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2026_mcm_b/plane/__pycache__/cost_analysis.cpython-314.pyc

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plane: fig
2026-02-02 21:47:52 +08:00
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Aviation Cost Structure Analysis
证明：在成熟运输体系中，能源成本与总成本具有强相关性
Data Source: MIT Airline Data Project / US DOT Form 41 via BTS
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绘制成本收敛曲线：证明当复用次数增加时，总成本收敛于能源成本
模型假设 (Boeing 737-800):
- 飞机购置价: $80M
- 设计寿命: 50,000 cycles
- 平均航程: ~1000 miles/cycle
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=== 2018年单次飞行成本估算 (B737-800) ===zASM per cycle: <20>,zFuel cost per cycle: $<24>,.0fzOther ops per cycle: $zTotal ops per cycle: $i<>r&皙<><E79A99><EFBFBD><EFBFBD><EFBFBD>?r(zEnergy (Fuel) Cost<73>r+r,r3r)rHzOther Operating Cost<73>#95A5A6zAmortized Hardware<72>k-zTotal Cost per Flight<68>r1r3r<rJr?r=g<><67><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>?z Asymptote: $rErF<00>ro)r2<00>zorderzN=1 (Expendable)
$g<00><>.ArC<00>Mr><00>leftrT<00>redrV<00>round<6E> mistyroseg<65><67><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>?rZr]<00>o<>orange)r,r2r<>zN=20 (Falcon 9)
$z.2f<EFBFBD>moccasin<69>gozN=50,000 (Aviation)
$i'rS<00>green<65>honeydew<65><77>g<><67><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>?r*i Ng333333<33>?zEnergy Dominance Zonero)r6r,rGr`rq<00>log<6F>Number of Reuses (N)r5<00>Cost per Flight ($)uiCost Convergence: Hardware Amortization → Energy Dominance
(Boeing 737-800 Model, 2018 US Airline Data)rj<00> upper rightrhT<>both<74><02>whichr+z7$Cost(N) = \frac{C_{hardware}}{N} + C_{fuel} + C_{ops}$<24>{<14>G<EFBFBD>z<EFBFBD>?<3F>bottom<6F>white<74><04> transformr6<00>verticalalignmentrbrrrsrv)rw<00>ry)rr<>r<><00>logspace<63>log10<31> full_likerzr{r|r}r<>r<>r<>r<><00>argmin<69>abs<62>axvspan<61>get_ylim<69>
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对比三种场景的成本结构：
1. 一次性火箭 (N=1)
2. 可复用火箭 (N=20, Falcon 9)
3. 成熟航空业 (N=50,000)
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