2010 HiMCM A题特等奖学生论文下载2541

2010 HiMCM A题特等奖学生论文下载2541

 

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论文摘要如下：

13th Annual High School Mathematical Contest in Modeling (HiMCM) Summary Sheet (Please attach a copy of this page to each copy of your Solution Paper.)

Team Control Number: 2541

 

Problem Chosen: A

Please type a summary of your results on this page. Please remember not to include the name of your school, advisor, or team members on this page.

Our model is 5-year plan for the development of bicycle-sharing programs in Chicago, Denver and Des Moines, aiming to popularize a new means of transport and to relieve the city center of traffic overflow.

The basis of the model is a database of roads, bike lanes, buildings, facilities and existing bike-rental stations in the three cities. All sites of buildings, facilities and existing rental stations are marked with accurate longitudes and latitudes. With this database, we define the city center for every city. According to our analysis, we should set up an initial network of bicycle-sharing program (including bicycle rental stations and bike lanes) in Des Moines and Chicago, where the existing bicycle service is far from enough. Especially, in Chicago, a metropolis covered with a developed subway system, we should place bicycle rental stations near subway stations. In Denver, a city already covered with a bicycle-sharing network, we may directly embark on improvements.

The five-year program comes in three parts. The first part is a two-year initial plan for Chicago and Des Moines, with which we build an initial network of bicycle rental stations and lanes in these two cities. When looking for ideal positions to place new stations, we divide the buildings/facilities in the city center into several types and then apply the analytic hierarchy process (AHP) to quantize the different significance of these types. Afterwards, we weigh the significance values of buildings with the distance between the buildings and the new station so as to find the ideal location of the rental station.

 

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