Research Article

An Improved Real-Coded Population-Based Extremal Optimization Method for Continuous Unconstrained Optimization Problems

Table 3

Comparative performances of IRPEO with PEO-EO, PSO, PEO, and GA [22] for test functions.

ProblemsOptimumAlgorithm (rank) (rank) (rank)SD (rank)Final rank

−9.66 (min)IRPEO−9.66 −9.66 −9.66    1
PEO-EO [22]−9.66 (1)−9.66 (1)−9.66 (1) (2)2
PSO [22]−9.66 (1)−9.52 (5)−9.06 (5)0.17 (5)5
GA [22]−9.66 (1)−9.62 (3)−9.50 (3)0.06 (4)3
PEO [22]−9.61 (5)−9.55 (4)−9.50 (3)0.03 (3)4

−12569.5 (min)IRPEO−12569.5 −12569.5 −12569.4    1
PEO-EO [22]−12569.5 (1)−12568.0 (2)−12562.6 (2)2.01 (2)2
PSO [22]−9577.7 (5)−10139.3 (4)−11026.2 (4)625.7 (5)4
GA [22]−9549.3 (4)−8846.0 (5)−8404.5 (5)481.0 (4)5
PEO [22]−12214.2 (3)−12083.3 (3)−11977.3 (3)90.3 (3)3