PROBLEM: 20 X 15 Instance No. 1 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 80 41 66 27 93 94 57 63 16 14 87 29 84 32 8 2 63 6 10 42 70 18 70 96 69 23 73 85 19 43 13 3 72 54 43 93 41 58 26 82 15 49 73 20 44 36 65 4 13 29 53 75 98 48 36 4 79 26 97 72 85 36 69 5 74 48 66 40 67 85 49 66 95 35 53 35 43 22 81 6 67 17 69 96 75 14 33 7 44 98 7 77 54 74 73 7 77 17 20 14 21 85 1 14 83 45 12 83 78 24 35 8 4 97 36 20 21 18 12 63 92 57 29 53 19 82 84 9 36 82 50 24 69 57 20 87 78 70 81 68 77 54 96 10 22 44 51 41 77 25 36 92 89 41 34 70 90 52 28 11 81 26 6 75 31 16 1 69 38 82 53 84 42 96 82 12 19 74 51 23 59 62 67 54 3 10 76 74 92 54 56 13 51 49 96 17 96 7 36 58 14 3 70 1 18 19 62 14 68 39 86 32 57 95 97 98 71 31 76 10 59 34 9 15 65 11 24 79 82 84 24 35 14 80 87 20 65 63 64 16 69 82 72 33 67 15 59 45 91 40 25 17 34 13 63 17 12 24 1 22 82 81 52 55 97 99 56 14 98 90 80 18 39 53 80 90 51 93 25 22 46 53 87 24 57 99 3 19 68 37 14 25 74 21 75 82 26 16 3 82 81 74 90 20 38 99 38 52 2 59 34 10 72 43 86 86 97 9 61 d1 2024 d' 1310 d'' 1739 d2 597 The optimum objective value at d = d1 is:4016 Objective value of heuristic solution at d = d1 is:4016 Objective value of heuristic solution at d = d' is:5994 Objective value of heuristic solution at d = d'' is:4044 Instance No. 2 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 77 72 72 84 53 32 17 17 90 2 53 42 38 50 34 2 90 12 73 10 1 38 60 91 42 95 65 30 71 43 4 3 59 92 24 62 60 44 31 40 99 26 26 28 52 63 98 4 43 68 57 48 22 56 26 66 57 18 80 48 22 92 87 5 86 76 90 75 28 15 86 87 36 48 43 17 62 79 81 6 35 26 84 16 18 8 79 55 18 82 2 49 35 46 58 7 44 5 52 82 10 65 73 81 64 17 83 61 32 5 49 8 47 12 40 36 78 99 87 46 30 42 72 39 92 19 49 9 13 6 71 31 60 56 30 74 33 88 15 45 37 18 21 10 33 25 75 10 63 56 17 97 45 39 33 21 23 53 36 11 98 49 76 3 38 1 95 86 29 14 86 64 26 16 43 12 71 49 85 4 39 18 70 65 14 15 56 95 28 22 56 13 35 87 5 74 28 81 22 75 49 84 39 72 71 45 86 14 51 84 31 82 38 93 1 97 1 11 45 2 75 57 65 15 74 12 79 30 48 91 55 70 57 20 64 55 21 2 25 16 69 67 13 4 12 93 52 65 90 61 76 25 45 79 89 17 51 18 29 20 83 51 69 20 17 84 72 27 71 45 41 18 36 8 40 35 21 57 96 68 85 23 93 51 11 64 41 19 85 51 41 36 92 28 50 57 84 34 60 72 68 91 36 20 56 97 5 38 82 74 34 15 49 99 77 93 27 55 1 d1 1846 d' 1222 d'' 1111 d2 598 The optimum objective value at d = d1 is:3462 Objective value of heuristic solution at d = d1 is:3462 Objective value of heuristic solution at d = d' is:6089 Objective value of heuristic solution at d = d'' is:7360 Instance No. 3 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 13 35 82 25 99 59 79 9 84 39 3 3 52 46 23 2 81 19 91 24 17 57 83 9 40 73 16 58 12 93 69 3 70 48 1 95 57 70 17 45 13 75 78 13 15 66 17 4 51 7 9 84 19 82 34 86 30 64 35 87 67 30 42 5 35 95 9 60 90 88 85 30 72 74 11 70 39 97 75 6 50 23 10 9 80 71 44 64 28 36 52 91 35 67 82 7 31 16 41 1 68 42 75 69 41 2 83 99 4 48 38 8 70 59 94 12 44 52 1 47 12 20 55 9 92 48 14 9 17 88 70 91 11 58 36 50 37 79 64 16 96 37 20 10 43 17 17 17 97 83 43 19 69 15 28 70 10 57 84 11 39 20 5 22 20 84 66 28 95 53 42 77 15 60 9 12 82 78 96 91 85 98 35 63 74 97 83 49 71 27 42 13 69 22 42 27 22 38 81 77 11 60 38 20 25 13 84 14 8 55 94 17 44 21 38 31 43 70 97 62 95 97 46 15 89 18 35 16 23 53 3 76 1 27 84 79 48 64 61 16 5 21 5 99 21 54 74 80 7 80 5 7 11 98 85 17 79 1 10 34 54 40 77 49 23 4 35 90 18 23 67 18 64 50 36 89 93 56 84 99 61 88 8 2 61 83 76 19 53 53 97 92 93 62 26 96 97 55 84 15 6 65 69 20 74 20 52 91 96 6 49 16 10 26 48 13 41 61 77 d1 1852 d' 1228 d'' 1424 d2 604 The optimum objective value at d = d1 is:3932 Objective value of heuristic solution at d = d1 is:3932 Objective value of heuristic solution at d = d' is:5545 Objective value of heuristic solution at d = d'' is:4575 Instance No. 4 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 51 52 26 48 50 76 13 57 97 89 30 84 98 97 51 2 35 84 52 41 94 60 1 6 25 2 27 49 43 17 50 3 68 98 8 25 1 16 9 15 35 90 68 24 50 3 45 4 48 10 84 25 21 63 98 44 28 82 53 19 24 49 61 5 4 43 63 98 62 61 48 94 6 86 74 67 20 32 62 6 57 78 42 49 9 26 93 56 46 26 36 10 63 40 67 7 14 9 48 17 1 19 30 71 83 91 32 43 76 13 38 8 6 87 82 57 17 9 60 10 93 90 34 15 82 61 42 9 19 24 23 94 43 25 8 94 56 69 95 84 32 99 65 10 83 62 55 91 22 28 2 98 49 89 86 53 74 76 91 11 23 77 28 23 36 58 45 13 72 22 26 27 65 95 81 12 59 12 45 1 47 61 8 85 50 96 47 95 72 7 67 13 95 22 34 44 69 20 36 19 7 72 18 55 44 60 20 14 17 48 53 42 91 81 67 10 8 27 55 93 78 67 39 15 9 94 65 50 8 72 21 36 62 42 64 92 58 56 80 16 41 76 43 69 92 2 93 39 28 1 57 83 36 96 98 17 99 57 65 8 26 96 88 79 79 41 5 83 50 89 87 18 28 81 33 27 97 10 43 71 41 9 38 99 43 82 76 19 33 57 83 2 59 9 9 66 93 13 94 11 43 95 92 20 51 68 87 63 57 41 54 21 65 43 73 63 48 17 87 d1 1726 d' 1140 d'' 868 d2 555 The optimum objective value at d = d1 is:5280 Objective value of heuristic solution at d = d1 is:5288 Objective value of heuristic solution at d = d' is:7547 Objective value of heuristic solution at d = d'' is:11771 Instance No. 5 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 23 85 66 46 94 41 54 97 36 59 93 66 63 40 68 2 88 50 75 65 64 36 94 65 88 11 71 17 55 65 67 3 55 68 58 53 2 44 79 55 24 63 19 13 99 21 47 4 89 32 55 72 57 9 83 50 33 54 28 14 44 50 62 5 98 74 73 41 80 66 64 19 22 99 19 20 93 7 28 6 11 15 56 56 44 4 11 15 6 56 94 85 12 21 78 7 15 37 3 63 99 92 92 93 36 74 75 98 29 53 97 8 68 45 76 60 43 2 24 72 47 62 72 11 41 88 59 9 72 26 85 26 43 22 65 53 31 42 70 80 96 1 3 10 87 43 58 93 22 75 70 33 20 43 11 17 37 57 71 11 39 62 93 4 95 3 28 51 10 26 86 82 38 68 31 12 90 52 5 51 55 73 84 17 18 33 64 91 23 48 19 13 38 2 22 17 83 97 59 33 71 96 90 54 42 67 2 14 86 16 3 10 47 26 15 10 52 37 41 77 20 98 43 15 94 80 13 35 33 40 71 66 45 75 50 94 5 30 59 16 74 64 14 96 24 15 3 49 75 44 22 9 82 51 57 17 88 67 27 22 40 60 38 37 43 12 52 88 14 24 11 18 12 60 77 15 32 94 68 41 55 27 53 91 94 73 3 19 34 23 33 23 62 80 81 19 47 15 87 54 81 91 20 20 35 8 20 17 68 17 87 78 55 54 44 93 98 78 79 d1 1813 d' 1188 d'' 1736 d2 564 The optimum objective value at d = d1 is:2908 Objective value of heuristic solution at d = d1 is:2910 Objective value of heuristic solution at d = d' is:6785 Objective value of heuristic solution at d = d'' is:2989 Instance No. 6 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 57 19 95 97 64 35 33 32 91 77 52 57 47 15 8 2 90 86 2 83 60 92 17 93 45 16 27 36 58 28 48 3 49 27 70 62 31 11 35 76 13 44 21 19 34 9 25 4 70 84 10 39 17 58 41 51 32 9 91 26 35 34 24 5 98 56 79 34 31 38 38 90 37 7 77 63 66 2 52 6 66 62 37 25 2 1 25 4 50 92 48 37 31 92 1 7 97 86 75 38 44 56 67 8 73 5 22 72 14 16 57 8 16 47 81 16 43 89 5 41 24 2 69 4 96 87 82 9 31 17 32 84 5 49 50 45 36 19 81 22 81 12 96 10 83 80 49 24 44 41 43 11 59 66 69 43 53 39 8 11 18 62 38 85 41 51 33 5 60 33 67 33 92 99 49 12 61 30 65 35 1 60 43 49 74 68 79 46 44 53 16 13 46 84 3 51 48 29 82 62 36 53 16 15 23 83 97 14 94 36 34 98 89 96 9 85 91 72 78 35 34 92 23 15 51 42 25 79 52 19 69 16 52 66 93 31 36 11 63 16 35 63 83 90 45 12 51 31 65 4 59 24 99 30 59 17 66 11 69 60 84 78 13 20 63 32 53 81 9 45 85 18 57 54 27 68 19 11 35 63 63 84 31 56 20 67 41 19 57 95 89 35 41 49 28 66 78 77 9 57 71 34 77 20 88 68 80 73 3 5 32 89 3 70 22 35 19 36 50 d1 1841 d' 1183 d'' 1774 d2 526 The optimum objective value at d = d1 is:3139 Objective value of heuristic solution at d = d1 is:3139 Objective value of heuristic solution at d = d' is:5835 Objective value of heuristic solution at d = d'' is:3139 Instance No. 7 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 46 41 85 23 96 97 38 11 8 69 86 46 95 17 7 2 3 74 60 15 10 22 1 32 90 11 55 4 12 44 52 3 90 55 71 9 23 11 55 28 75 15 8 66 63 81 5 4 1 98 91 16 18 23 75 83 59 91 70 77 1 85 8 5 82 83 33 54 78 80 32 35 3 2 75 69 98 91 98 6 26 48 32 20 84 27 12 58 44 8 72 38 54 45 31 7 20 26 73 39 39 67 72 83 79 52 66 72 31 91 12 8 17 39 51 19 32 23 56 55 51 62 57 60 15 39 13 9 59 51 23 50 10 96 67 99 86 10 10 80 1 52 5 10 56 4 93 45 15 78 40 6 18 69 3 23 30 43 1 11 73 96 70 43 85 71 79 87 56 13 46 6 4 54 83 12 50 37 53 93 55 37 85 96 12 86 55 53 7 24 25 13 88 13 31 96 63 75 96 98 22 6 66 40 52 60 41 14 55 9 6 15 49 17 7 18 12 61 65 73 79 11 74 15 80 66 50 47 7 54 43 14 28 41 31 43 79 6 21 16 78 79 1 26 89 79 28 13 50 8 46 81 49 57 21 17 54 85 93 64 35 97 72 55 21 76 30 6 25 69 88 18 93 67 4 15 84 24 23 89 21 95 73 85 12 10 81 19 88 92 52 12 26 57 54 36 32 85 12 96 12 5 56 20 6 24 29 12 73 95 38 48 40 65 92 41 53 10 40 d1 1956 d' 1220 d'' 1321 d2 485 The optimum objective value at d = d1 is:2056 Objective value of heuristic solution at d = d1 is:2056 Objective value of heuristic solution at d = d' is:4411 Objective value of heuristic solution at d = d'' is:3738 Instance No. 8 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 18 20 88 90 19 10 21 14 83 70 38 92 42 89 86 2 74 50 55 4 33 33 3 69 64 69 5 61 92 17 83 3 34 22 49 16 73 5 69 15 69 31 73 73 8 41 62 4 36 78 76 96 87 79 60 93 57 84 97 39 75 45 5 5 6 45 52 96 65 84 1 28 51 96 74 59 17 53 72 6 9 13 79 71 65 86 47 12 78 28 77 96 19 9 21 7 68 87 19 35 99 15 91 87 89 27 66 96 26 23 93 8 14 81 78 56 20 43 57 37 84 19 27 18 97 50 92 9 14 38 24 31 78 33 94 60 59 28 35 23 51 23 29 10 11 28 43 9 51 79 21 59 28 55 49 94 5 22 82 11 97 28 31 99 31 73 74 99 64 3 54 36 48 69 64 12 36 78 56 69 32 14 76 68 94 86 8 25 99 5 59 13 94 95 56 73 98 75 82 59 92 32 71 62 40 19 65 14 45 90 34 69 42 69 6 17 23 4 32 74 26 33 98 15 91 41 71 71 82 74 8 50 98 91 87 23 27 63 9 16 59 45 91 54 33 99 66 6 67 53 24 85 91 25 67 17 32 60 1 45 48 50 13 56 57 85 46 42 16 10 69 18 39 11 56 50 9 88 35 8 31 60 80 70 27 34 24 19 95 94 41 7 42 80 18 93 69 48 89 41 46 44 65 20 59 75 8 72 53 59 57 2 72 38 20 94 3 68 54 d1 1931 d' 1275 d'' 1446 d2 620 The optimum objective value at d = d1 is:4470 Objective value of heuristic solution at d = d1 is:4470 Objective value of heuristic solution at d = d' is:6327 Objective value of heuristic solution at d = d'' is:5337 Instance No. 9 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 95 62 88 37 56 2 70 65 4 79 36 48 77 55 30 2 77 7 58 22 61 76 24 66 70 99 33 53 70 85 79 3 52 90 90 13 41 63 90 14 87 53 17 85 12 77 35 4 90 32 72 6 67 25 18 89 28 43 72 98 24 15 39 5 79 51 16 27 19 63 66 78 94 87 74 85 17 94 52 6 7 77 42 57 60 55 46 70 40 1 74 63 93 78 96 7 13 20 1 78 31 68 18 25 29 14 89 16 45 12 78 8 47 49 80 43 97 35 31 37 42 66 32 16 48 88 94 9 48 53 65 73 85 70 72 82 73 59 28 62 14 63 21 10 15 34 98 69 59 16 6 84 48 60 54 28 93 61 96 11 36 52 70 85 27 2 82 91 64 14 51 98 73 39 19 12 25 52 93 7 77 87 54 27 97 13 2 95 87 58 68 13 90 90 10 45 77 64 40 24 2 90 81 6 91 71 61 14 78 86 36 58 59 40 35 93 6 45 42 25 9 63 62 15 58 90 73 32 45 24 82 68 57 46 66 58 48 19 48 16 20 34 92 67 59 70 79 95 7 32 99 36 13 32 40 17 58 55 44 44 16 48 73 24 42 45 94 68 99 89 61 18 40 87 74 46 7 13 76 24 4 4 46 30 17 97 97 19 10 45 15 2 71 89 49 29 87 79 47 19 22 53 57 20 3 72 3 29 54 6 96 35 42 49 11 30 42 44 58 d1 1920 d' 1228 d'' 749 d2 537 The optimum objective value at d = d1 is:4574 Objective value of heuristic solution at d = d1 is:4574 Objective value of heuristic solution at d = d' is:6591 Objective value of heuristic solution at d = d'' is:13494 Instance No. 10 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 44 37 63 98 76 46 46 32 58 68 84 45 91 1 17 2 42 81 55 92 17 87 72 40 20 65 9 52 3 95 44 3 3 96 29 12 62 73 31 52 41 61 91 47 36 37 19 4 24 94 23 83 3 77 40 49 14 47 8 51 37 4 16 5 93 90 96 77 38 9 55 82 92 47 58 71 89 40 48 6 24 26 45 18 1 1 66 92 29 9 7 33 35 25 64 7 75 70 49 15 33 75 46 97 70 1 69 77 66 2 76 8 73 57 85 41 75 17 12 39 40 24 42 82 44 62 62 9 57 12 92 78 80 6 88 63 75 67 41 78 76 26 84 10 55 53 88 85 64 50 90 63 2 19 59 56 36 52 70 11 58 35 95 33 28 99 89 76 92 19 4 96 76 25 26 12 49 37 21 65 85 46 91 91 4 22 17 59 50 81 17 13 12 70 57 64 44 97 99 2 58 6 17 67 21 78 5 14 98 71 98 96 42 97 86 71 54 47 65 39 69 84 3 15 89 74 35 13 86 29 98 21 28 78 39 25 23 88 60 16 21 38 57 57 78 89 66 79 27 37 35 44 77 15 36 17 2 81 30 28 78 43 97 90 44 78 34 41 39 64 8 18 21 92 27 10 30 94 92 69 66 87 93 5 85 9 85 19 9 76 50 45 98 85 59 81 40 29 11 48 28 83 97 20 96 13 40 43 30 58 68 29 73 93 5 80 83 79 58 d1 2024 d' 1249 d'' 683 d2 475 The optimum objective value at d = d1 is:2806 Objective value of heuristic solution at d = d1 is:2806 Objective value of heuristic solution at d = d' is:6851 Objective value of heuristic solution at d = d'' is:15860 Instance No. 11 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 38 9 5 49 23 92 12 80 10 24 79 87 66 99 37 2 24 40 93 93 89 25 3 29 28 99 72 1 22 6 73 3 79 71 16 50 24 82 28 47 73 56 20 46 54 6 56 4 39 2 48 94 32 80 61 74 85 59 37 88 99 99 11 5 84 34 37 67 59 42 13 94 80 85 38 45 99 58 44 6 41 55 43 62 84 1 23 94 88 45 35 49 90 81 69 7 33 66 88 19 74 46 95 61 15 84 59 82 32 47 79 8 39 79 96 15 3 40 9 18 41 51 67 49 49 84 95 9 17 33 66 1 79 63 67 11 64 3 76 46 59 45 91 10 5 54 37 78 86 99 6 86 53 1 1 87 39 12 78 11 85 97 12 9 13 31 73 3 88 34 26 59 37 17 40 12 3 31 88 51 67 61 11 73 17 32 36 54 92 67 32 13 94 8 76 69 50 87 42 6 88 74 65 86 11 25 89 14 33 69 21 64 46 94 72 79 84 77 21 43 58 25 16 15 31 97 99 60 61 73 26 92 50 70 61 67 86 22 66 16 38 93 33 54 16 11 35 42 17 64 11 77 10 89 15 17 50 55 19 13 97 99 89 59 51 40 37 67 49 35 60 18 31 63 21 67 44 34 68 11 27 80 43 80 48 63 73 19 37 33 99 30 24 1 38 86 7 8 31 12 87 71 76 20 67 31 89 83 68 96 61 27 42 17 55 88 88 96 62 d1 1861 d' 1233 d'' 1697 d2 605 The optimum objective value at d = d1 is:4374 Objective value of heuristic solution at d = d1 is:4374 Objective value of heuristic solution at d = d' is:7257 Objective value of heuristic solution at d = d'' is:4480 Instance No. 12 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 4 53 43 9 26 80 78 59 93 99 73 38 99 48 72 2 42 69 75 64 87 92 59 66 12 34 80 56 22 98 21 3 60 28 13 9 57 74 88 24 5 25 62 15 20 80 4 4 3 60 30 36 98 67 89 76 3 76 40 34 52 51 91 5 54 54 68 37 59 19 19 44 70 82 39 57 28 88 25 6 70 90 10 58 41 22 69 48 29 6 73 45 72 97 56 7 69 80 34 43 24 58 91 91 78 32 69 21 95 76 97 8 42 47 96 4 94 62 54 95 22 74 21 25 14 2 27 9 27 65 39 13 18 96 33 12 27 29 43 13 55 47 60 10 15 53 7 32 52 21 58 96 30 43 15 95 31 6 61 11 59 80 51 4 27 9 48 17 83 89 41 65 51 74 5 12 58 65 79 59 26 94 9 40 67 47 14 35 86 10 90 13 84 94 44 39 3 48 4 73 55 57 87 28 72 27 26 14 50 56 62 96 1 60 44 95 70 75 85 8 64 24 60 15 75 62 26 3 13 93 25 48 54 2 4 83 59 65 50 16 13 69 92 61 7 70 62 49 89 9 33 19 37 89 55 17 79 25 1 55 83 45 13 62 75 37 86 69 35 93 90 18 82 47 81 66 52 88 28 35 6 51 61 71 19 68 80 19 62 73 18 16 34 48 65 75 68 66 88 26 10 18 43 20 28 43 67 57 72 47 19 21 75 17 51 83 40 50 96 d1 1815 d' 1189 d'' 927 d2 564 The optimum objective value at d = d1 is:3869 Objective value of heuristic solution at d = d1 is:3876 Objective value of heuristic solution at d = d' is:6685 Objective value of heuristic solution at d = d'' is:9828 Instance No. 13 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 48 87 7 71 98 44 26 76 47 54 4 14 10 80 42 2 9 14 31 99 77 32 69 72 32 75 66 46 18 90 23 3 89 28 14 63 74 17 30 76 34 14 13 62 57 94 16 4 49 49 43 42 85 38 22 59 73 59 59 92 9 24 27 5 95 99 13 41 90 52 52 85 26 59 65 87 15 40 10 6 10 98 73 17 74 37 93 63 27 89 15 73 72 23 65 7 44 50 75 49 25 99 43 55 7 40 51 70 26 11 1 8 29 96 47 69 44 19 37 2 62 52 49 38 91 66 52 9 10 31 20 20 15 18 4 40 80 14 52 4 72 55 1 10 92 1 75 40 77 81 6 70 56 14 30 55 35 7 61 11 39 15 26 27 98 66 53 56 99 36 95 71 29 67 38 12 31 31 7 38 20 83 57 59 90 70 16 94 93 16 52 13 47 40 44 18 80 75 6 18 70 62 94 37 21 94 25 14 47 80 85 97 36 61 20 55 77 91 74 81 9 18 91 15 48 39 30 74 1 35 9 72 13 83 51 21 41 83 22 16 38 5 14 79 41 14 85 97 61 9 11 70 18 46 67 17 33 5 86 11 74 96 37 73 87 43 66 7 57 23 76 18 22 94 40 83 64 12 90 71 24 15 35 44 63 27 38 19 71 99 26 41 84 15 83 61 45 16 10 74 95 77 2 20 94 27 37 73 67 7 90 9 96 34 79 45 27 59 13 d1 1993 d' 1214 d'' 1749 d2 436 The optimum objective value at d = d1 is:2127 Objective value of heuristic solution at d = d1 is:2127 Objective value of heuristic solution at d = d' is:4927 Objective value of heuristic solution at d = d'' is:2170 Instance No. 14 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 76 28 71 33 91 11 79 21 81 95 57 18 10 96 5 2 1 63 28 81 56 98 37 67 25 94 72 54 8 93 4 3 5 41 64 21 53 57 85 80 96 94 63 9 18 69 69 4 23 83 2 61 25 37 33 56 9 36 64 50 80 35 26 5 98 24 87 32 49 75 92 28 36 77 80 27 20 32 61 6 4 11 17 59 8 5 28 58 78 6 17 76 89 5 81 7 93 53 61 17 83 82 86 8 65 13 66 43 54 20 10 8 75 78 3 20 87 61 76 54 32 46 63 70 49 66 54 9 7 20 70 65 14 83 66 12 52 29 32 15 39 20 44 10 52 5 46 60 54 6 41 38 28 87 33 90 52 69 99 11 74 56 37 80 51 4 34 76 57 71 33 42 65 82 21 12 38 26 45 13 72 19 79 67 97 32 64 34 85 63 79 13 32 36 94 58 99 73 74 38 23 15 78 2 48 81 86 14 61 71 30 55 68 56 66 7 20 39 61 78 80 78 30 15 95 53 43 92 32 94 84 95 59 67 96 89 44 16 52 16 72 47 73 93 4 55 5 84 50 37 82 52 65 68 79 17 89 43 64 47 81 12 4 65 35 89 24 56 62 65 1 18 62 22 70 57 10 14 13 99 40 53 89 95 11 20 90 19 19 61 69 43 40 27 78 15 90 50 77 86 36 94 42 20 92 85 10 83 93 56 55 49 88 70 82 94 5 42 85 d1 1868 d' 1205 d'' 959 d2 542 The optimum objective value at d = d1 is:3279 Objective value of heuristic solution at d = d1 is:3279 Objective value of heuristic solution at d = d' is:6562 Objective value of heuristic solution at d = d'' is:9142 Instance No. 15 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 25 50 44 39 47 70 26 71 59 69 36 61 64 53 58 2 63 11 70 71 94 90 69 35 66 69 17 30 95 70 1 3 8 56 22 14 16 82 72 41 83 29 75 39 13 99 65 4 85 14 23 2 65 64 9 71 84 18 93 23 26 31 87 5 54 31 75 40 61 22 64 87 73 49 88 69 6 30 82 6 97 50 49 75 94 5 65 82 47 77 81 81 53 94 91 7 8 53 11 79 86 70 7 69 83 87 64 74 26 71 60 8 44 89 37 41 13 42 73 37 96 46 77 64 61 74 51 9 95 5 85 85 15 43 35 70 38 9 14 8 63 52 32 10 29 85 2 99 17 20 78 43 7 13 49 26 93 72 28 11 72 99 45 78 50 66 62 19 28 16 4 36 41 95 22 12 94 93 90 33 29 39 67 3 24 95 59 7 36 49 80 13 16 42 23 6 78 67 68 31 38 35 95 68 71 78 53 14 76 19 94 17 89 19 58 24 47 57 57 23 73 72 98 15 94 88 90 80 9 67 70 17 69 19 74 96 16 39 21 16 10 78 77 38 36 34 63 50 86 27 52 42 97 11 96 17 51 61 19 60 99 52 32 58 43 97 42 39 78 54 84 18 94 73 60 30 5 81 75 62 2 43 27 71 21 10 16 19 38 59 26 22 33 57 37 85 36 15 6 17 34 55 58 20 2 48 44 1 81 21 88 95 59 92 36 96 27 42 15 d1 1967 d' 1272 d'' 680 d2 578 The optimum objective value at d = d1 is:3772 Objective value of heuristic solution at d = d1 is:3772 Objective value of heuristic solution at d = d' is:5810 Objective value of heuristic solution at d = d'' is:14646 Instance No. 16 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 47 23 29 92 25 14 45 98 27 93 26 17 30 24 60 2 87 67 43 51 91 74 93 67 1 91 37 97 30 9 43 3 91 86 10 22 79 1 10 95 71 35 5 92 10 7 28 4 21 95 67 56 39 67 19 98 23 60 13 7 13 25 18 5 36 4 55 58 21 24 21 18 32 66 71 75 94 53 8 6 75 68 77 31 24 90 18 84 26 56 83 54 63 59 76 7 91 63 5 63 29 97 56 98 53 52 18 36 32 48 50 8 35 73 67 77 59 43 54 48 42 44 41 51 95 91 26 9 64 19 79 15 54 40 63 5 57 40 95 10 54 65 47 10 64 36 83 12 43 3 68 67 51 73 84 90 10 89 35 11 52 41 13 57 9 82 67 1 86 98 89 56 35 56 75 12 86 97 30 71 56 61 85 2 91 13 77 66 57 45 57 13 96 5 71 42 7 54 20 9 72 77 39 54 40 86 42 14 82 66 59 95 18 33 64 32 39 47 70 71 50 54 62 15 58 28 9 60 36 16 48 15 92 21 38 31 76 39 29 16 22 69 52 65 8 95 8 90 95 38 76 63 82 71 39 17 71 93 80 57 2 23 64 47 13 61 96 8 88 23 25 18 73 37 1 70 7 89 78 16 91 64 48 51 58 13 51 19 2 2 32 24 31 96 87 17 4 48 33 51 95 1 6 20 29 74 4 73 29 12 24 58 87 70 92 48 34 70 26 d1 2008 d' 1268 d'' 1467 d2 529 The optimum objective value at d = d1 is:2903 Objective value of heuristic solution at d = d1 is:2903 Objective value of heuristic solution at d = d' is:4899 Objective value of heuristic solution at d = d'' is:3624 Instance No. 17 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 76 31 10 13 64 56 87 17 96 98 33 28 42 95 66 2 20 29 21 72 99 18 88 87 74 70 92 19 60 75 58 3 1 99 8 49 99 24 54 6 40 9 46 83 1 29 94 4 35 71 13 1 99 29 73 95 68 76 31 2 63 64 32 5 82 77 87 53 50 27 13 2 31 49 16 21 73 70 45 6 92 19 97 39 91 56 95 43 72 18 22 21 96 49 96 7 41 4 9 60 30 63 27 59 50 43 52 16 61 9 73 8 77 53 95 59 10 81 66 16 36 78 68 28 23 87 1 9 54 52 88 96 1 59 65 97 67 40 24 39 30 10 89 10 80 7 29 39 53 93 74 62 96 87 52 21 64 30 4 11 62 61 82 4 29 76 31 98 83 97 46 67 21 56 88 12 92 53 39 27 48 63 92 84 38 92 69 85 67 24 29 13 66 14 69 93 57 18 74 22 96 28 68 72 13 6 30 14 81 78 58 95 83 36 96 6 75 95 48 14 10 72 59 15 57 77 86 70 78 94 9 51 59 12 75 80 43 13 67 16 87 10 42 45 55 76 95 65 71 89 27 99 16 63 10 17 24 63 85 53 87 12 69 92 62 94 69 17 51 28 59 18 1 41 4 6 21 14 93 10 49 34 15 2 17 91 82 19 39 58 97 17 6 64 15 53 67 46 6 37 24 42 82 20 86 16 37 75 26 82 25 80 70 65 66 69 47 23 3 d1 1964 d' 1222 d'' 562 d2 480 The optimum objective value at d = d1 is:3547 Objective value of heuristic solution at d = d1 is:3548 Objective value of heuristic solution at d = d' is:6635 Objective value of heuristic solution at d = d'' is:16486 Instance No. 18 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 55 40 94 49 63 79 28 86 77 14 26 66 31 95 31 2 69 29 78 68 49 32 70 68 80 84 18 3 68 43 84 3 28 76 54 20 39 7 29 11 14 58 37 69 27 93 13 4 56 1 86 48 63 1 4 38 21 27 64 41 29 25 73 5 98 75 64 55 89 97 4 2 19 13 29 92 21 85 32 6 66 31 59 57 54 62 40 19 12 53 13 98 31 41 3 7 27 91 1 30 45 48 42 61 46 25 41 29 93 2 61 8 85 27 37 74 52 42 97 83 71 72 83 63 26 45 50 9 62 40 73 88 87 63 28 83 71 80 5 23 83 3 20 10 42 36 40 69 49 72 86 91 41 86 19 13 42 81 21 11 58 90 65 21 19 46 90 82 19 50 86 26 5 3 70 12 12 91 30 85 65 51 83 63 29 4 50 9 68 69 18 13 37 2 53 31 19 96 78 1 50 31 44 10 4 98 88 14 24 63 38 37 11 45 73 64 83 57 38 35 3 23 67 15 90 33 87 7 76 99 1 5 81 87 29 92 48 54 6 16 11 98 45 47 12 73 65 47 50 47 68 65 25 42 96 17 77 95 68 43 16 18 50 92 78 25 18 90 25 37 79 18 27 15 37 88 72 11 60 26 89 94 64 44 91 59 22 19 51 12 3 63 12 2 23 18 27 84 84 9 58 40 63 20 6 21 60 52 5 22 33 83 74 27 84 66 80 4 16 d1 1882 d' 1215 d'' 683 d2 549 The optimum objective value at d = d1 is:2871 Objective value of heuristic solution at d = d1 is:2871 Objective value of heuristic solution at d = d' is:5473 Objective value of heuristic solution at d = d'' is:12320 Instance No. 19 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 33 66 94 40 9 33 85 73 73 6 54 84 84 51 77 2 77 51 63 10 98 64 87 43 67 19 45 9 23 3 69 3 38 44 53 78 31 24 73 89 86 29 69 97 42 6 57 4 46 40 8 8 39 57 57 2 47 88 13 17 9 84 59 5 96 87 45 36 56 42 79 93 31 37 44 55 71 41 7 6 86 96 51 30 33 92 15 18 10 42 57 8 42 75 81 7 94 95 56 91 26 42 71 64 51 60 43 57 77 7 65 8 43 83 37 32 6 74 34 3 65 1 31 53 11 15 71 9 15 43 70 93 87 78 64 76 64 3 59 76 98 27 18 10 80 15 44 42 26 55 31 60 11 80 53 85 98 38 64 11 7 88 86 57 84 80 79 79 47 63 68 93 6 50 43 12 74 92 84 47 46 55 72 50 64 26 56 14 10 7 98 13 85 29 2 35 66 43 92 77 75 7 23 59 95 80 99 14 59 10 46 54 97 71 88 31 65 22 59 85 22 18 37 15 86 3 72 57 45 34 26 51 84 64 46 30 49 74 67 16 41 85 42 66 70 91 92 69 12 82 57 45 89 33 6 17 66 26 90 42 76 30 46 6 33 18 25 4 87 28 80 18 96 62 53 40 2 41 32 85 31 21 76 81 15 68 5 19 21 18 67 40 42 42 22 94 70 79 32 3 64 29 59 20 7 38 91 7 76 30 22 29 15 46 9 24 3 35 87 d1 1860 d' 1189 d'' 1082 d2 519 The optimum objective value at d = d1 is:4155 Objective value of heuristic solution at d = d1 is:4155 Objective value of heuristic solution at d = d' is:6839 Objective value of heuristic solution at d = d'' is:8534 Instance No. 20 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 25 12 62 38 92 2 24 98 21 89 24 62 33 26 11 2 11 56 17 74 68 57 12 34 17 10 56 29 47 41 19 3 23 73 81 56 70 69 39 19 48 51 22 17 38 19 19 4 87 12 49 37 52 94 56 93 68 2 38 80 81 22 32 5 84 80 73 39 2 45 95 7 92 24 45 67 38 16 63 6 56 41 49 71 75 47 25 10 35 43 1 43 54 25 74 7 32 26 25 6 54 78 23 56 62 46 62 84 65 77 47 8 31 83 33 59 38 38 28 97 57 53 54 49 33 47 66 9 72 51 30 77 82 83 72 38 16 25 57 16 33 38 20 10 28 53 82 88 52 11 7 59 3 80 95 47 23 71 6 11 84 40 37 89 46 78 33 40 27 3 31 51 70 86 28 12 21 38 55 72 58 2 10 76 61 87 11 92 88 37 5 13 40 98 88 22 26 65 47 11 99 89 97 10 30 50 1 14 31 97 15 70 4 59 86 66 65 86 52 16 63 81 44 15 85 30 28 14 33 41 41 37 27 89 41 40 2 55 43 16 24 11 95 2 59 77 25 55 61 54 69 61 9 92 24 17 11 83 10 49 57 9 74 8 77 20 3 13 12 26 35 18 31 6 12 17 90 7 71 58 49 75 46 18 64 75 33 19 66 29 50 70 38 28 90 30 8 92 6 84 84 68 70 20 54 97 12 79 23 44 44 17 90 81 33 40 12 30 18 d1 1952 d' 1219 d'' 1517 d2 487 The optimum objective value at d = d1 is:2060 Objective value of heuristic solution at d = d1 is:2060 Objective value of heuristic solution at d = d' is:4371 Objective value of heuristic solution at d = d'' is:2467 Instance No. 21 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 45 99 84 15 19 29 43 55 81 33 93 32 94 47 63 2 54 67 21 94 13 77 53 46 16 21 30 66 55 19 99 3 48 74 27 59 12 52 90 22 8 99 30 90 85 11 66 4 90 71 75 51 67 85 92 31 69 71 72 25 4 67 38 5 21 47 81 3 3 47 83 81 72 82 92 13 43 46 92 6 61 15 46 50 58 42 52 52 61 27 27 46 57 9 5 7 7 41 36 18 38 78 42 65 73 29 57 29 93 26 33 8 40 70 43 44 27 68 94 62 31 80 12 63 65 25 5 9 19 8 43 26 64 54 49 20 59 22 45 4 6 31 74 10 57 90 30 46 16 82 91 84 99 88 33 92 92 73 25 11 93 45 14 8 12 25 62 52 76 49 40 96 28 44 76 12 11 62 43 47 20 71 91 99 12 74 93 36 14 39 2 13 86 68 82 72 6 8 78 87 97 46 28 87 98 95 11 14 99 84 88 14 39 56 78 35 24 7 76 31 35 7 18 15 75 54 31 22 52 97 33 33 76 27 74 30 9 64 92 16 57 76 6 97 62 2 7 22 27 12 14 52 51 53 10 17 45 54 21 19 54 58 90 32 18 43 8 82 16 77 55 18 72 14 96 95 63 79 83 54 8 21 33 12 67 94 7 19 1 15 33 19 91 14 31 9 21 44 79 10 35 83 18 20 53 14 97 90 80 40 83 58 4 45 39 88 99 62 44 d1 2060 d' 1281 d'' 783 d2 503 The optimum objective value at d = d1 is:2329 Objective value of heuristic solution at d = d1 is:2329 Objective value of heuristic solution at d = d' is:4945 Objective value of heuristic solution at d = d'' is:10766 Instance No. 22 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 60 23 97 99 28 73 80 93 37 20 99 99 5 82 39 2 1 95 4 82 45 12 5 50 47 77 18 34 91 19 33 3 38 72 2 44 80 5 53 44 18 57 10 13 9 36 28 4 78 8 57 68 21 54 9 44 12 22 51 95 56 48 68 5 28 50 20 62 89 86 96 47 12 22 88 47 61 91 3 6 61 39 25 26 23 78 43 50 6 87 52 39 54 93 8 7 7 33 95 68 62 97 47 45 25 18 68 32 43 98 76 8 66 93 7 35 99 56 2 55 60 22 18 24 94 28 89 9 50 3 86 4 20 15 62 15 37 67 33 90 26 66 76 10 87 90 84 70 28 45 27 4 58 5 47 92 49 47 25 11 84 30 88 50 36 42 17 33 99 78 4 23 64 72 12 12 75 52 2 17 71 32 45 80 65 65 72 97 53 84 73 13 30 15 58 64 11 27 54 54 2 36 88 67 99 95 99 14 47 38 92 32 49 39 65 74 68 55 16 30 86 25 15 15 63 78 98 43 15 56 64 76 12 28 14 10 85 22 92 16 80 6 96 11 57 68 67 59 58 51 17 16 50 55 62 17 77 42 73 22 79 81 77 3 19 41 41 82 74 81 72 18 6 16 76 4 98 15 36 70 53 86 36 25 21 35 74 19 86 73 93 87 72 27 11 41 21 75 90 21 8 58 53 20 31 88 6 16 91 94 15 81 75 4 49 86 50 52 71 d1 1846 d' 1177 d'' 1454 d2 509 The optimum objective value at d = d1 is:3657 Objective value of heuristic solution at d = d1 is:3657 Objective value of heuristic solution at d = d' is:6550 Objective value of heuristic solution at d = d'' is:4388 Instance No. 23 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 36 82 44 50 21 74 17 28 41 17 10 70 87 8 20 2 22 89 77 82 86 38 71 82 3 51 91 49 37 52 53 3 94 14 80 58 80 50 20 51 33 10 99 28 29 54 24 4 32 78 25 13 1 50 97 99 77 23 3 86 70 70 55 5 65 94 31 18 81 47 59 53 96 89 12 52 70 86 87 6 73 83 26 28 89 63 66 81 98 29 19 49 41 98 3 7 61 97 37 21 88 75 43 67 50 49 52 97 24 38 84 8 17 2 48 4 53 46 71 68 94 67 57 11 29 6 93 9 17 86 46 41 59 55 46 48 4 57 82 78 24 36 17 10 95 14 5 61 62 39 12 92 9 44 12 91 80 30 21 11 94 63 93 66 74 73 87 21 88 3 96 86 42 15 34 12 78 59 50 56 66 30 99 85 86 23 23 52 74 85 82 13 59 28 15 54 85 91 81 22 83 17 55 54 6 95 9 14 13 8 23 22 88 40 7 45 39 67 49 40 81 82 91 15 66 38 72 48 42 80 46 7 21 71 36 28 67 27 24 16 55 47 38 55 74 12 93 3 90 92 90 43 6 43 11 17 35 16 62 46 19 27 38 69 84 58 60 84 66 15 28 18 14 43 48 77 7 34 38 72 56 51 75 26 30 16 43 19 77 22 63 11 52 62 53 98 11 13 98 83 78 68 77 20 55 30 34 42 15 17 76 27 68 58 93 98 35 66 64 d1 2020 d' 1312 d'' 1963 d2 605 The optimum objective value at d = d1 is:2883 Objective value of heuristic solution at d = d1 is:2883 Objective value of heuristic solution at d = d' is:5213 Objective value of heuristic solution at d = d'' is:2883 Instance No. 24 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 84 70 73 46 61 2 87 46 50 58 13 14 62 89 58 2 11 5 97 58 76 91 63 52 58 7 48 18 49 51 74 3 7 49 53 99 84 69 17 78 20 44 26 37 84 38 26 4 13 75 10 52 45 81 85 16 90 78 22 21 46 77 32 5 71 68 31 14 87 77 24 64 45 36 94 46 13 95 6 6 48 61 80 84 28 72 72 20 4 39 19 39 13 7 40 7 92 14 74 9 32 90 71 43 20 65 14 30 67 18 10 8 14 96 87 39 3 82 33 70 91 78 54 56 6 56 87 9 81 44 79 22 64 79 95 86 92 52 74 41 82 45 39 10 3 28 25 84 63 33 57 20 82 12 70 94 86 67 12 11 76 57 28 14 39 88 85 72 71 11 68 62 54 40 50 12 76 50 9 66 84 61 20 88 75 24 17 66 83 75 93 13 23 16 82 83 13 86 42 95 62 53 19 59 99 2 14 14 68 44 2 87 53 29 4 91 18 53 42 46 31 27 3 15 43 77 9 58 49 4 55 39 36 8 6 8 78 32 32 16 16 97 58 82 71 35 56 73 50 46 7 24 34 10 32 17 4 59 54 47 12 80 68 69 97 71 86 73 6 82 93 18 47 19 68 8 35 22 97 18 70 40 19 54 11 38 23 19 86 69 39 37 19 34 73 50 38 69 79 90 48 49 38 20 39 3 11 28 52 13 96 86 46 35 20 17 28 78 8 d1 2035 d' 1284 d'' 1580 d2 534 The optimum objective value at d = d1 is:2281 Objective value of heuristic solution at d = d1 is:2281 Objective value of heuristic solution at d = d' is:4775 Objective value of heuristic solution at d = d'' is:2702 Instance No. 25 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 19 31 29 92 96 53 58 33 56 9 16 57 80 82 9 2 1 31 25 6 98 37 83 59 16 67 38 10 45 23 80 3 16 17 82 60 63 33 65 41 37 8 78 5 30 15 30 4 37 70 78 97 11 72 6 98 92 3 49 68 29 64 14 5 92 92 19 1 37 53 51 67 78 64 61 46 9 88 65 6 77 61 24 65 88 42 17 58 66 23 25 64 60 27 80 7 97 62 72 47 33 96 42 50 52 75 46 14 9 68 55 8 47 32 69 77 84 9 2 84 25 95 30 46 53 5 56 9 10 18 27 89 15 32 99 20 10 30 30 54 87 5 34 10 15 74 42 27 94 19 8 22 24 79 36 83 33 1 96 11 22 40 22 46 91 26 4 35 41 73 89 42 82 66 1 12 80 60 44 16 94 62 20 4 59 87 78 5 44 23 6 13 96 84 69 57 40 13 5 39 33 35 14 97 12 1 56 14 87 19 65 2 32 40 11 94 1 37 70 65 6 79 21 15 65 2 6 60 91 31 82 10 14 61 95 51 15 63 23 16 10 9 59 50 9 39 38 43 84 31 82 63 96 48 81 17 23 29 19 73 18 47 96 38 33 77 10 7 93 93 2 18 68 10 69 54 7 69 57 97 98 36 83 33 42 45 34 19 45 76 36 52 89 8 22 69 22 42 99 89 95 2 70 20 81 45 86 95 99 31 55 4 48 78 53 82 21 29 39 d1 1851 d' 1205 d'' 851 d2 560 The optimum objective value at d = d1 is:2591 Objective value of heuristic solution at d = d1 is:2591 Objective value of heuristic solution at d = d' is:4624 Objective value of heuristic solution at d = d'' is:9798 Instance No. 26 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 75 68 12 36 11 17 91 24 20 23 24 74 55 76 14 2 53 50 21 83 1 12 14 6 59 76 64 99 42 72 60 3 30 46 2 19 75 15 41 25 56 28 94 65 12 99 20 4 42 98 88 2 88 82 79 56 79 45 22 11 18 35 3 5 66 68 92 29 58 63 55 57 72 55 62 20 95 18 33 6 57 27 15 55 54 82 8 70 52 63 78 10 90 18 52 7 85 68 83 72 32 46 16 81 86 85 71 73 46 34 1 8 72 86 27 81 43 2 28 18 51 98 84 20 96 12 47 9 74 70 87 83 88 73 62 18 60 70 99 33 12 53 55 10 89 19 30 65 93 89 93 6 5 12 98 95 88 44 73 11 54 64 27 15 72 41 35 80 45 82 68 96 16 49 13 12 34 13 47 99 89 32 53 39 93 10 44 72 12 48 39 13 81 72 78 3 3 18 62 41 21 77 72 20 66 5 57 14 41 66 11 2 55 23 77 95 34 72 92 48 13 70 23 15 72 40 25 6 95 77 49 45 55 93 46 36 44 66 54 16 57 6 21 17 95 59 41 25 67 41 48 72 7 25 68 17 18 86 27 31 36 11 23 39 4 83 61 89 85 60 63 18 36 70 67 31 45 76 7 45 55 54 54 97 75 60 67 19 27 6 51 11 85 47 83 3 19 87 39 89 72 19 53 20 95 70 14 87 50 96 47 58 41 12 35 17 45 89 86 d1 2010 d' 1315 d'' 1636 d2 620 The optimum objective value at d = d1 is:3047 Objective value of heuristic solution at d = d1 is:3047 Objective value of heuristic solution at d = d' is:5104 Objective value of heuristic solution at d = d'' is:3261 Instance No. 27 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 39 36 85 95 23 99 13 42 11 40 99 54 44 94 79 2 60 87 14 42 19 80 31 71 80 88 70 66 15 63 47 3 42 92 78 87 84 46 78 39 92 9 57 71 68 69 66 4 76 77 52 42 68 2 81 42 75 96 44 7 9 38 53 5 35 3 18 32 43 82 75 25 13 84 10 61 99 51 79 6 49 29 6 92 26 59 7 26 94 40 74 47 44 3 71 7 53 26 9 98 95 71 18 90 18 47 72 60 17 10 95 8 56 48 98 56 70 60 64 35 82 81 76 10 33 48 11 9 57 34 95 38 38 1 83 41 84 92 81 8 36 56 98 10 42 90 12 64 64 14 96 91 14 19 31 71 61 94 88 11 76 7 25 65 65 25 60 11 53 65 36 3 92 6 47 12 68 44 69 62 45 39 71 53 23 80 28 71 72 72 76 13 23 31 32 28 45 6 44 50 52 74 47 43 19 26 42 14 43 68 33 91 59 99 89 18 65 46 75 97 21 60 81 15 11 59 78 19 93 68 73 79 5 25 75 36 71 86 40 16 82 35 58 35 52 74 51 13 95 13 71 53 9 52 37 17 70 70 47 50 71 7 33 86 60 8 11 98 39 85 48 18 77 23 52 74 22 88 69 24 11 40 12 28 48 86 6 19 41 93 45 17 65 38 32 1 91 6 13 7 60 31 85 20 82 88 84 73 59 25 61 65 31 30 77 2 33 6 69 d1 1728 d' 1145 d'' 1562 d2 562 The optimum objective value at d = d1 is:4664 Objective value of heuristic solution at d = d1 is:4701 Objective value of heuristic solution at d = d' is:7909 Objective value of heuristic solution at d = d'' is:4871 Instance No. 28 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 33 94 54 95 4 38 9 1 65 88 38 78 16 96 28 2 4 92 81 62 11 95 42 18 74 9 98 91 22 61 99 3 24 1 27 18 75 28 45 34 58 79 96 3 11 49 30 4 19 48 57 21 78 11 11 44 69 32 68 36 20 76 93 5 75 42 86 91 35 67 66 67 9 56 35 60 84 99 84 6 97 48 66 76 31 55 2 85 7 48 58 41 27 40 60 7 79 66 49 23 62 42 27 49 46 22 99 90 45 47 56 8 10 59 62 74 28 10 80 16 15 9 93 63 30 92 41 9 17 21 87 57 45 16 37 44 75 39 86 7 2 4 45 10 22 70 92 40 65 77 97 47 20 62 45 62 66 17 27 11 89 6 71 82 14 83 43 44 11 88 88 70 10 50 13 12 34 96 52 63 31 96 13 66 52 12 50 5 43 61 72 13 93 34 87 50 16 87 92 54 33 87 73 40 77 34 81 14 84 81 67 51 95 58 23 56 54 95 71 83 33 97 96 15 51 90 77 1 15 30 75 69 28 53 29 2 68 73 73 16 57 12 56 40 67 71 46 65 22 4 56 87 35 85 45 17 18 84 5 35 45 39 9 61 8 28 69 11 11 28 86 18 77 91 33 92 15 96 97 12 52 34 6 73 65 70 91 19 14 61 1 83 18 90 40 86 96 65 78 64 25 70 74 20 34 13 88 98 83 22 65 94 11 4 23 4 52 27 48 d1 1860 d' 1198 d'' 781 d2 537 The optimum objective value at d = d1 is:4733 Objective value of heuristic solution at d = d1 is:4733 Objective value of heuristic solution at d = d' is:7147 Objective value of heuristic solution at d = d'' is:12710 Instance No. 29 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 69 75 12 62 91 47 85 58 13 44 78 45 94 32 75 2 32 18 41 30 82 69 14 43 43 39 50 38 92 71 5 3 81 74 53 86 34 70 93 95 42 17 71 58 16 15 9 4 22 51 46 64 73 66 60 56 43 87 1 59 75 57 76 5 92 63 70 28 7 86 78 18 66 11 66 94 66 10 4 6 53 87 99 39 91 63 35 94 13 19 5 25 80 48 91 7 76 29 32 50 76 91 7 11 55 34 52 69 26 81 4 8 25 61 31 69 96 34 95 10 85 17 34 39 77 30 94 9 72 7 11 76 15 25 41 28 1 29 26 69 42 58 67 10 26 10 95 84 65 48 50 53 20 69 18 55 36 52 51 11 78 11 27 9 82 62 83 24 36 98 52 35 84 31 85 12 46 56 65 47 16 83 42 78 44 94 95 84 68 32 63 13 58 5 64 30 74 34 12 72 21 70 44 48 68 82 7 14 71 10 25 74 34 87 4 88 93 74 47 96 34 49 39 15 71 51 16 29 8 87 16 48 79 75 47 40 73 82 95 16 38 90 51 21 49 88 34 82 25 86 53 49 2 67 47 17 63 92 46 24 4 75 85 87 68 80 59 5 26 45 53 18 21 64 7 21 98 94 67 3 31 9 59 69 6 4 12 19 30 61 12 94 87 36 48 38 42 17 27 44 99 50 94 20 67 80 93 77 94 79 96 63 35 2 81 51 36 68 28 d1 1974 d' 1269 d'' 1165 d2 565 The optimum objective value at d = d1 is:3078 Objective value of heuristic solution at d = d1 is:3078 Objective value of heuristic solution at d = d' is:6370 Objective value of heuristic solution at d = d'' is:7599 Instance No. 30 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 48 45 51 54 16 6 75 51 85 41 70 29 27 19 97 2 4 67 53 7 77 19 69 36 84 82 17 60 41 72 30 3 73 87 57 75 56 15 72 31 96 63 13 41 71 17 60 4 28 28 51 85 21 11 64 39 55 61 88 75 97 1 34 5 44 55 22 29 29 58 11 59 70 76 17 57 22 57 8 6 6 96 30 21 29 84 43 71 95 29 32 35 47 28 56 7 61 72 26 87 95 83 50 59 52 22 31 22 57 36 67 8 92 43 26 29 53 29 70 44 73 71 29 35 34 46 9 9 52 7 48 46 95 81 64 21 41 14 53 4 91 75 56 10 73 28 23 58 4 99 14 82 48 10 66 78 41 99 3 11 85 38 12 9 77 18 81 80 94 65 21 68 26 54 16 12 88 95 64 5 51 93 34 44 23 14 94 39 68 78 98 13 83 41 46 48 32 36 66 22 41 84 32 58 53 53 6 14 79 38 26 95 71 39 73 22 4 3 97 66 61 45 81 15 60 40 11 34 62 15 72 48 36 50 70 68 34 13 21 16 12 40 21 16 28 78 24 97 81 23 2 35 15 70 22 17 93 73 5 35 61 90 20 40 84 68 98 6 80 44 60 18 50 25 23 79 95 31 46 75 60 87 35 76 72 72 95 19 32 64 68 51 65 88 89 52 71 87 17 41 21 97 33 20 48 37 58 36 66 59 43 98 26 62 10 37 83 96 3 d1 2126 d' 1345 d'' 763 d2 564 The optimum objective value at d = d1 is:2449 Objective value of heuristic solution at d = d1 is:2449 Objective value of heuristic solution at d = d' is:4548 Objective value of heuristic solution at d = d'' is:11947 Instance No. 31 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 30 87 13 80 82 64 59 46 28 2 87 64 44 29 71 2 4 77 34 78 98 92 76 69 66 45 51 87 69 1 29 3 44 25 70 1 52 97 91 26 29 71 3 96 57 68 66 4 66 29 60 17 58 49 14 95 74 86 63 43 80 30 67 5 68 21 98 31 84 68 86 61 6 37 48 74 20 49 79 6 80 95 80 81 8 7 40 34 60 23 27 39 16 84 11 7 30 21 91 23 29 52 38 20 87 85 34 80 35 51 42 8 74 61 15 63 36 5 65 45 56 38 1 7 9 56 16 9 49 41 18 51 15 94 68 7 5 19 80 17 46 4 42 10 94 77 22 23 20 31 60 68 62 89 4 41 9 34 43 11 69 13 82 66 53 63 89 48 1 79 84 92 41 17 73 12 6 77 94 49 97 66 99 22 72 79 28 35 84 61 31 13 21 7 26 35 88 75 29 30 37 18 82 72 25 53 31 14 38 95 82 61 68 56 47 4 24 49 7 57 32 65 87 15 60 19 63 62 2 20 16 63 43 67 81 12 88 29 11 16 52 19 49 31 22 77 53 96 43 2 43 64 34 68 60 17 66 87 69 37 71 84 96 43 78 19 47 52 40 91 3 18 51 60 65 47 63 93 98 96 28 94 32 93 25 31 36 19 20 21 64 48 34 59 49 38 8 1 59 83 83 58 84 20 55 99 15 70 50 39 4 33 40 45 23 21 3 12 36 d1 1998 d' 1271 d'' 1594 d2 545 The optimum objective value at d = d1 is:3136 Objective value of heuristic solution at d = d1 is:3136 Objective value of heuristic solution at d = d' is:5570 Objective value of heuristic solution at d = d'' is:3367 Instance No. 32 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 58 35 77 60 63 69 81 7 48 52 45 1 76 14 54 2 95 64 88 49 9 72 23 19 99 61 86 86 88 71 90 3 67 31 60 49 15 82 8 44 30 59 36 27 62 77 16 4 84 33 78 59 37 33 32 22 69 27 75 29 46 80 62 5 37 77 88 17 19 86 15 36 39 11 31 11 89 71 40 6 91 96 31 34 11 58 43 90 29 30 54 71 33 96 96 7 92 9 91 49 5 17 90 38 25 87 3 44 48 79 90 8 41 93 39 73 4 95 50 84 69 29 86 40 12 2 61 9 24 98 15 23 29 66 42 92 50 50 4 91 61 8 62 10 93 6 59 1 68 32 21 94 35 69 10 77 26 76 50 11 98 87 74 83 11 82 41 18 96 35 34 39 6 71 75 12 55 49 1 20 10 14 36 52 77 26 11 40 39 19 83 13 1 74 53 16 70 53 56 36 86 38 57 59 81 59 18 14 85 42 58 44 98 37 86 58 66 24 35 59 14 58 27 15 5 31 59 78 74 58 46 53 89 14 91 56 21 72 28 16 78 85 94 2 76 81 26 61 57 96 44 93 37 95 95 17 10 82 97 25 66 3 60 86 90 8 57 63 42 23 55 18 61 97 10 80 41 22 19 62 17 22 33 35 13 72 97 19 60 62 81 56 29 15 98 18 66 80 76 9 22 35 60 20 7 98 40 74 11 58 25 24 97 50 20 16 68 37 88 d1 1818 d' 1175 d'' 1232 d2 532 The optimum objective value at d = d1 is:4754 Objective value of heuristic solution at d = d1 is:4755 Objective value of heuristic solution at d = d' is:7075 Objective value of heuristic solution at d = d'' is:6642 Instance No. 33 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 61 69 25 27 81 55 21 87 95 54 98 70 69 83 96 2 95 65 67 2 17 67 75 83 36 91 38 54 75 74 94 3 11 23 12 81 6 95 52 52 63 12 34 72 72 93 91 4 50 40 61 59 82 62 93 63 94 50 47 13 45 75 59 5 68 36 32 43 65 97 76 92 47 56 4 9 20 55 74 6 12 89 86 45 25 9 99 15 27 75 90 68 17 9 55 7 76 59 16 55 30 64 52 39 18 38 50 75 15 57 53 8 93 48 68 75 57 44 29 67 5 91 76 16 87 36 33 9 38 75 9 6 29 94 63 3 80 64 22 11 87 81 79 10 33 11 35 98 74 80 80 75 66 39 84 8 50 2 70 11 89 36 37 74 28 64 27 76 73 60 38 33 77 82 63 12 49 91 38 52 92 9 38 34 63 2 38 35 77 64 67 13 86 29 20 26 88 34 6 18 31 42 72 82 7 65 43 14 47 12 67 38 46 72 72 38 3 4 8 17 48 39 31 15 22 59 42 19 66 51 70 18 21 2 79 71 15 46 37 16 66 96 61 93 22 86 38 33 46 28 86 2 60 38 63 17 87 96 29 62 1 67 60 28 76 50 51 72 44 25 86 18 34 5 56 76 21 16 88 2 67 34 62 13 56 65 83 19 11 89 45 51 28 98 70 21 51 33 91 5 72 6 97 20 37 65 12 65 73 45 94 55 53 97 52 78 35 3 97 d1 1577 d' 1059 d'' 991 d2 542 The optimum objective value at d = d1 is:5629 Objective value of heuristic solution at d = d1 is:5637 Objective value of heuristic solution at d = d' is:8657 Objective value of heuristic solution at d = d'' is:9296 Instance No. 34 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 39 77 44 59 47 53 72 19 88 96 39 44 11 48 70 2 94 46 15 37 11 35 22 63 85 71 13 1 92 80 46 3 98 3 63 36 52 60 25 36 4 90 51 75 55 38 23 4 32 69 81 85 51 85 54 56 98 37 15 9 7 87 44 5 47 83 84 7 88 69 55 10 48 62 77 33 51 59 50 6 68 7 87 34 97 92 86 93 3 52 19 78 30 63 91 7 16 87 41 14 18 25 96 88 55 25 82 48 88 59 99 8 60 54 47 18 37 78 43 96 90 32 95 43 92 71 44 9 59 21 92 37 95 85 63 1 50 8 53 40 17 61 14 10 43 97 13 20 24 35 37 92 47 94 95 5 19 32 61 11 96 38 47 72 42 31 28 45 57 63 41 27 94 2 42 12 50 49 95 37 1 39 74 39 83 63 82 45 65 53 55 13 36 55 93 45 12 14 23 59 71 92 48 17 83 24 95 14 62 54 64 13 50 39 65 77 26 41 44 3 60 29 9 15 68 73 64 15 25 43 71 6 80 96 85 65 25 50 1 16 10 61 57 22 38 42 5 25 46 67 81 30 30 87 70 17 52 54 91 96 62 52 59 73 95 52 92 7 74 8 34 18 40 32 58 59 15 73 72 59 57 15 82 68 52 72 84 19 97 10 28 4 78 56 50 42 66 69 30 98 63 24 69 20 32 66 89 53 99 62 77 16 85 54 44 63 92 84 96 d1 1912 d' 1274 d'' 1835 d2 636 The optimum objective value at d = d1 is:3821 Objective value of heuristic solution at d = d1 is:3821 Objective value of heuristic solution at d = d' is:6562 Objective value of heuristic solution at d = d'' is:3821 Instance No. 35 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 9 32 30 83 63 9 51 39 3 74 42 6 59 53 96 2 57 73 3 70 19 75 68 76 76 66 79 45 40 70 10 3 99 3 63 94 87 93 4 70 73 75 92 86 82 81 86 4 9 40 10 87 64 19 52 14 86 9 29 67 88 76 16 5 80 66 27 82 56 23 78 66 87 18 64 15 6 99 23 6 55 89 67 38 13 56 64 55 67 20 37 37 13 31 70 7 26 5 85 57 29 71 76 82 63 53 50 42 50 52 62 8 88 59 19 88 91 30 75 45 46 76 81 69 53 85 47 9 95 4 34 68 22 65 54 37 35 96 71 79 46 82 81 10 20 10 51 44 55 67 59 46 23 30 1 51 89 7 6 11 22 45 28 57 78 63 5 69 81 68 49 68 44 37 63 12 16 98 23 75 31 79 47 79 25 51 75 77 89 59 61 13 84 55 66 47 4 35 10 20 65 21 86 64 69 25 87 14 13 67 98 79 26 73 1 47 45 38 89 62 11 75 28 15 94 50 17 48 63 4 75 12 75 4 31 25 49 57 79 16 99 34 87 61 14 67 15 32 66 35 39 19 84 99 60 17 97 44 62 89 62 56 20 68 8 14 34 11 18 13 7 18 85 16 79 3 51 43 27 75 67 97 6 54 59 1 48 19 55 44 68 89 97 14 37 50 94 83 55 84 11 70 41 20 40 64 69 29 84 60 83 51 6 54 76 72 91 49 66 d1 2025 d' 1292 d'' 1162 d2 559 The optimum objective value at d = d1 is:3584 Objective value of heuristic solution at d = d1 is:3584 Objective value of heuristic solution at d = d' is:5678 Objective value of heuristic solution at d = d'' is:6984 Instance No. 36 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 82 18 14 30 78 27 8 42 66 46 52 10 73 66 83 2 43 24 62 43 30 82 67 52 82 72 26 54 59 19 87 3 95 84 48 31 45 12 44 86 97 16 2 26 98 3 92 4 31 69 33 29 22 13 72 62 83 87 34 66 99 34 15 5 64 56 68 30 51 84 74 64 90 13 55 30 15 8 69 6 94 90 98 84 91 88 60 85 72 39 16 18 80 61 37 7 80 95 84 61 72 12 91 33 98 40 70 49 37 34 52 8 87 89 65 48 19 48 19 72 78 84 60 84 69 79 72 9 83 32 92 72 84 81 77 73 18 8 1 34 36 73 40 10 42 13 93 79 32 48 2 88 53 48 4 12 76 91 35 11 18 16 90 39 37 13 64 94 11 74 96 31 69 86 99 12 18 84 26 36 56 72 93 88 38 66 17 2 34 48 68 13 13 79 7 34 5 3 67 86 40 24 29 68 23 60 55 14 14 51 86 32 2 78 28 23 22 38 9 57 35 35 46 15 77 55 86 45 29 32 46 27 45 4 33 39 4 54 93 16 65 65 17 28 8 44 98 14 23 36 24 21 88 76 70 17 22 60 94 20 96 29 69 66 89 48 35 59 25 58 80 18 14 1 85 15 88 69 59 64 25 17 60 66 49 99 37 19 77 60 56 56 98 80 79 96 13 52 65 31 14 20 75 20 40 50 98 20 64 54 40 76 34 44 1 39 64 97 49 d1 2049 d' 1302 d'' 1422 d2 556 The optimum objective value at d = d1 is:4964 Objective value of heuristic solution at d = d1 is:4964 Objective value of heuristic solution at d = d' is:6317 Objective value of heuristic solution at d = d'' is:5707 Instance No. 37 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 72 53 38 83 4 45 5 82 40 64 2 66 50 35 29 2 82 31 80 17 22 2 51 51 20 6 7 18 72 94 35 3 74 15 73 87 63 64 63 85 46 57 19 19 3 43 52 4 88 26 14 39 93 21 92 4 14 57 80 51 21 39 81 5 20 36 83 45 83 64 8 82 41 57 17 41 23 1 10 6 48 37 77 48 26 67 51 55 53 54 78 89 42 79 1 7 56 3 6 1 3 77 79 42 43 41 88 37 91 68 54 8 41 48 60 79 91 9 42 39 26 18 31 82 43 7 84 9 65 40 99 68 80 49 55 47 68 99 77 88 68 35 59 10 10 17 28 37 48 8 98 72 17 90 63 7 32 22 28 11 25 95 74 41 12 48 24 33 95 31 32 33 32 83 11 12 69 22 36 54 24 51 22 78 59 70 65 58 57 33 26 13 22 52 37 68 44 37 37 51 49 41 95 91 82 24 56 14 76 94 57 20 98 48 74 89 3 3 44 38 73 67 12 15 87 82 47 90 37 41 9 28 34 75 64 16 56 76 76 16 33 76 57 26 28 84 89 21 39 40 6 47 32 4 67 17 28 24 15 66 31 76 27 48 79 44 19 1 93 71 63 18 84 68 64 62 39 90 42 64 45 59 58 32 25 6 65 19 61 48 89 57 64 22 85 13 91 64 12 94 87 37 43 20 26 76 79 81 74 22 26 39 25 67 75 26 10 66 54 d1 2067 d' 1322 d'' 961 d2 577 The optimum objective value at d = d1 is:3127 Objective value of heuristic solution at d = d1 is:3127 Objective value of heuristic solution at d = d' is:4789 Objective value of heuristic solution at d = d'' is:7728 Instance No. 38 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 42 35 88 79 7 6 7 34 21 59 92 84 80 65 68 2 17 25 21 91 83 6 16 40 11 26 60 10 51 59 16 3 51 91 33 72 28 15 23 68 27 2 56 88 98 68 7 4 85 28 24 42 16 17 59 7 38 91 43 55 8 78 91 5 83 66 94 58 36 96 82 96 61 31 97 96 49 67 89 6 56 33 73 82 5 2 72 68 32 85 97 75 36 32 32 7 26 7 95 4 59 39 31 79 51 53 55 14 60 12 15 8 86 39 6 7 46 80 72 46 59 58 59 98 54 77 57 9 51 18 11 77 43 82 89 56 75 70 93 67 37 24 30 10 26 10 74 26 99 22 59 75 80 8 95 19 61 77 49 11 75 4 80 59 87 11 23 87 84 60 30 31 80 46 59 12 13 71 78 50 64 80 92 99 8 76 14 31 18 55 72 13 67 68 90 10 64 36 90 65 18 54 31 25 62 20 29 14 59 67 5 93 65 1 6 5 82 7 13 70 95 51 87 15 32 23 67 6 98 7 19 27 31 54 5 73 56 98 79 16 87 95 26 69 2 60 23 5 84 35 46 24 5 65 30 17 64 35 64 50 57 68 63 40 41 64 42 35 92 5 77 18 2 21 48 60 89 66 30 22 84 68 88 4 56 41 39 19 56 86 89 89 62 39 64 93 2 85 74 77 9 12 93 20 93 82 1 66 58 21 48 24 90 77 45 74 87 19 5 d1 2038 d' 1285 d'' 1778 d2 532 The optimum objective value at d = d1 is:3451 Objective value of heuristic solution at d = d1 is:3451 Objective value of heuristic solution at d = d' is:5524 Objective value of heuristic solution at d = d'' is:3472 Instance No. 39 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 69 38 55 90 64 26 80 11 84 19 21 81 3 68 18 2 6 31 36 91 43 29 68 23 34 86 49 34 99 98 13 3 83 83 18 67 53 95 7 44 75 87 52 64 74 15 91 4 80 2 57 29 12 74 89 6 22 86 21 88 37 68 20 5 37 36 96 67 56 8 87 76 38 5 74 74 63 32 55 6 79 17 13 1 29 45 63 30 93 46 47 21 99 96 88 7 19 67 37 83 77 90 12 83 37 1 84 44 1 66 12 8 59 13 76 39 99 88 40 80 1 70 98 14 89 66 96 9 5 40 38 20 31 13 63 66 43 20 5 37 61 29 57 10 23 50 92 75 49 8 10 31 92 14 28 99 63 47 78 11 48 17 93 80 80 7 71 10 88 10 20 1 89 91 79 12 9 87 86 43 98 50 43 87 48 88 46 57 40 24 12 13 92 57 55 11 84 37 71 38 77 15 63 6 33 51 57 14 67 43 44 26 81 42 24 24 66 55 60 39 69 96 70 15 34 32 74 46 15 67 39 34 12 65 43 61 61 56 27 16 20 22 92 29 8 87 43 53 83 59 26 80 64 70 69 17 33 4 65 49 20 45 71 94 31 47 22 52 97 74 55 18 80 70 82 96 34 58 6 27 2 30 66 26 27 69 95 19 45 3 64 44 91 63 87 2 46 49 39 96 94 49 82 20 17 52 86 29 60 55 38 1 73 87 1 1 5 29 82 d1 1816 d' 1172 d'' 717 d2 528 The optimum objective value at d = d1 is:4126 Objective value of heuristic solution at d = d1 is:4129 Objective value of heuristic solution at d = d' is:6763 Objective value of heuristic solution at d = d'' is:13090 Instance No. 40 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 84 92 85 98 82 56 4 25 72 64 19 96 67 74 4 2 67 26 28 30 65 21 97 87 12 52 18 66 61 36 60 3 63 29 81 31 43 29 20 46 16 91 24 78 99 94 35 4 40 14 61 36 83 35 44 93 22 22 64 4 68 40 28 5 83 79 57 73 94 19 68 79 69 27 12 66 46 30 77 6 5 65 90 88 14 98 22 9 77 84 72 9 36 25 60 7 41 77 88 79 57 5 53 64 57 36 49 71 48 69 36 8 22 85 45 38 91 94 32 16 67 43 2 68 93 37 14 9 15 15 12 90 63 95 77 94 55 20 20 53 96 19 66 10 7 42 34 82 5 16 99 11 46 26 65 97 17 62 80 11 76 70 3 17 29 18 51 50 70 16 44 11 55 87 79 12 33 5 21 17 36 70 77 75 33 38 44 10 74 35 77 13 27 25 40 75 10 97 10 40 34 3 21 18 46 34 39 14 24 78 8 81 56 24 81 85 7 49 46 62 41 20 21 15 41 10 36 13 23 93 10 53 41 9 27 13 36 80 46 16 95 90 27 89 98 47 34 16 56 17 88 27 53 16 87 17 57 99 25 76 8 81 65 87 43 34 51 19 83 10 90 18 66 29 74 32 58 36 88 4 34 84 11 11 37 16 12 19 44 65 97 74 75 94 53 70 56 30 61 53 57 40 11 20 46 12 23 7 77 89 38 4 43 91 2 51 1 13 29 d1 1841 d' 1180 d'' 1165 d2 519 The optimum objective value at d = d1 is:3165 Objective value of heuristic solution at d = d1 is:3165 Objective value of heuristic solution at d = d' is:5703 Objective value of heuristic solution at d = d'' is:5853 Instance No. 41 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 94 32 13 73 97 61 43 98 45 55 6 26 26 80 46 2 50 1 90 92 9 60 36 3 83 50 34 85 2 77 34 3 10 72 12 75 56 28 32 60 65 95 11 32 97 18 54 4 35 21 93 58 17 49 23 79 19 23 20 38 17 70 29 5 83 34 49 44 73 71 28 63 92 16 80 97 35 92 11 6 14 24 64 27 15 47 84 8 6 27 38 62 32 82 56 7 5 96 72 79 31 35 5 7 41 12 56 66 44 69 65 8 16 73 92 84 57 7 35 14 25 86 61 69 13 38 51 9 23 57 52 5 24 31 91 23 46 97 50 72 42 57 41 10 50 93 80 41 77 93 19 44 6 81 40 21 75 8 5 11 82 61 43 61 84 24 86 29 16 22 93 51 8 64 87 12 90 8 43 47 40 94 6 34 22 41 96 9 43 39 7 13 5 93 31 75 57 21 35 93 53 59 85 38 94 37 98 14 14 11 84 41 44 13 33 68 97 88 31 67 5 63 89 15 93 76 57 36 55 57 71 65 74 80 24 3 3 28 62 16 37 36 97 52 66 41 39 76 17 11 18 73 40 2 64 17 63 28 79 78 62 36 91 9 37 76 74 87 88 78 71 18 93 92 80 71 57 28 3 99 26 66 97 78 73 20 65 19 62 28 97 7 36 14 25 57 68 45 56 83 81 10 14 20 37 76 91 45 21 95 66 82 98 2 99 81 72 27 23 d1 2079 d' 1332 d'' 1686 d2 586 The optimum objective value at d = d1 is:3303 Objective value of heuristic solution at d = d1 is:3303 Objective value of heuristic solution at d = d' is:4679 Objective value of heuristic solution at d = d'' is:3354 Instance No. 42 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 66 52 69 31 19 4 8 68 57 57 16 89 51 61 61 2 21 1 25 66 16 7 47 97 99 11 59 66 88 32 6 3 56 99 12 30 66 16 31 48 53 17 75 66 79 5 89 4 19 84 99 90 40 15 84 94 17 10 52 57 2 52 88 5 77 21 5 41 40 23 46 72 42 36 2 35 26 1 22 6 53 80 89 59 2 65 36 44 28 36 95 70 89 43 27 7 84 76 11 80 74 32 53 4 67 66 5 11 31 38 50 8 49 50 89 74 56 87 12 10 62 93 45 94 60 66 91 9 42 6 75 32 90 4 88 51 73 3 91 15 3 15 53 10 27 82 35 91 2 11 24 51 90 42 71 35 49 83 28 11 65 53 93 64 13 96 28 24 97 23 68 55 83 55 77 12 88 58 71 51 73 59 11 82 64 89 12 12 19 94 75 13 65 54 51 35 37 32 48 38 64 68 12 83 18 42 99 14 42 87 20 52 59 23 31 88 52 1 99 42 29 76 64 15 79 85 33 54 56 71 66 13 78 47 70 51 98 15 37 16 80 93 12 90 70 82 42 30 95 79 21 97 78 65 66 17 35 60 18 97 60 84 3 6 20 48 76 49 62 89 40 18 89 58 56 21 78 44 51 12 98 45 26 15 56 96 87 19 63 8 58 99 94 3 37 26 96 90 36 55 12 26 32 20 30 32 51 53 7 42 81 77 3 28 2 19 4 58 47 d1 1803 d' 1146 d'' 753 d2 489 The optimum objective value at d = d1 is:4178 Objective value of heuristic solution at d = d1 is:4182 Objective value of heuristic solution at d = d' is:7871 Objective value of heuristic solution at d = d'' is:12978 Instance No. 43 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 77 9 29 13 21 99 50 63 9 59 27 5 67 72 3 2 69 35 95 17 24 96 53 39 40 85 98 30 86 74 3 3 86 62 87 32 9 51 40 24 62 95 36 35 30 11 88 4 43 37 18 29 71 32 29 55 61 15 21 96 4 69 18 5 11 40 47 63 91 70 38 62 14 27 97 78 87 53 64 6 24 83 79 70 78 33 83 5 85 76 23 41 68 18 80 7 78 10 35 98 57 47 76 46 65 59 57 47 51 38 49 8 25 69 84 92 80 29 86 88 73 32 30 12 65 34 23 9 62 16 49 67 41 32 37 15 15 99 14 95 78 97 5 10 96 16 12 44 92 30 4 83 58 62 61 68 58 26 11 11 62 31 66 45 62 68 53 34 52 9 58 40 99 50 26 12 4 31 91 69 69 44 8 9 13 99 84 82 23 78 63 13 83 81 63 90 56 55 79 48 79 93 84 20 75 24 86 14 95 75 45 78 78 46 79 62 27 81 68 75 89 7 88 15 6 54 59 24 38 65 76 64 30 28 86 10 91 90 97 16 29 46 86 19 17 7 33 72 74 77 27 5 66 18 90 17 3 83 49 65 98 11 83 33 88 67 29 59 61 72 13 18 7 87 49 54 64 10 71 16 86 23 5 93 26 28 81 19 44 76 63 98 28 45 30 19 85 22 58 37 64 53 97 20 62 57 88 55 23 11 40 90 10 59 8 86 67 70 65 d1 1931 d' 1264 d'' 1185 d2 598 The optimum objective value at d = d1 is:3286 Objective value of heuristic solution at d = d1 is:3286 Objective value of heuristic solution at d = d' is:5593 Objective value of heuristic solution at d = d'' is:6750 Instance No. 44 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 54 15 3 45 71 22 9 75 50 50 99 93 32 53 69 2 80 7 27 15 19 27 56 62 28 30 73 19 28 7 46 3 21 44 36 72 59 43 33 99 28 82 50 62 40 4 84 4 84 29 81 30 34 68 39 64 19 33 70 67 72 13 78 5 10 47 68 99 37 54 28 68 84 52 25 96 81 51 87 6 91 43 95 59 6 46 15 28 80 12 96 67 72 22 89 7 6 32 44 30 26 66 59 53 97 92 85 86 71 28 23 8 24 37 39 21 73 1 1 90 89 77 3 38 74 71 94 9 74 71 91 66 39 26 53 29 63 55 4 75 85 6 46 10 25 38 20 35 94 29 98 51 94 31 61 52 64 87 40 11 6 25 35 38 82 12 85 22 76 99 98 20 86 79 71 12 2 40 94 17 51 74 86 31 88 49 37 54 83 28 40 13 31 52 63 56 83 89 6 35 45 84 44 89 18 43 55 14 13 20 7 82 25 98 80 59 1 75 73 71 81 98 22 15 80 87 32 15 55 30 68 36 17 88 20 88 92 52 93 16 28 30 14 75 65 72 85 6 59 43 20 49 2 53 21 17 69 18 56 65 55 43 26 91 61 85 90 92 7 59 27 18 95 54 41 32 54 23 80 45 2 11 70 76 50 99 87 19 43 45 55 4 30 95 34 26 98 73 88 82 22 43 92 20 40 4 49 73 43 98 2 66 78 25 63 52 35 60 3 d1 1901 d' 1212 d'' 1011 d2 524 The optimum objective value at d = d1 is:4195 Objective value of heuristic solution at d = d1 is:4195 Objective value of heuristic solution at d = d' is:6740 Objective value of heuristic solution at d = d'' is:9135 Instance No. 45 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 92 65 63 12 2 11 85 16 34 55 50 92 58 11 24 2 78 79 24 86 8 25 16 40 85 51 80 91 92 29 84 3 18 91 43 23 96 24 11 19 14 60 80 63 66 19 82 4 62 80 27 44 71 60 6 75 47 74 73 21 88 6 86 5 74 97 21 94 70 30 91 92 42 17 99 96 42 36 65 6 10 64 39 76 7 71 4 24 98 21 70 48 53 66 32 7 19 77 96 61 83 21 30 54 73 97 42 50 38 99 56 8 82 77 66 54 3 73 36 39 55 55 20 24 34 86 9 9 61 38 69 20 57 46 4 36 9 28 87 72 23 4 98 10 67 84 43 1 47 15 67 57 70 81 9 77 5 38 17 11 94 45 45 10 69 28 35 2 89 98 34 40 53 56 58 12 69 82 84 74 12 47 29 49 91 67 93 24 10 87 19 13 69 35 20 30 54 33 69 47 40 98 3 59 89 99 85 14 18 65 3 87 85 68 17 19 48 59 26 16 56 37 58 15 87 61 90 95 75 88 64 56 73 51 17 81 86 27 78 16 13 30 44 9 68 8 53 50 60 82 73 29 34 79 44 17 6 90 67 47 85 77 63 22 73 88 21 94 20 77 15 18 66 59 65 85 96 82 77 92 52 96 93 44 11 97 23 19 1 35 99 63 95 87 66 49 63 46 71 79 23 71 25 20 76 58 8 86 79 85 24 81 22 6 56 68 84 89 90 d1 2121 d' 1386 d'' 1612 d2 652 The optimum objective value at d = d1 is:3569 Objective value of heuristic solution at d = d1 is:3569 Objective value of heuristic solution at d = d' is:6084 Objective value of heuristic solution at d = d'' is:4746 Instance No. 46 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 15 58 28 18 42 72 49 52 39 9 51 79 7 11 59 2 96 71 47 41 26 59 21 8 24 86 77 72 45 54 15 3 18 96 24 37 20 99 17 60 66 79 86 60 46 54 27 4 3 74 97 19 79 95 39 36 75 18 34 90 97 42 56 5 88 86 60 23 90 34 53 84 56 23 73 29 61 30 20 6 84 32 42 68 43 81 48 12 59 30 10 64 15 30 66 7 64 76 10 57 13 32 84 24 7 18 42 56 50 37 14 8 91 24 16 9 70 75 67 76 91 12 76 3 10 58 50 9 29 77 38 80 18 78 25 17 29 61 17 90 60 72 6 10 80 36 68 18 34 62 5 71 17 35 98 71 77 94 54 11 59 7 78 57 26 65 90 64 8 11 88 48 74 9 71 12 96 59 57 14 5 26 15 5 90 23 99 81 55 52 88 13 61 9 18 72 68 56 85 64 35 84 76 11 5 29 37 14 89 66 27 13 99 90 22 42 66 98 98 61 85 57 10 15 5 99 73 27 13 38 46 72 81 30 33 45 14 14 4 16 73 39 92 24 39 95 97 43 83 61 36 91 60 31 26 17 40 92 54 54 43 65 90 15 33 17 27 34 88 61 95 18 24 99 82 37 63 69 26 27 83 65 8 19 72 69 72 19 32 39 64 3 99 56 53 19 79 73 57 55 60 69 70 20 71 59 18 54 17 19 90 58 87 8 53 89 51 44 10 d1 1980 d' 1282 d'' 754 d2 584 The optimum objective value at d = d1 is:2631 Objective value of heuristic solution at d = d1 is:2631 Objective value of heuristic solution at d = d' is:5613 Objective value of heuristic solution at d = d'' is:13188 Instance No. 47 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 38 95 53 44 70 79 29 92 25 53 40 64 82 47 51 2 35 68 96 57 54 29 21 26 62 36 86 21 33 21 28 3 60 93 27 34 92 72 14 19 35 3 63 60 1 87 97 4 65 95 86 71 67 69 19 24 81 78 2 27 10 77 7 5 15 73 90 51 76 4 82 59 53 70 72 10 86 86 60 6 3 2 81 34 59 11 55 14 13 86 4 76 57 88 90 7 55 66 64 31 53 74 15 28 95 63 15 63 38 9 58 8 63 10 68 91 98 51 53 89 16 60 8 26 20 23 30 9 68 32 58 7 57 46 48 77 2 40 91 13 36 9 58 10 66 97 53 79 77 56 34 59 23 23 9 58 73 8 27 11 37 26 55 71 3 32 3 1 1 96 12 16 13 22 95 12 19 30 93 38 99 68 47 16 4 31 7 3 36 55 15 13 46 77 2 43 80 97 14 13 39 37 4 16 79 10 9 14 18 56 91 17 6 22 18 92 80 59 25 13 91 6 12 15 88 87 62 60 9 99 33 12 86 1 73 3 21 94 46 16 29 24 23 72 82 90 44 49 3 58 90 40 82 71 97 17 3 27 38 63 2 94 85 63 79 94 34 19 34 16 78 18 68 89 23 68 85 30 20 9 26 86 61 24 97 8 6 19 48 49 8 7 40 84 86 78 68 60 34 1 4 97 60 20 25 41 77 72 30 16 85 64 91 53 19 32 23 17 8 d1 1880 d' 1181 d'' 879 d2 483 The optimum objective value at d = d1 is:2842 Objective value of heuristic solution at d = d1 is:2842 Objective value of heuristic solution at d = d' is:5398 Objective value of heuristic solution at d = d'' is:9323 Instance No. 48 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 7 94 19 61 33 15 37 56 53 28 13 50 39 69 45 2 55 17 86 33 42 92 75 90 97 41 54 88 45 8 69 3 49 23 15 33 21 50 65 28 16 69 25 90 40 88 24 4 10 74 94 99 31 86 15 48 58 84 80 86 40 82 50 5 10 40 84 3 22 11 51 46 35 81 23 89 33 11 6 6 60 43 40 57 74 3 6 25 20 40 82 31 30 99 40 7 15 81 80 87 2 1 7 77 18 49 32 54 26 29 81 8 90 28 19 3 50 56 40 43 35 28 60 96 1 21 5 9 73 28 86 50 68 50 8 81 25 70 15 21 55 25 46 10 65 81 84 12 23 34 29 78 36 42 54 94 38 34 51 11 99 95 93 79 17 34 1 83 16 9 43 7 79 16 27 12 62 8 93 74 65 59 67 69 5 77 35 7 34 35 64 13 7 98 9 62 72 15 75 9 19 4 74 91 38 57 74 14 62 9 31 65 19 87 5 99 86 92 97 84 17 45 19 15 92 64 13 34 52 69 23 42 65 53 77 29 56 78 54 16 68 83 13 79 50 90 88 16 54 15 34 95 28 21 46 17 52 67 53 51 97 63 82 78 20 94 26 18 85 68 97 18 16 83 32 77 63 88 89 24 73 25 11 62 37 88 87 19 44 22 71 27 59 43 87 81 39 84 51 35 17 62 1 20 65 43 96 89 23 34 90 32 58 9 46 82 24 38 20 d1 1939 d' 1242 d'' 1284 d2 545 The optimum objective value at d = d1 is:2960 Objective value of heuristic solution at d = d1 is:2960 Objective value of heuristic solution at d = d' is:5962 Objective value of heuristic solution at d = d'' is:5475 Instance No. 49 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 94 97 81 10 75 83 68 7 96 51 41 36 88 40 55 2 98 92 15 79 29 38 99 69 92 46 40 61 51 76 75 3 80 84 87 44 16 47 76 7 2 72 28 47 10 94 95 4 91 63 66 62 6 21 72 62 45 15 14 93 66 60 36 5 92 1 95 78 13 88 78 46 59 8 30 49 74 8 65 6 37 25 78 32 47 95 91 40 82 80 88 10 32 27 68 7 31 47 94 43 79 60 36 86 30 54 39 88 30 59 26 8 81 22 62 34 26 84 35 34 67 61 53 2 36 33 29 9 42 60 30 53 90 60 15 82 84 16 62 44 7 62 61 10 58 72 21 28 87 74 98 98 26 71 18 41 52 20 2 11 21 4 46 39 76 44 23 96 64 24 49 41 7 38 11 12 36 35 41 90 35 60 83 14 27 22 56 84 15 15 17 13 19 18 60 66 22 38 69 52 26 23 31 31 92 28 90 14 85 71 5 15 34 27 38 3 66 3 85 85 72 55 7 15 53 45 39 2 19 11 15 11 20 50 64 37 75 2 34 16 46 11 60 19 70 98 42 59 10 73 79 59 48 11 24 17 59 32 75 58 94 55 90 93 45 74 11 86 44 35 84 18 78 92 84 30 7 26 25 44 83 94 14 64 43 24 55 19 24 17 75 75 53 51 31 67 50 67 18 76 89 64 73 20 18 16 27 60 16 17 25 56 99 42 56 99 5 44 24 d1 1975 d' 1226 d'' 1600 d2 477 The optimum objective value at d = d1 is:3026 Objective value of heuristic solution at d = d1 is:3026 Objective value of heuristic solution at d = d' is:5552 Objective value of heuristic solution at d = d'' is:3287 Instance No. 50 Process times (at machines) Job M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 1 24 44 77 57 35 96 80 61 66 63 66 97 70 91 9 2 99 88 83 52 57 64 38 79 32 99 73 97 19 19 54 3 51 6 83 5 52 78 20 73 64 18 27 43 3 51 78 4 45 24 99 69 59 81 86 89 73 19 61 73 5 56 77 5 8 97 49 36 23 62 67 40 30 55 64 83 83 97 83 6 51 90 58 81 13 25 14 62 77 44 8 35 68 29 17 7 53 34 34 62 62 59 5 68 28 55 66 19 57 35 67 8 25 13 29 11 26 6 76 40 24 73 63 86 74 63 11 9 62 71 3 1 98 64 27 63 16 27 77 30 70 86 19 10 38 23 53 70 45 49 94 66 6 90 63 32 62 64 95 11 42 53 1 77 36 49 71 16 29 2 60 59 66 77 11 12 10 34 34 11 32 24 10 68 85 21 18 3 23 62 16 13 56 48 86 26 18 70 5 9 9 28 88 19 59 14 25 14 84 97 21 70 45 29 39 2 79 94 66 74 60 66 45 15 62 8 1 14 41 99 52 53 27 13 14 64 66 4 85 16 9 88 17 27 52 28 63 96 70 93 40 86 12 77 71 17 52 55 81 16 75 55 92 11 40 76 9 5 43 92 1 18 75 6 10 54 80 63 83 94 93 8 26 85 38 85 7 19 42 14 50 5 10 21 73 3 10 4 79 40 72 72 65 20 80 2 76 86 14 1 74 91 64 10 42 32 11 66 35 d1 1999 d' 1225 d'' 1981 d2 451 The optimum objective value at d = d1 is:2593 Objective value of heuristic solution at d = d1 is:2593 Objective value of heuristic solution at d = d' is:5371 Objective value of heuristic solution at d = d'' is:2593