------------------------------------------------------------
                           α=5.0 —— u159 —— 159 nodes       
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——————— Wed, 31 Jan 2024 09:39:23 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 124 hubs —— 1-159-2-4-5-156-157-155-154-153-152-7-151-148-8-9-147-149-145-144-139-141-142-143-11-13-14-15-16-17-25-27-28-21-20-19-18-31-32-33-34-36-37-138-137-136-133-132-134-135-38-39-41-42-43-44-45-46-47-49-50-51-52-53-54-63-57-58-59-61-62-64-65-67-68-69-71-70-76-75-74-78-73-81-80-79-82-84-85-86-87-105-106-104-103-102-101-100-99-98-97-96-88-94-90-91-92-117-118-109-110-111-112-116-115-122-120-121-128-130-129-124-126-160-1
total time           3614.98 (TL 3600)    gap                  0.263                
blossom time         0                    nb blossom           0.0                  
LB <= UB             194447.5<=263660.2   Master/SP costs      244555/19105.2       
Master time          3606.66              SP time              8.32                 
subtour              27793.0              connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            8.0                  SP method            poly                 
tildeV               2:159                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       13224                
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—159—2—4—5—156—157—155—154—153—152—7—151—148—8—9—147—149—145—144—139—141—142—143—11—13—14—15—16—17—25—27—28—21—20—19—18—31—32—33—34—36—37—138—137—136—133—132—134—135—38—39—41—42—43—44—45—46—47—49—50—51—52—53—54—63—57—58—59—61—62—64—65—67—68—69—71—70—76—75—74—78—73—81—80—79—82—84—85—86—87—105—106—104—103—102—101—100—99—98—97—96—88—94—90—91—92—117—118—109—110—111—112—116—115—122—120—121—128—130—129—124—126—160

RING
1  --- 159 | cost [1415.0]
1  --- 160 | cost [0.0]
2  ---  4 | cost [1000.0]
2  --- 159 | cost [2500.0]
4  ---  5 | cost [1000.0]
5  --- 156 | cost [1120.0]
7  --- 151 | cost [1000.0]
7  --- 152 | cost [500.0]
8  ---  9 | cost [500.0]
8  --- 148 | cost [1000.0]
9  --- 147 | cost [1000.0]
11 --- 13 | cost [1000.0]
11 --- 143 | cost [1120.0]
13 --- 14 | cost [1000.0]
14 --- 15 | cost [500.0]
15 --- 16 | cost [1120.0]
16 --- 17 | cost [1120.0]
17 --- 25 | cost [5500.0]
18 --- 19 | cost [1120.0]
18 --- 31 | cost [2695.0]
19 --- 20 | cost [705.0]
20 --- 21 | cost [500.0]
21 --- 28 | cost [4030.0]
25 --- 27 | cost [1500.0]
27 --- 28 | cost [1805.0]
31 --- 32 | cost [1805.0]
32 --- 33 | cost [3040.0]
33 --- 34 | cost [1500.0]
34 --- 36 | cost [1500.0]
36 --- 37 | cost [500.0]
37 --- 138 | cost [1500.0]
38 --- 39 | cost [1580.0]
38 --- 135 | cost [1580.0]
39 --- 41 | cost [1500.0]
41 --- 42 | cost [1415.0]
42 --- 43 | cost [1415.0]
43 --- 44 | cost [1415.0]
44 --- 45 | cost [1415.0]
45 --- 46 | cost [1000.0]
46 --- 47 | cost [1000.0]
47 --- 49 | cost [2500.0]
49 --- 50 | cost [1500.0]
50 --- 51 | cost [1000.0]
51 --- 52 | cost [2060.0]
52 --- 53 | cost [2500.0]
53 --- 54 | cost [1120.0]
54 --- 63 | cost [2000.0]
57 --- 58 | cost [705.0]
57 --- 63 | cost [5000.0]
58 --- 59 | cost [2000.0]
59 --- 61 | cost [3605.0]
61 --- 62 | cost [1500.0]
62 --- 64 | cost [2000.0]
64 --- 65 | cost [500.0]
65 --- 67 | cost [1000.0]
67 --- 68 | cost [500.0]
68 --- 69 | cost [500.0]
69 --- 71 | cost [1000.0]
70 --- 71 | cost [500.0]
70 --- 76 | cost [3200.0]
73 --- 78 | cost [2500.0]
73 --- 81 | cost [3810.0]
74 --- 75 | cost [1580.0]
74 --- 78 | cost [4030.0]
75 --- 76 | cost [1500.0]
79 --- 80 | cost [500.0]
79 --- 82 | cost [1500.0]
80 --- 81 | cost [500.0]
82 --- 84 | cost [1000.0]
84 --- 85 | cost [500.0]
85 --- 86 | cost [500.0]
86 --- 87 | cost [1805.0]
87 --- 105 | cost [4745.0]
88 --- 94 | cost [1500.0]
88 --- 96 | cost [1120.0]
90 --- 91 | cost [1000.0]
90 --- 94 | cost [1120.0]
91 --- 92 | cost [2060.0]
92 --- 117 | cost [4030.0]
96 --- 97 | cost [2060.0]
97 --- 98 | cost [500.0]
98 --- 99 | cost [500.0]
99 --- 100 | cost [500.0]
100 --- 101 | cost [500.0]
101 --- 102 | cost [500.0]
102 --- 103 | cost [500.0]
103 --- 104 | cost [500.0]
104 --- 106 | cost [2120.0]
105 --- 106 | cost [1805.0]
109 --- 110 | cost [1000.0]
109 --- 118 | cost [3000.0]
110 --- 111 | cost [1000.0]
111 --- 112 | cost [1000.0]
112 --- 116 | cost [3160.0]
115 --- 116 | cost [1000.0]
115 --- 122 | cost [3000.0]
117 --- 118 | cost [1000.0]
120 --- 121 | cost [1000.0]
120 --- 122 | cost [2000.0]
121 --- 128 | cost [6800.0]
124 --- 126 | cost [5100.0]
124 --- 129 | cost [1120.0]
126 --- 160 | cost [5385.0]
128 --- 130 | cost [1500.0]
129 --- 130 | cost [1415.0]
132 --- 133 | cost [1415.0]
132 --- 134 | cost [1120.0]
133 --- 136 | cost [1500.0]
134 --- 135 | cost [1500.0]
136 --- 137 | cost [1805.0]
137 --- 138 | cost [1500.0]
139 --- 141 | cost [1000.0]
139 --- 144 | cost [3040.0]
141 --- 142 | cost [1415.0]
142 --- 143 | cost [1415.0]
144 --- 145 | cost [500.0]
145 --- 149 | cost [1500.0]
147 --- 149 | cost [500.0]
148 --- 151 | cost [1000.0]
152 --- 153 | cost [500.0]
153 --- 154 | cost [1000.0]
154 --- 155 | cost [500.0]
155 --- 157 | cost [1500.0]
156 --- 157 | cost [500.0]

STAR
3  -->  2 | cost [1000.0]
6  --> 153 | cost [1000.0]
10 -->  9 | cost [500.0]
12 --> 11 | cost [1000.0]
22 --> 21 | cost [1415.0]
23 --> 21 | cost [1120.0]
24 --> 25 | cost [1415.0]
26 --> 27 | cost [1120.0]
29 --> 28 | cost [3535.0]
30 --> 31 | cost [2830.0]
35 --> 34 | cost [500.0]
40 --> 39 | cost [500.0]
48 --> 47 | cost [1000.0]
55 --> 57 | cost [2120.0]
56 --> 57 | cost [1500.0]
60 --> 61 | cost [1500.0]
66 --> 67 | cost [500.0]
72 --> 71 | cost [500.0]
77 --> 76 | cost [1580.0]
83 --> 82 | cost [500.0]
89 --> 90 | cost [1000.0]
93 --> 92 | cost [1000.0]
95 --> 96 | cost [705.0]
107 --> 106 | cost [2000.0]
108 --> 109 | cost [1120.0]
113 --> 112 | cost [1000.0]
114 --> 115 | cost [1000.0]
119 --> 120 | cost [1000.0]
123 --> 122 | cost [1000.0]
125 --> 129 | cost [4470.0]
127 --> 128 | cost [1805.0]
131 --> 128 | cost [1500.0]
140 --> 139 | cost [1000.0]
146 --> 147 | cost [500.0]
150 --> 148 | cost [1120.0]
158 --> 157 | cost [1120.0]

BACKUP RING
1  ---  2 | cost [36.4]
2  ---  5 | cost [20.0]
4  --- 156 | cost [11.200000000000001]
4  --- 159 | cost [35.0]
5  --- 157 | cost [15.8]
7  --- 148 | cost [14.15]
7  --- 153 | cost [10.0]
8  --- 147 | cost [11.200000000000001]
8  --- 151 | cost [14.15]
9  --- 148 | cost [11.200000000000001]
9  --- 149 | cost [15.0]
11 --- 14 | cost [20.0]
11 --- 142 | cost [25.0]
13 --- 15 | cost [15.0]
13 --- 143 | cost [11.200000000000001]
14 --- 16 | cost [14.15]
15 --- 17 | cost [10.0]
16 --- 25 | cost [60.85]
17 --- 27 | cost [70.0]
18 --- 20 | cost [15.0]
18 --- 32 | cost [35.35]
19 --- 21 | cost [11.200000000000001]
19 --- 31 | cost [20.0]
20 --- 28 | cost [40.0]
21 --- 27 | cost [31.6]
25 --- 28 | cost [29.150000000000002]
31 --- 33 | cost [44.7]
32 --- 34 | cost [36.050000000000004]
33 --- 36 | cost [30.0]
34 --- 37 | cost [15.8]
36 --- 138 | cost [20.0]
37 --- 137 | cost [21.2]
38 --- 41 | cost [25.0]
38 --- 134 | cost [30.400000000000002]
39 --- 42 | cost [26.95]
39 --- 135 | cost [22.35]
41 --- 43 | cost [20.0]
42 --- 44 | cost [20.0]
43 --- 45 | cost [20.0]
44 --- 46 | cost [22.35]
45 --- 47 | cost [20.0]
46 --- 49 | cost [32.0]
47 --- 50 | cost [36.050000000000004]
49 --- 51 | cost [18.05]
50 --- 52 | cost [30.400000000000002]
51 --- 53 | cost [44.7]
52 --- 54 | cost [36.050000000000004]
53 --- 63 | cost [26.95]
54 --- 57 | cost [41.25]
57 --- 59 | cost [25.5]
58 --- 61 | cost [50.0]
58 --- 63 | cost [51.5]
59 --- 62 | cost [49.25]
61 --- 64 | cost [35.0]
62 --- 65 | cost [25.0]
64 --- 67 | cost [15.0]
65 --- 68 | cost [15.0]
67 --- 69 | cost [10.0]
68 --- 71 | cost [15.0]
69 --- 70 | cost [5.0]
70 --- 75 | cost [44.7]
71 --- 76 | cost [29.150000000000002]
73 --- 74 | cost [20.0]
73 --- 80 | cost [33.55]
74 --- 76 | cost [18.05]
75 --- 78 | cost [40.300000000000004]
78 --- 81 | cost [15.0]
79 --- 81 | cost [10.0]
79 --- 84 | cost [25.0]
80 --- 82 | cost [10.0]
82 --- 85 | cost [15.0]
84 --- 86 | cost [10.0]
85 --- 87 | cost [21.2]
86 --- 105 | cost [55.0]
87 --- 106 | cost [55.0]
88 --- 90 | cost [22.35]
88 --- 97 | cost [25.5]
90 --- 92 | cost [25.0]
91 --- 94 | cost [18.05]
91 --- 117 | cost [51.5]
92 --- 118 | cost [30.400000000000002]
94 --- 96 | cost [22.35]
96 --- 98 | cost [20.0]
97 --- 99 | cost [10.0]
98 --- 100 | cost [10.0]
99 --- 101 | cost [10.0]
100 --- 102 | cost [10.0]
101 --- 103 | cost [10.0]
102 --- 104 | cost [10.0]
103 --- 106 | cost [25.0]
104 --- 105 | cost [5.0]
109 --- 111 | cost [20.0]
109 --- 117 | cost [31.6]
110 --- 112 | cost [20.0]
110 --- 118 | cost [31.6]
111 --- 116 | cost [30.0]
112 --- 115 | cost [30.0]
115 --- 120 | cost [36.050000000000004]
116 --- 122 | cost [31.6]
120 --- 128 | cost [77.60000000000001]
121 --- 122 | cost [10.0]
121 --- 130 | cost [53.85]
124 --- 130 | cost [15.0]
124 --- 160 | cost [104.4]
126 --- 129 | cost [42.7]
128 --- 129 | cost [11.200000000000001]
132 --- 135 | cost [25.5]
132 --- 136 | cost [26.95]
133 --- 134 | cost [5.0]
133 --- 137 | cost [29.150000000000002]
136 --- 138 | cost [29.150000000000002]
139 --- 142 | cost [22.35]
139 --- 145 | cost [25.5]
141 --- 143 | cost [20.0]
141 --- 144 | cost [20.6]
144 --- 149 | cost [15.8]
145 --- 147 | cost [15.8]
151 --- 152 | cost [11.200000000000001]
152 --- 154 | cost [11.200000000000001]
153 --- 155 | cost [15.0]
154 --- 157 | cost [15.8]
155 --- 156 | cost [15.8]

BACKUP STAR
3  -->  4 | cost [14.15]
6  --> 152 | cost [11.200000000000001]
10 -->  8 | cost [10.0]
12 --> 13 | cost [14.15]
22 --> 18 | cost [15.8]
23 --> 20 | cost [15.8]
24 --> 21 | cost [20.6]
26 --> 25 | cost [22.35]
29 --> 31 | cost [41.25]
30 --> 32 | cost [36.4]
35 --> 37 | cost [15.0]
40 --> 41 | cost [15.8]
48 --> 46 | cost [20.0]
55 --> 58 | cost [28.3]
56 --> 58 | cost [20.6]
60 --> 59 | cost [25.0]
66 --> 65 | cost [5.0]
72 --> 70 | cost [10.0]
77 --> 80 | cost [20.0]
83 --> 84 | cost [5.0]
89 --> 94 | cost [11.200000000000001]
93 --> 94 | cost [28.3]
95 --> 88 | cost [15.0]
107 --> 105 | cost [36.4]
108 --> 110 | cost [20.6]
113 --> 111 | cost [20.0]
114 --> 116 | cost [20.0]
119 --> 121 | cost [20.0]
123 --> 121 | cost [20.0]
125 --> 126 | cost [32.0]
127 --> 129 | cost [20.0]
131 --> 132 | cost [18.05]
140 --> 141 | cost [14.15]
146 --> 149 | cost [7.05]
150 --> 149 | cost [11.200000000000001]
158 --> 156 | cost [14.15]

B = 104.4
i★ = 124
j★ = 126
k★ = 160