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Joao Paulo Papa edited Introduction.tex
over 8 years ago
Commit id: 3892943fcd0ec294887db38d919b8d25638646d9
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x_{m+1,j} & \mbox{{ otherwise,}}
\end{array}\right.
\end{eqnarray}
where $\kappa_j,\varpi_j\sim U(0,1)$, and $U_j$ and $L_j$ stand for the upper and lower bounds of decision variable $j$, respectively.
WE NEED FOR DETAILS ABOUT $p_m$ HERE.
\subsection{Self-adaptive Global best Harmony Search}
\label{ss.sghs}
The SGHS algorithm~\cite{Pan_2010} is a modification of GHS that employs a new improvisation scheme and self-adaptive parameters. First of all, Equation~\ref{e.par_ghs} is rewritten as follows:
\begin{equation}
\label{e.par_sghs}
x_{m+1,j} = x_{best,j},
\end{equation}
and Equation~\ref{e.hmcr} can be replaced by:
\begin{eqnarray}
\label{e.hmcr_sghs}
x_{m+1,j} & = & \left\{ \begin{array}{ll} x_{A,j}\pm \varphi_j \varrho & \mbox{{ with probability HMCR}} \\
\theta \in \Phi_j & \mbox{{ with probability (1-HMCR).}}
\end{array}\right.
\end{eqnarray}
\section*{Acknowledgments}
The authors are grateful to FAPESP grants \#2013/20387-7 and \#2014/16250-9, as well as CNPq grants \#470571/2013-6 and \#306166/2014-3.