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