\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[%
node distance = 17mm,
state/.style = {%
rectangle,
draw = black,
inner sep = 0pt,
minimum size = 7mm,
thick,
},
beta/.style = {%
node distance = 2mm,
inner sep = 1pt,
},
auto,
]
\node (a1) [state] {$A_1$};
\node (a2) [right=of a1,state] {$A_2$};
\node (a5) [right=of a2,state] {$A_5$};
\node (a6) [right=of a5,state] {$A_6$};
\node (a3) [above=of a2,state] {$A_3$};
\node (a4) [below=of a2,state] {$A_4$};
\node (a8) [above right=of a6,state] {$A_8$};
\node (a7) [below right=of a6,state] {$A_7$};
\draw [->] (a1) to node {$\alpha_2$} (a2);
\draw [->] (a3) to node {$\alpha_1$} (a2);
\draw [->] (a2) to node {$\alpha_2$} (a4);
\draw [->] (a2) to node {$\alpha_3$} (a5);
\draw [->,swap] (a4) to node {$\alpha_4$} (a5);
\draw [->] (a5) to node {$\alpha_5$} (a6);
\draw [->] (a6) to node {$\alpha_6$} (a8);
\draw [->] (a6) to node {$\alpha_7$} (a7);
\node (b1) [beta,left=of a3] {$\beta_1$};
\node (b2) [beta,right=of a3] {$\beta_2$};
\node (b4) [beta,below=of a1] {$\beta_4$};
\node (b5) [beta,below right=of a2] {$\beta_5$};
\node (b7) [beta,below=of a5] {$\beta_7$};
\node (b8) [beta,below=of a6] {$\beta_8$};
\node (b9) [beta,below=of a8] {$\beta_9$};
\node (b10) [beta,below=of a7] {$\beta_{10}$};
\draw [->] (a1) -- (b4);
\draw [->] (b1) -- (a3);
\draw [->] (a3) -- (b2);
\draw [->] (a2) -- (b5);
\draw [->] (a5) -- (b7);
\draw [->] (a6) -- (b8);
\draw [->] (a8) -- (b9);
\draw [->] (a7) -- (b10);
\end{tikzpicture}
\end{document}