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Table 3 J values and computational time for the global optimization methods in Case Study 1

From: Biochemical systems identification by a random drift particle swarm optimization approach

Results for the Experiments (simulations) with Noise-free Data

Algorithms

RDPSO

SS method

( μ, λ )-ES

PSO

DE

( μ+ λ )-ES

Best Value of J

1.3740e-14

0.3930

301.9941

3.4461e-005

258.892

339.4941

Mean Value of J

2.5845e-004

0.5703

2.8522e+06

0.0225

2.3197e+03

1.9103e+06

Standard Deviation of J

3.5978e-04

0.1348

2.2673e+06

0.0183

704.7776

2.2118e+06

CPU time(h)

0.0347

--

0.0419

0.0330

0.0353

0.0419

Results for the Experiments (simulations) with Noisy Data

Algorithms

RDPSO

SS method

( μ , λ )-ES

PSO

DE

( μ + λ )-ES

Best Value of J

0.2023

0.7195

388.9242

0.2028

1.0273e+003

52.4817

Mean Value of J

0.2026

0.8361

2.1952e+05

0.2083

2.5488e+003

8.2498e+05

Standard Deviation of J

4.2918e-04

0.0743

3.2308e+05

0.0126

5393.6832

1.6245e+06

CPU time(h)

0.0349

--

0.0423

0.0338

0.0351

0.0422