# Motion Simulation and Human-Computer Interaction System for Lunar Exploration
## 3 Simulation Results
### System Effectiveness Evaluation  
Considering that the effectiveness of the system is related to human factors, human factor \(K\) was entered into the traditional ADC model [22]. The evaluation model was as follows:  
\[E=K\times A\times D\times C \tag{22}\]  
where \(K\) represents the human factor, \(A\) is the availability vector, \(D\) is the reliability matrix, and \(C\) is the system performance matrix.  
\[A=[a_{1},a_{2}]=[0.983,0.017] \tag{23}\]  
\[a_{1}=\frac{\alpha}{\beta+\alpha} \tag{24}\]  
where \(a_{1}\) and \(a_{2}\) are the probability that the platform is in effective state and fault state, \(\alpha\) is the average working time without failure (38 min and 2 s), and \(\beta\) is the average time for repairing equipment (39 s). The formula for reliability matrix \(D\) was as follows:  
\[D=\left[\begin{array}{cc}e^{-\frac{T}{T}}&1-e^{-\frac{T}{T}}\\ e^{-\frac{T}{T}}&1-e^{-\frac{T}{T}}\end{array}\right]=\left[\begin{array}{ cc}0.932&0.068\\ 0.0027&0.9973\end{array}\right] \tag{25}\]  
where \(T\) is the duration of the task.  
Next, we calculated the system performance matrix \(C\). The system performance could be divided into three sub-indexes, including authenticity, real-time, and interactivity. The fuzzy comprehensive evaluation factor was set as \(U=\{U_{1},U_{2},U_{3}\}\).  
The weights of each index obtained by the analytic hierarchy process were \(W=\{0.4431,\,0.3157,\,0.2412\}\). The questionnaire was distributed to the subjects, and  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Number** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** \\ \hline Time (s) & 23.4 & 23.0 & 20.7 & 20.6 & 18.3 & 19.5 & 23.6 & 18.5 \\ Evaluation of comfort & 7 & 9 & 7 & 8 & 10 & 9 & 8 & 10 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Data of Experiment 2 (Combination of three channels).  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Number** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** \\ \hline Time (s) & 9.8 & 10.5 & 11.1 & 8.5 & 8.9 & 9.5 & 7.7 & 10.7 \\ Evaluation of comfort & 6 & 7 & 7 & 9 & 7 & 8 & 8 & 7 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Data of Experiment 1 (Key control).  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Number** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** \\ \hline Time (s) & 8.3 & 7.2 & 9.5 & 8.7 & 7.4 & 7.9 & 7.5 & 6.9 \\ Evaluation of comfort & 8 & 9 & 8 & 8 & 8 & 10 & 8 & 8 \\ \hline \hline \end{tabular}
\end{table}
Table 4: Data of Experiment 1 (Combination of three channels).  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Number** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** \\ \hline Time (s) & 24.7 & 23.4 & 19.8 & 21.6 & 19.9 & 22.3 & 26.2 & 18.8 \\ Evaluation of comfort & 6 & 6 & 7 & 5 & 6 & 5 & 5 & 6 \\ \hline \hline \end{tabular}
\end{table}
Table 5: Data of Experiment 2 (Key control).  
the index value of platform capability \(C^{\prime}\) was \(U^{\prime}=\{91.625,91.875,93.5\}\). \(C\) was calculated according to the following formula:  
\[C=\left[\begin{array}{c}C^{\prime}\\ 0\end{array}\right]=\left[\begin{array}{c}92.175\\ 0\end{array}\right] \tag{26}\]  
Next, we calculated the human factor \(K\):  
\[K=K_{1}\times K_{2} \tag{27}\]  
\[K_{1}=\frac{t_{1}}{t_{1}+t_{2}}=\frac{37.607}{37.91}=0.992 \tag{28}\]  
\[K_{2}=1-\lambda=0.98 \tag{29}\]  
where \(K_{1}\) is the manpower availability, \(K_{2}\) is the manpower credibility, \(t_{1}\) is the average working hours, \(t_{2}\) is the average non-working hours, and \(\lambda\) is the probability of error of the experimenters. From Equation (27), \(K\) was equal to 0.9722. According to Formula (22), \(E\) was equal to 82.103.  
It can be seen that the personnel participating in the experiment had a high evaluation on the interactive design of the system. After considering human factors, the system efficiency score was about 82, which meets various requirements.