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2026_mcm_b/latex/remember.tex

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2026-02-03 07:18:14 +08:00
%图
\begin{figure}[H]
\centering
\includegraphics[width=12cm]{flowchartmodel1.png}
\caption{}
\label{}
\end{figure}
%表
\begin{table}[H]\small
\centering
\caption{Truncation Correction for Key High-Demand Sites}
\label{tab:truncation_correction}
\begin{tabular}{lcccc}
\toprule
Site Name & $\mu$ & $p_{trunc}$&$\tilde{\mu}$ & Correction Magnitude \\
\midrule
MFP Waverly & 396.6 & 81.57\% & 429.0 & +8.2\% \\
MFP Avoca & 314.6 & 26.84\% & 323.0 & +2.7\% \\
MFP Endwell United Methodist & 285.3 & 14.34\% & 289.3 & +1.4\% \\
MFP College TC3 - College & 261.5 & 16.80\% & 265.9 & +1.7\% \\
MFP Redeemer Lutheran Church & 230.6 & 10.07\% & 232.9 & +1.0\% \\
\bottomrule
\end{tabular}
\end{table}
%有颜色的表
\begin{table}[H]
\small
\centering
\caption{Performance Comparison of Different Allocation Schemes }
\label{tab:allocation_performance}
% 缩放至单栏宽度保留1em内边距避免贴边
\resizebox{\dimexpr\linewidth-1em\relax}{!}{
\begin{tabular}{lllll}
\toprule[1pt] % 加粗顶线
\rowcolor{white} % 表头底色为白
Allocation Scheme & E1 & E2& F1$\downarrow$ & F2 $\uparrow$\\
\midrule[0.6pt]
\rowcolor{recommendColor} % 推荐方案浅蓝底色
Recommended Scheme ($\tilde{\mu}$ Proportional) & 139,469 & 131,462 & 0.314 & 2.00 \\
\rowcolor{baselineColor} % 基线方案浅灰底色
Baseline 1: Uniform Allocation & 104,797 & 101,309 & 0.024 & 9.25 \\
\rowcolor{baselineColor}
Baseline 2: 2019 Historical Scaling & 104,071 & 100,264 & 0.091 & 5.00 \\
\rowcolor{baselineColor}
Baseline 3: Raw Demand Proportion (Raw $\mu$) & 139,129 & 131,397 & 0.313 & 2.00 \\
\bottomrule[1pt] % 加粗底线
\end{tabular}
}
\end{table}
%点
\begin{itemize}
\item \textbf{Survivorship Bias in Observed Data}: The table and Figure \ref{Truncation Correction for High-Demand Sites} reveal "survivorship bias" in observed data. For MFP Waverly, its 81.57\% truncation probability means the site operated nearly permanently at full capacity historically—its observed mean reflects capacity limits, not the ceiling of true demand.
\item \textbf{Significance of Correction}: Via the truncated normal model, the sites potential demand is adjusted upward to 429.0. This ensures resource allocation is based on "actual community needs" , resolving the underestimation of high-demand areas due to insufficient past provision.
\end{itemize}