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. 2021 May 30;38(Suppl 4):2739–2777. doi: 10.1007/s00366-021-01409-4

Table 6.

Fixed dimension test function

FD test function Name Dim Limit fmin
f14(y)=1500+j=1251j+i=1n(yi-aij)6-1 Shekel foxhole Function 2 [− 65.536, 65.536] 1
f15(y)=i=111ai-y1bi2+biy2bi2+biy3+y42 Brad function 4 [− 5, 5] 0.00030
f16(y)=4y12-2.1y14+13y16+y1y2-4y22+4y24 Camel function—six hump 2 [− 5, 5] − 1.0316
f17(y)=y2-5.14π2y12+5πy1-62+101-18πcosy1+10 Branin RCOS function 2 [− 5, 5] 0.398
f18(y)=1+(y1+y2+1)219-14y1+3y12-14y2+6y1y2+3y22×30+2y1-3y22×18-32y1+12y12+48y2-36y1y2+27y22 Goldstein-price function 2 [− 2, 2] 3
f19(y)=-i=14ciexp-j=13aij(yj-qij)2 Hartman 3 function 3 [1, 3] − 3.32
f20(y)=-i=14ciexp-j=16aij(yj-qij)2 Hartman 6 function 6 [0, 1] − 3.32
f21(y)=-i=15(y-ai)(y-ai)T+di-1 Hybrid composition function #1 4 [0, 10] − 10.1532
f22(y)=-i=17(y-ai)(y-ai)T+di-1 Hybrid composition function #2 4 [0, 10] − 10.4028
f23(y)=-i=110(y-ai)(y-ai)T+di-1 Hybrid composition function #3 4 [0, 10] − 10.5363