------------------------------------------------------------
                         α=5.0 —— rat195 —— 195 nodes       
------------------------------------------------------------

——————— Tue, 23 Jan 2024 23:42:56 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 168 hubs —— 1—14—15—16—17—29—30—31—32—33—47—46—45—44—43—42—41—40—53—54—55—56—57—58—71—70—69—68—67—66—79—80—81—82—83—84—97—96—95—94—93—92—105—106—119—120—133—132—145—146—158—159—160—161—162—163—164—165—178—177—176—175—174—173—172—171—183—184—185—186—187—188—189—190—191—192—193—194—195—182—181—180—167—168—156—155—154—153—152—151—150—149—148—147—134—135—136—137—138—139—140—141—142—129—128—127—126—125—124—123—122—121—108—109—110—111—112—113—114—115—116—103—102—101—100—99—87—86—85—72—73—74—75—76—89—90—77—78—65—64—63—62—61—49—50—51—38—37—36—35—34—21—22—23—24—25—12—11—10—9—8—7—6—5—4—3—2—196
total time           2542.69              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             11320<=11320         subtour              9543.0               
connectivity cuts    1717.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1743                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—14—15—16—17—29—30—31—32—33—47—46—45—44—43—42—41—40—53—54—55—56—57—58—71—70—69—68—67—66—79—80—81—82—83—84—97—96—95—94—93—92—105—106—119—120—133—132—145—146—158—159—160—161—162—163—164—165—178—177—176—175—174—173—172—171—183—184—185—186—187—188—189—190—191—192—193—194—195—182—181—180—167—168—156—155—154—153—152—151—150—149—148—147—134—135—136—137—138—139—140—141—142—129—128—127—126—125—124—123—122—121—108—109—110—111—112—113—114—115—116—103—102—101—100—99—87—86—85—72—73—74—75—76—89—90—77—78—65—64—63—62—61—49—50—51—38—37—36—35—34—21—22—23—24—25—12—11—10—9—8—7—6—5—4—3—2—196

RING
1  --- 14 | cost [100.0]
1  --- 196 | cost [0.0]
2  ---  3 | cost [35.0]
2  --- 196 | cost [70.0]
3  ---  4 | cost [55.0]
4  ---  5 | cost [65.0]
5  ---  6 | cost [35.0]
6  ---  7 | cost [65.0]
7  ---  8 | cost [65.0]
8  ---  9 | cost [55.0]
9  --- 10 | cost [40.0]
10 --- 11 | cost [65.0]
11 --- 12 | cost [45.0]
12 --- 25 | cost [85.0]
14 --- 15 | cost [60.0]
15 --- 16 | cost [55.0]
16 --- 17 | cost [35.0]
17 --- 29 | cost [85.0]
21 --- 22 | cost [55.0]
21 --- 34 | cost [60.0]
22 --- 23 | cost [60.0]
23 --- 24 | cost [45.0]
24 --- 25 | cost [55.0]
29 --- 30 | cost [55.0]
30 --- 31 | cost [65.0]
31 --- 32 | cost [35.0]
32 --- 33 | cost [65.0]
33 --- 47 | cost [80.0]
34 --- 35 | cost [70.0]
35 --- 36 | cost [50.0]
36 --- 37 | cost [30.0]
37 --- 38 | cost [70.0]
38 --- 51 | cost [90.0]
40 --- 41 | cost [45.0]
40 --- 53 | cost [45.0]
41 --- 42 | cost [60.0]
42 --- 43 | cost [45.0]
43 --- 44 | cost [60.0]
44 --- 45 | cost [40.0]
45 --- 46 | cost [65.0]
46 --- 47 | cost [40.0]
49 --- 50 | cost [80.0]
49 --- 61 | cost [95.0]
50 --- 51 | cost [50.0]
53 --- 54 | cost [65.0]
54 --- 55 | cost [60.0]
55 --- 56 | cost [80.0]
56 --- 57 | cost [50.0]
57 --- 58 | cost [50.0]
58 --- 71 | cost [50.0]
61 --- 62 | cost [65.0]
62 --- 63 | cost [45.0]
63 --- 64 | cost [60.0]
64 --- 65 | cost [40.0]
65 --- 78 | cost [80.0]
66 --- 67 | cost [45.0]
66 --- 79 | cost [65.0]
67 --- 68 | cost [45.0]
68 --- 69 | cost [65.0]
69 --- 70 | cost [40.0]
70 --- 71 | cost [75.0]
72 --- 73 | cost [45.0]
72 --- 85 | cost [60.0]
73 --- 74 | cost [70.0]
74 --- 75 | cost [60.0]
75 --- 76 | cost [40.0]
76 --- 89 | cost [65.0]
77 --- 78 | cost [55.0]
77 --- 90 | cost [75.0]
79 --- 80 | cost [55.0]
80 --- 81 | cost [65.0]
81 --- 82 | cost [55.0]
82 --- 83 | cost [50.0]
83 --- 84 | cost [50.0]
84 --- 97 | cost [70.0]
85 --- 86 | cost [70.0]
86 --- 87 | cost [45.0]
87 --- 99 | cost [90.0]
89 --- 90 | cost [70.0]
92 --- 93 | cost [50.0]
92 --- 105 | cost [65.0]
93 --- 94 | cost [50.0]
94 --- 95 | cost [55.0]
95 --- 96 | cost [50.0]
96 --- 97 | cost [65.0]
99 --- 100 | cost [60.0]
100 --- 101 | cost [30.0]
101 --- 102 | cost [60.0]
102 --- 103 | cost [65.0]
103 --- 116 | cost [80.0]
105 --- 106 | cost [75.0]
106 --- 119 | cost [80.0]
108 --- 109 | cost [55.0]
108 --- 121 | cost [55.0]
109 --- 110 | cost [50.0]
110 --- 111 | cost [65.0]
111 --- 112 | cost [60.0]
112 --- 113 | cost [55.0]
113 --- 114 | cost [40.0]
114 --- 115 | cost [65.0]
115 --- 116 | cost [40.0]
119 --- 120 | cost [55.0]
120 --- 133 | cost [70.0]
121 --- 122 | cost [40.0]
122 --- 123 | cost [55.0]
123 --- 124 | cost [60.0]
124 --- 125 | cost [55.0]
125 --- 126 | cost [45.0]
126 --- 127 | cost [45.0]
127 --- 128 | cost [75.0]
128 --- 129 | cost [35.0]
129 --- 142 | cost [65.0]
132 --- 133 | cost [50.0]
132 --- 145 | cost [70.0]
134 --- 135 | cost [65.0]
134 --- 147 | cost [55.0]
135 --- 136 | cost [55.0]
136 --- 137 | cost [55.0]
137 --- 138 | cost [50.0]
138 --- 139 | cost [50.0]
139 --- 140 | cost [50.0]
140 --- 141 | cost [60.0]
141 --- 142 | cost [70.0]
145 --- 146 | cost [75.0]
146 --- 158 | cost [80.0]
147 --- 148 | cost [45.0]
148 --- 149 | cost [60.0]
149 --- 150 | cost [65.0]
150 --- 151 | cost [45.0]
151 --- 152 | cost [65.0]
152 --- 153 | cost [45.0]
153 --- 154 | cost [60.0]
154 --- 155 | cost [60.0]
155 --- 156 | cost [55.0]
156 --- 168 | cost [105.0]
158 --- 159 | cost [70.0]
159 --- 160 | cost [55.0]
160 --- 161 | cost [70.0]
161 --- 162 | cost [60.0]
162 --- 163 | cost [40.0]
163 --- 164 | cost [40.0]
164 --- 165 | cost [70.0]
165 --- 178 | cost [75.0]
167 --- 168 | cost [65.0]
167 --- 180 | cost [40.0]
171 --- 172 | cost [55.0]
171 --- 183 | cost [80.0]
172 --- 173 | cost [65.0]
173 --- 174 | cost [40.0]
174 --- 175 | cost [45.0]
175 --- 176 | cost [65.0]
176 --- 177 | cost [35.0]
177 --- 178 | cost [65.0]
180 --- 181 | cost [60.0]
181 --- 182 | cost [55.0]
182 --- 195 | cost [85.0]
183 --- 184 | cost [60.0]
184 --- 185 | cost [45.0]
185 --- 186 | cost [50.0]
186 --- 187 | cost [55.0]
187 --- 188 | cost [60.0]
188 --- 189 | cost [80.0]
189 --- 190 | cost [30.0]
190 --- 191 | cost [80.0]
191 --- 192 | cost [55.0]
192 --- 193 | cost [60.0]
193 --- 194 | cost [50.0]
194 --- 195 | cost [70.0]

STAR
13 --> 12 | cost [40.0]
18 --> 17 | cost [45.0]
19 -->  6 | cost [65.0]
20 --> 21 | cost [50.0]
26 --> 25 | cost [60.0]
27 --> 14 | cost [80.0]
28 --> 29 | cost [60.0]
39 --> 38 | cost [60.0]
48 --> 47 | cost [55.0]
52 --> 51 | cost [45.0]
59 --> 58 | cost [65.0]
60 --> 61 | cost [35.0]
88 --> 89 | cost [35.0]
91 --> 90 | cost [55.0]
98 --> 97 | cost [60.0]
104 --> 103 | cost [55.0]
107 --> 106 | cost [55.0]
117 --> 116 | cost [55.0]
118 --> 119 | cost [65.0]
130 --> 129 | cost [60.0]
131 --> 132 | cost [60.0]
143 --> 142 | cost [60.0]
144 --> 145 | cost [35.0]
157 --> 158 | cost [45.0]
166 --> 165 | cost [40.0]
169 --> 168 | cost [70.0]
170 --> 171 | cost [70.0]
179 --> 178 | cost [55.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Wed, 24 Jan 2024 00:43:41 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 21 hubs —— 1-105-119-145-133-148-139-153-168-195-194-193-192-190-188-173-160-161-134-33-196-1
total time           3613.4 (TL 3600)     gap                  0.725                
blossom time         0                    nb blossom           0.0                  
LB <= UB             11240<=40815         Master/SP costs      40815/0              
Master time          3613.4               SP time              0.0                  
subtour              31156.0              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       4457                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—105—119—145—133—148—139—153—168—195—194—193—192—190—188—173—160—161—134—33—196

RING
1  --- 105 | cost [760.0]
33 --- 134 | cost [815.0]
33 --- 196 | cost [370.0]
105 --- 119 | cost [135.0]
119 --- 145 | cost [195.0]
133 --- 145 | cost [105.0]
133 --- 148 | cost [130.0]
134 --- 161 | cost [185.0]
139 --- 148 | cost [220.0]
139 --- 153 | cost [125.0]
153 --- 168 | cost [105.0]
160 --- 161 | cost [70.0]
160 --- 173 | cost [100.0]
168 --- 195 | cost [230.0]
173 --- 188 | cost [165.0]
188 --- 190 | cost [110.0]
190 --- 192 | cost [105.0]
192 --- 193 | cost [60.0]
193 --- 194 | cost [50.0]
194 --- 195 | cost [70.0]

STAR
2  -->  1 | cost [70.0]
3  -->  1 | cost [100.0]
4  -->  1 | cost [155.0]
5  -->  1 | cost [220.0]
6  --> 33 | cost [215.0]
7  --> 33 | cost [190.0]
8  --> 33 | cost [240.0]
9  --> 33 | cost [265.0]
10 --> 33 | cost [275.0]
11 --> 33 | cost [310.0]
12 --> 33 | cost [325.0]
13 --> 33 | cost [355.0]
14 -->  1 | cost [100.0]
15 -->  1 | cost [115.0]
16 -->  1 | cost [160.0]
17 -->  1 | cost [185.0]
18 --> 33 | cost [150.0]
19 --> 33 | cost [155.0]
20 --> 33 | cost [110.0]
21 --> 33 | cost [120.0]
22 --> 33 | cost [145.0]
23 --> 33 | cost [200.0]
24 --> 33 | cost [245.0]
25 --> 33 | cost [270.0]
26 --> 33 | cost [320.0]
27 -->  1 | cost [180.0]
28 -->  1 | cost [180.0]
29 --> 33 | cost [190.0]
30 --> 33 | cost [140.0]
31 --> 33 | cost [80.0]
32 -->  1 | cost [305.0]
34 --> 33 | cost [75.0]
35 --> 105 | cost [715.0]
36 --> 33 | cost [170.0]
37 --> 33 | cost [195.0]
38 --> 33 | cost [255.0]
39 --> 33 | cost [315.0]
40 -->  1 | cost [315.0]
41 --> 33 | cost [265.0]
42 --> 33 | cost [210.0]
43 -->  1 | cost [345.0]
44 --> 33 | cost [110.0]
45 --> 33 | cost [105.0]
46 -->  1 | cost [420.0]
47 --> 33 | cost [80.0]
48 --> 33 | cost [120.0]
49 --> 33 | cost [180.0]
50 --> 33 | cost [220.0]
51 --> 33 | cost [270.0]
52 --> 33 | cost [315.0]
53 --> 105 | cost [400.0]
54 --> 33 | cost [325.0]
55 --> 33 | cost [280.0]
56 --> 153 | cost [810.0]
57 -->  1 | cost [435.0]
58 --> 33 | cost [210.0]
59 --> 33 | cost [160.0]
60 --> 33 | cost [205.0]
61 --> 105 | cost [550.0]
62 --> 33 | cost [255.0]
63 --> 33 | cost [270.0]
64 --> 33 | cost [325.0]
65 --> 139 | cost [625.0]
66 --> 105 | cost [250.0]
67 --> 105 | cost [270.0]
68 --> 105 | cost [280.0]
69 --> 33 | cost [305.0]
70 --> 105 | cost [330.0]
71 --> 105 | cost [395.0]
72 --> 33 | cost [290.0]
73 --> 33 | cost [295.0]
74 --> 33 | cost [285.0]
75 --> 33 | cost [320.0]
76 --> 33 | cost [355.0]
77 --> 139 | cost [510.0]
78 --> 33 | cost [415.0]
79 --> 105 | cost [185.0]
80 --> 105 | cost [205.0]
81 --> 105 | cost [190.0]
82 --> 105 | cost [250.0]
83 --> 105 | cost [265.0]
84 --> 105 | cost [300.0]
85 --> 33 | cost [350.0]
86 --> 33 | cost [370.0]
87 --> 139 | cost [390.0]
88 --> 33 | cost [405.0]
89 --> 33 | cost [410.0]
90 --> 139 | cost [440.0]
91 --> 139 | cost [445.0]
92 --> 105 | cost [65.0]
93 --> 105 | cost [105.0]
94 --> 105 | cost [120.0]
95 --> 105 | cost [175.0]
96 --> 105 | cost [215.0]
97 --> 105 | cost [275.0]
98 --> 119 | cost [285.0]
99 --> 139 | cost [310.0]
100 --> 192 | cost [650.0]
101 --> 139 | cost [285.0]
102 --> 139 | cost [320.0]
103 --> 139 | cost [340.0]
104 --> 139 | cost [385.0]
106 --> 105 | cost [75.0]
107 --> 105 | cost [110.0]
108 --> 119 | cost [115.0]
109 --> 133 | cost [225.0]
110 --> 192 | cost [585.0]
111 --> 139 | cost [240.0]
112 --> 139 | cost [210.0]
113 --> 139 | cost [195.0]
114 --> 119 | cost [400.0]
115 --> 139 | cost [245.0]
116 --> 139 | cost [260.0]
117 --> 139 | cost [295.0]
118 --> 119 | cost [65.0]
120 --> 119 | cost [55.0]
121 --> 119 | cost [105.0]
122 --> 134 | cost [135.0]
123 --> 134 | cost [145.0]
124 --> 139 | cost [135.0]
125 --> 139 | cost [105.0]
126 --> 139 | cost [120.0]
127 --> 139 | cost [140.0]
128 --> 139 | cost [150.0]
129 --> 139 | cost [175.0]
130 --> 139 | cost [220.0]
131 --> 133 | cost [95.0]
132 --> 133 | cost [50.0]
135 --> 133 | cost [95.0]
136 --> 148 | cost [95.0]
137 --> 139 | cost [100.0]
138 --> 139 | cost [50.0]
140 --> 139 | cost [50.0]
141 --> 139 | cost [100.0]
142 --> 139 | cost [160.0]
143 --> 168 | cost [200.0]
144 --> 145 | cost [35.0]
146 --> 160 | cost [65.0]
147 --> 148 | cost [45.0]
149 --> 148 | cost [60.0]
150 --> 139 | cost [120.0]
151 --> 153 | cost [100.0]
152 --> 153 | cost [45.0]
154 --> 153 | cost [60.0]
155 --> 168 | cost [105.0]
156 --> 168 | cost [105.0]
157 --> 145 | cost [115.0]
158 --> 160 | cost [90.0]
159 --> 160 | cost [55.0]
162 --> 161 | cost [60.0]
163 --> 161 | cost [90.0]
164 --> 153 | cost [125.0]
165 --> 153 | cost [80.0]
166 --> 153 | cost [50.0]
167 --> 168 | cost [65.0]
169 --> 168 | cost [70.0]
170 --> 173 | cost [160.0]
171 --> 160 | cost [165.0]
172 --> 173 | cost [65.0]
174 --> 161 | cost [95.0]
175 --> 173 | cost [85.0]
176 --> 190 | cost [100.0]
177 --> 192 | cost [140.0]
178 --> 192 | cost [105.0]
179 --> 192 | cost [65.0]
180 --> 168 | cost [95.0]
181 --> 195 | cost [110.0]
182 --> 195 | cost [85.0]
183 --> 188 | cost [235.0]
184 --> 173 | cost [170.0]
185 --> 173 | cost [125.0]
186 --> 173 | cost [90.0]
187 --> 188 | cost [60.0]
189 --> 190 | cost [30.0]
191 --> 192 | cost [55.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1