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Table 4 Results found by parallel GA-MR and parallel GA-TPC over 25 independent runs

From: Nonuniform antenna array design by parallelizing three-parent crossover genetic algorithm

Algorithm

Parallel GA-MR

Parallel GA-TPC

U test

f(·)

med

std

med

std

p value

f 1

0.00

0.00

0.00

0.00

N/A a

f 2

4.92E −05

1.43E −07

0.00

0.00

8.66E −05

f 3

0.00

0.00

0.00

0.00

N/A a

f 4

5.60E −08

8.93E −05

0.00

0.00

5.25E −05

f 5

9.90E + 14

9.54E + 13

1.49E + 12

1.68E + 13

0.3077

f 6

7.29E + 00

1.96E + 01

6.43E + 00

1.88E + 01

0.2072

f 7

4.05E + 00

2.86E + 00

4.97E + 00

3.22E + 00

0.0644

f 8

2.08E −01

1.36E −01

9.07E −02

5.13E −02

0.0130

f 9

0.00

0.00

0.00

0.00

N/A a

f 10

2.02E −06

5.47E −01

0.00E + 00

2.31E −01

0.0379

  1. aN/A: hypothesis test is not available as algorithms have the same median values
  2. Median and standard deviation are respectively abbreviated as med and std