Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Choice of configuration for the best result (Source: Own elaboration)
| Experiment | B01 | B02 | B03 | B04 | B05 | B06 | B07 | Objective |
|---|---|---|---|---|---|---|---|---|
| 7 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3884 |
| 12 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3884 |
| 13 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 3884 |
| 15 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 3884 |
| 17 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3884 |
| 18 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 3884 |
| 20 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 3884 |
| 22 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3884 |
| 23 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 3884 |
| 24 | 4 | 4 | 6 | 6 | 40 | 52 | 96 | 3884 |
| 25 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 3884 |
Buffer capacity (Source: Own elaboration)
| Buffer | Capacity (pcs) |
|---|---|
| B01–B04 | 12 |
| B05–B07 | 120 |
Processing times and machine capacities (Source: Own elaboration)
| Station | Processing time (min) | Capacity (pcs) |
|---|---|---|
| A010 | 1:00 | 1 |
| A020 | 10:00 | 12 |
| A021 | 15:00 | 12 |
| A022 | 15:00 | 12 |
| A023 | 15:00 | 12 |
| A024 | 15:00 | 12 |
| A030 | 15:00 | 12 |
| A031 | 15:00 | 12 |
| A032 | 15:00 | 12 |
| A033 | 15:00 | 12 |
| A034 | 20:00 | 12 |
| A040 | 6:00 | 12 |
| A050 | 70:00 | 120 |
| A060 | 80:00 | 120 |
| A070 | 90:00 | 120 |
Experiments’ results (Source: Own elaboration)
| Experiment | Number of generation | Size of generation | Objective | Buffer Capacity (decision variable) | Running Time [sec] | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| B01 | B02 | B03 | B04 | B05 | B06 | B07 | |||||
| 1 | 10 | 10 | 3856 | 2 | 6 | 4 | 8 | 86 | 46 | 48 | 62.3600 |
| 2 | 10 | 20 | 3872 | 4 | 2 | 2 | 6 | 46 | 76 | 18 | 132.3470 |
| 3 | 10 | 30 | 3858 | 4 | 2 | 4 | 4 | 32 | 52 | 10 | 192.9880 |
| 4 | 10 | 40 | 3878 | 2 | 4 | 2 | 8 | 42 | 52 | 96 | 252.0650 |
| 5 | 10 | 50 | 3870 | 2 | 4 | 2 | 8 | 52 | 56 | 26 | 330.5180 |
| 6 | 20 | 10 | 3868 | 2 | 6 | 4 | 8 | 36 | 76 | 48 | 126.0200 |
| 7 | 20 | 20 | 3884 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 270.6860 |
| 8 | 20 | 30 | 3882 | 4 | 2 | 2 | 4 | 30 | 52 | 10 | 395.2270 |
| 9 | 20 | 40 | 3878 | 2 | 4 | 2 | 8 | 42 | 52 | 96 | 525.5250 |
| 10 | 20 | 50 | 3880 | 2 | 4 | 2 | 8 | 52 | 56 | 16 | 656.1800 |
| 11 | 30 | 10 | 3868 | 2 | 6 | 4 | 8 | 36 | 76 | 48 | 199.4670 |
| 12 | 30 | 20 | 3884 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 409.8080 |
| 13 | 30 | 30 | 3884 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 604.6260 |
| 14 | 30 | 40 | 3882 | 4 | 4 | 6 | 6 | 38 | 52 | 96 | 781.3120 |
| 15 | 30 | 50 | 3884 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 937.6590 |
| 16 | 40 | 10 | 3878 | 2 | 4 | 4 | 8 | 38 | 76 | 48 | 276.7950 |
| 17 | 40 | 20 | 3884 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 549.0040 |
| 18 | 40 | 30 | 3884 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 794.0870 |
| 19 | 40 | 40 | 3882 | 4 | 4 | 6 | 6 | 38 | 52 | 96 | 1052.9440 |
| 20 | 40 | 50 | 3884 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 1287.4260 |
| 21 | 50 | 10 | 3878 | 2 | 4 | 4 | 8 | 38 | 76 | 48 | 347.1970 |
| 22 | 50 | 20 | 3884 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 693.6270 |
| 23 | 50 | 30 | 3884 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 980.5960 |
| 24 | 50 | 40 | 3884 | 4 | 4 | 6 | 6 | 40 | 52 | 96 | 1270.5940 |
| 25 | 50 | 50 | 3884 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 1538.1840 |
Number of products manufactured during the assumed period (Source: Own elaboration)
| Variant | B01 | B02 | B03 | B04 | B05 | B06 | B07 | Objective |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3448 |
| 2 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 3502 |
| 3 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 3504 |
| 4 | 4 | 4 | 6 | 6 | 40 | 52 | 96 | 3420 |
Percentage distribution of manufactured products (Source: Own elaboration)
| Product | Portion (%) |
|---|---|
| 1.5 | 40 |
| 1.6 | 55 |
| 1.67 | 5 |
Constraints imposed on decision variables (Source: Own elaboration)
| Buffer | Lower bound | Upper bound | Step |
|---|---|---|---|
| B01–B04 | 2 | 12 | 2 |
| B05–B07 | 2 | 120 | 2 |
Reduction of configuration for the best result (Source: Own elaboration)
| Variant | B01 | B02 | B03 | B04 | B05 | B06 | B07 | Objective |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 | 2 | 2 | 6 | 46 | 76 | 24 | 3884 |
| 2 | 4 | 2 | 2 | 4 | 30 | 52 | 24 | 3884 |
| 3 | 2 | 4 | 2 | 8 | 52 | 52 | 16 | 3884 |
| 4 | 4 | 4 | 6 | 6 | 40 | 52 | 96 | 3884 |