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

——————— Thu, 25 Jan 2024 02:09:12 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 160 hubs —— 1—159—158—157—156—155—154—151—150—149—148—147—146—145—144—143—142—141—139—140—138—137—136—135—133—134—132—131—128—127—126—125—129—124—130—123—122—121—120—119—118—117—116—115—114—113—112—111—110—109—108—93—92—91—90—89—94—88—87—96—95—107—106—105—104—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—78—77—76—75—74—73—72—71—70—69—68—67—66—65—64—63—62—61—60—59—58—57—56—55—54—53—52—51—50—49—48—47—46—45—44—43—42—41—40—39—38—36—37—35—34—33—32—31—30—29—28—27—26—25—24—23—22—21—20—19—18—17—16—15—14—13—11—12—10—9—8—7—152—153—6—5—4—2—3—160
total time           3497.01              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             126228<=126240       subtour              14865.0              
connectivity cuts    1954.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               empty                
2-opt strategy       0                                                              
explored_nodes       1958                 n lazycuts edges     0.0                  
F                    0.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—159—158—157—156—155—154—151—150—149—148—147—146—145—144—143—142—141—139—140—138—137—136—135—133—134—132—131—128—127—126—125—129—124—130—123—122—121—120—119—118—117—116—115—114—113—112—111—110—109—108—93—92—91—90—89—94—88—87—96—95—107—106—105—104—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—78—77—76—75—74—73—72—71—70—69—68—67—66—65—64—63—62—61—60—59—58—57—56—55—54—53—52—51—50—49—48—47—46—45—44—43—42—41—40—39—38—36—37—35—34—33—32—31—30—29—28—27—26—25—24—23—22—21—20—19—18—17—16—15—14—13—11—12—10—9—8—7—152—153—6—5—4—2—3—160

RING
1  --- 159 | cost [849.0]
1  --- 160 | cost [0.0]
2  ---  3 | cost [600.0]
2  ---  4 | cost [600.0]
3  --- 160 | cost [2100.0]
4  ---  5 | cost [600.0]
5  ---  6 | cost [849.0]
6  --- 153 | cost [600.0]
7  ---  8 | cost [600.0]
7  --- 152 | cost [300.0]
8  ---  9 | cost [300.0]
9  --- 10 | cost [300.0]
10 --- 12 | cost [849.0]
11 --- 12 | cost [600.0]
11 --- 13 | cost [600.0]
13 --- 14 | cost [600.0]
14 --- 15 | cost [300.0]
15 --- 16 | cost [672.0]
16 --- 17 | cost [672.0]
17 --- 18 | cost [1749.0]
18 --- 19 | cost [672.0]
19 --- 20 | cost [423.0]
20 --- 21 | cost [300.0]
21 --- 22 | cost [849.0]
22 --- 23 | cost [300.0]
23 --- 24 | cost [849.0]
24 --- 25 | cost [849.0]
25 --- 26 | cost [1341.0]
26 --- 27 | cost [672.0]
27 --- 28 | cost [1083.0]
28 --- 29 | cost [2121.0]
29 --- 30 | cost [1341.0]
30 --- 31 | cost [1698.0]
31 --- 32 | cost [1083.0]
32 --- 33 | cost [1824.0]
33 --- 34 | cost [900.0]
34 --- 35 | cost [300.0]
35 --- 37 | cost [900.0]
36 --- 37 | cost [300.0]
36 --- 38 | cost [672.0]
38 --- 39 | cost [948.0]
39 --- 40 | cost [300.0]
40 --- 41 | cost [948.0]
41 --- 42 | cost [849.0]
42 --- 43 | cost [849.0]
43 --- 44 | cost [849.0]
44 --- 45 | cost [849.0]
45 --- 46 | cost [600.0]
46 --- 47 | cost [600.0]
47 --- 48 | cost [600.0]
48 --- 49 | cost [1236.0]
49 --- 50 | cost [900.0]
50 --- 51 | cost [600.0]
51 --- 52 | cost [1236.0]
52 --- 53 | cost [1500.0]
53 --- 54 | cost [672.0]
54 --- 55 | cost [2121.0]
55 --- 56 | cost [900.0]
56 --- 57 | cost [900.0]
57 --- 58 | cost [423.0]
58 --- 59 | cost [1200.0]
59 --- 60 | cost [1500.0]
60 --- 61 | cost [900.0]
61 --- 62 | cost [900.0]
62 --- 63 | cost [900.0]
63 --- 64 | cost [1500.0]
64 --- 65 | cost [300.0]
65 --- 66 | cost [300.0]
66 --- 67 | cost [300.0]
67 --- 68 | cost [300.0]
68 --- 69 | cost [300.0]
69 --- 70 | cost [300.0]
70 --- 71 | cost [300.0]
71 --- 72 | cost [300.0]
72 --- 73 | cost [948.0]
73 --- 74 | cost [1200.0]
74 --- 75 | cost [948.0]
75 --- 76 | cost [900.0]
76 --- 77 | cost [948.0]
77 --- 78 | cost [1341.0]
78 --- 79 | cost [300.0]
79 --- 80 | cost [300.0]
80 --- 81 | cost [300.0]
81 --- 82 | cost [300.0]
82 --- 83 | cost [300.0]
83 --- 84 | cost [300.0]
84 --- 85 | cost [300.0]
85 --- 86 | cost [300.0]
86 --- 97 | cost [900.0]
87 --- 88 | cost [600.0]
87 --- 96 | cost [672.0]
88 --- 94 | cost [900.0]
89 --- 90 | cost [600.0]
89 --- 94 | cost [672.0]
90 --- 91 | cost [600.0]
91 --- 92 | cost [1236.0]
92 --- 93 | cost [600.0]
93 --- 108 | cost [2163.0]
95 --- 96 | cost [423.0]
95 --- 107 | cost [2475.0]
97 --- 98 | cost [300.0]
98 --- 99 | cost [300.0]
99 --- 100 | cost [300.0]
100 --- 101 | cost [300.0]
101 --- 102 | cost [300.0]
102 --- 103 | cost [300.0]
103 --- 104 | cost [300.0]
104 --- 105 | cost [300.0]
105 --- 106 | cost [1083.0]
106 --- 107 | cost [1200.0]
108 --- 109 | cost [672.0]
109 --- 110 | cost [600.0]
110 --- 111 | cost [600.0]
111 --- 112 | cost [600.0]
112 --- 113 | cost [600.0]
113 --- 114 | cost [1800.0]
114 --- 115 | cost [600.0]
115 --- 116 | cost [600.0]
116 --- 117 | cost [600.0]
117 --- 118 | cost [600.0]
118 --- 119 | cost [1800.0]
119 --- 120 | cost [600.0]
120 --- 121 | cost [600.0]
121 --- 122 | cost [600.0]
122 --- 123 | cost [600.0]
123 --- 130 | cost [2163.0]
124 --- 129 | cost [672.0]
124 --- 130 | cost [900.0]
125 --- 126 | cost [1920.0]
125 --- 129 | cost [2682.0]
126 --- 127 | cost [1500.0]
127 --- 128 | cost [1083.0]
128 --- 131 | cost [900.0]
131 --- 132 | cost [1083.0]
132 --- 134 | cost [672.0]
133 --- 134 | cost [300.0]
133 --- 135 | cost [948.0]
135 --- 136 | cost [300.0]
136 --- 137 | cost [1083.0]
137 --- 138 | cost [900.0]
138 --- 140 | cost [1236.0]
139 --- 140 | cost [600.0]
139 --- 141 | cost [600.0]
141 --- 142 | cost [849.0]
142 --- 143 | cost [849.0]
143 --- 144 | cost [300.0]
144 --- 145 | cost [300.0]
145 --- 146 | cost [672.0]
146 --- 147 | cost [300.0]
147 --- 148 | cost [300.0]
148 --- 149 | cost [423.0]
149 --- 150 | cost [672.0]
150 --- 151 | cost [672.0]
151 --- 154 | cost [600.0]
152 --- 153 | cost [300.0]
154 --- 155 | cost [300.0]
155 --- 156 | cost [948.0]
156 --- 157 | cost [300.0]
157 --- 158 | cost [672.0]
158 --- 159 | cost [2163.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1

       
——————— Thu, 25 Jan 2024 02:23:21 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 160 hubs —— 1-159-158-157-156-155-154-151-150-148-149-147-146-145-144-143-142-141-139-140-138-137-136-135-133-134-132-131-128-127-126-125-129-124-130-123-122-121-120-119-118-117-116-115-114-113-112-111-110-109-108-93-92-91-90-89-94-88-87-96-95-107-106-105-104-103-102-101-100-99-98-97-86-85-84-83-82-81-80-79-78-77-76-75-74-73-72-71-70-69-68-67-66-65-64-63-62-61-60-59-58-57-56-55-54-53-52-51-50-49-48-47-46-45-44-43-42-41-40-39-38-36-37-35-34-33-32-31-30-29-28-27-26-25-24-23-22-21-20-19-18-17-16-15-14-13-11-12-10-9-8-7-152-153-6-5-4-2-3-160-1
total time           818.86               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             126240<=126240       Master/SP costs      126240/0             
Master time          818.86               SP time              0.0                  
subtour              9414.0               connectivity cuts    1674.0               
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       1676                 
F                    0.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—159—158—157—156—155—154—151—150—148—149—147—146—145—144—143—142—141—139—140—138—137—136—135—133—134—132—131—128—127—126—125—129—124—130—123—122—121—120—119—118—117—116—115—114—113—112—111—110—109—108—93—92—91—90—89—94—88—87—96—95—107—106—105—104—103—102—101—100—99—98—97—86—85—84—83—82—81—80—79—78—77—76—75—74—73—72—71—70—69—68—67—66—65—64—63—62—61—60—59—58—57—56—55—54—53—52—51—50—49—48—47—46—45—44—43—42—41—40—39—38—36—37—35—34—33—32—31—30—29—28—27—26—25—24—23—22—21—20—19—18—17—16—15—14—13—11—12—10—9—8—7—152—153—6—5—4—2—3—160

RING
1  --- 159 | cost [849.0]
2  ---  3 | cost [600.0]
2  ---  4 | cost [600.0]
3  --- 160 | cost [2100.0]
4  ---  5 | cost [600.0]
5  ---  6 | cost [849.0]
6  --- 153 | cost [600.0]
7  ---  8 | cost [600.0]
7  --- 152 | cost [300.0]
8  ---  9 | cost [300.0]
9  --- 10 | cost [300.0]
10 --- 12 | cost [849.0]
11 --- 12 | cost [600.0]
11 --- 13 | cost [600.0]
13 --- 14 | cost [600.0]
14 --- 15 | cost [300.0]
15 --- 16 | cost [672.0]
16 --- 17 | cost [672.0]
17 --- 18 | cost [1749.0]
18 --- 19 | cost [672.0]
19 --- 20 | cost [423.0]
20 --- 21 | cost [300.0]
21 --- 22 | cost [849.0]
22 --- 23 | cost [300.0]
23 --- 24 | cost [849.0]
24 --- 25 | cost [849.0]
25 --- 26 | cost [1341.0]
26 --- 27 | cost [672.0]
27 --- 28 | cost [1083.0]
28 --- 29 | cost [2121.0]
29 --- 30 | cost [1341.0]
30 --- 31 | cost [1698.0]
31 --- 32 | cost [1083.0]
32 --- 33 | cost [1824.0]
33 --- 34 | cost [900.0]
34 --- 35 | cost [300.0]
35 --- 37 | cost [900.0]
36 --- 37 | cost [300.0]
36 --- 38 | cost [672.0]
38 --- 39 | cost [948.0]
39 --- 40 | cost [300.0]
40 --- 41 | cost [948.0]
41 --- 42 | cost [849.0]
42 --- 43 | cost [849.0]
43 --- 44 | cost [849.0]
44 --- 45 | cost [849.0]
45 --- 46 | cost [600.0]
46 --- 47 | cost [600.0]
47 --- 48 | cost [600.0]
48 --- 49 | cost [1236.0]
49 --- 50 | cost [900.0]
50 --- 51 | cost [600.0]
51 --- 52 | cost [1236.0]
52 --- 53 | cost [1500.0]
53 --- 54 | cost [672.0]
54 --- 55 | cost [2121.0]
55 --- 56 | cost [900.0]
56 --- 57 | cost [900.0]
57 --- 58 | cost [423.0]
58 --- 59 | cost [1200.0]
59 --- 60 | cost [1500.0]
60 --- 61 | cost [900.0]
61 --- 62 | cost [900.0]
62 --- 63 | cost [900.0]
63 --- 64 | cost [1500.0]
64 --- 65 | cost [300.0]
65 --- 66 | cost [300.0]
66 --- 67 | cost [300.0]
67 --- 68 | cost [300.0]
68 --- 69 | cost [300.0]
69 --- 70 | cost [300.0]
70 --- 71 | cost [300.0]
71 --- 72 | cost [300.0]
72 --- 73 | cost [948.0]
73 --- 74 | cost [1200.0]
74 --- 75 | cost [948.0]
75 --- 76 | cost [900.0]
76 --- 77 | cost [948.0]
77 --- 78 | cost [1341.0]
78 --- 79 | cost [300.0]
79 --- 80 | cost [300.0]
80 --- 81 | cost [300.0]
81 --- 82 | cost [300.0]
82 --- 83 | cost [300.0]
83 --- 84 | cost [300.0]
84 --- 85 | cost [300.0]
85 --- 86 | cost [300.0]
86 --- 97 | cost [900.0]
87 --- 88 | cost [600.0]
87 --- 96 | cost [672.0]
88 --- 94 | cost [900.0]
89 --- 90 | cost [600.0]
89 --- 94 | cost [672.0]
90 --- 91 | cost [600.0]
91 --- 92 | cost [1236.0]
92 --- 93 | cost [600.0]
93 --- 108 | cost [2163.0]
95 --- 96 | cost [423.0]
95 --- 107 | cost [2475.0]
97 --- 98 | cost [300.0]
98 --- 99 | cost [300.0]
99 --- 100 | cost [300.0]
100 --- 101 | cost [300.0]
101 --- 102 | cost [300.0]
102 --- 103 | cost [300.0]
103 --- 104 | cost [300.0]
104 --- 105 | cost [300.0]
105 --- 106 | cost [1083.0]
106 --- 107 | cost [1200.0]
108 --- 109 | cost [672.0]
109 --- 110 | cost [600.0]
110 --- 111 | cost [600.0]
111 --- 112 | cost [600.0]
112 --- 113 | cost [600.0]
113 --- 114 | cost [1800.0]
114 --- 115 | cost [600.0]
115 --- 116 | cost [600.0]
116 --- 117 | cost [600.0]
117 --- 118 | cost [600.0]
118 --- 119 | cost [1800.0]
119 --- 120 | cost [600.0]
120 --- 121 | cost [600.0]
121 --- 122 | cost [600.0]
122 --- 123 | cost [600.0]
123 --- 130 | cost [2163.0]
124 --- 129 | cost [672.0]
124 --- 130 | cost [900.0]
125 --- 126 | cost [1920.0]
125 --- 129 | cost [2682.0]
126 --- 127 | cost [1500.0]
127 --- 128 | cost [1083.0]
128 --- 131 | cost [900.0]
131 --- 132 | cost [1083.0]
132 --- 134 | cost [672.0]
133 --- 134 | cost [300.0]
133 --- 135 | cost [948.0]
135 --- 136 | cost [300.0]
136 --- 137 | cost [1083.0]
137 --- 138 | cost [900.0]
138 --- 140 | cost [1236.0]
139 --- 140 | cost [600.0]
139 --- 141 | cost [600.0]
141 --- 142 | cost [849.0]
142 --- 143 | cost [849.0]
143 --- 144 | cost [300.0]
144 --- 145 | cost [300.0]
145 --- 146 | cost [672.0]
146 --- 147 | cost [300.0]
147 --- 149 | cost [300.0]
148 --- 149 | cost [423.0]
148 --- 150 | cost [672.0]
150 --- 151 | cost [672.0]
151 --- 154 | cost [600.0]
152 --- 153 | cost [300.0]
154 --- 155 | cost [300.0]
155 --- 156 | cost [948.0]
156 --- 157 | cost [300.0]
157 --- 158 | cost [672.0]
158 --- 159 | cost [2163.0]

STAR

BACKUP RING

BACKUP STAR

B = 0.0
i★ = 1
j★ = 1
k★ = 1