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

——————— Thu, 25 Jan 2024 03:44:29 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 90 hubs —— 1—159—126—127—128—130—114—115—116—111—110—109—93—92—94—88—96—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—78—72—71—70—69—68—67—66—65—64—62—61—60—59—58—57—54—53—52—51—49—47—46—45—44—42—41—134—135—38—36—37—35—32—31—19—20—21—25—23—22—17—15—14—13—143—145—146—147—9—8—7—152—154—156—4—2—160
total time           305.74               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             235221<=235221       subtour              1212.0               
connectivity cuts    1500.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1498                 n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—126—127—128—130—114—115—116—111—110—109—93—92—94—88—96—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—78—72—71—70—69—68—67—66—65—64—62—61—60—59—58—57—54—53—52—51—49—47—46—45—44—42—41—134—135—38—36—37—35—32—31—19—20—21—25—23—22—17—15—14—13—143—145—146—147—9—8—7—152—154—156—4—2—160

RING
1  --- 159 | cost [1981.0]
2  ---  4 | cost [1400.0]
2  --- 160 | cost [5096.0]
4  --- 156 | cost [1568.0]
7  ---  8 | cost [1400.0]
7  --- 152 | cost [700.0]
8  ---  9 | cost [700.0]
9  --- 147 | cost [1400.0]
13 --- 14 | cost [1400.0]
13 --- 143 | cost [1568.0]
14 --- 15 | cost [700.0]
15 --- 17 | cost [1400.0]
17 --- 22 | cost [4200.0]
19 --- 20 | cost [987.0]
19 --- 31 | cost [2800.0]
20 --- 21 | cost [700.0]
21 --- 25 | cost [2527.0]
22 --- 23 | cost [700.0]
23 --- 25 | cost [2800.0]
31 --- 32 | cost [2527.0]
32 --- 35 | cost [4480.0]
35 --- 37 | cost [2100.0]
36 --- 37 | cost [700.0]
36 --- 38 | cost [1568.0]
38 --- 135 | cost [2212.0]
41 --- 42 | cost [1981.0]
41 --- 134 | cost [3129.0]
42 --- 44 | cost [2800.0]
44 --- 45 | cost [1981.0]
45 --- 46 | cost [1400.0]
46 --- 47 | cost [1400.0]
47 --- 49 | cost [3500.0]
49 --- 51 | cost [2527.0]
51 --- 52 | cost [2884.0]
52 --- 53 | cost [3500.0]
53 --- 54 | cost [1568.0]
54 --- 57 | cost [5775.0]
57 --- 58 | cost [987.0]
58 --- 59 | cost [2800.0]
59 --- 60 | cost [3500.0]
60 --- 61 | cost [2100.0]
61 --- 62 | cost [2100.0]
62 --- 64 | cost [2800.0]
64 --- 65 | cost [700.0]
65 --- 66 | cost [700.0]
66 --- 67 | cost [700.0]
67 --- 68 | cost [700.0]
68 --- 69 | cost [700.0]
69 --- 70 | cost [700.0]
70 --- 71 | cost [700.0]
71 --- 72 | cost [700.0]
72 --- 78 | cost [2100.0]
78 --- 79 | cost [700.0]
79 --- 80 | cost [700.0]
80 --- 81 | cost [700.0]
81 --- 82 | cost [700.0]
82 --- 83 | cost [700.0]
83 --- 84 | cost [700.0]
84 --- 85 | cost [700.0]
85 --- 86 | cost [700.0]
86 --- 97 | cost [2100.0]
88 --- 94 | cost [2100.0]
88 --- 96 | cost [1568.0]
92 --- 93 | cost [1400.0]
92 --- 94 | cost [3129.0]
93 --- 109 | cost [5467.0]
96 --- 103 | cost [4480.0]
97 --- 98 | cost [700.0]
98 --- 99 | cost [700.0]
99 --- 100 | cost [700.0]
100 --- 101 | cost [700.0]
101 --- 102 | cost [700.0]
102 --- 103 | cost [700.0]
109 --- 110 | cost [1400.0]
110 --- 111 | cost [1400.0]
111 --- 116 | cost [4200.0]
114 --- 115 | cost [1400.0]
114 --- 130 | cost [4424.0]
115 --- 116 | cost [1400.0]
126 --- 127 | cost [3500.0]
126 --- 159 | cost [5775.0]
127 --- 128 | cost [2527.0]
128 --- 130 | cost [2100.0]
134 --- 135 | cost [2100.0]
143 --- 145 | cost [987.0]
145 --- 146 | cost [1568.0]
146 --- 147 | cost [700.0]
152 --- 154 | cost [1568.0]
154 --- 156 | cost [2100.0]

STAR
3  -->  2 | cost [600.0]
5  -->  4 | cost [600.0]
6  --> 152 | cost [672.0]
10 -->  9 | cost [300.0]
11 --> 13 | cost [600.0]
12 --> 13 | cost [849.0]
16 --> 17 | cost [672.0]
18 --> 19 | cost [672.0]
24 --> 23 | cost [849.0]
26 --> 25 | cost [1341.0]
27 --> 25 | cost [900.0]
28 --> 25 | cost [1749.0]
29 --> 31 | cost [2475.0]
30 --> 31 | cost [1698.0]
33 --> 35 | cost [948.0]
34 --> 35 | cost [300.0]
39 --> 41 | cost [900.0]
40 --> 41 | cost [948.0]
43 --> 42 | cost [849.0]
48 --> 47 | cost [600.0]
50 --> 51 | cost [600.0]
55 --> 57 | cost [1272.0]
56 --> 57 | cost [900.0]
63 --> 62 | cost [900.0]
73 --> 71 | cost [900.0]
74 --> 51 | cost [1530.0]
75 --> 51 | cost [1698.0]
76 --> 78 | cost [1530.0]
77 --> 80 | cost [1200.0]
87 --> 88 | cost [600.0]
89 --> 94 | cost [672.0]
90 --> 94 | cost [672.0]
91 --> 94 | cost [1083.0]
95 --> 96 | cost [423.0]
104 --> 103 | cost [300.0]
105 --> 103 | cost [600.0]
106 --> 103 | cost [1500.0]
107 --> 103 | cost [2418.0]
108 --> 109 | cost [672.0]
112 --> 111 | cost [600.0]
113 --> 111 | cost [1200.0]
117 --> 116 | cost [600.0]
118 --> 116 | cost [1200.0]
119 --> 47 | cost [1800.0]
120 --> 44 | cost [1698.0]
121 --> 44 | cost [1341.0]
122 --> 44 | cost [1200.0]
123 --> 42 | cost [1341.0]
124 --> 130 | cost [900.0]
125 --> 126 | cost [1920.0]
129 --> 128 | cost [672.0]
131 --> 128 | cost [900.0]
132 --> 134 | cost [672.0]
133 --> 134 | cost [300.0]
136 --> 135 | cost [300.0]
137 --> 37 | cost [1272.0]
138 --> 37 | cost [900.0]
139 --> 145 | cost [1530.0]
140 --> 145 | cost [1749.0]
141 --> 145 | cost [948.0]
142 --> 143 | cost [849.0]
144 --> 143 | cost [300.0]
148 --> 147 | cost [300.0]
149 --> 147 | cost [300.0]
150 --> 147 | cost [849.0]
151 -->  7 | cost [600.0]
153 --> 152 | cost [300.0]
155 --> 154 | cost [300.0]
157 --> 156 | cost [300.0]
158 --> 156 | cost [849.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 25 Jan 2024 04:45:09 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 85 hubs —— 1-159-2-4-156-154-152-7-8-9-147-146-143-145-13-11-14-17-24-27-25-21-20-19-18-139-138-37-36-38-39-41-134-133-132-42-43-44-120-121-47-49-51-52-59-58-61-53-63-55-54-65-68-69-70-78-79-72-67-76-80-77-98-85-86-102-103-104-105-97-101-87-88-96-94-93-118-109-110-111-116-124-129-126-160-1
total time           3609.32 (TL 3600)    gap                  0.318                
blossom time         0                    nb blossom           0.0                  
LB <= UB             216638<=317877       Master/SP costs      317877/0             
Master time          3609.32              SP time              0.0                  
subtour              18392.0              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       19219                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—159—2—4—156—154—152—7—8—9—147—146—143—145—13—11—14—17—24—27—25—21—20—19—18—139—138—37—36—38—39—41—134—133—132—42—43—44—120—121—47—49—51—52—59—58—61—53—63—55—54—65—68—69—70—78—79—72—67—76—80—77—98—85—86—102—103—104—105—97—101—87—88—96—94—93—118—109—110—111—116—124—129—126—160

RING
1  --- 159 | cost [1981.0]
2  ---  4 | cost [1400.0]
2  --- 159 | cost [3500.0]
4  --- 156 | cost [1568.0]
7  ---  8 | cost [1400.0]
7  --- 152 | cost [700.0]
8  ---  9 | cost [700.0]
9  --- 147 | cost [1400.0]
11 --- 13 | cost [1400.0]
11 --- 14 | cost [2800.0]
13 --- 145 | cost [2527.0]
14 --- 17 | cost [2100.0]
17 --- 24 | cost [6454.0]
18 --- 19 | cost [1568.0]
18 --- 139 | cost [8456.0]
19 --- 20 | cost [987.0]
20 --- 21 | cost [700.0]
21 --- 25 | cost [2527.0]
24 --- 27 | cost [3773.0]
25 --- 27 | cost [2100.0]
36 --- 37 | cost [700.0]
36 --- 38 | cost [1568.0]
37 --- 138 | cost [2100.0]
38 --- 39 | cost [2212.0]
39 --- 41 | cost [2100.0]
41 --- 134 | cost [3129.0]
42 --- 43 | cost [1981.0]
42 --- 132 | cost [3773.0]
43 --- 44 | cost [1981.0]
44 --- 120 | cost [3962.0]
47 --- 49 | cost [3500.0]
47 --- 121 | cost [5047.0]
49 --- 51 | cost [2527.0]
51 --- 52 | cost [2884.0]
52 --- 59 | cost [11585.0]
53 --- 61 | cost [6601.0]
53 --- 63 | cost [3773.0]
54 --- 55 | cost [4949.0]
54 --- 65 | cost [6020.0]
55 --- 63 | cost [7210.0]
58 --- 59 | cost [2800.0]
58 --- 61 | cost [7000.0]
65 --- 68 | cost [2100.0]
67 --- 72 | cost [3500.0]
67 --- 76 | cost [6020.0]
68 --- 69 | cost [700.0]
69 --- 70 | cost [700.0]
70 --- 78 | cost [3500.0]
72 --- 79 | cost [2800.0]
76 --- 80 | cost [4081.0]
77 --- 80 | cost [2800.0]
77 --- 98 | cost [7539.0]
78 --- 79 | cost [700.0]
85 --- 86 | cost [700.0]
85 --- 98 | cost [3500.0]
86 --- 102 | cost [5600.0]
87 --- 88 | cost [1400.0]
87 --- 101 | cost [4081.0]
88 --- 96 | cost [1568.0]
93 --- 94 | cost [3962.0]
93 --- 118 | cost [4256.0]
94 --- 96 | cost [3129.0]
97 --- 101 | cost [2800.0]
97 --- 105 | cost [5600.0]
102 --- 103 | cost [700.0]
103 --- 104 | cost [700.0]
104 --- 105 | cost [700.0]
109 --- 110 | cost [1400.0]
109 --- 118 | cost [4200.0]
110 --- 111 | cost [1400.0]
111 --- 116 | cost [4200.0]
116 --- 124 | cost [7035.0]
120 --- 121 | cost [1400.0]
124 --- 129 | cost [1568.0]
126 --- 129 | cost [5978.0]
126 --- 160 | cost [7539.0]
132 --- 133 | cost [1981.0]
133 --- 134 | cost [700.0]
138 --- 139 | cost [3500.0]
143 --- 145 | cost [987.0]
143 --- 146 | cost [2100.0]
146 --- 147 | cost [700.0]
152 --- 154 | cost [1568.0]
154 --- 156 | cost [2100.0]

STAR
3  -->  2 | cost [600.0]
5  -->  4 | cost [600.0]
6  --> 152 | cost [672.0]
10 -->  9 | cost [300.0]
12 --> 11 | cost [600.0]
15 --> 14 | cost [300.0]
16 --> 17 | cost [672.0]
22 --> 21 | cost [849.0]
23 --> 21 | cost [672.0]
26 --> 27 | cost [672.0]
28 --> 27 | cost [1083.0]
29 --> 19 | cost [3000.0]
30 --> 18 | cost [3246.0]
31 --> 19 | cost [1200.0]
32 --> 19 | cost [2013.0]
33 --> 36 | cost [1800.0]
34 --> 36 | cost [900.0]
35 --> 37 | cost [900.0]
40 --> 39 | cost [300.0]
45 --> 44 | cost [849.0]
46 --> 47 | cost [600.0]
48 --> 47 | cost [600.0]
50 --> 51 | cost [600.0]
56 --> 55 | cost [900.0]
57 --> 58 | cost [423.0]
60 --> 61 | cost [900.0]
62 --> 61 | cost [900.0]
64 --> 65 | cost [300.0]
66 --> 65 | cost [300.0]
71 --> 70 | cost [300.0]
73 --> 72 | cost [948.0]
74 --> 76 | cost [1083.0]
75 --> 76 | cost [900.0]
81 --> 80 | cost [300.0]
82 --> 80 | cost [600.0]
83 --> 85 | cost [600.0]
84 --> 85 | cost [300.0]
89 --> 94 | cost [672.0]
90 --> 94 | cost [672.0]
91 --> 94 | cost [1083.0]
92 --> 93 | cost [600.0]
95 --> 96 | cost [423.0]
99 --> 98 | cost [300.0]
100 --> 101 | cost [300.0]
106 --> 105 | cost [1083.0]
107 --> 105 | cost [2184.0]
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]
117 --> 118 | cost [600.0]
119 --> 120 | cost [600.0]
122 --> 121 | cost [600.0]
123 --> 121 | cost [1200.0]
125 --> 126 | cost [1920.0]
127 --> 129 | cost [1200.0]
128 --> 129 | cost [672.0]
130 --> 129 | cost [849.0]
131 --> 132 | cost [1083.0]
135 --> 134 | cost [900.0]
136 --> 133 | cost [900.0]
137 --> 138 | cost [900.0]
140 --> 139 | cost [600.0]
141 --> 139 | cost [600.0]
142 --> 143 | cost [849.0]
144 --> 145 | cost [300.0]
148 --> 147 | cost [300.0]
149 --> 147 | cost [300.0]
150 --> 147 | cost [849.0]
151 -->  7 | cost [600.0]
153 --> 152 | cost [300.0]
155 --> 154 | cost [300.0]
157 --> 156 | cost [300.0]
158 --> 156 | cost [849.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1