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2017 HiMCM B題特等獎學生論文下載8201

Category: HiMCM數(shù)模競賽, 國際競賽 Date: 2018年8月11日下午2:25

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論文摘要如下：

Summary? ?Sheet

Our? ?team? ?was? ?tasked? ?with? ?designing? ?a? ?ski? ?resort? ?set? ?to? ?be? ?built? ?over? ?the? ?Wasatch? ?Peaks? ?Ranch property.? ?Specifically,? ?the? ?resort? ?had? ?to? ?have? ?plenty? ?of? ?trails,? ?main? ?slopes? ?of? ?varying? ?lengths,? ?at least? ?160? ?total? ?kilometers? ?of? ?slopes? ?and? ?trails,? ?and? ?a? ?slope? ?distribution? ?approximating? ?20%? ?green circles,? ?40%? ?blue? ?squares,? ?and? ?40%? ?black? ?diamonds.? ?We? ?obtained? ?GIS? ?data? ?of? ?the? ?resort? ?location and? ?used? ?gradient? ?vector? ?fields? ?and? ?Mathematica’s? ?morphological? ?image? ?processing? ?capabilities to? ?mathematically? ?determine? ?the? ?locations? ?of? ?“fall? ?lines,”? ?the? ?safest? ?and? ?most? ?optimal? ?ski? ?slopes on? ?the? ?property.? ?The? ?robustness? ?and? ?stability? ?of? ?our? ?model? ?was? ?determined? ?by? ?running? ?an agent-based? ?watershed? ?analysis? ?within? ?SURFER? ?to? ?simulate? ?fall? ?lines.? ?Through? ?visual? ?inspection of? ?the? ?few? ?flat? ?regions,? ?we? ?added? ?in? ?ski? ?lifts? ?and? ?ski? ?lift? ?stations,? ?marking? ?where? ?the? ?slopes? ?would start? ?and? ?end.? ?? ?Overlaying? ?these? ?three? ?maps? ?on? ?top? ?of? ?each? ?other? ?allowed? ?us? ?to? ?identify? ?the? ?most ideal? ?paths:? ?ones? ?following? ?the? ?slope.? ?As? ?did? ?many? ?Olympic? ?venues? ?before? ?ours,? ?we? ?want? ?to showcase? ?the? ?beauty? ?of? ?the? ?American? ?landscape? ?for? ?the? ?world? ?by? ?making? ?as? ?little? ?alterations? ?to the? ?natural? ?landscape? ?as? ?possible:? ?all? ?model? ?and? ?ski? ?slope? ?designs? ?were? ?built? ?using? ?existing? ?fall lines? ?and? ?around? ?landforms? ?to? ?provide? ?for? ?an? ?eco-friendly? ?and? ?cost-effective? ?ski? ?slope.

We? ?tested? ?our? ?design? ?by? ?comparing? ?it? ?to? ?other? ?selected? ?resorts? ?in? ?North? ?America.? ?Our? ?metric? ?took into? ?account? ?three? ?main? ?factors:? ?land? ?per? ?lift,? ?slopes? ?per? ?lift,? ?and? ?slope? ?difficulty? ?distribution.? ?By comparing? ?them? ?to? ?optimal? ?values,? ?the? ?metric? ?produces? ?a? ?rating? ?for? ?each? ?ski? ?resort.? ?We? ?also created? ?a? ?computational? ?agent-based? ?model? ?in? ?NetLogo? ?which? ?allowed? ?us? ?to? ?manipulate? ?variables and? ?test? ?responses? ?of? ?our? ?resort? ?to? ?stochastic? ?variations? ?in? ?skier? ?speed? ?and? ?lift? ?distribution.

Our? ?final? ?solution? ?consists? ?of? ?a? ?total? ?of? ?199.4? ?km? ?of? ?path,? ?with? ?a? ?distribution? ?of? ?22.72%? ?green circle,? ?38.50%? ?blue? ?square,? ?and? ?38.77%? ?black? ?diamond.? ?? ?The? ?metric? ?ranks? ?Wasatch? ?Peaks? ?Ranch fourth? ?among? ?the? ?sampled? ?North? ?American? ?resorts.? ?? ?Wasatch? ?Peaks? ?has? ?potential? ?to? ?become? ?a highly? ?desirable? ?ski? ?resort,? ?as? ?well? ?as? ?a? ?strong? ?contender? ?to? ?host? ?of? ?the? ?2026? ?Olympics.

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