# Vehicle Delay Model Applied to Dynamic and Static Traffic Impact Analysis of Large Parking Lots
## 4 Analysis of Simulation Experiment
### Analysis of Simulation Results  
(1) Arriving vehicles  
After fitting, the parameter calibration results of the average delay model of arriving vehicles in the parking lot were shown in Table 1. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{4}{c}{**Calibration Results**} \\ \hline \(d_{1 af}\) & 3.61 & \(\mu_{1a}\) & 472.1 & \(t_{1a2c}\) & 4.84 \\ \(t_{1a2f}\) & 5.36 & \(\eta_{1a2c}\) & 0.92 & \\ \hline \multicolumn{4}{c}{**Integrity evaluation of model fitting**} \\ \hline SSE & 132.14 & - & - & R-square & 0.9379 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Calibration Results of Delay Model Parameters of Arriving Vehicles. Figure 5: Final simulation environment of West entrance. The R-square of the model was 0.9379. It is generally believed that when R-square is greater than 0.9, the fitting effect is good [26]. Therefore, this paper accepted the parameter calibration results. Substitute the parameter calibration results into Equation (3) to obtain Equation (11), and then the average delay model of arriving vehicles at the west entrance of Jingfeng parking lot during peak hours can be obtained. \[d_{1a}=3.61+\frac{1}{472.1-0.2\times q_{a}}\times 3600+\frac{1}{2}\times(3600 \times\frac{1-e^{-((\frac{1}{3}\times 4.84\times q_{a}+\frac{1}{10}\times 5.36 \times q_{a})/3600)}}{3600\times 0.92\times\frac{1}{5.36}\times e^{-(\frac{1}{3} \times 4.84\times q_{a}/3600)}-\frac{1}{10}\times q_{a}}) \tag{11}\]  
(2) Leaving vehicles  
After fitting, the parameter calibration results of the average delay model of leaving vehicles in the parking lot were shown in Table 2.  
The R-square of the model is 0.9478, indicating that the fitting effect was good. Therefore, this paper accepted the parameter calibration results. Substitute the parameter calibration results into Equation (6) to obtain Equation (12), and then the average delay model of vehicles leaving the west entrance of Jingfeng parking lot during peak hours. \[d_{1l}=3.687+\frac{1}{360.3-q_{1l}}\times 3600+3600\times\frac{1-e^{-((\frac{ 7}{30}\times 5.89\times q_{a}+4.46\times q_{ll})/3600)}}{3600\times 0.94 \times\frac{1}{1.46}\times e^{-(\frac{7}{30}\times 5.89\times q_{a}/3600)}-q_{1l}} \tag{12}\]  
(3) Road vehicles  
After fitting, the parameter calibration results of the average delay model of road vehicles were shown in Table 3.  
The R-square of the model is 0.9457, indicating that the fitting effect was good. Therefore, this paper accepted the parameter calibration results. Substitute the parameter calibration results into Equation (11) to obtain Equation (13), and then the average delay model of road vehicles near the west entrance of Jingfeng parking lot during peak hours can be obtained. \[d_{1r}=\frac{7}{24}\times(3600\times\frac{1-e^{-((\frac{1}{30}\times 4.7\times q _{a}+\frac{7}{30}\times 4.39\times q_{a})/3600)}}{3600\times 0.94\times\frac{1}{ 39}\times e^{-(\frac{1}{30}\times 4.7\times q_{a}/3600)}-\frac{7}{30}\times q _{a}}+3600\times\frac{1-e^{-((4.42\times q_{ll}+\frac{7}{30}\times 4.51 \times q_{a})/3600)}}{3600\times 0.95\times\frac{1}{4.51}\times e^{-(4.42\times q _{ll}/3600)}-\frac{7}{30}q_{a}}) \tag{13}\]  
### Analysis of Simulation Results  
To test the accuracy of the model and parameter calibration, this paper investigated the traffic conditions at the west entrance and exit of the Jingfeng parking lot on a new day and obtained the number of vehicles of various types and the actual delay time. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \multicolumn{4}{c}{**Calibration Results**} \\ \hline \(d_{1 lf}\) & 3.69 & \(\mu_{1l}\) & 360.3 & \(t_{1 lc}\) & 5.89 \\ \(t_{1 lf}\) & 4.46 & \(\eta_{1 lc}\) & 0.94 & - & - \\ \hline \multicolumn{5}{c}{**Integrity Evaluation of Model Fitting**} \\ \hline SSE & 192.7 & - & - & R-square & 0.9478 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Calibration Results of Delay Model Parameters of Leaving Vehicles.