In MATLAB, the "peaks" function is a two$-$input function defined as shown on the next chart.

Develop a multi$-$parameter, mapped genetic algorithm to find the maximum of the "peaks"

function. The following details are to be applied to your problem

Confine the search to the square area $[-3,3]$ x $[-3,3]$

Use $8-$bit binary coding for each variable

$,$ Try p$\_($cross $)=0\mathrm{.}9,$p$\_($mutate $)=0\mathrm{.}04$ and p$\_($cross $)=1\mathrm{.}0,$p$\_($mutate $)=0\mathrm{.}01$x$,$y$-$decimal, Try p$\_($cross $)=0\mathrm{.}9,$p$\_($mutate $)=0\mathrm{.}04$ and p$\_($cross $)=1\mathrm{.}0,$p$\_($mutate $)=0\mathrm{.}01$x$,$y$-$decimal, Try p$\_($cross $)=0\mathrm{.}9,$p$\_($mutate $)=0\mathrm{.}04$ and p$\_($cross $)=1\mathrm{.}0,$p$\_($mutate $)=0\mathrm{.}01$x$,$y$-$decimal, Try p$\_($cross $)=0\mathrm{.}9,$p$\_($mutate $)=0\mathrm{.}04$ and p$\_($cross $)=1\mathrm{.}0,$p$\_($mutate $)=0\mathrm{.}01$x$,$y$-$decimalz$=3(1-$x$)^(2)$e$^(-$x$^(2)-($y$+1)^(2))-10(($x$)/(5)-$x$^(3)-$y$^(5))$e$^(-$x$^(2)-$y$^(2))-(1)/(3)$e$^(-($x$+1)^(2)-$y$^(2))$

Peaks