## 5 Analysis of Examples  
### Calculation of the Status Values of Traffic Interruptions  
The entropy right-TOPSIS method is used to analyze the status values of traffic interruptions based on data from traffic interruptions over the past three years, provided by seven highway development and emergency support centers in Tibet Autonomous Region, specifically in Changdu, Naqu, and Ngari.  
1. Data sources  
The data used in this study comes from historical records of traffic interruptions on the four main highways into Tibet. The dataset includes the following parameters:  
Interruption Time: Duration of each interruption event.  
Interruption Distance: The length of the road segment affected by the interruption.  
Disruption Duration: The product of interruption time and distance, providing a comprehensive measure of the impact of each interruption event.
2. Data pre-processing  
After obtaining the raw traffic interruption data, the box-and-line diagram method is applied to remove the outliers, i.e., data smaller than QL-1.SIQR or larger than QU+1.SIQR (QL is the lower quartile, IQR is the interquartile range, and QU is the upper quartile). Based on the preprocessed traffic interruption data, the entropy weight-TOPSIS method is further applied to calculate the interruption state values.
3. Calculation of interruption state values using Entropy Weight-TOPSIS  
First, collected data are rendered dimensionless using Equation (3) and the entropy weight-TOPSIS method. Then, objective evaluation weights for interruption duration, mileage, and severity are determined based on Equations (4)-(7) (Table 3). Interruption duration is the most influential factor on the status value of traffic interruptions, while interruption severity exerts the minimum impact.  
The weight matrix \(Z_{ij}\) is derived using Equation (8). Subsequently, the maximum and minimum values of the solutions for each column are computed by Equation (9), as shown in Table 4. Then, the ideal distances between the values of each factor indicator and both the maximum and minimum values are calculated using Equation (10).  
Finally, the comprehensive evaluation value of all events is calculated by Formula (11), and the specific results are shown in Figure 12. A higher status value indicates a more severe traffic interruption.  
The status values of traffic interruptions on each highway to Tibet are compared (Figure 13). The statistics for the Sichuan-Tibet Highway are significantly higher than those of the other routes. The Qinghai-Tibet Highway exhibits higher values compared to the Yunnan-Tibet Highway and Xinjiang-Tibet Highway. The statistics for the Yunnan-Tibet Highway exhibit minimal variation due to limited interruption data.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Evaluation Indices** & **Interruption Duration** & **Interruption Mileage** & **Interruption Severity** \\ \hline maximum values & 0.335946 & 0.333497 & 0.331557 \\ minimum values & 0.000336 & 0.000333 & 0.000331 \\ \hline \hline \end{tabular}
\end{table}
Table 4: The maximum and minimum values.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Evaluation Indices** & **Interruption Duration** & **Interruption Mileage** & **Interruption Severity** \\ \hline Weight (\(W_{j}\)) & 0.3356 & 0.3332 & 0.3312 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Weights of evaluation indices.