------------------------------------------------------------
                           α=3.0 —— u159 —— 159 nodes       
------------------------------------------------------------

——————— Wed, 31 Jan 2024 08:23:36 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 160 hubs —— 1-3-2-4-5-6-153-152-7-8-9-10-12-11-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27-28-29-30-31-32-33-34-35-37-36-38-39-40-41-42-43-44-45-46-47-48-49-50-51-52-53-54-55-56-57-58-59-60-61-62-63-64-65-66-67-68-69-70-71-72-73-74-75-76-77-78-79-80-81-82-83-84-85-86-97-98-99-100-101-102-103-104-105-106-107-95-96-87-88-94-89-90-91-92-93-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-130-124-129-125-126-127-128-131-132-134-133-135-136-137-138-140-139-141-142-143-144-145-146-149-147-148-150-151-154-155-156-157-158-159-160-1
total time           1543.8               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             131894.7<=131894.7   Master/SP costs      126240/5654.7        
Master time          1477.91              SP time              65.89                
subtour              9704.0               connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            82.0                 SP method            poly                 
tildeV               2:159                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       4864                 
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—3—2—4—5—6—153—152—7—8—9—10—12—11—13—14—15—16—17—18—19—20—21—22—23—24—25—26—27—28—29—30—31—32—33—34—35—37—36—38—39—40—41—42—43—44—45—46—47—48—49—50—51—52—53—54—55—56—57—58—59—60—61—62—63—64—65—66—67—68—69—70—71—72—73—74—75—76—77—78—79—80—81—82—83—84—85—86—97—98—99—100—101—102—103—104—105—106—107—95—96—87—88—94—89—90—91—92—93—108—109—110—111—112—113—114—115—116—117—118—119—120—121—122—123—130—124—129—125—126—127—128—131—132—134—133—135—136—137—138—140—139—141—142—143—144—145—146—149—147—148—150—151—154—155—156—157—158—159—160

RING
1  ---  3 | cost [2100.0]
1  --- 160 | cost [0.0]
2  ---  3 | cost [600.0]
2  ---  4 | cost [600.0]
4  ---  5 | cost [600.0]
5  ---  6 | cost [849.0]
6  --- 153 | cost [600.0]
7  ---  8 | cost [600.0]
7  --- 152 | cost [300.0]
8  ---  9 | cost [300.0]
9  --- 10 | cost [300.0]
10 --- 12 | cost [849.0]
11 --- 12 | cost [600.0]
11 --- 13 | cost [600.0]
13 --- 14 | cost [600.0]
14 --- 15 | cost [300.0]
15 --- 16 | cost [672.0]
16 --- 17 | cost [672.0]
17 --- 18 | cost [1749.0]
18 --- 19 | cost [672.0]
19 --- 20 | cost [423.0]
20 --- 21 | cost [300.0]
21 --- 22 | cost [849.0]
22 --- 23 | cost [300.0]
23 --- 24 | cost [849.0]
24 --- 25 | cost [849.0]
25 --- 26 | cost [1341.0]
26 --- 27 | cost [672.0]
27 --- 28 | cost [1083.0]
28 --- 29 | cost [2121.0]
29 --- 30 | cost [1341.0]
30 --- 31 | cost [1698.0]
31 --- 32 | cost [1083.0]
32 --- 33 | cost [1824.0]
33 --- 34 | cost [900.0]
34 --- 35 | cost [300.0]
35 --- 37 | cost [900.0]
36 --- 37 | cost [300.0]
36 --- 38 | cost [672.0]
38 --- 39 | cost [948.0]
39 --- 40 | cost [300.0]
40 --- 41 | cost [948.0]
41 --- 42 | cost [849.0]
42 --- 43 | cost [849.0]
43 --- 44 | cost [849.0]
44 --- 45 | cost [849.0]
45 --- 46 | cost [600.0]
46 --- 47 | cost [600.0]
47 --- 48 | cost [600.0]
48 --- 49 | cost [1236.0]
49 --- 50 | cost [900.0]
50 --- 51 | cost [600.0]
51 --- 52 | cost [1236.0]
52 --- 53 | cost [1500.0]
53 --- 54 | cost [672.0]
54 --- 55 | cost [2121.0]
55 --- 56 | cost [900.0]
56 --- 57 | cost [900.0]
57 --- 58 | cost [423.0]
58 --- 59 | cost [1200.0]
59 --- 60 | cost [1500.0]
60 --- 61 | cost [900.0]
61 --- 62 | cost [900.0]
62 --- 63 | cost [900.0]
63 --- 64 | cost [1500.0]
64 --- 65 | cost [300.0]
65 --- 66 | cost [300.0]
66 --- 67 | cost [300.0]
67 --- 68 | cost [300.0]
68 --- 69 | cost [300.0]
69 --- 70 | cost [300.0]
70 --- 71 | cost [300.0]
71 --- 72 | cost [300.0]
72 --- 73 | cost [948.0]
73 --- 74 | cost [1200.0]
74 --- 75 | cost [948.0]
75 --- 76 | cost [900.0]
76 --- 77 | cost [948.0]
77 --- 78 | cost [1341.0]
78 --- 79 | cost [300.0]
79 --- 80 | cost [300.0]
80 --- 81 | cost [300.0]
81 --- 82 | cost [300.0]
82 --- 83 | cost [300.0]
83 --- 84 | cost [300.0]
84 --- 85 | cost [300.0]
85 --- 86 | cost [300.0]
86 --- 97 | cost [900.0]
87 --- 88 | cost [600.0]
87 --- 96 | cost [672.0]
88 --- 94 | cost [900.0]
89 --- 90 | cost [600.0]
89 --- 94 | cost [672.0]
90 --- 91 | cost [600.0]
91 --- 92 | cost [1236.0]
92 --- 93 | cost [600.0]
93 --- 108 | cost [2163.0]
95 --- 96 | cost [423.0]
95 --- 107 | cost [2475.0]
97 --- 98 | cost [300.0]
98 --- 99 | cost [300.0]
99 --- 100 | cost [300.0]
100 --- 101 | cost [300.0]
101 --- 102 | cost [300.0]
102 --- 103 | cost [300.0]
103 --- 104 | cost [300.0]
104 --- 105 | cost [300.0]
105 --- 106 | cost [1083.0]
106 --- 107 | cost [1200.0]
108 --- 109 | cost [672.0]
109 --- 110 | cost [600.0]
110 --- 111 | cost [600.0]
111 --- 112 | cost [600.0]
112 --- 113 | cost [600.0]
113 --- 114 | cost [1800.0]
114 --- 115 | cost [600.0]
115 --- 116 | cost [600.0]
116 --- 117 | cost [600.0]
117 --- 118 | cost [600.0]
118 --- 119 | cost [1800.0]
119 --- 120 | cost [600.0]
120 --- 121 | cost [600.0]
121 --- 122 | cost [600.0]
122 --- 123 | cost [600.0]
123 --- 130 | cost [2163.0]
124 --- 129 | cost [672.0]
124 --- 130 | cost [900.0]
125 --- 126 | cost [1920.0]
125 --- 129 | cost [2682.0]
126 --- 127 | cost [1500.0]
127 --- 128 | cost [1083.0]
128 --- 131 | cost [900.0]
131 --- 132 | cost [1083.0]
132 --- 134 | cost [672.0]
133 --- 134 | cost [300.0]
133 --- 135 | cost [948.0]
135 --- 136 | cost [300.0]
136 --- 137 | cost [1083.0]
137 --- 138 | cost [900.0]
138 --- 140 | cost [1236.0]
139 --- 140 | cost [600.0]
139 --- 141 | cost [600.0]
141 --- 142 | cost [849.0]
142 --- 143 | cost [849.0]
143 --- 144 | cost [300.0]
144 --- 145 | cost [300.0]
145 --- 146 | cost [672.0]
146 --- 149 | cost [423.0]
147 --- 148 | cost [300.0]
147 --- 149 | cost [300.0]
148 --- 150 | cost [672.0]
150 --- 151 | cost [672.0]
151 --- 154 | cost [600.0]
152 --- 153 | cost [300.0]
154 --- 155 | cost [300.0]
155 --- 156 | cost [948.0]
156 --- 157 | cost [300.0]
157 --- 158 | cost [672.0]
158 --- 159 | cost [2163.0]
159 --- 160 | cost [849.0]

STAR

BACKUP RING
1  ---  2 | cost [21.84]
2  ---  5 | cost [12.0]
3  ---  4 | cost [8.49]
4  ---  6 | cost [13.41]
5  --- 153 | cost [6.0]
6  --- 152 | cost [6.72]
7  ---  9 | cost [9.0]
7  --- 153 | cost [6.0]
8  --- 10 | cost [6.0]
8  --- 152 | cost [9.0]
9  --- 12 | cost [10.83]
10 --- 11 | cost [6.0]
11 --- 14 | cost [12.0]
12 --- 13 | cost [8.49]
13 --- 15 | cost [9.0]
14 --- 16 | cost [8.49]
15 --- 17 | cost [6.0]
16 --- 18 | cost [23.43]
17 --- 19 | cost [24.18]
18 --- 20 | cost [9.0]
19 --- 21 | cost [6.72]
20 --- 22 | cost [10.83]
21 --- 23 | cost [6.72]
22 --- 24 | cost [10.83]
23 --- 25 | cost [12.0]
24 --- 26 | cost [18.0]
25 --- 27 | cost [9.0]
26 --- 28 | cost [15.3]
27 --- 29 | cost [30.150000000000002]
28 --- 30 | cost [30.900000000000002]
29 --- 31 | cost [24.75]
30 --- 32 | cost [21.84]
31 --- 33 | cost [26.82]
32 --- 34 | cost [21.63]
33 --- 35 | cost [9.48]
34 --- 37 | cost [9.48]
35 --- 36 | cost [9.48]
36 --- 39 | cost [15.0]
37 --- 38 | cost [8.49]
38 --- 40 | cost [12.36]
39 --- 41 | cost [9.0]
40 --- 42 | cost [15.3]
41 --- 43 | cost [12.0]
42 --- 44 | cost [12.0]
43 --- 45 | cost [12.0]
44 --- 46 | cost [13.41]
45 --- 47 | cost [12.0]
46 --- 48 | cost [12.0]
47 --- 49 | cost [15.0]
48 --- 50 | cost [16.98]
49 --- 51 | cost [10.83]
50 --- 52 | cost [18.240000000000002]
51 --- 53 | cost [26.82]
52 --- 54 | cost [21.63]
53 --- 55 | cost [24.18]
54 --- 56 | cost [28.29]
55 --- 57 | cost [12.72]
56 --- 58 | cost [12.36]
57 --- 59 | cost [15.3]
58 --- 60 | cost [25.62]
59 --- 61 | cost [21.63]
60 --- 62 | cost [18.0]
61 --- 63 | cost [12.72]
62 --- 64 | cost [12.0]
63 --- 65 | cost [17.490000000000002]
64 --- 66 | cost [6.0]
65 --- 67 | cost [6.0]
66 --- 68 | cost [6.0]
67 --- 69 | cost [6.0]
68 --- 70 | cost [6.0]
69 --- 71 | cost [6.0]
70 --- 72 | cost [6.0]
71 --- 73 | cost [9.0]
72 --- 74 | cost [21.21]
73 --- 75 | cost [17.490000000000002]
74 --- 76 | cost [10.83]
75 --- 77 | cost [15.0]
76 --- 78 | cost [15.3]
77 --- 79 | cost [12.36]
78 --- 80 | cost [6.0]
79 --- 81 | cost [6.0]
80 --- 82 | cost [6.0]
81 --- 83 | cost [6.0]
82 --- 84 | cost [6.0]
83 --- 85 | cost [6.0]
84 --- 86 | cost [6.0]
85 --- 97 | cost [12.0]
86 --- 98 | cost [12.0]
87 --- 94 | cost [15.0]
87 --- 95 | cost [10.83]
88 --- 89 | cost [8.49]
88 --- 96 | cost [6.72]
89 --- 91 | cost [12.0]
90 --- 92 | cost [15.0]
90 --- 94 | cost [6.72]
91 --- 93 | cost [18.240000000000002]
92 --- 108 | cost [26.82]
93 --- 109 | cost [23.43]
95 --- 106 | cost [24.75]
96 --- 107 | cost [28.47]
97 --- 99 | cost [6.0]
98 --- 100 | cost [6.0]
99 --- 101 | cost [6.0]
100 --- 102 | cost [6.0]
101 --- 103 | cost [6.0]
102 --- 104 | cost [6.0]
103 --- 105 | cost [6.0]
104 --- 106 | cost [12.72]
105 --- 107 | cost [21.84]
108 --- 110 | cost [12.36]
109 --- 111 | cost [12.0]
110 --- 112 | cost [12.0]
111 --- 113 | cost [12.0]
112 --- 114 | cost [18.96]
113 --- 115 | cost [18.96]
114 --- 116 | cost [12.0]
115 --- 117 | cost [12.0]
116 --- 118 | cost [12.0]
117 --- 119 | cost [18.96]
118 --- 120 | cost [18.96]
119 --- 121 | cost [12.0]
120 --- 122 | cost [12.0]
121 --- 123 | cost [12.0]
122 --- 130 | cost [26.82]
123 --- 124 | cost [27.66]
124 --- 125 | cost [27.66]
125 --- 127 | cost [24.0]
126 --- 128 | cost [25.8]
126 --- 129 | cost [25.62]
127 --- 131 | cost [17.490000000000002]
128 --- 132 | cost [18.96]
129 --- 130 | cost [8.49]
131 --- 134 | cost [15.3]
132 --- 133 | cost [8.49]
133 --- 136 | cost [9.0]
134 --- 135 | cost [9.0]
135 --- 137 | cost [13.41]
136 --- 138 | cost [17.490000000000002]
137 --- 140 | cost [13.41]
138 --- 139 | cost [15.0]
139 --- 142 | cost [13.41]
140 --- 141 | cost [8.49]
141 --- 143 | cost [12.0]
142 --- 144 | cost [10.83]
143 --- 145 | cost [4.23]
144 --- 146 | cost [6.0]
145 --- 149 | cost [9.0]
146 --- 147 | cost [3.0]
147 --- 150 | cost [8.49]
148 --- 149 | cost [4.23]
148 --- 151 | cost [6.0]
150 --- 154 | cost [10.83]
151 --- 155 | cost [6.72]
154 --- 156 | cost [9.0]
155 --- 157 | cost [9.0]
156 --- 158 | cost [8.49]
157 --- 159 | cost [25.62]
158 --- 160 | cost [30.0]

BACKUP STAR

B = 30.900000000000002
i★ = 28
j★ = 29
k★ = 30