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
f15100 243.94 382.90 624.16 343.59 463.56 295.58
f16200 200.70 200.24 200.38 200.47 200.58 200.10
f17300 303.29 301.60 324.08 302.45 304.34 301.11
f18400 414.78 413.57 433.38 414.77 415.52 414.11
f19500 500.04 500.07 500.89 500.19 500.31 500.14
f20600 601.96 601.94 602.44 602.03 601.81 602.11
f21700 800.00 800.00 800.03 800.00 700.00 800.00
f22800 829.38 823.36 925.66 829.06 830.92 821.09
f23900 1149.35 1080.55 1613.80 1127.72 1181.06 1338.13
f241000 1109.13 1114.66 1125.87 1112.24 1136.31 1109.72
f251100 1301.93 1303.37 1302.83 1302.10 1301.53 1213.63
f261200 1307.96 1305.97 1321.06 1306.97 1308.95 1304.98
f271300 1615.16 1622.81 1658.37 1636.13 1607.02 1603.81
f281400 1500.001500.00 1500.01 1500.001500.001500.00