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Moon Colony Logistics - Pareto Front & Knee Point Analysis

Multi-objective optimization for Space Elevator + Rocket combination:
- Objective 1: Minimize completion time T
- Objective 2: Minimize total energy E

Finds the Pareto front and identifies the "knee point" as the optimal trade-off.
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计算给定完成年限下的最优方案（电梯优先+低纬火箭）

返回: 方案详情字典，如果无法完成则返回None
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生成 Pareto 前沿数据

对于此问题，由于"时间越长→能量越低"是单调关系，
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方法1: 最大曲率法

在归一化后的 (T, E) 曲线上找曲率最大的点。
曲率 κ = |y''| / (1 + y'^2)^(3/2)
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方法2: 最大距离法（L-method / Kneedle思想）

找到距离"起点-终点连线"最远的点。
这通常对应于"边际收益递减"最明显的拐点。
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方法3: 边际收益法

找到"多投入1年时间，能量下降比例"开始低于阈值的点。
即：|dE/dT| / |E| < threshold 的第一个点
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方法4: 肘部法则（Elbow Method）

类似K-means的肘部法则，找到曲线"弯曲"最明显的点。
使用二阶导数的符号变化或绝对值。
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================================================================================z)PARETO FRONT & KNEE POINT ANALYSIS REPORTz"Moon Colony Logistics Optimization<6F>P================================================================================z
1. PROBLEM DEFINITIONz   - Total payload: <20><00><>.Ar<41>z million metric tonsz   - Elevator capacity: <20>
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5. INTERPRETATIONz   At the recommended z-year timeline:z   - Space Elevator delivers: rezM tonsz   - Rockets deliver: rfz   - Total rocket launches: rjrz
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