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\\subsubsection{Airport A:}

Once the number of runway and the number of the flights are decided, the flight schedule matrix is decided, too. We produce

this matrix using MATLAB. This matrix companied by $\\Delta t$ is the flight schedule for airport A. $\\Delta t$ will be calculated in (\\ref{Flight:baggage}), (\\ref{sets:number}) and (\\ref{PeakHour}).

We calculate $N_{EDS}$ and make the flight timetable in three conditions. The three conditions and the solution are listed as followed:

\\paragraph{Every flight are fully occupied}

The checking speed of EDS is 160 bags/hour. \\begin{table}[htbp] \\centering \\caption{}

\\begin{tabular}{*{11}c} \\myhline{0.4mm} $\\mathbf{\\Delta

t(\\min)}$&\\textbf{2}&\\textbf{4}&\\textbf{6}&\\textbf{8}&\\textbf{10}&\\textbf{12}&\\textbf{14}&\\textbf{16}&\\textbf{18}&\\textbf{20}\\\\ \\myhline{0.4mm}

$N_{EDS}(\\ge)$&31&31&31&31&31&29&24&22&20&17\\\\ \\hline

$H_{peak}(\\min)$&20&40&60&80&100&120&140&160&180&200\\\\ \\myhline{0.4mm} \\end{tabular} \\label{tab2} \\end{table}

We assume that the suitable value of $H_{peak}$ is 120 minutes. Then the suitable value of $\\Delta t$ is about 12 minutes, and

$N_{EDS}$ is 29 judged from Figure \\ref{fig4}. Certainly, we can work $\\Delta t$ and $N_{EDS}$ out through equation. \\begin{figure}[htbp] \\centering

\\includegraphics[width=294.6pt,totalheight=253.2pt]{fig04.eps} \\caption{} \\label{fig4} \\end{figure}

\\paragraph{Every flight is occupied by the minimal number of passengers on

statistics in the long run.}

The checking speed of EDS is 210 bags/hour. \\begin{table}[htbp] \\centering \\caption{}

\\begin{tabular}{*{11}c} \\myhline{0.4mm} $\\mathbf{\\Delta

t(\\min)}$&\\textbf{2}&\\textbf{4}&\\textbf{6}&\\textbf{8}&\\textbf{10}&\\textbf{12}&\\textbf{14}&\\textbf{16}&\\textbf{18}&\\textbf{20}\\\\ \\myhline{0.4mm}

$N_{EDS}(\\ge)$&15&15&15&15&15&14&13&12&10&7\\\\ \\hline

$H_{peak}(\\min)$&20&40&60&80&100&120&140&160&180&200\\\\ \\myhline{0.4mm} \\end{tabular} \\label{tab3} \\end{table}

We assume that the suitable value of $H_{peak}$ is 120 minutes. Then the suitable value of $\\Delta t$ is about 12 minutes, and

$N_{EDS}$ is 14 judging from Figure \\ref{fig5}. Certainly, we can work $\\Delta t$ and $N_{EDS}$ out through equation. \\begin{figure}[htbp] \\centering

\\includegraphics[width=294.6pt,totalheight=253.2pt]{fig05.eps} \\caption{} \\label{fig5} \\end{figure}

\\paragraph{${NP}_i$ and $v_{EDS}$ are random value produced by MATLAB.}

\\begin{table}[htbp] \\centering \\caption{}

\\begin{tabular}{*{11}c} \\myhline{0.4mm} $\\mathbf{\\Delta

t(\\min)}$&\\textbf{2}&\\textbf{4}&\\textbf{6}&\\textbf{8}&\\textbf{10}&\\textbf{12}&\\textbf{14}&\\textbf{16}&\\textbf{18}&\\textbf{20}\\\\ \\myhline{0.4mm}

$N_{EDS}(\\ge)$&15&22&21&21&15&17&21&16&13&14\\\\ \\hline

$H_{peak}(\\min)$&20&40&60&80&100&120&140&160&180&200\\\\ \\myhline{0.4mm} \\end{tabular} \\label{tab4} \\end{table}

We assume that the suitable value of $H_{peak}$ is 120 minutes. Then the suitable value of $\\Delta t$ is about 12 minutes, and

$N_{EDS}$ is 17 judging from Figure \\ref{fig6}. Certainly, we can work $\\Delta t$ and $N_{EDS}$ out through equation. \\begin{figure}[htbp] \\centering

\\includegraphics[width=294.6pt,totalheight=249.6pt]{fig06.eps} \\caption{} \\label{fig6} \\end{figure}

\\subsubsection{Interpretation:}

By analyzing the results above, we can conclude that when $N_{EDS}$ is 29, and $\\Delta t$ is 12, the flight schedule will meet requirement at any time. The flight schedule is: \\\\[\\intextsep]

\\begin{minipage}{\\textwidth} \\centering \\tabcaption{}

\\begin{tabular}{c|*{8}c|c|c} \\myhline{0.4mm}

\\backslashbox{\\textbf{Set}}{\\textbf{Type}}&\\textbf{1}&\\textbf{2}&\\textbf{3}&\\textbf{4}&\\textbf{5}&\\textbf{6}&\\textbf{7}&\\textbf{8}&\\textbf{Numbers of Bags}&\\textbf{Numbers of Flights}\\\\

\\myhline{0.4mm}

1&2&0&0&0&2&1&0&0&766&5\\\\ \\hline

2&2&0&2&0&2&0&0&0&732&4\\\\ \\hline

3&0&1&1&1&2&0&0&0&762&4\\\\ \\hline

4&0&1&0&0&2&1&0&0&735&4\\\\ \\hline

5&0&1&0&0&2&1&0&0&735&5\\\\ \\hline

6&2&0&0&0&1&0&0&1&785&5\\\\ \\hline

7&2&0&0&0&2&0&1&0&795&5\\\\ \\hline

8&0&1&0&0&2&1&0&0&735&4\\\\ \\hline

9&2&0&0&0&2&1&0&0&766&5\\\\ \\hline

10&0&0&0&2&2&0&0&0&758&5\\\\ \\hline

Total&10&4&3&3&19&5&1&1&7569&46\\\\ \\myhline{0.4mm} \\end{tabular} \\label{tab5} \\end{minipage} \\\\[\\intextsep]

We have produced random value for ${NP}_i$ and $v_{EDS}$. On this condition, the number of EDSs is 17, which is less than 29 that we decide for the airport A. That is to say our solution can meet the real requirement.

\\subsubsection{Airport B:}

\\paragraph{The passenger load is 100{\\%}}

The checking speed of EDS is 160 bags/hour. \\begin{table}[htbp] \\centering \\caption{}

\\begin{tabular}{*{11}c} \\myhline{0.4mm} $\\mathbf{\\Delta

t(\\min)}$&\\textbf{2}&\\textbf{4}&\\textbf{6}&\\textbf{8}&\\textbf{10}&\\textbf{12}&\\textbf{14}&\\textbf{16}&\\textbf{18}&\\textbf{20}\\\\ \\myhline{0.4mm}

$N_{EDS}(\\ge)$&33&33&33&33&33&30&27&23&21&19\\\\ \\hline

$H_{peak}(\\min)$&20&40&60&80&100&120&140&160&180&200\\\\ \\myhline{0.4mm} \\end{tabular} \\label{tab6} \\end{table}

We assume that the suitable value of $H_{peak}$ is 120 minutes. Then the suitable value of $\\Delta t$ is about 12 minutes, and