2017 HiMCM B題特等獎(jiǎng)學(xué)生論文下載8124

2017 HiMCM B題特等獎(jiǎng)學(xué)生論文下載8124

 

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論文摘要如下：

Abstract: ? ?? ?? ?? ?? ?

 

As? ?the? ?2018? ?Winter? ?Olympics? ?is? ?approaching,? ?skiing? ?fans? ?are? ?excited? ?and? ?prompted? ?to construct? ?a? ?new? ?ski? ?resorts? ?in? ?Wasatch? ?Peaks? ?Ranch.? ?Upon? ?their? ?request,? ?we? ?construct? ?21? ?skiing routes? ?with? ?1-2-2? ?difficulty? ?level? ?distribution? ?and? ?a? ?total? ?slope? ?length? ?over? ?160? ?kilometers. ? ?? ?? ??

 

?In? ?part? ?1,? ?we? ?simplify? ?the? ?problem? ?by? ?constructing? ?a? ?13-by-13? ?0-1? ?matrix,? ?seeking? ?all? ?the potential? ?ski? ?slopes? ?as? ?decision? ?variables.? ?To? ?construct? ?a? ?topological? ?structure? ?for? ?the? ?routes,? ?we find? ?the? ?nodes? ?on? ?the? ?smooth? ?terrains? ?by? ?comparing? ?the? ?normal? ?vectors.? ?We? ?fill? ?the? ?matrix? ?with? ?1 or? ?0? ?to? ?show? ?whether? ?the? ?node? ?is? ?used? ?after? ?optimizing? ?the? ?solution? ?using? ?Lingo.? ?On? ?top? ?of? ?that, we? ?apply? ?Cluster? ?Analysis? ?to? ?group? ?the? ?peaks? ?into? ?different? ?groups? ?to? ?find? ?the? ?typical? ?peaks? ?and bowls? ?that? ?can? ?be? ?applied? ?to? ?the? ?Linear? ?Programming? ?(0-1? ?matrix)? ?Model. ? ?? ?? ?? ?? ?

 

In? ?part? ?2,? ?we? ?evaluate? ?all? ?the? ?given? ?data? ?by? ?employing? ?multiple-criteria? ?decision? ?analysis.? ?Our design? ?of? ?the? ?resort? ?is? ?within? ?the? ?top? ?5? ?resorts? ?among? ?the? ?given? ?resorts.? ?After? ?processing? ?the? ?data, we? ?go? ?through? ?an? ?analytic? ?hierarchy? ?process? ?to? ?construct? ?a? ?clear? ?criteria? ?and? ?apply? ?it? ?to? ?our design.? ?The? ?major? ?criteria? ?include? ?the? ?total? ?distance,? ?skiable? ?acres,? ?vertical? ?drop,? ?number? ?of? ?runs, distribution? ?of? ?difficulty,? ?number? ?of? ?lifts,? ?and? ?annual? ?snowfall. ? ?? ?? ??

 

?After? ?building? ?our? ?model,? ?we? ?come? ?up? ?with? ?specific? ?solution? ?and? ?design? ?to? ?each? ?question.

 

Keywords:? ?0-1? ?matrix,? ?multiple-criteria? ?decision? ?analysis,? ?optimal? ?solution,? ?analytical hierarchy? ?process,? ?pairwise? ?comparison.

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