2026-02-03 09:00:27 +08:00
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\contentsline {section}{\numberline {1}Introduction}{3}{section.1}%
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\contentsline {subsection}{\numberline {1.1}Background}{3}{subsection.1.1}%
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\contentsline {subsection}{\numberline {1.2}Restatement of the Problem}{3}{subsection.1.2}%
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\contentsline {subsection}{\numberline {1.3}Our Work}{3}{subsection.1.3}%
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\contentsline {section}{\numberline {2}Assumptions and Justifications}{4}{section.2}%
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\contentsline {section}{\numberline {3}Notations}{4}{section.3}%
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\contentsline {section}{\numberline {4}Model I: Universal Energy-Equivalent and Temporal Coordination Model}{5}{section.4}%
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\contentsline {subsection}{\numberline {4.1}Model Overview}{5}{subsection.4.1}%
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\contentsline {subsection}{\numberline {4.2}Energy-Equivalent as a Cost Proxy}{5}{subsection.4.2}%
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\contentsline {subsubsection}{\numberline {4.2.1}Cost Convergence Analysis}{5}{subsubsection.4.2.1}%
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\contentsline {subsubsection}{\numberline {4.2.2}Empirical Industry Validation}{6}{subsubsection.4.2.2}%
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\contentsline {subsection}{\numberline {4.3}Ideal Energy Cost Modeling}{6}{subsection.4.3}%
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\contentsline {subsection}{\numberline {4.4}Ideal Timeline and Logistic Efficiency Modeling}{7}{subsection.4.4}%
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\contentsline {subsection}{\numberline {4.5}Unified Cost Optimization via Time Opportunity Scaling}{9}{subsection.4.5}%
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\contentsline {subsubsection}{\numberline {4.5.1}Reformulation via Opportunity Cost}{9}{subsubsection.4.5.1}%
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\contentsline {subsubsection}{\numberline {4.5.2}Calibration of Cost Parameter $\lambda $}{9}{subsubsection.4.5.2}%
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\contentsline {subsection}{\numberline {4.6}Results of Task 1}{10}{subsection.4.6}%
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\contentsline {subsection}{\numberline {4.7}Stochastic Risk and Robustness Analysis}{12}{subsection.4.7}%
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\contentsline {subsection}{\numberline {4.8}Results of Task 2}{13}{subsection.4.8}%
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\contentsline {section}{\numberline {5}Model II: Life-Support Logistics and Stochastic Water Balance Model}{15}{section.5}%
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\contentsline {subsection}{\numberline {5.1}Model Overview}{15}{subsection.5.1}%
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\contentsline {subsection}{\numberline {5.2}Water Demand Architecture}{15}{subsection.5.2}%
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\contentsline {subsubsection}{\numberline {5.2.1}Domestic Water Evolution}{15}{subsubsection.5.2.1}%
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\contentsline {subsubsection}{\numberline {5.2.2}Medical Emergency Demand Modeling}{15}{subsubsection.5.2.2}%
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\contentsline {subsection}{\numberline {5.3}Replenishment and Buffer Strategies}{16}{subsection.5.3}%
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\contentsline {subsubsection}{\numberline {5.3.1}Initial Month Filling}{16}{subsubsection.5.3.1}%
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\contentsline {subsubsection}{\numberline {5.3.2}Monthly Routine Compensation}{16}{subsubsection.5.3.2}%
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\contentsline {subsection}{\numberline {5.4}Results of Task 3}{16}{subsection.5.4}%
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\contentsline {subsubsection}{\numberline {5.4.1}Demand Scaling Across Comfort Tiers}{16}{subsubsection.5.4.1}%
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\contentsline {subsubsection}{\numberline {5.4.2}Integrated Trade-off Analysis of Transport Schemes}{17}{subsubsection.5.4.2}%
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\contentsline {subsection}{\numberline {5.5}Sensitivity Analysis for Water Supply Model}{17}{subsection.5.5}%
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\contentsline {subsection}{\numberline {5.6}Conclusion and Strategic Insights}{19}{subsection.5.6}%
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\contentsline {section}{\numberline {6}Model Extension}{19}{section.6}%
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\contentsline {subsection}{\numberline {6.1}Quantification of Baseline Environmental Impacts}{19}{subsection.6.1}%
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\contentsline {subsection}{\numberline {6.2}Earth Port Assessment}{20}{subsection.6.2}%
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\contentsline {subsection}{\numberline {6.3}Environmental Priority Optimization Framework}{21}{subsection.6.3}%
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\contentsline {subsection}{\numberline {6.4}Result of Task 4}{21}{subsection.6.4}%
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\contentsline {section}{\numberline {7}Strengths and Weaknesses}{22}{section.7}%
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\contentsline {subsection}{\numberline {7.1}Strengths}{22}{subsection.7.1}%
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\contentsline {subsection}{\numberline {7.2}Weaknesses and Possible Improvement}{22}{subsection.7.2}%
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\contentsline {section}{References}{23}{section*.29}%
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