## 5 Result and Discussion  
### Explanation of Basic Information  
Taking a certain bus system in Beijing as an example, we study multi-type buses scheduling and analyze an algorithm calculation example. The example contains six bus routes (Route 405, Route 415, Route 538, Route 1, Route 322 and Route 496), 12 timetables, 1040 tasks in total and seven bus parking yards. The parking yard information is shown in Table 1. The number of parking space in Table 1 is one of the constraints which is calculated by Formula (8). The vehicle information is shown in Table 2. The energy consumption per 100 km is applied in the objective function (1). The specified passenger volume is one of the correlative conditions of the full load rate constraint Formula (5). The bus route information is shown in Table 3. The route mileage is the key index for calculating energy consumption of the objective function (1). The empty driving distance between different parking yards is shown in Table 4. When the end of a task site is not the next start of a task site, there is an empty driving distance. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Number of Parking Yard** & **Name of Parking Yard** & **Number of Parking Space** \\ \hline
1 & Si Hui Junction Station Parking Yard & 50 \\
2 & Sun He Bus Parking Yard & 35 \\
3 & Hui Zhong Li Parking Yard & 25 \\
4 & National Stadium East Parking Yard & 25 \\
5 & Lao Shan Bus Parking Yard & 25 \\
6 & Gu Cheng West Bridge Bus Parking Yard & 25 \\
7 & Kang Jing Nan Li Parking Yard & 25 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Parking yard information. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Type of Fuel** & **Length of Bus(m)** & **The Sequence Number of Vehicle Type** & **Energy Consumption per 100 km (Standard Coal)** & **Specified Passenger Capacity (Person)** \\ \hline
**Electricity** & 18 & V1 & 55.76 & 130 \\ \hline
**Diesel** & 16 & V2 & 71.66 & 140 \\ \hline
**Natural Gas** & 16 & V3 & 75.47 & 164 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Vehicle information. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Bus Route** & **Departure Parking Yard** & **Terminal Parking Yard** & **Route Mileage (km)** \\ \hline
405 & 1 & 2 & 22.31 \\
415 & 3 & 2 & 17.69 \\
538 & 4 & 2 & 19.76 \\
1 & 1 & 5 & 24.84 \\
322 & 1 & 6 & 18.8 \\
496 & 1 & 7 & 12.78 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Bus route information. \begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline  & **Lao Shan Bus** & **Si Hui Junction** & **Cu Cheng West Bridge** & **Sau He Bus** & **Hui Zhong Li** & **Kang Jing Nan Li** & **National Stadium** \\  & **Parking Yard** & **Station Parking Yard** & **Bus Parking Yard** & **Parking Yard** & **Parking Yard** & **Parking Yard** & **East Parking Yard** \\ \hline \hline \begin{tabular}{c} Lao Shan Bus Parking \\ Yard \\ \end{tabular} & 0 & 37.7 & 1.9 & 44.7 & 29.8 & 42 & 30.2 \\ \hline \begin{tabular}{c} Si Hui Junction Station \\ Parking Yard \\ \end{tabular} & 23.8 & 0 & 23.4 & 23.6 & 16.2 & 11 & 16.6 \\ \hline \begin{tabular}{c} Gu Cheng West Bridge \\ Bus Parking Yard \\ \end{tabular} & 1.4 & 36.8 & 0 & 45.6 & 24 & 42.9 & 24.3 \\ \hline \begin{tabular}{c} Sun He Bus Parking \\ Yard \\ \end{tabular} & 40.8 & 22.3 & 40.6 & 0 & 15.8 & 16.2 & 16.8 \\ \hline \begin{tabular}{c} Hui Zhong Li Parking \\ Yard \\ \end{tabular} & 31.2 & 17.1 & 31.1 & 19.7 & 0 & 17.4 & 1.9 \\ \hline \
\begin{tabular}{c} Kang Jing Nan Li \\ Parking Yard \\ \end{tabular} & 42.4 & 10.9 & 42.2 & 14.2 & 17.6 & 0 & 18.6 \\ \hline
\begin{tabular}{c} National Stadium East \\ Parking Yard \\ \end{tabular} & 22.4 & 19.1 & 21 & 24.4 & 3.5 & 21.6 & 3.9 \\ \hline \end{tabular}
\end{table} 
Table 4: Empty driving distance between different parking yards. The maximum mileage for the 12-meter-long electric buses is 133 km and 117 km for the 18-meter-long electric buses and the buses powered by fuel and natural gases have unlimited mileage. The quick charging time of pure electric buses is 30 min.