## 6 Industrial Experiment  
### Classification and Zoning of Surrounding Rock Stability in the 4301 Tailgate  
The AHP is a structured technique for making complex decisions by breaking them down into smaller, more manageable components. Developed by [PERSON] in the 1970s, AHP is widely recognized for its ability to handle multi-criteria decision-making problems. It involves organizing decision elements into a hierarchy, comparing pairs of elements to determine their relative importance, and synthesizing these judgments to provide an overall ranking. This method is particularly useful when evaluating alternatives that are difficult to quantify directly, such as in assessing the stability of roadway. Based on three factors: service duration, rock burst, and hydrogeological conditions, an AHP method was employed to construct a hierarchical system for assessing the stability of surrounding rocks. Firstly, comparative assignments were made to each factor, followed by the calculation of weights using the matrix nth root method. Finally, specific values for the influencing factors were determined, as detailed in Table 5.  
Due to the conditions \(\sum A_{i}=1(i=1,2,3,4)\) and \(\sum B_{j}=1(j=1,2,3,\ldots,10)\), through calculation, the maximum and minimum values of the influencing factors are obtained as \(B_{max}=0.6636\) and \(B_{min}=0.1883\), respectively. Subsequently, the influencing interval is determined as (0.18, 0.67). Dividing the obtained safety interval in a ratio of 1:2:3, the classification of roadway stability is obtained, as detailed in Table 6.  
Based on the analysis, the 4301 tailgate is divided into four sections, yet these sections fall into three support zones according to the grading criteria for surrounding rock stabil \begin{table}
\begin{tabular}{c c c c c} \hline
**Influence Factor** & **Characteristic Vector** & **Refine Classification** & **Feature Vector** & **Influencing Factors** \\ \hline \multirow{3}{*}{Service duration} & & Short & 0.1111 & 0.0185 \\  & 0.1666 & Longer & 0.3333 & 0.0555 \\  & & Long & 0.5556 & 0.0926 \\ \hline \multirow{3}{*}{Rock burst} & & Weak & 0.1111 & 0.0309 \\  & 0.2778 & Middle & 0.3333 & 0.0926 \\  & & Strong & 0.5556 & 0.1543 \\ \hline \multirow{2}{*}{Goaf water influence} & & Have impact & 0.75 & 0.2084 \\  & 0.2778 & No impact & 0.25 & 0.0694 \\ \hline \multirow{2}{*}{Geological structure influence} & & Have impact & 0.75 & 0.2084 \\  & 0.2778 & No impact & 0.25 & 0.0694 \\ \hline Total & 1 & — & 3 & 1 \\ \hline \end{tabular}
\end{table} 
Table 5: Characteristic vector of influencing factors. ity: the normal support zone, the reinforced support zone (which includes two sections: 260-1500 m and 2500-3930 m), and the special support zone. Normal support zone (0-260 m): This zone is affected by weak rock burst and has a short service time. The corresponding influence factor is 0.1883, resulting in a rock stability grade of C. Therefore, normal support measures are sufficient to meet basic safety requirements in this area. Reinforced support zone (260-1500 m): This zone is subjected to moderate dynamic pressure and considers the service duration. The influence factor increases to 0.2870, raising the rock stability grade to B. Therefore, reinforced support measures are necessary to address the more complex geological conditions in this area. Special support zone (1500-2500 m): in addition to being affected by moderate rock burst, this zone also experiences deterioration in rock conditions due to catastrophic factors such as water accumulation in the goaf. This results in an influence factor of 0.4259 and a rock stability grade of A. Consequently, this area is designated as a special support zone requiring more targeted and high-intensity support techniques to ensure safety. Reinforced support zone (2500-3930 m): Similar to the previous zone, this section is affected by moderate rock burst with a longer service period. The influence factor is 0.3241, resulting in a rock stability grade of B. Therefore, reinforced support measures are also applied in this segment.