Research Article
The Inertia Weight Updating Strategies in Particle Swarm Optimisation Based on the Beta Distribution
Table 2
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 | −1400.00 | −1400.00 | −1400.00 | −1400.00 | f2 | −1300 | 31802.55 | 10719.58 | 204814.76 | 20573.61 | 51187.06 | 18609.16 | f3 | −1200 | −1199.74 | −1199.95 | 17054.84 | −1199.82 | −1199.96 | −1199.95 | f4 | −1100 | −964.04 | −947.26 | 576.38 | −981.92 | −913.96 | −388.49 | f5 | −1000 | −1000.00 | −1000.00 | −1000.00 | −1000.00 | −1000.00 | −1000.00 | f6 | −900 | −899.93 | −899.99 | −899.51 | −899.81 | −899.76 | −900.00 | f7 | −800 | −799.96 | −799.32 | −798.57 | −799.92 | −799.95 | −798.90 | f8 | −700 | −679.83 | −679.80 | −679.79 | −679.78 | −679.84 | −679.94 | f9 | −600 | −599.25 | −599.23 | −599.25 | −598.43 | −599.43 | −599.37 | f10 | −500 | −499.93 | −499.95 | −499.82 | −499.91 | −499.91 | −499.94 | f11 | −400 | −400.00 | −400.00 | −397.56 | −399.01 | −400.00 | −400.00 | f12 | −300 | −295.03 | −294.03 | −284.82 | −293.04 | −295.03 | −295.03 | f13 | −200 | −193.73 | −193.73 | −182.54 | −193.04 | −197.16 | −192.22 | f14 | −100 | −96.40 | −96.40 | −40.45 | −93.11 | −93.05 | −93.12 | f15 | 100 | 243.94 | 382.90 | 624.16 | 343.59 | 463.56 | 295.58 | f16 | 200 | 200.70 | 200.24 | 200.38 | 200.47 | 200.58 | 200.10 | f17 | 300 | 303.29 | 301.60 | 324.08 | 302.45 | 304.34 | 301.11 | f18 | 400 | 414.78 | 413.57 | 433.38 | 414.77 | 415.52 | 414.11 | f19 | 500 | 500.04 | 500.07 | 500.89 | 500.19 | 500.31 | 500.14 | f20 | 600 | 601.96 | 601.94 | 602.44 | 602.03 | 601.81 | 602.11 | f21 | 700 | 800.00 | 800.00 | 800.03 | 800.00 | 700.00 | 800.00 | f22 | 800 | 829.38 | 823.36 | 925.66 | 829.06 | 830.92 | 821.09 | f23 | 900 | 1149.35 | 1080.55 | 1613.80 | 1127.72 | 1181.06 | 1338.13 | f24 | 1000 | 1109.13 | 1114.66 | 1125.87 | 1112.24 | 1136.31 | 1109.72 | f25 | 1100 | 1301.93 | 1303.37 | 1302.83 | 1302.10 | 1301.53 | 1213.63 | f26 | 1200 | 1307.96 | 1305.97 | 1321.06 | 1306.97 | 1308.95 | 1304.98 | f27 | 1300 | 1615.16 | 1622.81 | 1658.37 | 1636.13 | 1607.02 | 1603.81 | f28 | 1400 | 1500.00 | 1500.00 | 1500.01 | 1500.00 | 1500.00 | 1500.00 |
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