# mDARAL: A Multi-Radio Version for the DARAL Routing Algorithm
## 5 Results
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**PM** & **ND** & **Algorithm** & **Avg \(\pm\) Dev Small-** & **Avg \(\pm\) Dev Medium-** & **Avg \(\pm\) Dev Large-Scenario** \\ \hline FS & 5 & _DARAL_ & 1.81 \(\pm\) 0.26 & 1.92 \(\pm\) 0.23 & 1.74 \(\pm\) 0.29 \\ FS & 5 & _mDARAL_ & 1.46 \(\pm\) 0.25 & 1.47 \(\pm\) 0.20 & 1.44 \(\pm\) 0.22 \\ FS & 10 & _DARAL_ & 2.51 \(\pm\) 0.26 & 2.45 \(\pm\) 0.20 & 2.54 \(\pm\) 0.19 \\ FS & 10 & _mDARAL_ & 3.44 \(\pm\) 0.31 & 3.35 \(\pm\) 0.27 & 3.37 \(\pm\) 0.27 \\ FS & 15 & _DARAL_ & 2.94 \(\pm\) 0.2 & 2.96 \(\pm\) 0.19 & 3.09 \(\pm\) 0.14 \\ FS & 15 & _mDARAL_ & 3.24 \(\pm\) 0.12 & 3.19 \(\pm\) 0.19 & 3.38 \(\pm\) 0.23 \\ \hline LNS & 5 & _DARAL_ & 1.77 \(\pm\) 0.21 & 1.87 \(\pm\) 0.23 & 1.86 \(\pm\) 0.33 \\ LNS & 5 & _mDARAL_ & 1.4 \(\pm\) 0.28 & 1.44 \(\pm\) 0.21 & 1.39 \(\pm\) 0.28 \\ LNS & 10 & _DARAL_ & 2.51 \(\pm\) 0.17 & 2.4 \(\pm\) 0.27 & 2.56 \(\pm\) 0.28 \\ LNS & 10 & _mDARAL_ & 3.4 \(\pm\) 0.26 & 3.32 \(\pm\) 0.42 & 3.51 \(\pm\) 0.29 \\ LNS & 15 & _DARAL_ & 2.87 \(\pm\) 0.25 & 2.97 \(\pm\) 0.22 & 2.91 \(\pm\) 0.17 \\ LNS & 15 & _mDARAL_ & 3.09 \(\pm\) 0.25 & 3.15 \(\pm\) 0.26 & 3.16 \(\pm\) 0.21 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Average number of control messages for small-, medium- and large-size scenarios under different propagation conditions. ND and PM stand for Node Density and Propagation Model respectively. Figure 6: Average number of control messages of _D paral_ (D) and _mD paral_ (MD) for small-, medium- and large-size scenarios under different propagation conditions and node densities (ND5, ND10 and ND15). Table 5 and Figure 8 show the behaviour of the convergence time for both routing algorithms, and also for the FreeSpace and the Log-Normal Shadowing configurations. In general terms, it can be seen how _mDARAL_ reduces the time for creating the entire network under all the possible analyzed scenarios. For the FreeSpace configuration with a node density of 15, _mDARAL_ gets an average improvement between 3.35\(\times\) (Small) and 1.67\(\times\) (Large), while, in the Log-Normal Shadowing configuration, the values are in a range from 2.56\(\times\) (Small) to 1.43\(\times\) (Large). Finally, as our previous works show, it would be convenient to calibrate the parameters of the algorithm in terms of energy consumption reduction. The convergence time has shown a higher impact on the energy consumption than the number of messages sent. \begin{table}
\begin{tabular}{c c c c c c} \hline
**PM** & **ND** & **Algorithm** & **Avg \(\pm\) Dev Small-** & **Avg \(\pm\) Dev Medium-** & **Avg \(\pm\) Dev Large-Scenario** \\ \hline FS & 5 & _DARAL_ & 2.78 \(\pm\) 1.03 & 3.24 \(\pm\) 0.84 & 3.15 \(\pm\) 0.91 \\ FS & 5 & _mDARAL_ & 0.94 \(\pm\) 0.32 & 1.01 \(\pm\) 0.2 & 0.94 \(\pm\) 0.36 \\ FS & 10 & _DARAL_ & 8.62 \(\pm\) 2.82 & 8.83 \(\pm\) 1.66 & 9.55 \(\pm\) 2.21 \\ FS & 10 & _mDARAL_ & 5.89 \(\pm\) 2.26 & 5.91 \(\pm\) 1.35 & 6.13 \(\pm\) 2.17 \\ FS & 15 & _DARAL_ & 12.09 \(\pm\) 1.89 & 10.84 \(\pm\) 2.10 & 13.15 \(\pm\) 1.48 \\ FS & 15 & _mDARAL_ & 7.76 \(\pm\) 1.59 & 6.85 \(\pm\) 1.81 & 7.86 \(\pm\) 0.84 \\ \hline LNS & 5 & _DARAL_ & 3.06 \(\pm\) 0.82 & 3.11 \(\pm\) 0.75 & 3.28 \(\pm\) 0.96 \\ LNS & 5 & _mDARAL_ & 1.19 \(\pm\) 0.46 & 1.28 \(\pm\) 0.36 & 1.28 \(\pm\) 0.49 \\ LNS & 10 & _DARAL_ & 9.26\(\pm\)1.3 & 8.62\(\pm\)3.18 & 10.6\(\pm\)2.5 \\ LNS & 10 & _mDARAL_ & 6.01 \(\pm\) 0.89 & 5.77 \(\pm\) 1.99 & 6.63 \(\pm\) 2.03 \\ LNS & 15 & _DARAL_ & 11.87 \(\pm\) 2.6 & 12.07 \(\pm\) 2.45 & 11.73 \(\pm\) 2.44 \\ LNS & 15 & _mDARAL_ & 8.21 \(\pm\) 1.51 & 8.07 \(\pm\) 1.43 & 8.19 \(\pm\) 2.02 \\ \hline \end{tabular}
\end{table} 
Table 5: Average convergence time for small-, medium- and large-size scenarios under different propagation conditions. ND and PM stand for Node Density and Propagation Model respectively. Figure 7: Average battery consumed during the network set-up of _D paral_ (D) and _mD paral_ (MD) for small-, medium- and large-size scenarios under different propagation conditions and node densities (ND5, ND10 and ND15).