Table 3 Results of solving benchmark rALB problems.
From: Optimization of time and energy in straight one-sided robotic assembly lines
Problem number | No. of tasks | No. of robots (stations) | 1st variant (rALB-I) | 2nd variant (rALB-II) | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
CPLEX 6 | Hybrid GA 6 | Split algorithm 4 | Split algorithm 4 | CS-PSO 8 | PSO 8 | BHEDA 15 | Proposed model | |||
(I) | (II) | (III) | (IV) | (V) | (VI) | (VII) | (VIII) | (IX) | (X) | (XI) |
1 | 25 | 6 | 200 | 213 | 213 | 194 | 200 | 221 | 194.25 | 194 |
2 | 35 | 4 | 341 | 449 | 450 | 341 | 341 | 341 | – | 321 |
3 | 5 | 329 | 344 | 344 | 329 | 332 | 357 | 328.2 | 329 | |
4 | 7 | 201 | 222 | 222 | 201 | 211 | 226 | – | 201 | |
5 | 12 | 106 | 113 | 112 | 93 | 103 | 105 | 97.03 | 98 | |
6 | 53 | 5 | 449 | 554 | 554 | 449 | 449 | 454 | 412 | 412 |
7 | 10 | 221 | 230 | 230 | 203 | 221 | 224 | 216.05 | 218 | |
8 | 14 | 142 | 162 | 158 | 134 | 142 | 146 | – | 134 | |
9 | 70 | 7 | 394 | 449 | 451 | N/A | 430 | 446 | – | 419 |
10 | 10 | 245 | 272 | 271 | N/A | 264 | 259 | – | 252 | |
11 | 14 | N/A | 204 | 199 | N/A | 194 | 194 | 174 | 170 | |
12 | 19 | N/A | 154 | 151 | N/A | 140 | 139 | 122.13 | 121 | |
13 | 89 | 8 | N/A | 494 | N/A | N/A | 460 | 464 | – | 450 |
14 | 12 | N/A | 370 | N/A | N/A | 320 | 317 | 300.31 | 305 | |
15 | 21 | N/A | 205 | N/A | N/A | 219 | 219 | – | 180 | |
16 | 297 | 29 | N/A | 430 | N/A | N/A | 394 | 428 | – | 370 |
17 | 38 | N/A | 344 | N/A | N/A | 305 | 295 | 256.31 | 290 | |