A New Biobjective Model to Optimize Integrated Redundancy Allocation and Reliability-Centered Maintenance Problems in a System Using Metaheuristics

Table 5

Mean and standard deviation of the metrics for the different sizes of the test problems.

Problem size

Time (seconds)

NNS

DM

MS

NSGA-II

MOPSO

MOFA

NSGA-II

MOPSO

MOFA

NSGA-II

MOPSO

MOFA

NSGA-II

MOPSO

MOFA

Small

1.91; (0.26)

0.78; (0.23)

3.50; (1.16)

22.9; (13.54)

12.3; (3.45)

3.3; (1.26)

55.35; (30.22)

60.69; (20.54)

22.60; (11.72)

0.01493; (0.0257)

0.07999; (0.0542)

0.04230; (0.0376)

Medium

2.59; (0.21)

1.45; (0.46)

6.99; (2.05)

12.85; (5.60)

11.90; (3.80)

3.85; (1.14)

39.02; (17.32)

65.79; (23.50)

28.65; (12.71)

0.0238; (0.0367)

0.1562; (0.2004)

0.0482; (0.0303)

Large

31.49; (6.91)

22.35; (9.36)

91.25; (25.48)

15.60; (6.22)

12.84; (4.19)

4.11; (1.49)

51.35; (25.77)

97.44; (30.93)

34.35; (13.81)

0.00419; (0.0048)

0.14625; (0.0285)

0.07408; (0.0418)

Numbers in the parentheses are standard deviation.