Table 3 Probability of successful packet reception

Full-reliable

100

Semi-reliable I-Z retransmission

$\begin{array}{c}{\displaystyle \prod _{j=E}^{H_{\left(p\right)}+1}}\left(1-P{d}_{\left(p,h\right)}\right),B=0,E<H_{\left(p\right)}+1\\ {\displaystyle \prod _{j=0}^B}\left(1-P{d}_{\left(p,h\right)}\right)+{\displaystyle \prod _{j=E}^{H_{\left(p\right)}+1}}\left(1-P{d}_{\left(p,h\right)}\right),B>0,E<H_{\left(p\right)}+1\\ {\displaystyle \prod _{j=0}^B}\left(1-P{d}_{\left(p,h\right)}\right),B>0,E=H_{\left(p\right)}+1\end{array}$ (19)

Semi-reliable O-Z retransmission

$\begin{array}{l}{\displaystyle \prod _{j=0}^E}\left(1-P{d}_{\left(p,h\right)}\right),B=0,E<H_{\left(p\right)}+1\\ {\displaystyle \prod _{j=B}^E}\left(1-P{d}_{\left(p,h\right)}\right),B>0,E<H_{\left(p\right)}+1\\ {\displaystyle \prod _{j=B}^{H_{\left(p\right)}+1}}\left(1-P{d}_{\left(p,h\right)}\right),B>0,E=H_{\left(p\right)}+1\end{array}$ (20)

Semi-reliable redundancy

${\displaystyle \prod _{j=0}^{H_{\left(p\right)}+1}}\left(1-{\left(P{d}_{\left(p,h\right)}\right)}^2\right)$ (21)

Unreliable

${\displaystyle \prod _{j=0}^{H_{\left(p\right)}+1}}\left(1-P{d}_{\left(p,h\right)}\right)$ (22)