Improvement of Eyeglass Lens Production Using Simulation Modeling and Dynamic Buffer Optimization
Publié en ligne: 18 déc. 2021
Pages: 195 - 208
© 2021 Daria Brun et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Figure 1
Production line with buffers (Source: Own elaboration)Figure 2
Iterative process of the optimization (Source: Own elaboration)Figure 3
The process of curing eyeglass lenses (Source: Own elaboration)Figure 4
Simulation model of the curing process of spectacle lenses (Source: Own elaboration)Figure 5
Experiments’ results (Source: Own elaboration)Figure 6
Percentage increase of the number of manufactured products as optimization results (Source: Own elaboration)Figure 7
Efficiency graph for number of generations 20 and generation size 20 (Source: Own elaboration)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 |