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

——————— Sun, 14 Jan 2024 03:00:55 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—159—160
total time           3614.0 (TL 3600)     gap                  0.099                
blossom time         0                    nb blossom           0.0                  
LB <= UB             196450<=217999.99    subtour              27161.0              
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       9312                 n lazycuts edges     1.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—160

RING
1  --- 159 | cost [1415.0]
2  ---  3 | cost [1000.0]
2  ---  4 | cost [1000.0]
3  ---  4 | cost [1415.0]
5  --- 153 | cost [1000.0]
5  --- 156 | cost [1120.0]
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 --- 135 | cost [1580.0]
39 --- 40 | cost [500.0]
39 --- 41 | cost [1500.0]
40 --- 41 | cost [1580.0]
45 --- 46 | cost [1000.0]
45 --- 47 | cost [2000.0]
46 --- 47 | cost [1000.0]
49 --- 50 | cost [1500.0]
49 --- 51 | cost [1805.0]
50 --- 51 | cost [1000.0]
52 --- 53 | cost [2500.0]
52 --- 74 | cost [3200.0]
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 --- 76 | cost [1805.0]
74 --- 75 | cost [1580.0]
75 --- 76 | cost [1500.0]
77 --- 79 | cost [2060.0]
77 --- 80 | cost [2000.0]
79 --- 82 | cost [1500.0]
80 --- 81 | cost [500.0]
81 --- 82 | cost [500.0]
83 --- 84 | cost [500.0]
83 --- 85 | cost [1000.0]
84 --- 85 | cost [500.0]
87 --- 96 | cost [1120.0]
87 --- 97 | cost [1580.0]
89 --- 90 | cost [1000.0]
89 --- 94 | cost [1120.0]
90 --- 94 | cost [1120.0]
92 --- 93 | cost [1000.0]
92 --- 118 | cost [3040.0]
93 --- 108 | cost [3605.0]
95 --- 96 | cost [705.0]
95 --- 107 | 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]
106 --- 107 | cost [2000.0]
108 --- 109 | cost [1120.0]
109 --- 110 | cost [1000.0]
110 --- 111 | cost [1000.0]
111 --- 112 | cost [1000.0]
112 --- 115 | cost [3000.0]
115 --- 116 | cost [1000.0]
116 --- 117 | cost [1000.0]
117 --- 118 | cost [1000.0]
120 --- 121 | cost [1000.0]
120 --- 122 | cost [2000.0]
121 --- 122 | cost [1000.0]
126 --- 127 | cost [2500.0]
126 --- 158 | cost [2830.0]
127 --- 129 | cost [2000.0]
128 --- 129 | cost [1120.0]
128 --- 131 | cost [1500.0]
131 --- 132 | cost [1805.0]
132 --- 134 | cost [1120.0]
133 --- 134 | cost [500.0]
133 --- 136 | cost [1500.0]
135 --- 136 | cost [500.0]
137 --- 138 | cost [1500.0]
137 --- 139 | cost [2000.0]
138 --- 140 | cost [2060.0]
139 --- 141 | cost [1000.0]
140 --- 142 | cost [2000.0]
141 --- 142 | cost [1415.0]
147 --- 148 | cost [500.0]
147 --- 149 | cost [500.0]
148 --- 149 | cost [705.0]
151 --- 154 | cost [1000.0]
151 --- 155 | cost [1120.0]
152 --- 153 | cost [500.0]
154 --- 155 | cost [500.0]
156 --- 157 | cost [500.0]
157 --- 158 | cost [1120.0]
159 --- 160 | cost [1415.0]

STAR
6  --> 153 | cost [1000.0]
12 --> 11 | cost [1000.0]
16 --> 15 | cost [1120.0]
22 --> 23 | cost [500.0]
26 --> 27 | cost [1120.0]
42 --> 41 | cost [1415.0]
43 --> 45 | cost [2000.0]
44 --> 45 | cost [1415.0]
48 --> 47 | cost [1000.0]
63 --> 62 | cost [1500.0]
72 --> 71 | cost [500.0]
78 --> 79 | cost [500.0]
86 --> 85 | cost [500.0]
88 --> 87 | cost [1000.0]
91 --> 90 | cost [1000.0]
113 --> 112 | cost [1000.0]
114 --> 115 | cost [1000.0]
119 --> 120 | cost [1000.0]
123 --> 122 | cost [1000.0]
124 --> 129 | cost [1120.0]
125 --> 126 | cost [3200.0]
130 --> 129 | cost [1415.0]
143 --> 157 | cost [6020.0]
144 --> 157 | cost [5525.0]
145 --> 157 | cost [5500.0]
146 --> 147 | cost [500.0]
150 --> 151 | cost [1120.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Sun, 14 Jan 2024 04:01:45 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 5 hubs —— 1-159-158-157-160-1
total time           3617.34 (TL 3600)    gap                  0.928                
blossom time         0                    nb blossom           0.0                  
LB <= UB             192475<=2675890      Master/SP costs      2675890/0            
Master time          3617.34              SP time              0.0                  
subtour              41787.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            0.0                  SP method            poly                 
tildeV               empty                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       11689                
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—159—158—157—160

RING
1  --- 159 | cost [1415.0]
157 --- 158 | cost [1120.0]
157 --- 160 | cost [5590.0]
158 --- 159 | cost [3605.0]

STAR
2  --> 159 | cost [2500.0]
3  --> 159 | cost [2695.0]
4  --> 159 | cost [3500.0]
5  --> 159 | cost [4500.0]
6  --> 159 | cost [5590.0]
7  --> 159 | cost [6500.0]
8  --> 159 | cost [7500.0]
9  --> 159 | cost [8000.0]
10 --> 159 | cost [8500.0]
11 --> 159 | cost [9500.0]
12 --> 159 | cost [9550.0]
13 --> 159 | cost [10500.0]
14 --> 159 | cost [11500.0]
15 --> 159 | cost [12000.0]
16 --> 159 | cost [12540.0]
17 --> 159 | cost [13000.0]
18 --> 159 | cost [15570.0]
19 --> 159 | cost [16620.0]
20 --> 159 | cost [17065.0]
21 --> 159 | cost [17030.0]
22 --> 159 | cost [16000.0]
23 --> 159 | cost [16500.0]
24 --> 159 | cost [17530.0]
25 --> 159 | cost [18500.0]
26 --> 159 | cost [20525.0]
27 --> 159 | cost [20000.0]
28 --> 159 | cost [21055.0]
29 --> 159 | cost [21100.0]
30 --> 159 | cost [19450.0]
31 --> 159 | cost [16980.0]
32 --> 159 | cost [15810.0]
33 --> 159 | cost [16560.0]
34 --> 159 | cost [15265.0]
35 --> 159 | cost [15010.0]
36 --> 159 | cost [14010.0]
37 --> 159 | cost [13730.0]
38 --> 159 | cost [13510.0]
39 --> 159 | cost [14140.0]
40 --> 159 | cost [14500.0]
41 --> 159 | cost [13125.0]
42 --> 159 | cost [13315.0]
43 --> 159 | cost [14705.0]
44 --> 159 | cost [15010.0]
45 --> 159 | cost [16380.0]
46 --> 159 | cost [17240.0]
47 --> 159 | cost [18120.0]
48 --> 159 | cost [19005.0]
49 --> 159 | cost [20410.0]
50 --> 159 | cost [21710.0]
51 --> 159 | cost [22210.0]
52 --> 159 | cost [23715.0]
53 --> 159 | cost [26100.0]
54 --> 159 | cost [27100.0]
55 --> 159 | cost [26870.0]
56 --> 159 | cost [27950.0]
57 --> 159 | cost [28990.0]
58 --> 159 | cost [29700.0]
59 --> 159 | cost [31145.0]
60 --> 159 | cost [31705.0]
61 --> 159 | cost [30805.0]
62 --> 159 | cost [29955.0]
63 --> 159 | cost [28715.0]
64 --> 159 | cost [28900.0]
65 --> 159 | cost [28655.0]
66 --> 159 | cost [28410.0]
67 --> 159 | cost [28180.0]
68 --> 159 | cost [27950.0]
69 --> 159 | cost [27730.0]
70 --> 159 | cost [27520.0]
71 --> 159 | cost [27315.0]
72 --> 159 | cost [27115.0]
73 --> 159 | cost [25945.0]
74 --> 159 | cost [24150.0]
75 --> 159 | cost [23050.0]
76 --> 159 | cost [24425.0]
77 --> 159 | cost [24350.0]
78 --> 159 | cost [26570.0]
79 --> 159 | cost [26405.0]
80 --> 159 | cost [26250.0]
81 --> 159 | cost [26100.0]
82 --> 159 | cost [25960.0]
83 --> 159 | cost [25830.0]
84 --> 159 | cost [25710.0]
85 --> 159 | cost [25600.0]
86 --> 159 | cost [25495.0]
87 --> 159 | cost [23840.0]
88 --> 159 | cost [22855.0]
89 --> 159 | cost [22075.0]
90 --> 159 | cost [21100.0]
91 --> 159 | cost [20130.0]
92 --> 159 | cost [19235.0]
93 --> 159 | cost [19105.0]
94 --> 159 | cost [21380.0]
95 --> 159 | cost [22640.0]
96 --> 159 | cost [23195.0]
97 --> 159 | cost [25245.0]
98 --> 159 | cost [25180.0]
99 --> 159 | cost [25125.0]
100 --> 159 | cost [25080.0]
101 --> 159 | cost [25045.0]
102 --> 159 | cost [25020.0]
103 --> 159 | cost [25005.0]
104 --> 159 | cost [25000.0]
105 --> 159 | cost [25005.0]
106 --> 159 | cost [23550.0]
107 --> 159 | cost [21550.0]
108 --> 159 | cost [17030.0]
109 --> 159 | cost [16010.0]
110 --> 159 | cost [15010.0]
111 --> 159 | cost [14010.0]
112 --> 159 | cost [13010.0]
113 --> 159 | cost [12010.0]
114 --> 159 | cost [12260.0]
115 --> 159 | cost [13240.0]
116 --> 159 | cost [14220.0]
117 --> 159 | cost [15205.0]
118 --> 159 | cost [16195.0]
119 --> 159 | cost [16920.0]
120 --> 159 | cost [15975.0]
121 --> 159 | cost [15040.0]
122 --> 159 | cost [14115.0]
123 --> 159 | cost [13200.0]
124 --> 159 | cost [9220.0]
125 --> 159 | cost [6185.0]
126 --> 159 | cost [4125.0]
127 --> 159 | cost [6500.0]
128 --> 159 | cost [8275.0]
129 --> 159 | cost [8380.0]
130 --> 159 | cost [9655.0]
131 --> 159 | cost [9015.0]
132 --> 159 | cost [10700.0]
133 --> 159 | cost [10605.0]
134 --> 159 | cost [10965.0]
135 --> 159 | cost [12040.0]
136 --> 159 | cost [11715.0]
137 --> 159 | cost [11660.0]
138 --> 159 | cost [12970.0]
139 --> 159 | cost [10770.0]
140 --> 159 | cost [11705.0]
141 --> 159 | cost [10440.0]
142 --> 159 | cost [11180.0]
143 --> 159 | cost [10050.0]
144 --> 159 | cost [9550.0]
145 --> 159 | cost [9620.0]
146 --> 159 | cost [8560.0]
147 --> 159 | cost [8060.0]
148 --> 159 | cost [7565.0]
149 --> 159 | cost [8140.0]
150 --> 159 | cost [7280.0]
151 --> 159 | cost [6575.0]
152 --> 159 | cost [6000.0]
153 --> 159 | cost [5500.0]
154 --> 159 | cost [5590.0]
155 --> 159 | cost [5700.0]
156 --> 159 | cost [4125.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1