CEC2017函数总结

Definitions of the Basic Functions1) Bent Cigar Function单峰 边界： 最优值02) Sum of Different Power Function单峰，对称 界限：-100,100d 最优值：03) Zakharov Function单峰 边界：，最优值：04) Rosenbrocks Function最优解为0，分布在X=1,1,1,1处。界限：多峰，有最大局部极值5) Rastrigins Function多峰，局部最优值较大，次优值与全局最优值相差很大。 界限：，最优值06) Expanded Schaffers F6 Function多峰7) Lunacek bi-Rastrigin Function多峰，处处连续，处处可微 边界-5,5d8) Non-continuous Rotated Rastrigins FunctionWhere ：a diagonal matrix in D dimensions with the ith diagonal element as , i=1,2,D.多峰9) Levy Function 多峰 界限：-10,10d，最优值：0，坐标：x*=(1,1)10) Modified Schwefels Function多峰，有很多局部最优值，次优值与全局最优值相差很大11) High Conditioned Elliptic Function单峰12) Discus Function多维单峰函数13) Ackleys Function多峰 界限：，最优值：0，坐标：(0,0)14) Weierstrass Function多峰，连续但仅在一组点上可微15) Griewanks Function多峰，边界，最优值0，坐标：(0,0)16) Katsuura Function多峰17) HappyCat Function多峰18) HGBat Function多峰19) Expanded Griewanks plus Rosenbrocks Function多峰20) Schaffers F7 Function多峰，有大量局部极值Summary of the CEC17 Test FunctionsA. Unimodal Functions1) Shifted and Rotated Bent CigarF*=1002）Shifted and Rotated Sum of Different Power FunctionF*=2003）Shifted and Rotated Zakharov FunctionF*=3004）Shifted and Rotated Rosenbrocks FunctionF*=4005）Shifted and Rotated Rastrigins FunctionF*=5006）Shifted and Rotated Schaffers F7 FunctionF*=6007）Shifted and Rotated Lunacek Bi-Rastrigins FunctionF*=7008）Shifted and Rotated Non-Continuous Rastrigins FunctionF*=8009）Shifted and Rotated Levy FunctionF*=90010）Shifted and Rotated Schwefels FunctionF*=1000混合函数N:基本函数的数量P:用于控制gi(x)所占的比例，11）Hybrid Function 112）Hybrid Function 213）Hybrid Function 314）Hybrid Function 415）Hybrid Function 516）Hybrid Function 617）Hybrid Function 718）Hybrid Function 819）Hybrid Function 920）Hybrid Function 10符合函数oi:每个函数新的最优移动位置，定义了全局和局部最优位置bisasi：定义全局最优值:控制所选函数的覆盖范围21）Composition Function 1多模22）Composition Function 2多模23）Composition Function 3 24）Composition Function 4 25）Composition Function 5 26）Composition Function 6 27）