## 4 Fibonacci Tree Optimization Algorithm
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline
**Algorithm** & \multicolumn{3}{c}{**Iter = 10**} & \multicolumn{3}{c}{**Iter = 50**} & \multicolumn{3}{c}{**Iter = 200**} & \multicolumn{3}{c}{**Iter = 500**} \\  & **min J** & \(\delta\) & \(\theta\) & **min J** & \(\delta\) & **\(\theta\)** & **min J** & \(\delta\) & **min J** & \(\delta\) & **\(\theta\)** \\ \hline PSO & 0.65 & 0.57 & 0.165 & 0.67 & 0.71 & 0.11 & 0.55 & 0.75 & 0.34 & 0.56 & 0.59 & 0.65 \\ GA & 0.87 & 0.57 & 0.2 & 0.76 & 0.38 & 0.6 & 0.57 & 0.56 & 0.13 & 0.55 & 0.55 & 0.65 \\ CLPSO & 0.52 & 0.72 & 0.4 & 0.49 & 0.18 & 0.74 & 0.56 & 0.75 & 0.9 & 0.54 & 0.15 & 0.15 \\ DE & 0.67 & 0.57 & 0.37 & 0.67 & 0.78 & 0.56 & 0.5 & 0.44 & 0.15 & 055 & 0.65 & 0.65 \\ ABC & 0.63 & 0.57 & 0.38 & 0.58 & 0.51 & 0.17 & 0.49 & 0.45 & 0.65 & 0.49 & 0.65 & 0.5 \\ FTO & 0.52 & 0.74 & 0.56 & 0.45 & 0.18 & 0.86 & 0.45 & 0.8 & 0.13 & 0.45 & 0.175 & 0.175 \\ \hline \end{tabular}
\end{table} 
Table 11: The optimization results. We have implemented several sensing scheduling strategies including LDAS, PECAS, BS and DSS. These strategies all make similar assumptions. Figure 17 shows the results. FTOS (\(\delta=\theta=0.175\)) accomplished better detection accuracy and consumes the bare minimum of energy compared to the other sensing scheduling strategies. For sensing duration (t = 20-150 s), all sensing scheduling strategies improved, viz., \(1-\mu\) and \(\mathbb{E}[\epsilon]\) decline with time. ## 7 Deficiencies and Unresolved Issues

The research of this paper is still flawed in the following aspects:

1. Selection of fitting functions. Some simple fitting functions are selected by experience to simulate the relationship between variables related to the objective function and the parameters of the scheduling strategy. The results are indeed good, but other fitting functions are still worth trying. Figure 16: Test results of FTOS scheduling with parameters optimized by different algorithms. Figure 17: The expected detection accuracy and the expected energy depletion of different sensing scheduling strategies at different time scales. Selection of sensors. The diffuse reflection photoelectric infrared proximity sensor, E3F-DS100P1, has a sensing radius of 3-5 m. If you have the budget to pay, you had better use sensors with a larger sensing radius and more accuracy, for example, laser radar. * Too few nodes. Because of the insufficient number of devices we have, we have only configured a 3-node network. Experiments with more nodes would be more convincing. The dynamics of network traffic were not analyzed. It is also interesting to associate our strategy with other approaches, such as the follow-up of specific targets in [19], which is also a topic for future efforts. ## 8 Conclusions

The FTOS strategy proposed in this paper addresses the synergy between the energy availability and fault tolerance of event monitoring. The experimental results show that the FTOS strategy contributes to reducing energy depletion and increasing detection accuracy. It outperforms LDAS, BS, DSS and PECAS, which have the same design objectives. The experimental findings show that the step-size parameters optimized by the FTO algorithm are better than those optimized by PSO, GA, and so forth. We also guide the actual deployment. It should be noted that when applied in practice, the FTOS strategy can be generalized only if the step-size can be systematically formulated. Conceptualization, L.W. ; Data curation, L.W. ; Formal analysis, L.W. ; Funding acquisition, H.C.; Investigation, L.W. ; Methodology, L.W. ; Project administration, H.C.; Software, L.W. ; Supervision, H.C.; Validation, L.W. ; Visualization, L.W. ; Writing--original draft, L.W. ; Writing--review & editing, H.C. All authors have read and agreed to the published version of the manuscript. This research was funded by the National Natural Science Foundation of China under Grant numbers 61832014. Not applicable. Research data are be obtained by sending an email to [EMAIL_ADDRESS].