Research Article

An Indicator and Decomposition Based Steady-State Evolutionary Algorithm for Many-Objective Optimization

Table 2

Statistical results (mean values and standard deviations) of values obtained by each algorithm on the DTLZ1, DTLZ2, DTLZ3, and DTLZ4 test instances. Best performance is shown in bold. +, , and − denote that TS-R2EA performs significantly better than, equivalent to, and worse than the compared algorithm, respectively.

-MOEA/D MOMBI-II DBEA MOEA/D-PBI MOEA/DD

DTLZ1
3(400)
5(600)
8(750)
10(1000)
15(1500)

DTLZ2
3(250)
5(350)
8(500)
10(750)
15(1000)

DTLZ3
3(1000)
5(1000)
8(1000)
10(1500)
15(2000)

DTLZ4
3(600)
5(1000)
8(1250)
10(2000)
15(3000)