Research Article
Application of an Intelligent Hybrid Metaheuristic Algorithm for Multiobjective Redundancy Allocation Problem with Sustainable Maintenance
Table 3
The results of implementing test problems.
| Test problem | Number of Pareto solutions | Average of the first objective | Average of the second objective |
| p1 | 47 | 4.63E − 08 | 7778 | p2 | 50 | 1.90E − 07 | 10418 | p3 | 43 | 4.44E − 07 | 11685 | p4 | 47 | 4.00E − 08 | 7806 | p5 | 50 | 1.53E − 07 | 10012 | p6 | 50 | 4.35E − 07 | 11987 | p7 | 50 | 3.68E − 08 | 7400 | p8 | 50 | 1.17E − 07 | 9065 | p9 | 47 | 3.98E − 07 | 11974 | p10 | 49 | 0.01662008 | 8835 | p11 | 48 | 0.03045951 | 9929 | p12 | 49 | 0.072815946 | 13343 | p13 | 49 | 0.013728675 | 8404 | p14 | 48 | 0.037327078 | 11058 | p15 | 48 | 0.063445359 | 12667 | p16 | 48 | 0.010736866 | 7748 | p17 | 47 | 0.026810576 | 9781 | p18 | 50 | 0.053703995 | 12076 | p19 | 50 | 0.226867023 | 8415 | p20 | 50 | 0.355636589 | 10608 | p21 | 48 | 0.476344384 | 13027 | p22 | 49 | 0.199889028 | 7810 | p23 | 49 | 0.323638156 | 9890 | p24 | 49 | 0.449719356 | 12334 | p25 | 50 | 0.212840018 | 8075 | p26 | 50 | 0.315307874 | 9771 | p27 | 45 | 0.42569378 | 11862 | p28 | 45 | 4.10E − 13 | 7575 | p29 | 47 | 1.71E − 12 | 10087 | p30 | 50 | 4.54E − 12 | 12018 | p31 | 50 | 3.73E − 13 | 7751 | p32 | 48 | 1.35E − 12 | 9494 | p33 | 45 | 4.38E − 12 | 12209 | p34 | 49 | 3.63E − 13 | 7710 | p35 | 45 | 1.20E − 12 | 9478 | p36 | 49 | 3.00E − 12 | 10554 | p37 | 50 | 0.00017731 | 8309 | p38 | 47 | 0.000592272 | 10591 | p39 | 50 | 0.001369745 | 12721 | p40 | 50 | 0.000179898 | 8621 | p41 | 46 | 0.000445769 | 9745 | p42 | 46 | 0.001063624 | 11771 | p43 | 46 | 0.000103981 | 7192 | p44 | 50 | 0.000419827 | 9963 | p45 | 49 | 0.001049651 | 11854 | p46 | 48 | 0.03452181 | 8191 | p47 | 47 | 0.081674209 | 10598 | p48 | 47 | 0.152745337 | 13447 | p49 | 47 | 0.031635127 | 7964 | p50 | 50 | 0.060361023 | 9335 | p51 | 50 | 0.133430003 | 12419 | p52 | 47 | 0.031239782 | 7892 | p53 | 47 | 0.065909873 | 9920 | p54 | 45 | 0.130330611 | 12522 | p55 | 50 | 3.64E − 18 | 7555 | p56 | 49 | 1.37E − 17 | 9683 | p57 | 46 | 4.26E − 17 | 12421 | p58 | 49 | 3.18E − 18 | 7753 | p59 | 48 | 1.18E − 17 | 9760 | p60 | 46 | 3.71E − 17 | 12045 | p61 | 47 | 3.12E − 18 | 7544 | p62 | 50 | 8.92E − 18 | 9106 | p63 | 47 | 2.76E − 17 | 11049 | p64 | 47 | 1.13E − 06 | 7768 | p65 | 50 | 3.99E − 06 | 9129 | p66 | 50 | 1.37E − 05 | 12406 | p67 | 50 | 1.32E − 06 | 8025 | p68 | 45 | 3.78E − 06 | 9788 | p69 | 50 | 1.11E − 05 | 12303 | p70 | 49 | 9.25E − 07 | 7256 | p71 | 47 | 3.75E − 06 | 9945 | p72 | 46 | 9.68E − 06 | 11952 | p73 | 50 | 0.002756355 | 7505 | p74 | 47 | 0.009871848 | 10485 | p75 | 49 | 0.021730016 | 13178 | p76 | 50 | 0.002644596 | 7776 | p77 | 48 | 0.007916174 | 9692 | p78 | 47 | 0.01986529 | 12681 | p79 | 50 | 0.002472504 | 7409 | p80 | 50 | 0.00670114 | 9371 | p81 | 50 | 0.017636415 | 12516 |
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