------------------------------------------------------------
                           α=5.0 —— u159 —— 159 nodes       
------------------------------------------------------------

——————— Thu, 25 Jan 2024 02:38:00 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 139 hubs —— 1—159—126—158—157—155—154—151—148—147—146—144—143—142—141—139—137—136—135—134—132—131—128—129—130—123—122—121—120—119—118—117—116—115—114—113—112—111—110—109—108—93—92—91—90—89—88—87—96—95—106—105—104—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—77—76—75—74—73—71—70—69—68—67—66—65—64—62—61—60—59—58—57—56—55—54—53—52—51—50—49—48—47—46—45—44—43—42—41—39—38—36—37—35—34—33—32—31—30—29—28—27—25—24—23—21—20—19—18—17—15—14—13—11—10—9—8—7—152—153—5—4—2—3—160
total time           848.92               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             204250<=204250       subtour              10476.0              
connectivity cuts    2000.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       2232                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—126—158—157—155—154—151—148—147—146—144—143—142—141—139—137—136—135—134—132—131—128—129—130—123—122—121—120—119—118—117—116—115—114—113—112—111—110—109—108—93—92—91—90—89—88—87—96—95—106—105—104—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—77—76—75—74—73—71—70—69—68—67—66—65—64—62—61—60—59—58—57—56—55—54—53—52—51—50—49—48—47—46—45—44—43—42—41—39—38—36—37—35—34—33—32—31—30—29—28—27—25—24—23—21—20—19—18—17—15—14—13—11—10—9—8—7—152—153—5—4—2—3—160

RING
1  --- 159 | cost [1415.0]
1  --- 160 | cost [0.0]
2  ---  3 | cost [1000.0]
2  ---  4 | cost [1000.0]
3  --- 160 | cost [3500.0]
4  ---  5 | cost [1000.0]
5  --- 153 | cost [1000.0]
7  ---  8 | cost [1000.0]
7  --- 152 | cost [500.0]
8  ---  9 | cost [500.0]
9  --- 10 | cost [500.0]
10 --- 11 | cost [1000.0]
11 --- 13 | cost [1000.0]
13 --- 14 | cost [1000.0]
14 --- 15 | cost [500.0]
15 --- 17 | cost [1000.0]
17 --- 18 | cost [2915.0]
18 --- 19 | cost [1120.0]
19 --- 20 | cost [705.0]
20 --- 21 | cost [500.0]
21 --- 23 | cost [1120.0]
23 --- 24 | cost [1415.0]
24 --- 25 | cost [1415.0]
25 --- 27 | cost [1500.0]
27 --- 28 | cost [1805.0]
28 --- 29 | cost [3535.0]
29 --- 30 | cost [2235.0]
30 --- 31 | cost [2830.0]
31 --- 32 | cost [1805.0]
32 --- 33 | cost [3040.0]
33 --- 34 | cost [1500.0]
34 --- 35 | cost [500.0]
35 --- 37 | cost [1500.0]
36 --- 37 | cost [500.0]
36 --- 38 | cost [1120.0]
38 --- 39 | 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 --- 48 | cost [1000.0]
48 --- 49 | cost [2060.0]
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 --- 55 | cost [3535.0]
55 --- 56 | cost [1500.0]
56 --- 57 | cost [1500.0]
57 --- 58 | cost [705.0]
58 --- 59 | cost [2000.0]
59 --- 60 | cost [2500.0]
60 --- 61 | cost [1500.0]
61 --- 62 | cost [1500.0]
62 --- 64 | cost [2000.0]
64 --- 65 | cost [500.0]
65 --- 66 | cost [500.0]
66 --- 67 | cost [500.0]
67 --- 68 | cost [500.0]
68 --- 69 | cost [500.0]
69 --- 70 | cost [500.0]
70 --- 71 | cost [500.0]
71 --- 73 | cost [1500.0]
73 --- 74 | cost [2000.0]
74 --- 75 | cost [1580.0]
75 --- 76 | cost [1500.0]
76 --- 77 | cost [1580.0]
77 --- 79 | cost [2060.0]
79 --- 80 | cost [500.0]
80 --- 81 | cost [500.0]
81 --- 82 | cost [500.0]
82 --- 83 | cost [500.0]
83 --- 84 | cost [500.0]
84 --- 85 | cost [500.0]
85 --- 86 | cost [500.0]
86 --- 97 | cost [1500.0]
87 --- 88 | cost [1000.0]
87 --- 96 | cost [1120.0]
88 --- 89 | cost [1415.0]
89 --- 90 | cost [1000.0]
90 --- 91 | cost [1000.0]
91 --- 92 | cost [2060.0]
92 --- 93 | cost [1000.0]
93 --- 108 | cost [3605.0]
95 --- 96 | cost [705.0]
95 --- 106 | cost [4125.0]
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 --- 105 | cost [500.0]
105 --- 106 | cost [1805.0]
108 --- 109 | cost [1120.0]
109 --- 110 | cost [1000.0]
110 --- 111 | cost [1000.0]
111 --- 112 | cost [1000.0]
112 --- 113 | cost [1000.0]
113 --- 114 | cost [3000.0]
114 --- 115 | cost [1000.0]
115 --- 116 | cost [1000.0]
116 --- 117 | cost [1000.0]
117 --- 118 | cost [1000.0]
118 --- 119 | cost [3000.0]
119 --- 120 | cost [1000.0]
120 --- 121 | cost [1000.0]
121 --- 122 | cost [1000.0]
122 --- 123 | cost [1000.0]
123 --- 130 | cost [3605.0]
126 --- 158 | cost [2830.0]
126 --- 159 | cost [4125.0]
128 --- 129 | cost [1120.0]
128 --- 131 | cost [1500.0]
129 --- 130 | cost [1415.0]
131 --- 132 | cost [1805.0]
132 --- 134 | cost [1120.0]
134 --- 135 | cost [1500.0]
135 --- 136 | cost [500.0]
136 --- 137 | cost [1805.0]
137 --- 139 | cost [2000.0]
139 --- 141 | cost [1000.0]
141 --- 142 | cost [1415.0]
142 --- 143 | cost [1415.0]
143 --- 144 | cost [500.0]
144 --- 146 | cost [1000.0]
146 --- 147 | cost [500.0]
147 --- 148 | cost [500.0]
148 --- 151 | cost [1000.0]
151 --- 154 | cost [1000.0]
152 --- 153 | cost [500.0]
154 --- 155 | cost [500.0]
155 --- 157 | cost [1500.0]
157 --- 158 | cost [1120.0]

STAR
6  --> 153 | cost [1000.0]
12 --> 11 | cost [1000.0]
16 --> 17 | cost [1120.0]
22 --> 23 | cost [500.0]
26 --> 27 | cost [1120.0]
40 --> 39 | cost [500.0]
63 --> 62 | cost [1500.0]
72 --> 71 | cost [500.0]
78 --> 79 | cost [500.0]
94 --> 89 | cost [1120.0]
107 --> 106 | cost [2000.0]
124 --> 129 | cost [1120.0]
125 --> 126 | cost [3200.0]
127 --> 128 | cost [1805.0]
133 --> 134 | cost [500.0]
138 --> 137 | cost [1500.0]
140 --> 139 | cost [1000.0]
145 --> 144 | cost [500.0]
149 --> 147 | cost [500.0]
150 --> 148 | cost [1120.0]
156 --> 157 | cost [500.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 25 Jan 2024 03:38:44 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 121 hubs —— 1-3-2-4-156-157-155-154-5-153-152-7-8-9-148-147-146-144-11-13-14-15-17-19-20-21-23-24-25-27-28-29-30-31-32-139-141-142-140-37-34-33-138-136-38-39-41-135-134-131-44-122-120-121-48-47-49-50-75-74-76-52-53-54-55-56-57-58-59-60-61-62-64-65-66-67-68-69-70-71-78-79-80-81-82-85-83-84-97-98-99-100-106-105-104-103-102-101-96-88-87-94-90-91-92-93-117-109-108-111-112-110-116-115-124-130-129-127-126-159-160-1
total time           3612.31 (TL 3600)    gap                  0.174                
blossom time         0                    nb blossom           0.0                  
LB <= UB             198115<=239940       Master/SP costs      239940/0             
Master time          3612.31              SP time              0.0                  
subtour              26105.0              connectivity cuts    2000.0               
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       13621                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—3—2—4—156—157—155—154—5—153—152—7—8—9—148—147—146—144—11—13—14—15—17—19—20—21—23—24—25—27—28—29—30—31—32—139—141—142—140—37—34—33—138—136—38—39—41—135—134—131—44—122—120—121—48—47—49—50—75—74—76—52—53—54—55—56—57—58—59—60—61—62—64—65—66—67—68—69—70—71—78—79—80—81—82—85—83—84—97—98—99—100—106—105—104—103—102—101—96—88—87—94—90—91—92—93—117—109—108—111—112—110—116—115—124—130—129—127—126—159—160

RING
1  ---  3 | cost [3500.0]
2  ---  3 | cost [1000.0]
2  ---  4 | cost [1000.0]
4  --- 156 | cost [1120.0]
5  --- 153 | cost [1000.0]
5  --- 154 | cost [1415.0]
7  ---  8 | cost [1000.0]
7  --- 152 | cost [500.0]
8  ---  9 | cost [500.0]
9  --- 148 | cost [1120.0]
11 --- 13 | cost [1000.0]
11 --- 144 | cost [1000.0]
13 --- 14 | cost [1000.0]
14 --- 15 | cost [500.0]
15 --- 17 | cost [1000.0]
17 --- 19 | cost [4030.0]
19 --- 20 | cost [705.0]
20 --- 21 | cost [500.0]
21 --- 23 | cost [1120.0]
23 --- 24 | cost [1415.0]
24 --- 25 | cost [1415.0]
25 --- 27 | cost [1500.0]
27 --- 28 | cost [1805.0]
28 --- 29 | cost [3535.0]
29 --- 30 | cost [2235.0]
30 --- 31 | cost [2830.0]
31 --- 32 | cost [1805.0]
32 --- 139 | cost [5100.0]
33 --- 34 | cost [1500.0]
33 --- 138 | cost [3605.0]
34 --- 37 | cost [1580.0]
37 --- 140 | cost [3535.0]
38 --- 39 | cost [1580.0]
38 --- 136 | cost [1805.0]
39 --- 41 | cost [1500.0]
41 --- 135 | cost [2060.0]
44 --- 122 | cost [2000.0]
44 --- 131 | cost [6040.0]
47 --- 48 | cost [1000.0]
47 --- 49 | cost [2500.0]
48 --- 121 | cost [4245.0]
49 --- 50 | cost [1500.0]
50 --- 75 | cost [2235.0]
52 --- 53 | cost [2500.0]
52 --- 76 | cost [5000.0]
53 --- 54 | cost [1120.0]
54 --- 55 | cost [3535.0]
55 --- 56 | cost [1500.0]
56 --- 57 | cost [1500.0]
57 --- 58 | cost [705.0]
58 --- 59 | cost [2000.0]
59 --- 60 | cost [2500.0]
60 --- 61 | cost [1500.0]
61 --- 62 | cost [1500.0]
62 --- 64 | cost [2000.0]
64 --- 65 | cost [500.0]
65 --- 66 | cost [500.0]
66 --- 67 | cost [500.0]
67 --- 68 | cost [500.0]
68 --- 69 | cost [500.0]
69 --- 70 | cost [500.0]
70 --- 71 | cost [500.0]
71 --- 78 | cost [2000.0]
74 --- 75 | cost [1580.0]
74 --- 76 | cost [1805.0]
78 --- 79 | cost [500.0]
79 --- 80 | cost [500.0]
80 --- 81 | cost [500.0]
81 --- 82 | cost [500.0]
82 --- 85 | cost [1500.0]
83 --- 84 | cost [500.0]
83 --- 85 | cost [1000.0]
84 --- 97 | cost [2500.0]
87 --- 88 | cost [1000.0]
87 --- 94 | cost [2500.0]
88 --- 96 | cost [1120.0]
90 --- 91 | cost [1000.0]
90 --- 94 | cost [1120.0]
91 --- 92 | cost [2060.0]
92 --- 93 | cost [1000.0]
93 --- 117 | cost [4030.0]
96 --- 101 | cost [2500.0]
97 --- 98 | cost [500.0]
98 --- 99 | cost [500.0]
99 --- 100 | cost [500.0]
100 --- 106 | cost [3810.0]
101 --- 102 | cost [500.0]
102 --- 103 | cost [500.0]
103 --- 104 | cost [500.0]
104 --- 105 | cost [500.0]
105 --- 106 | cost [1805.0]
108 --- 109 | cost [1120.0]
108 --- 111 | cost [3040.0]
109 --- 117 | cost [3160.0]
110 --- 112 | cost [2000.0]
110 --- 116 | cost [3160.0]
111 --- 112 | cost [1000.0]
115 --- 116 | cost [1000.0]
115 --- 124 | cost [4030.0]
120 --- 121 | cost [1000.0]
120 --- 122 | cost [2000.0]
124 --- 130 | cost [1500.0]
126 --- 127 | cost [2500.0]
126 --- 159 | cost [4125.0]
127 --- 129 | cost [2000.0]
129 --- 130 | cost [1415.0]
131 --- 134 | cost [2550.0]
134 --- 135 | cost [1500.0]
136 --- 138 | cost [2915.0]
139 --- 141 | cost [1000.0]
140 --- 142 | cost [2000.0]
141 --- 142 | cost [1415.0]
144 --- 146 | cost [1000.0]
146 --- 147 | cost [500.0]
147 --- 148 | cost [500.0]
152 --- 153 | cost [500.0]
154 --- 155 | cost [500.0]
155 --- 157 | cost [1500.0]
156 --- 157 | cost [500.0]
159 --- 160 | cost [1415.0]

STAR
6  --> 153 | cost [1000.0]
10 -->  9 | cost [500.0]
12 --> 11 | cost [1000.0]
16 --> 17 | cost [1120.0]
18 --> 19 | cost [1120.0]
22 --> 23 | cost [500.0]
26 --> 27 | cost [1120.0]
35 --> 34 | cost [500.0]
36 --> 37 | cost [500.0]
40 --> 39 | cost [500.0]
42 --> 41 | cost [1415.0]
43 --> 44 | cost [1415.0]
45 --> 44 | cost [1415.0]
46 --> 47 | cost [1000.0]
51 --> 50 | cost [1000.0]
63 --> 62 | cost [1500.0]
72 --> 71 | cost [500.0]
73 --> 71 | cost [1500.0]
77 --> 76 | cost [1580.0]
86 --> 85 | cost [500.0]
89 --> 90 | cost [1000.0]
95 --> 96 | cost [705.0]
107 --> 106 | cost [2000.0]
113 --> 112 | cost [1000.0]
114 --> 115 | cost [1000.0]
118 --> 117 | cost [1000.0]
119 --> 120 | cost [1000.0]
123 --> 122 | cost [1000.0]
125 --> 126 | cost [3200.0]
128 --> 129 | cost [1120.0]
132 --> 134 | cost [1120.0]
133 --> 134 | cost [500.0]
137 --> 138 | cost [1500.0]
143 --> 144 | cost [500.0]
145 --> 144 | cost [500.0]
149 --> 147 | cost [500.0]
150 --> 148 | cost [1120.0]
151 -->  7 | cost [1000.0]
158 --> 157 | cost [1120.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1