g$05$

Minimize The following function using harmony algorithm

$f(vec(x))=3x_1+0\mathrm{.}000001x_1^3+2x_2+(\frac{0\mathrm{.}000002}{3})x_2^3$

Subject to:

$g_1(vec(x))=-x_4+x_3-0\mathrm{.}550$

$g_2(vec(x))=-x_3+x_4-0\mathrm{.}550$

$h_3(vec(x))=1000sin(-x_3-0\mathrm{.}25)+1000sin(-x_4-0\mathrm{.}25)$

$+894\mathrm{.}8-x_1=0$

$h_4(vec(x))=1000sin(x_3-0\mathrm{.}25)+1000sin(x_3-x_4-0\mathrm{.}25)$

$+894\mathrm{.}8-x_2=0$

$h_5(vec(x))=1000sin(x_4-0\mathrm{.}25)+1000sin(x_4-x_3-0\mathrm{.}25)$

$+1294\mathrm{.}8=0$

where $0x_{1}1200,0x_{2}1200,-0\mathrm{.}55x_3\frac{0\mathrm{.}5}{b}ar(5)$ and $-0\mathrm{.}55x_{4}0\mathrm{.}55.$ The best known solution is $04691,0\mathrm{.}118876369094410433,-0\mathrm{.}39623348521517826.$ where $f(x^{**})=5126\mathrm{.}4967140071.$