Research Article

The Inertia Weight Updating Strategies in Particle Swarm Optimisation Based on the Beta Distribution

Table 3

The minimum values achieved at iteration and Min. is the problem solution.

CEC problem Min. RBRa RBrr AMPSO2 RBld sPSO BrBl

f1 −1400 −1400.00−1400.00 −1147.93 −1400.00 −1265.72 −1400.00
f2 −1300 222040.73 322300.27 1498763.45 130380.94 3959345.31 236444.51
f3 −1200 2136685.60 392088.96 1193329345.61 369651.03 331615655.13 6232942.40
f4 −1100 5620.73 5057.65 6101.20 4597.78 7088.07 5451.37
f5 −1000 −999.98 −1000.00 −943.64 −1000.00 −961.61 −999.97
f6 −900 −899.70 −899.84 −878.23 −899.57 −881.82 −899.94
f7 −800 −795.95 −797.12 −752.51 −794.56 −771.83 −788.15
f8 −700 −679.73 −679.75 −679.75 −679.78 −679.84 −679.73
f9 −600 −598.53 −597.77 −593.72 −597.54 −593.42 −599.29
f10 −500 −498.94 −499.44 −464.60 −499.36 −468.55 −498.81
f11 −400 −394.23 −395.61 −368.60 −395.74 −362.84 −395.99
f12 −300 −283.02 −292.15 −252.46 −292.11 −258.93 −286.85
f13 −200 −182.06 −183.29 −147.10 −188.58 −148.35 −179.85
f14 −100 −43.56 116.03 199.00 73.64 1221.41 25.31
f15 100 1366.48 859.64 1416.16 834.71 1331.53 505.67
f16 200 201.00 200.58 200.73 200.87 200.89 200.40
f17 300 327.16 322.55 366.99 323.63 365.88 318.69
f18 400 446.89 438.03 473.89 435.77 482.47 433.20
f19 500 501.16 501.02 508.15 500.75 505.62 500.55
f20 600 602.94 602.78 603.07 602.86 603.40 602.98
f21 700 803.41 800.72 1080.72 800.49 1053.29 801.40
f22 800 1107.86 1009.20 1318.77 870.95 2022.70 1003.78
f23 900 1580.41 1796.86 2286.08 1740.24 2546.45 1514.33
f24 1000 1137.37 1144.17 1175.66 1130.14 1172.10 1135.56
f25 1100 1305.98 1305.48 1315.70 1303.40 1319.22 1257.89
f26 1200 1321.41 1321.35 1347.29 1311.11 1357.60 1308.38
f27 1300 1646.86 1641.18 1799.34 1659.35 1776.92 1637.37
f28 1400 1503.26 1500.31 1692.99 1500.23 1667.17 1500.63