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--git a/latex/mcmthesis-demo.tex b/latex/mcmthesis-demo.tex index 8cb39a9..c6ccdf0 100755 --- a/latex/mcmthesis-demo.tex +++ b/latex/mcmthesis-demo.tex @@ -505,8 +505,6 @@ By prioritizing resource allocation to high-demand sites, the recommended scheme Building upon the foundation of Model I, this chapter introduces a tripartite architectural framework centered on the "Symbiotic Sites" strategy to transcend the traditional one-truck-one-site constraint and unlock dormant logistical capacity. -The model's logic initiates with a rigorous screening phase, where candidate site pairs are evaluated through a multi-dimensional filter encompassing spatial proximity, Demand Accumulation Moderation, and Demand Stability. Once viable pairs are identified, an internal resource allocation mechanism employs a multi-objective utility function to determine the optimal cargo distribution between the paired sites, effectively reconciling the intrinsic trade-off between service effectiveness and cross-site fairness. Ultimately, these symbiotic pairs are integrated as composite decision units into an enhanced global scheduling algorithm, which synchronizes their requirements with independent sites to generate a unified and optimized distribution timetable for the entire year. - \begin{figure}[H] \centering \includegraphics[width=10cm]{flowchartmodel2.png} @@ -514,6 +512,8 @@ The model's logic initiates with a rigorous screening phase, where candidate sit \label{flow chart of Model II} \end{figure} +The model's logic initiates with a rigorous screening phase, where candidate site pairs are evaluated through a multi-dimensional filter encompassing spatial proximity, Demand Accumulation Moderation, and Demand Stability. Once viable pairs are identified, an internal resource allocation mechanism employs a multi-objective utility function to determine the optimal cargo distribution between the paired sites, effectively reconciling the intrinsic trade-off between service effectiveness and cross-site fairness. Ultimately, these symbiotic pairs are integrated as composite decision units into an enhanced global scheduling algorithm, which synchronizes their requirements with independent sites to generate a unified and optimized distribution timetable for the entire year. + \subsection{Model Building} \subsubsection{Selection Criteria for Symbiotic Sites} @@ -737,24 +737,23 @@ Fig. \ref{Fairness diagnostics} presents the fairness diagnostics for 70 service Sensitivity analysis is used to verify that the key conclusions---improved effectiveness under feasibility constraints and controlled risk---remain stable under reasonable perturbations of a small set of threshold parameters. Throughout this section, we interpret parameter choices using the following decision rule: we prefer settings that (i) maintain feasibility and the equity floor enforced by the scheduling constraints (e.g., minimum service frequency), (ii) keep shortfall risk below an acceptable level (e.g., $R1 \le 5\%$), and (iii) maximize distribution effectiveness, prioritizing quality-weighted service (E2) when trade-offs exist. \begin{table}[H] - \footnotesize - \centering - \caption{Key parameters and tested ranges in sensitivity analysis} - \label{tab:sensitivity_params} - \begin{tabular}{@{}llllp{4.2cm}@{}} - \toprule[1pt] - Parameter & Meaning & Baseline & Tested range & Rationale for range \\ - \midrule[0.6pt] - $C_0$ & Capacity threshold for correction (Task 1) & 350 & 350--450 & Around observed ``capacity ceiling'' \\ - $p^{trunc}_0$ & Truncation probability threshold (Task 1) & 0.1 & 0.01--0.10 & From conservative to permissive correction \\ - $\hat c$ & Quality threshold used in E2 (Task 1) & 250 & 200--300 & Covers typical quality cutoffs \\ - Merge ratio & Portion merged into dual-stop routes (Task 3) & 0.5 & 0.1--0.9 & From light to aggressive merging \\ - $l_{max}$ & Maximum pairing distance (Task 3) & 50 & 10--100 & Feasible local pairing to relaxed pairing \\ - $\mu_{\text{sum}}$ & Cap on paired expected demand (Task 3) & 450 & 350--550 & Controls combined-stop overload risk \\ - CV threshold & Maximum volatility admitted for pairing (Task 3) & 0.5 & 0.1--1.0 & Filters unstable sites vs. broader admission \\ - \bottomrule[1pt] - \end{tabular} - \end{table} + \centering + \caption{Key parameters and tested ranges in sensitivity analysis} + \label{tab:sensitivity_params} + \begin{tabular}{lccc} + \toprule[1pt] + Parameter & Meaning & Baseline & Tested range \\ + \midrule[0.6pt] + $C_0$ & Capacity threshold for correction (Task 1) & 350 & 350--450 \\ + $p^{trunc}_0$ & Truncation probability threshold (Task 1) & 0.1 & 0.01--0.10 \\ + $\hat c$ & Quality threshold used in E2 (Task 1) & 250 & 200--300 \\ + Merge ratio & Portion merged into dual-stop routes (Task 3) & 0.5 & 0.1--0.9 \\ + $l_{max}$ & Maximum pairing distance (Task 3) & 50 & 10--100 \\ + $\mu_{\text{sum}}$ & Cap on paired expected demand (Task 3) & 450 & 350--550 \\ + CV threshold & Maximum volatility admitted for pairing (Task 3) & 0.5 & 0.1--1.0 \\ + \bottomrule[1pt] + \end{tabular} +\end{table} \subsection{Sensitivity Analysis for Task 1}