## 4 Example Analysis
### Data on the Construction Scheme  
In order to optimize the construction scheme through the mathematical model, it is necessary to carry out a statistical analysis of the relevant data information of the proposed construction method. Due to the tight schedule of this project, the left and right cofferdams of Pier 7 are organized into two construction sections for the flow construction. The specific construction process after decomposition is shown in Table 1.  
### Data on the Construction Scheme  
In order to optimize the construction scheme through the mathematical model, it is necessary to carry out a statistical analysis of the relevant data information of the proposed construction method. Due to the tight schedule of this project, the left and right cofferdams of Pier 7 are organized into two construction sections for the flow construction. The specific construction process after decomposition is shown in Table 1.  
\begin{table}
\begin{tabular}{c l} \hline \hline
**Construction Process** & **Work Content** \\ \hline A & Preparation for construction \\ B & Execution of the first section of steel pipe piles for the left cofferdam \\ C & Pilot hole for the steel pipe pile in the first section of the left cofferdam \\ D & Second application of steel pipe piles for the first section of the left cofferdam \\ E & Removal of the left cofferdam construction platform \\ F & Steel pipe pile driving for the second section of the left cofferdam \\ G & Steel pipe pile pilot hole for the second section of the left cofferdam \\ H & Secondary steel pipe pile driving for the second section of the left cofferdam \\ I & Construction of the first support for the left cofferdam \\ J & Pumping of the left cofferdam \\ K & Construction of the second support for the left cofferdam \\ L & Pumping of the left cofferdam and excavation to the base of the bearing platform \\ M & Construction of the third support for the left cofferdam \\ N & Execution of the first section of steel pipe piles for the right cofferdam \\ O & Pilot hole for the steel pipe pile in the first section of the right cofferdam \\ P & Second application of steel pipe piles for the first section of the right cofferdam \\ Q & Removal of the right cofferdam construction platform \\ \hline \hline \end{tabular}
\end{table}
Table 1: Specific construction process after decomposition.  
Figure 1: Map of construction’s hydrogeological conditions.  
The specific construction network diagram is shown in Figure 2. Combined with the configuration of machinery and equipment, the normal duration, minimum duration, maximum duration, and cost of each construction process are shown in Table 2. Under normal conditions, the duration would be 87 days, the total cost would be CNY 7,385,000, the quality level would be 0.9663, and the overhead rate would be CNY 20,000 per day when determined based on the actual project.  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Construction Process** & **Work Content** \\ \hline R & Steel pipe pile driving for the second section of the right cofferdam \\ S & Steel pipe pile pilot hole for the second section of the right cofferdam \\ T & Secondary steel pipe pile driving for the second section of the right cofferdam \\ U & Construction of the first support for the right cofferdam \\ V & Pumping of the right cofferdam \\ W & Construction of the second support for the right cofferdam \\ X & Pumping of the right cofferdam and excavation to the base of the bearing platform \\ Y & Construction of the third support for the right cofferdam \\ Z & Acceptance of cofferdams \\ \hline \hline \end{tabular}
\end{table}
Table 1: _Cont._  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \(i\) & \(t_{i}^{\text{g}}\)/Days & \(t_{i}^{\text{g}}\)/Days & \(t_{i}^{\text{g}}\)/Days & \(C_{Df}^{\text{g}}\)/(CNY 10k) & \(C_{Df}^{\text{g}}\)/(CNY 10k) \\ \hline A & 2 & 4 & 6 & 6.98 & 7.72 \\ B & 5 & 7 & 9 & 137.83 & 149.61 \\ C & 8 & 12 & 15 & 17.40 & 19.05 \\ D & 12 & 1