 --- 13 | cost [1400.0]
11 --- 144 | cost [1400.0]
12 --- 22 | cost [9205.0]
12 --- 143 | cost [2884.0]
13 --- 141 | cost [4256.0]
15 --- 16 | cost [1568.0]
15 --- 17 | cost [1400.0]
16 --- 145 | cost [5467.0]
17 --- 21 | cost [5775.0]
19 --- 22 | cost [2884.0]
19 --- 32 | cost [4697.0]
21 --- 25 | cost [2527.0]
25 --- 26 | cost [3129.0]
26 --- 32 | cost [11396.0]
37 --- 135 | cost [3570.0]
37 --- 141 | cost [6643.0]
41 --- 115 | cost [9394.0]
41 --- 135 | cost [2884.0]
43 --- 45 | cost [2800.0]
43 --- 120 | cost [5943.0]
45 --- 128 | cost [11480.0]
46 --- 49 | cost [4480.0]
46 --- 132 | cost [9520.0]
49 --- 75 | cost [5096.0]
50 --- 56 | cost [14000.0]
50 --- 75 | cost [3129.0]
53 --- 63 | cost [3773.0]
53 --- 65 | cost [5978.0]
56 --- 57 | cost [2100.0]
57 --- 58 | cost [987.0]
58 --- 59 | cost [2800.0]
59 --- 61 | cost [5047.0]
61 --- 63 | cost [2968.0]
64 --- 66 | cost [1400.0]
64 --- 73 | cost [5334.0]
65 --- 67 | cost [1400.0]
66 --- 67 | cost [700.0]
69 --- 71 | cost [1400.0]
69 --- 77 | cost [6258.0]
71 --- 79 | cost [3500.0]
73 --- 76 | cost [2527.0]
76 --- 79 | cost [3773.0]
77 --- 81 | cost [2884.0]
81 --- 84 | cost [2100.0]
82 --- 84 | cost [1400.0]
82 --- 97 | cost [4900.0]
83 --- 85 | cost [1400.0]
83 --- 98 | cost [4900.0]
85 --- 87 | cost [2968.0]
87 --- 104 | cost [5978.0]
93 --- 99 | cost [8428.0]
93 --- 123 | cost [10955.0]
97 --- 98 | cost [700.0]
99 --- 106 | cost [5978.0]
101 --- 102 | cost [700.0]
101 --- 104 | cost [2100.0]
102 --- 103 | cost [700.0]
103 --- 106 | cost [3500.0]
108 --- 110 | cost [2884.0]
108 --- 111 | cost [4256.0]
110 --- 128 | cost [11900.0]
111 --- 125 | cost [11284.0]
115 --- 123 | cost [4424.0]
116 --- 120 | cost [4424.0]
116 --- 129 | cost [8400.0]
125 --- 160 | cost [9828.0]
129 --- 130 | cost [1981.0]
130 --- 131 | cost [2968.0]
131 --- 134 | cost [3570.0]
132 --- 158 | cost [10332.0]
134 --- 136 | cost [2212.0]
136 --- 138 | cost [4081.0]
138 --- 139 | cost [3500.0]
139 --- 140 | cost [1400.0]
140 --- 145 | cost [4081.0]
143 --- 146 | cost [2100.0]
144 --- 146 | cost [1400.0]
147 --- 148 | cost [700.0]
147 --- 152 | cost [3129.0]
151 --- 155 | cost [1568.0]
152 --- 154 | cost [1568.0]
154 --- 156 | cost [2100.0]

STAR
2  -->  4 | cost [600.0]
6  --> 152 | cost [672.0]
10 -->  9 | cost [300.0]
14 --> 15 | cost [300.0]
18 --> 19 | cost [672.0]
20 --> 21 | cost [300.0]
23 --> 22 | cost [300.0]
24 --> 25 | cost [849.0]
27 --> 26 | cost [672.0]
28 --> 26 | cost [1530.0]
29 --> 19 | cost [3000.0]
30 --> 32 | cost [2184.0]
31 --> 32 | cost [1083.0]
33 --> 37 | cost [1824.0]
34 --> 37 | cost [948.0]
35 --> 37 | cost [900.0]
36 --> 37 | cost [300.0]
38 --> 37 | cost [849.0]
39 --> 41 | cost [900.0]
40 --> 41 | cost [948.0]
42 --> 41 | cost [849.0]
44 --> 45 | cost [849.0]
47 --> 46 | cost [600.0]
48 --> 46 | cost [1200.0]
51 --> 50 | cost [600.0]
52 --> 53 | cost [1500.0]
54 --> 53 | cost [672.0]
55 --> 56 | cost [900.0]
60 --> 61 | cost [900.0]
62 --> 63 | cost [900.0]
68 --> 69 | cost [300.0]
70 --> 71 | cost [300.0]
72 --> 71 | cost [300.0]
74 --> 75 | cost [948.0]
78 --> 79 | cost [300.0]
80 --> 79 | cost [300.0]
86 --> 85 | cost [300.0]
88 --> 87 | cost [600.0]
89 --> 87 | cost [1341.0]
90 --> 87 | cost [1896.0]
91 --> 93 | cost [1824.0]
92 --> 93 | cost [600.0]
94 --> 87 | cost [1500.0]
95 --> 87 | cost [1083.0]
96 --> 87 | cost [672.0]
100 --> 99 | cost [300.0]
105 --> 104 | cost [300.0]
107 --> 104 | cost [2286.0]
109 --> 110 | cost [600.0]
112 --> 111 | cost [600.0]
113 --> 111 | cost [1200.0]
114 --> 115 | cost [600.0]
117 --> 116 | cost [600.0]
118 --> 116 | cost [1200.0]
119 --> 120 | cost [600.0]
121 --> 120 | cost [600.0]
122 --> 123 | cost [600.0]
124 --> 129 | cost [672.0]
126 --> 158 | cost [1698.0]
127 --> 128 | cost [1083.0]
133 --> 134 | cost [300.0]
137 --> 138 | cost [900.0]
142 --> 141 | cost [849.0]
149 --> 147 | cost [300.0]
150 --> 151 | cost [672.0]
153 --> 152 | cost [300.0]
157 --> 156 | cost [300.0]
159 -->  1 | cost [849.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1