link outage will occur when $$\label{eq:single_out}
{\bar p}^{\rm{ns}}_{ij} \buildrel \Delta \over = 1 - \sum\limits_{k = 1}^{{D_{\rm{ns}}}} {p^{\rm{ns}}_{ij} = \frac{n_i}{N_i}{{\left( {1 - \exp \left( { - \frac{{{2^{2{r_0}}} - 1}}{P}} \right)} \right)}^{{D_{\rm{ns}}}}}} \;,$$ where $P$ is the transmission power, $r_0$ is the end-to-end spectral efficiency and ${D_{ns}}$ is the total number of links that the $K$ relays offer, i.e., ${D_{ns}} = \sum_{k = 1}^K {\Phi \left( {{Q_k}} \right)}$. More specifically, each relay will offer $$\label{eq:link_num}
\Phi \left( {{Q_k}} \right) = \left\{ \begin{array}{l l }
2 & {\rm{ \hspace{1 mm} if \hspace{1 mm} }} 0 < \Psi \left( {{Q_k}} \right) < L;\\
1 & {\rm{ \hspace{1 mm} elsewhere}}{\rm{.}}
\end{array} \right.$$

Furthermore, a successive transition, will be successful with a probability equal to $$\label{eq:succ_tr}
p^{\rm s} _{ij} \buildrel \Delta \over = \frac{1}{N_i - n_i}\left[ {1 - {{\left[ {\left( {1 - \exp \left( { - \frac{{{2^{2{r_0}}} - 1}}{{{P_{s}^*}}}} \right)} \right)\left( {1 - \exp \left( { - \frac{{{2^{2{r_0}}} - 1}}{P_{R_t}^*}} \right)} \right)} \right]}^{{D_{s}}}}} \right] \; ,$$ where $P_{s}^*$ is defined by if IC took place or if IC was not feasible. Similarly, $P_{R_t}^*$ is defined by or . By $D_{s}$ we denote the total number of possible end-to-end successive links as all the possible relay 