Research Article

Algorithmic Mechanism Design of Evolutionary Computation

Table 9

Number of function calls (NFC in (11)), success rate (SR in (12)), acceleration rate (AR in (13)), and fitness value to reach (VTR in (10)) of 30D benchmark function.
(a)

FunctionDE-bestDE-randjDE-bestjDE-randBest-
NFCSRNFCSRARNFCSRARNFCSRARNFCSRAR

290030.03300000.000.9742880.86115.7242970.86109.95240170.2075.77
220100.27210200.3043.661540.99281.161560.99271.54190220.37154.49
250030.17260000.130.9622090.93181.6322100.93178.42250030.1713.74
240070.20210280.3044.542100.99207.1234030.89236.47191440.36101.97
270020.10280110.074.0362530.79113.7562530.79113.75250070.1778.45
290000.03280030.0712.4641980.86232.6242010.86222.27160220.47342.51
270010.10280000.070.9661430.80193.4561450.80192.85220150.27148.07
270020.10270070.1025.0055740.8151.1260920.8051.65260080.1359.45
300000.00290050.037.6352900.8298.6352890.8299.09240180.20110.52
280000.07280000.071.0083060.7298.6283130.7284.73250080.1742.56
300000.00290070.035.7339450.8749.7739670.8747.05300000.001.00
290030.03290030.0312.0414280.9583.8014330.9581.82270080.1057.53
250030.17270000.100.9311360.96343.7511360.96343.75130200.57432.51
300000.00300000.001.0055020.8238.6363910.7938.28270100.1049.23

Average27288.140.0927220.290.0911.493902.570.87149.274234.710.86147.9723021.570.23119.13

(b)

FunctionRand-Best-CrRand-CrMutationMixture
NFCSRARNFCSRARNFCSRARNFCSRARNFCSRAR

220430.2768.0882700.7277.9334820.8867.51290030.0312.0453160.8299.79
160420.47147.3241660.86208.8012390.96163.57180340.4092.1431570.89264.24
180370.4085.9622820.92164.6022910.92119.83240030.2058.5852690.82148.67
150970.50103.8643010.86229.624400.99139.78180460.4083.7541740.86244.87
270070.107.8153930.82110.2414710.9569.04280050.070.9469450.7783.91
80740.73298.0292130.6998.2423140.92125.94290000.031.0061990.79207.02
240120.2067.4953520.82117.6613350.96124.71270020.1018.7952410.83141.25
220680.2631.4539560.8744.3620430.9349.22280140.073.3624420.9255.25
270150.1021.46103260.6653.7626520.9163.02300000.001.0024770.9281.18
200450.3355.2653810.8285.145900.9887.82270040.109.8963460.79128.95
290010.0334.3046240.8526.5118550.9429.82300000.001.0012550.9671.54
260340.1328.1873940.7570.5124700.9267.68290010.0334.2724710.9269.65
70590.76330.9462090.79240.1913830.95266.84260020.1319.4112000.96286.63
270330.1010.8546650.8436.5540500.8722.36300000.001.0035100.8830.67

Average20611.930.3192.215823.710.80111.721972.500.9399.79266510.1124.084000.140.86136.68