# Design Considerations and Performance Evaluation of Gossi Routing in LoRa-Based Linear Networks
## 5 Result Evaluation and Discussion
### Summary  
Our experimental results can be broadly categorised into two tasks. In the first task, we explored two design approaches: physical offset and collocated, along with their respective performance metrics. We demonstrated the effectiveness of the simpler design approach, referred to as \"physical offset\", in achieving a throughput of up to 98%. Additionally, we examined the performance of both design approaches across different relay widths (widths of 1, 2, and 3) within a network of up to three hops. However, the robustness of a linear network depends purely on its network architecture. If we use a single relay node at each hop that falls within the exact coverage overlap (Figure 5), in such a case, the failure of a single relay can lead to network failure. In the presence of different relay widths (two or more), even with the failure of a few individual relay nodes, network connectivity can still be maintained.  
Furthermore, we conducted a comparative analysis between the performance of the physical offset design approach and the collocated approach, utilising various relay widths. This analysis is elaborated upon in Sections 5.2 and 5.3 of our discussion.  
In the second task, we conducted experiments using gossip routing with different transmission probabilities in the presence of two active relay nodes. The average performance we observed was 98% and 94.27%, at \(T_{prob}\) = 0.90 and \(T_{prob}\) = 0.80, respectively. As we continued to reduce the transmission probability, we noticed a corresponding decrease in performance. However, when the probability was set to 0.4, we achieved a notable Packet Reception Rate (PRR) of 62.8%. To further assess the impact, we introduced an additional relay node and evaluated the performance across various \(T_{prob}\) settings. The introduction of this extra relay node significantly improved the packet reception rate when compared to the scenario with only two active relay nodes, as depicted in Figure 13. Specifically, at \(T_{prob}\) = 0.80, we achieved a performance level of 98.06%. With further reductions in the transmission probabilities (\(T_{prob}\) = 0.70, \(T_{prob}\) = 0.60, and \(T_{prob}\) = 0.50), the performance results were 91.68%, 90.69%, and 80.89%, respectively. At \(T_{prob}\) = 0.40, the performance reached approximately 73.77%.  
Lastly, we also mapped the performance of the gossip routing results with conventional broadcasting (\(T_{prob}\) = 1.00) by considering different relay widths, as shown in Figure 14.  
Figure 13: Performance comparison at various \(T_{prob}\) using the data from Tables 2 and 3.  
Based on the experimental results, it was evident that, at \(T_{prob}\) = 0.90 and \(T_{prob}\) = 0.80, we could achieve nearly identical outcomes as at \(T_{prob}\) = 1.00, when employing two and three active relay nodes, respectively. Based on the experimental data, it was evident that our result closely aligned with the theoretical calculation. This not only allows for the efficient utilisation of radio resources, but also results in reduced energy consumption compared to continuous broadcasting. With these findings, we can extrapolate the consideration of gossip routing over a longer linear network for power savings and reducing transmission overhead for optimal performance.