------------------------------------------------------------
                           α=3.0 —— u159 —— 159 nodes       
------------------------------------------------------------

——————— Tue, 16 Jan 2024 23:12:19 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 5 hubs —— 1-159-158-157-160-1
total time           3626.7 (TL 3600)     gap                  0.967                
blossom time         0                    nb blossom           0.0                  
LB <= UB             122389<=3736862      Master/SP costs      3736862/0            
Master time          3626.7               SP time              0.0                  
subtour              24366.0              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       5701                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—159—158—157—160

RING
1  --- 159 | cost [849.0]
157 --- 158 | cost [672.0]
157 --- 160 | cost [3354.0]
158 --- 159 | cost [2163.0]

STAR
2  --> 159 | cost [3500.0]
3  --> 159 | cost [3773.0]
4  --> 159 | cost [4900.0]
5  --> 159 | cost [6300.0]
6  --> 159 | cost [7826.0]
7  --> 159 | cost [9100.0]
8  --> 159 | cost [10500.0]
9  --> 159 | cost [11200.0]
10 --> 159 | cost [11900.0]
11 --> 159 | cost [13300.0]
12 --> 159 | cost [13370.0]
13 --> 159 | cost [14700.0]
14 --> 159 | cost [16100.0]
15 --> 159 | cost [16800.0]
16 --> 159 | cost [17556.0]
17 --> 159 | cost [18200.0]
18 --> 159 | cost [21798.0]
19 --> 159 | cost [23268.0]
20 --> 159 | cost [23891.0]
21 --> 159 | cost [23842.0]
22 --> 159 | cost [22400.0]
23 --> 159 | cost [23100.0]
24 --> 159 | cost [24542.0]
25 --> 159 | cost [25900.0]
26 --> 159 | cost [28735.0]
27 --> 159 | cost [28000.0]
28 --> 159 | cost [29477.0]
29 --> 159 | cost [29540.0]
30 --> 159 | cost [27230.0]
31 --> 159 | cost [23772.0]
32 --> 159 | cost [22134.0]
33 --> 159 | cost [23184.0]
34 --> 159 | cost [21371.0]
35 --> 159 | cost [21014.0]
36 --> 159 | cost [19614.0]
37 --> 159 | cost [19222.0]
38 --> 159 | cost [18914.0]
39 --> 159 | cost [19796.0]
40 --> 159 | cost [20300.0]
41 --> 159 | cost [18375.0]
42 --> 159 | cost [18641.0]
43 --> 159 | cost [20587.0]
44 --> 159 | cost [21014.0]
45 --> 159 | cost [22932.0]
46 --> 159 | cost [24136.0]
47 --> 159 | cost [25368.0]
48 --> 159 | cost [26607.0]
49 --> 159 | cost [28574.0]
50 --> 159 | cost [30394.0]
51 --> 159 | cost [31094.0]
52 --> 159 | cost [33201.0]
53 --> 159 | cost [36540.0]
54 --> 159 | cost [37940.0]
55 --> 159 | cost [37618.0]
56 --> 159 | cost [39130.0]
57 --> 159 | cost [40586.0]
58 --> 159 | cost [41580.0]
59 --> 159 | cost [43603.0]
60 --> 159 | cost [44387.0]
61 --> 159 | cost [43127.0]
62 --> 159 | cost [41937.0]
63 --> 159 | cost [40201.0]
64 --> 159 | cost [40460.0]
65 --> 159 | cost [40117.0]
66 --> 159 | cost [39774.0]
67 --> 159 | cost [39452.0]
68 --> 159 | cost [39130.0]
69 --> 159 | cost [38822.0]
70 --> 159 | cost [38528.0]
71 --> 159 | cost [38241.0]
72 --> 159 | cost [37961.0]
73 --> 159 | cost [36323.0]
74 --> 159 | cost [33810.0]
75 --> 159 | cost [32270.0]
76 --> 159 | cost [34195.0]
77 --> 159 | cost [34090.0]
78 --> 159 | cost [37198.0]
79 --> 159 | cost [36967.0]
80 --> 159 | cost [36750.0]
81 --> 159 | cost [36540.0]
82 --> 159 | cost [36344.0]
83 --> 159 | cost [36162.0]
84 --> 159 | cost [35994.0]
85 --> 159 | cost [35840.0]
86 --> 159 | cost [35693.0]
87 --> 159 | cost [33376.0]
88 --> 159 | cost [31997.0]
89 --> 159 | cost [30905.0]
90 --> 159 | cost [29540.0]
91 --> 159 | cost [28182.0]
92 --> 159 | cost [26929.0]
93 --> 159 | cost [26747.0]
94 --> 159 | cost [29932.0]
95 --> 159 | cost [31696.0]
96 --> 159 | cost [32473.0]
97 --> 159 | cost [35343.0]
98 --> 159 | cost [35252.0]
99 --> 159 | cost [35175.0]
100 --> 159 | cost [35112.0]
101 --> 159 | cost [35063.0]
102 --> 159 | cost [35028.0]
103 --> 159 | cost [35007.0]
104 --> 159 | cost [35000.0]
105 --> 159 | cost [35007.0]
106 --> 159 | cost [32970.0]
107 --> 159 | cost [30170.0]
108 --> 159 | cost [23842.0]
109 --> 159 | cost [22414.0]
110 --> 159 | cost [21014.0]
111 --> 159 | cost [19614.0]
112 --> 159 | cost [18214.0]
113 --> 159 | cost [16814.0]
114 --> 159 | cost [17164.0]
115 --> 159 | cost [18536.0]
116 --> 159 | cost [19908.0]
117 --> 159 | cost [21287.0]
118 --> 159 | cost [22673.0]
119 --> 159 | cost [23688.0]
120 --> 159 | cost [22365.0]
121 --> 159 | cost [21056.0]
122 --> 159 | cost [19761.0]
123 --> 159 | cost [18480.0]
124 --> 159 | cost [12908.0]
125 --> 159 | cost [8659.0]
126 --> 159 | cost [5775.0]
127 --> 159 | cost [9100.0]
128 --> 159 | cost [11585.0]
129 --> 159 | cost [11732.0]
130 --> 159 | cost [13517.0]
131 --> 159 | cost [12621.0]
132 --> 159 | cost [14980.0]
133 --> 159 | cost [14847.0]
134 --> 159 | cost [15351.0]
135 --> 159 | cost [16856.0]
136 --> 159 | cost [16401.0]
137 --> 159 | cost [16324.0]
138 --> 159 | cost [18158.0]
139 --> 159 | cost [15078.0]
140 --> 159 | cost [16387.0]
141 --> 159 | cost [14616.0]
142 --> 159 | cost [15652.0]
143 --> 159 | cost [14070.0]
144 --> 159 | cost [13370.0]
145 --> 159 | cost [13468.0]
146 --> 159 | cost [11984.0]
147 --> 159 | cost [11284.0]
148 --> 159 | cost [10591.0]
149 --> 159 | cost [11396.0]
150 --> 159 | cost [10192.0]
151 --> 159 | cost [9205.0]
152 --> 159 | cost [8400.0]
153 --> 159 | cost [7700.0]
154 --> 159 | cost [7826.0]
155 --> 159 | cost [7980.0]
156 --> 159 | cost [5775.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Tue, 23 Jan 2024 10:54:45 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 24 hubs —— 1—3—2—4—157—158—128—131—132—41—40—134—8—9—10—11—12—13—137—138—20—21—159—160
total time           3612.47 (TL 3600)    gap                  0.92                 
blossom time         0                    nb blossom           0.0                  
LB <= UB             123464<=1541841      subtour              44516.0              
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       3095                 n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—3—2—4—157—158—128—131—132—41—40—134—8—9—10—11—12—13—137—138—20—21—159—160

RING
1  ---  3 | cost [2100.0]
2  ---  3 | cost [600.0]
2  ---  4 | cost [600.0]
4  --- 157 | cost [948.0]
8  ---  9 | cost [300.0]
8  --- 134 | cost [4800.0]
9  --- 10 | cost [300.0]
10 --- 11 | cost [600.0]
11 --- 12 | cost [600.0]
12 --- 13 | cost [849.0]
13 --- 137 | cost [3612.0]
20 --- 21 | cost [300.0]
20 --- 138 | cost [4263.0]
21 --- 159 | cost [10218.0]
40 --- 41 | cost [948.0]
40 --- 134 | cost [2121.0]
41 --- 132 | cost [1500.0]
128 --- 131 | cost [900.0]
128 --- 158 | cost [3315.0]
131 --- 132 | cost [1083.0]
137 --- 138 | cost [900.0]
157 --- 158 | cost [672.0]
159 --- 160 | cost [849.0]

STAR
5  --> 157 | cost [2212.0]
6  -->  8 | cost [3129.0]
7  -->  8 | cost [1400.0]
14 --> 13 | cost [1400.0]
15 --> 13 | cost [2100.0]
16 --> 13 | cost [3129.0]
17 --> 13 | cost [3500.0]
18 --> 20 | cost [2100.0]
19 --> 20 | cost [987.0]
22 --> 21 | cost [1981.0]
23 --> 21 | cost [1568.0]
24 --> 21 | cost [2884.0]
25 --> 21 | cost [2527.0]
26 --> 21 | cost [5642.0]
27 --> 21 | cost [4424.0]
28 --> 20 | cost [5600.0]
29 --> 20 | cost [6930.0]
30 --> 20 | cost [6643.0]
31 --> 20 | cost [3570.0]
32 --> 138 | cost [5096.0]
33 --> 138 | cost [5047.0]
34 --> 138 | cost [3500.0]
35 --> 138 | cost [2968.0]
36 --> 138 | cost [2800.0]
37 --> 138 | cost [2100.0]
38 --> 40 | cost [2884.0]
39 --> 40 | cost [700.0]
42 --> 41 | cost [1981.0]
43 --> 41 | cost [2800.0]
44 --> 41 | cost [4424.0]
45 --> 40 | cost [5334.0]
46 --> 40 | cost [6643.0]
47 --> 40 | cost [7980.0]
48 --> 40 | cost [9338.0]
49 --> 40 | cost [9828.0]
50 --> 40 | cost [11921.0]
51 --> 40 | cost [12082.0]
52 --> 40 | cost [13517.0]
53 --> 40 | cost [16597.0]
54 --> 40 | cost [17885.0]
55 --> 40 | cost [17332.0]
56 --> 20 | cost [24983.0]
57 --> 40 | cost [20300.0]
58 --> 40 | cost [21287.0]
59 --> 40 | cost [23310.0]
60 --> 40 | cost [24269.0]
61 --> 40 | cost [23184.0]
62 --> 40 | cost [22246.0]
63 --> 40 | cost [20349.0]
64 --> 40 | cost [21252.0]
65 --> 40 | cost [21056.0]
66 --> 40 | cost [20881.0]
67 --> 40 | cost [20727.0]
68 --> 40 | cost [20601.0]
69 --> 40 | cost [20489.0]
70 --> 40 | cost [20405.0]
71 --> 40 | cost [20349.0]
72 --> 40 | cost [20314.0]
73 --> 40 | cost [18256.0]
74 --> 40 | cost [15463.0]
75 --> 40 | cost [14714.0]
76 --> 40 | cost [16814.0]
77 --> 40 | cost [17724.0]
78 --> 40 | cost [20349.0]
79 --> 40 | cost [20405.0]
80 --> 40 | cost [20489.0]
81 --> 40 | cost [20601.0]
82 --> 40 | cost [20727.0]
83 --> 40 | cost [20881.0]
84 --> 40 | cost [21056.0]
85 --> 40 | cost [21252.0]
86 --> 40 | cost [21476.0]
87 --> 41 | cost [19922.0]
88 --> 41 | cost [18599.0]
89 --> 41 | cost [16828.0]
90 --> 41 | cost [15498.0]
91 --> 41 | cost [14175.0]
92 --> 41 | cost [14770.0]
93 --> 41 | cost [15540.0]
94 --> 41 | cost [16639.0]
95 --> 41 | cost [19411.0]
96 --> 41 | cost [19761.0]
97 --> 41 | cost [22134.0]
98 --> 41 | cost [22365.0]
99 --> 41 | cost [22617.0]
100 --> 41 | cost [22890.0]
101 --> 41 | cost [23177.0]
102 --> 41 | cost [23478.0]
103 --> 41 | cost [23800.0]
104 --> 41 | cost [24136.0]
105 --> 41 | cost [24493.0]
106 --> 128 | cost [23471.0]
107 --> 128 | cost [20811.0]
108 --> 128 | cost [14714.0]
109 --> 128 | cost [13153.0]
110 --> 128 | cost [11900.0]
111 --> 128 | cost [10682.0]
112 --> 128 | cost [9520.0]
113 --> 128 | cost [8428.0]
114 --> 128 | cost [6454.0]
115 --> 128 | cost [7826.0]
116 --> 128 | cost [9205.0]
117 --> 128 | cost [10591.0]
118 --> 41 | cost [11879.0]
119 --> 41 | cost [9394.0]
120 --> 41 | cost [8162.0]
121 --> 41 | cost [7000.0]
122 --> 41 | cost [5943.0]
123 --> 41 | cost [5047.0]
124 --> 128 | cost [2968.0]
125 --> 128 | cost [7308.0]
126 --> 158 | cost [3962.0]
127 --> 128 | cost [2527.0]
129 --> 128 | cost [1568.0]
130 --> 128 | cost [2100.0]
133 --> 134 | cost [700.0]
135 --> 134 | cost [2100.0]
136 --> 134 | cost [2212.0]
139 --> 137 | cost [2800.0]
140 --> 138 | cost [2884.0]
141 --> 137 | cost [4200.0]
142 --> 13 | cost [2884.0]
143 --> 13 | cost [1568.0]
144 --> 11 | cost [1400.0]
145 --> 11 | cost [2100.0]
146 --> 10 | cost [1400.0]
147 -->  9 | cost [1400.0]
148 -->  8 | cost [1400.0]
149 -->  9 | cost [2100.0]
150 -->  8 | cost [2884.0]
151 -->  8 | cost [1981.0]
152 -->  8 | cost [2100.0]
153 -->  8 | cost [2800.0]
154 --> 157 | cost [2212.0]
155 --> 157 | cost [2100.0]
156 --> 157 | cost [700.0]

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1