# Layout Model of Bike-Sharing Facilities in the Transfer-Influenced Area of a Subway Station
## 3 Results and Discussion
### Layout and Configuration Results  
The model was solved according to the genetic algorithm process mentioned in the methodology section, and the first generation and optimal facility-layout schemes in the iterative operation of the algorithm were extracted. Figure 6 shows the spatial distribution of the first-generation scheme, and Figure 7 shows the distribution of the optimal plan of bike-sharing facilities. According to the calculation method for the initial allocation of bike-sharing facilities proposed above, the number of bikes allocated at each facility in the first generation and optimized schemes are shown in Tables  
Through the comparative analysis of the first-generation scheme and the optimal scheme, the following conclusions can be obtained. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Alternative Point ID** & **Bicycle Allocation** & **Alternative Point ID** & **Bicycle Allocation** & **Alternative Point ID** & **Bicycle Allocation** \\ \hline
1 & 20 & 11 & 14 & 21 & 0 \\
2 & 33 & 12 & 0 & 22 & 40 \\
3 & 0 & 13 & 34 & 23 & 28 \\
4 & 20 & 14 & 29 & 24 & 42 \\
5 & 25 & 15 & 0 & 25 & 30 \\
6 & 29 & 16 & 24 & 26 & 41 \\
7 & 0 & 17 & 25 & 27 & 0 \\
8 & 0 & 18 & 18 & 28 & 0 \\
9 & 21 & 19 & 28 & 29 & 39 \\
10 & 0 & 20 & 0 & 30 & 19 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The optimal scheme and the number of shared bikes allocated. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Alternative Point ID** & **Bicycle Allocation** & **Alternative Point ID** & **Bicycle Allocation** & **Alternative Point ID** & **Bicycle Allocation** \\ \hline
1 & 0 & 11 & 10 & 21 & 0 \\
2 & 47 & 12 & 23 & 22 & 49 \\
3 & 0 & 13 & 35 & 23 & 0 \\
4 & 27 & 14 & 0 & 24 & 44 \\
5 & 0 & 15 & 0 & 25 & 30 \\
6 & 33 & 16 & 0 & 26 & 40 \\
7 & 0 & 17 & 22 & 27 & 0 \\
8 & 0 & 18 & 17 & 28 & 0 \\
9 & 20 & 19 & 0 & 29 & 54 \\
10 & 11 & 20 & 16 & 30 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The first-generation scheme and the number of shared bikes allocated. Figure 7: The optimized layout scheme of bike-sharing facilities. Overall supply. The first-generation scheme was equipped with 16 shared bike facilities for a total of 477 shared bikes; the optimal plan was equipped with 20 facilities for 560 shared bikes. The optimal scheme increased the number of facilities compared to the first generation, which meant it could provide more shared bikes to meet potential transfer-ride demands. Spatial location. There was a certain difference between the optimal scheme and the first-generation scheme. The optimal scheme added facilities 5, 14, 19, 23 and 30 to serve the adjacent traffic zones, therefore, the travelers in traffic zones 1, 5, 11, 16 and 17 had more choices for transferring to the subway station, which reduced the transfer cost for travelers. Single-point allocation. Compared with the first-generation scheme, the optimal scheme had a more balanced bike allocation. The maximum number of bikes allocated in the first-generation scheme was 54 and the minimum was 10, and there was an overload penalty according to the number of bikes allocated exceeding the limitation. Correspondingly, the maximum number of bicycles allocated for the optimal scheme was 41 and the minimum was 14, which met the basic bike allocation requirement for facilities. Combined with real-time shared bicycle scheduling during peak periods, this could help avoid possible problems of bike accumulation and shortages. In order to compare the first-generation scheme and the optimal scheme, this paper calculated the riding volumes, the facility operating costs, and the total transfer costs of the two schemes. Among these, riding volume is calculated in Equation (9), the facility operating cost is calculated in Equation (10), and the total transfer cost is calculated in Equation (11). Table 5 shows the values of each indicator of the first-generation scheme and the optimal scheme. The optimal scheme has 20 bike-sharing facilities, and the total transfer cost is 30,235 yuan.