Research Article
Conceptual Comparison of Population Based Metaheuristics for Engineering Problems
Table 3
Welded beam problem: comparison of GDE3 results with other optimization methods.
| Researcher | Metaheuristic | | | | | | NE |
| [10] | Genetic algorithm | 0.2489 | 6.1730 | 8.1789 | 0.2533 | 2.4331 | 320,080 | [11] | Genetic algorithm | 0.2489 | 6.1097 | 8.2484 | 0.2485 | 2.4000 | 6,273 | [12] | Social behavioral model | 0.2407 | 6.4851 | 8.2399 | 0.2497 | 2.4426 | 19,259 | [13] | Society and civilization algorithm | 0.2444 | 6.2380 | 8.2886 | 0.2446 | 2.3854 | 33,095 | [14] | Genetic algorithm | 0.2443 | 6.2117 | 8.3015 | 0.2443 | 2.3816 | 320,000 | [15] | Particle swarm optimization | 0.2444 | 6.2175 | 8.2915 | 0.2444 | 2.3810 | 30,000 | [16] | Harmonic search | 0.2442 | 6.2231 | 8.2915 | 0.2443 | 2.3810 | 110,000 | [17] | Simulated annealing—direct search | 0.2444 | 6.2158 | 8.2939 | 0.2444 | 2.3811 | 56,243 | [18] | Simulated annealing—genetic algorithm | 0.2231 | 1.5815 | 12.8468 | 0.2245 | 2.2500 | 26,466 | [19] | Artificial Immune System—genetic algorithm | 0.2444 | 6.2183 | 8.2912 | 0.2444 | 2.3812 | 320,000 | [20] | Harmonic search | 0.2057 | 3.4705 | 9.0366 | 0.2057 | 1.7248 | 200,000 | [21] | Simple constrained particle swarm optimizer | 0.2057 | 3.4705 | 9.0366 | 0.2057 | 1.7249 | 24,000 | [22] | Harmonic search—sequential quadratic programming | 0.2057 | 3.4706 | 9.0368 | 0.2057 | 1.7248 | 90,000 | [23] | Differential evolution | 0.2444 | 6.2175 | 8.2915 | 0.2444 | 2.3810 | 24,000 | [8] | Evolutionary algorithm | 0.2443 | 6.2201 | 8.2940 | 0.2444 | 2.3816 | 28,897 | [1] | Firefly algorithm | 0.2015 | 3.5620 | 9.0414 | 0.2057 | 1.7312 | 50,000 | [24] | Simple optimization | 0.2057 | 3.4705 | 9.0366 | 0.2057 | 1.7246 | 10,000 | Present study | Generalized differential evolution 3 | 0.2057 | 3.4707 | 9.0366 | 0.2057 | 1.724849 | 10,000 |
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