Instance la20



Basic information


Name la20
Number of jobs 10
Number of machines 10
Optimal value 902
Lower bound reference Applegate and Cook [4]
Upper bound reference Applegate and Cook [4]
From set Lawrence
Reference Lawrence [32]




References


[4] D. Applegate and W. Cook. A computational study of job-shop scheduling.
ORSA Journal of Computing, 3.2: 149-156, 1991.
doi: 10.1287/ijoc.3.2.149
[32] S. Lawrence. Resource Constrained Project Scheduling. An Experimental Investigation of Heuristic Scheduling Techniques (Supplement).
Carnegie-Mellon University, 1984.




Solutions


Found 14016 different optimal solutions, which proved to be all optimal solutions. download Download the operation order of these solutions as text file (See Solutions file) or the same file Zipped download.

Go to the first solution page, jump directly to page number: or go to the overview of all solution pages





Instance specification


Standard specification

Specification according to the standard specification
10 10
6 9 1 81 4 55 2 40 8 32 3 37 0 6 5 19 9 81 7 40
7 21 2 70 9 65 4 64 1 46 5 65 8 25 0 77 3 55 6 15
2 85 5 37 0 40 3 24 1 44 6 83 4 89 8 31 7 84 9 29
4 80 6 77 7 56 0 8 2 30 5 59 3 38 1 80 9 41 8 97
0 91 6 40 4 88 1 17 2 71 3 50 9 59 8 80 5 56 7 7
2 8 6 9 3 58 5 77 1 29 8 96 0 45 9 10 4 54 7 36
4 70 3 92 1 98 5 87 6 99 7 27 8 86 9 96 0 28 2 73
1 95 7 92 3 85 4 52 6 81 9 32 8 39 0 59 2 41 5 56
3 60 8 45 0 88 2 12 1 7 5 22 4 93 9 49 7 69 6 27
0 21 2 61 3 68 5 26 6 82 9 71 8 44 4 99 7 33 1 84
download Download as text file.

Taillard specification

Specification according to the Taillard specification
10 10
9 81 55 40 32 37 6 19 81 40
21 70 65 64 46 65 25 77 55 15
85 37 40 24 44 83 89 31 84 29
80 77 56 8 30 59 38 80 41 97
91 40 88 17 71 50 59 80 56 7
8 9 58 77 29 96 45 10 54 36
70 92 98 87 99 27 86 96 28 73
95 92 85 52 81 32 39 59 41 56
60 45 88 12 7 22 93 49 69 27
21 61 68 26 82 71 44 99 33 84
7 2 5 3 9 4 1 6 10 8
8 3 10 5 2 6 9 1 4 7
3 6 1 4 2 7 5 9 8 10
5 7 8 1 3 6 4 2 10 9
1 7 5 2 3 4 10 9 6 8
3 7 4 6 2 9 1 10 5 8
5 4 2 6 7 8 9 10 1 3
2 8 4 5 7 10 9 1 3 6
4 9 1 3 2 6 5 10 8 7
1 3 4 6 7 10 9 5 8 2
download Download as text file.

Per operation

Specification per operation (operation numbering)

Operation nr. Job Machine Operation Time Job order
1 1 7 9 1
2 2 8 21 1
3 3 3 85 1
4 4 5 80 1
5 5 1 91 1
6 6 3 8 1
7 7 5 70 1
8 8 2 95 1
9 9 4 60 1
10 10 1 21 1
11 1 2 81 2
12 2 3 70 2
13 3 6 37 2
14 4 7 77 2
15 5 7 40 2
16 6 7 9 2
17 7 4 92 2
18 8 8 92 2
19 9 9 45 2
20 10 3 61 2
21 1 5 55 3
22 2 10 65 3
23 3 1 40 3
24 4 8 56 3
25 5 5 88 3
26 6 4 58 3
27 7 2 98 3
28 8 4 85 3
29 9 1 88 3
30 10 4 68 3
31 1 3 40 4
32 2 5 64 4
33 3 4 24 4
34 4 1 8 4
35 5 2 17 4
36 6 6 77 4
37 7 6 87 4
38 8 5 52 4
39 9 3 12 4
40 10 6 26 4
41 1 9 32 5
42 2 2 46 5
43 3 2 44 5
44 4 3 30 5
45 5 3 71 5
46 6 2 29 5
47 7 7 99 5
48 8 7 81 5
49 9 2 7 5
50 10 7 82 5
51 1 4 37 6
52 2 6 65 6
53 3 7 83 6
54 4 6 59 6
55 5 4 50 6
56 6 9 96 6
57 7 8 27 6
58 8 10 32 6
59 9 6 22 6
60 10 10 71 6
61 1 1 6 7
62 2 9 25 7
63 3 5 89 7
64 4 4 38 7
65 5 10 59 7
66 6 1 45 7
67 7 9 86 7
68 8 9 39 7
69 9 5 93 7
70 10 9 44 7
71 1 6 19 8
72 2 1 77 8
73 3 9 31 8
74 4 2 80 8
75 5 9 80 8
76 6 10 10 8
77 7 10 96 8
78 8 1 59 8
79 9 10 49 8
80 10 5 99 8
81 1 10 81 9
82 2 4 55 9
83 3 8 84 9
84 4 10 41 9
85 5 6 56 9
86 6 5 54 9
87 7 1 28 9
88 8 3 41 9
89 9 8 69 9
90 10 8 33 9
91 1 8 40 10
92 2 7 15 10
93 3 10 29 10
94 4 9 97 10
95 5 8 7 10
96 6 8 36 10
97 7 3 73 10
98 8 6 56 10
99 9 7 27 10
100 10 2 84 10